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1193_3 | Maoism
Maoism, the far-left ideology of Mao Zedong and his followers, places a heavy emphasis on the role of peasants in its goals. In contrast to other Marxist schools of thought which normally seek to acquire the support of urban workers, Maoism sees the peasantry as key. Believing that "political power grows out of the barrel of a gun", Maoism saw the Chinese Peasantry as the prime source for a Marxist vanguard because it possessed two qualities: (i) they were poor, and (ii) they were a political blank slate; in Mao's words, “A clean sheet of paper has no blotches, and so the newest and most beautiful words can be written on it”. During the Chinese Civil War and the Second Sino-Japanese War, Mao and the Chinese Communist Party made extensive use of peasants and rural bases in their military tactics, often eschewing the cities.
Following the eventual victory of the Communist Party in both wars, the countryside and how it should be run remained a focus for Mao. In 1958, Mao launched the Great Leap Forward, a social and economic campaign which, amongst other things, altered many aspects of rural Chinese life. It introduced mandatory collective farming and forced the peasantry to organize itself into communal living units which were known as people's communes. These communes, which consisted of 5,000 people on average, were expected to meet high production quotas while the peasants who lived on them adapted to this radically new way of life. The communes were run as co-operatives where wages and money were replaced by work points. Peasants who criticised this new system were persecuted as "rightists" and "counter-revolutionaries". Leaving the communes was forbidden and escaping from them was difficult or impossible, and those who attempted it were subjected to party-orchestrated "public struggle sessions," which further jeopardized their survival. These public criticism sessions were often used to intimidate the peasants into obeying local officials and they often devolved into little more than public beatings. | [
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1193_4 | On the communes, experiments were conducted in order to find new methods of planting crops, efforts were made to construct new irrigation systems on a massive scale, and the communes were all encouraged to produce steel backyard furnaces as part of an effort to increase steel production. However, following the Anti-Rightist Campaign, Mao had instilled a mass distrust of intellectuals into China, and thus engineers often were not consulted with regard to the new irrigation systems and the wisdom of asking untrained peasants to produce good quality steel from scrap iron was not publicly questioned. Similarly, the experimentation with the crops did not produce results. In addition to this the Four Pests Campaign was launched, in which the peasants were called upon to destroy sparrows and other wild birds that ate crop seeds, in order to protect fields. Pest birds were shot down or scared away from landing until they dropped from exhaustion. This campaign resulted in an ecological disaster that saw an explosion of the vermin population, especially crop-eating insects, which was consequently not in danger of being killed by predators.
None of these new systems were working, but local leaders did not dare to state this, instead, they falsified reports so as not to be punished for failing to meet the quotas. In many cases they stated that they were greatly exceeding their quotas, and in turn, the Chinese state developed a completely false sense of success with regard to the commune system.
All of this culminated in the Great Chinese Famine, which began in 1959, lasted 3 years, and saw an estimated 15 to 30 million Chinese people die. A combination of bad weather and the new, failed farming techniques that were introduced by the state led to massive shortages of food. By 1962, the Great Leap Forward was declared to be at an end. | [
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1193_5 | In the late 1960s and early 1970s, Mao once again radically altered life in rural China with the launching of the Down to the Countryside Movement. As a response to the Great Chinese Famine, the Chinese President Liu Shaoqi began "sending down" urban youths to rural China in order to recover its population losses and alleviate overcrowding in the cities. However, Mao turned the practice into a political crusade, declaring that the sending down would strip the youth of any bourgeois tendencies by forcing them to learn from the unprivileged rural peasants. In reality, it was the Communist Party's attempt to reign in the Red Guards, who had become uncontrollable during the course of the Cultural Revolution. 10% of the 1970 urban population of China was sent out to remote rural villages, often in Inner Mongolia. The villages, which were still poorly recovering from the effects of the Great Chinese Famine, did not have the excess resources that were needed to support the newcomers. Furthermore, the so-called "sent-down youth" had no agricultural experience and as a result, they were unaccustomed to the harsh lifestyle that existed in the countryside, and their unskilled labor in the villages provided little benefit to the agricultural sector. As a result, many of the sent-down youth died in the countryside. The relocation of the youths was originally intended to be permanent, but by the end of the Cultural Revolution, the Communist Party relented and some of those who had the capacity to return to the cities were allowed to do so. | [
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1193_6 | In imitation of Mao's policies, the Khmer Rouge of Cambodia (who were heavily funded and supported by the People's Republic of China) created their own version of the Great Leap Forward which was known as "Maha Lout Ploh". With the Great Leap Forward as its model, it had similarly disastrous effects, contributing to what is now known as the Cambodian genocide. As a part of the Maha Lout Ploh, the Khmer Rouge sought to create an entirely agrarian socialist society by forcibly relocating 100,000 people to move from Cambodia's cities into newly created communes. The Khmer Rouge leader, Pol Pot sought to "purify" the country by setting it back to "Year Zero", freeing it from "corrupting influences". Besides trying to completely de-urbanize Cambodia, ethnic minorities were slaughtered along with anyone else who was suspected of being a "reactionary" or a member of the "bourgeoisie", to the point that wearing glasses was seen as grounds for execution. The killings were only brought to an end when Cambodia was invaded by the neighboring socialist nation of Vietnam, whose army toppled the Khmer Rouge. However, with Cambodia's entire society and economy in disarray, including its agricultural sector, the country still plunged into renewed famine due to vast food shortages. However, as international journalists began to report on the situation and send images of it out to the world, a massive international response was provoked, leading to one of the most concentrated relief efforts of its time.
Agrarian parties
Peasant parties first appeared across Eastern Europe between 1860 and 1910, when commercialized agriculture and world market forces disrupted traditional rural society, and the railway and growing literacy facilitated the work of roving organizers. Agrarian parties advocated land reforms to redistribute land on large estates among those who work it. They also wanted village cooperatives to keep the profit from crop sales in local hands and credit institutions to underwrite needed improvements. Many peasant parties were also nationalist parties because peasants often worked their land for the benefit of landlords of different ethnicity. | [
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1193_7 | Peasant parties rarely had any power before World War I but some became influential in the interwar era, especially in Bulgaria and Czechoslovakia. For a while, in the 1920s and the 1930s, there was a Green International (International Agrarian Bureau) based on the peasant parties in Bulgaria, Czechoslovakia, Poland, and Serbia. It functioned primarily as an information center that spread the ideas of agrarianism and combating socialism on the left and landlords on the right and never launched any significant activities.
Tunisia
The Farmers' Voice Party won a seat in the district of Jendouba after the parliamentary election of 2014.
Europe
Bulgaria
In Bulgaria, the Bulgarian Agrarian National Union (BZNS) was organized in 1899 to resist taxes and build cooperatives. BZNS came to power in 1919 and introduced many economic, social, and legal reforms. However, conservative forces crushed BZNS in a 1923 coup and assassinated its leader, Aleksandar Stamboliyski (1879–1923). BZNS was made into a communist puppet group until 1989, when it reorganized as a genuine party.
Czechoslovakia
In Czechoslovakia, the Republican Party of Agricultural and Smallholder People often shared power in parliament as a partner in the five-party pětka coalition. The party's leader, Antonin Svehla (1873–1933), was prime minister several times. It was consistently the strongest party, forming and dominating coalitions. It moved beyond its original agrarian base to reach middle-class voters. The party was banned by the National Front after the Second World War.
France
In France, the Hunting, Fishing, Nature, Tradition party is a moderate conservative, agrarian party, reaching a peak of 4.23% in the 2002 French presidential election. It would later on become affiliated to France's main conservative party, Union for a Popular Movement. More recently, the Resistons! movement of Jean Lassalle espoused agrarianism. | [
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1193_8 | Hungary
In Hungary, the first major agrarian party, the small-holders party was founded in 1908. The party became part of the government in the 1920s but lost influence in the government. A new party, the Independent Smallholders, Agrarian Workers and Civic Party was established in 1930 with a more radical program representing larger scale land redistribution initiatives. They implemented this program together with the other coalition parties after WWII. However, after 1949 the party was outlawed when a one-party system was introduced. They became part of the government again 1990-1994, and 1998-2002 after which they lost political support. The ruling Fidesz party has an agrarian faction, and promotes agrarian interest since 2010 with the emphasis now placed on supporting larger family farms versus small-holders.
Ireland
In the late 19th century, the Irish National Land League aimed to abolish landlordism in Ireland and enable tenant farmers to own the land they worked on. The "Land War" of 1878–1909 led to the Irish Land Acts, ending absentee landlords and ground rent and redistributing land among peasant farmers.
Post-independence, the Farmers' Party operated in the Irish Free State from 1922, folding into the National Centre Party in 1932. It was mostly supported by wealthy farmers in the east of Ireland.
Clann na Talmhan (Family of the Land; also called the National Agricultural Party) was founded in 1938. They focused more on the poor smallholders of the west, supporting land reclamation, afforestation, social democracy and rates reform. They formed part of the governing coalition of the Government of the 13th Dáil and Government of the 15th Dáil. Economic improvement in the 1960s saw farmers vote for other parties and Clann na Talmhan disbanded in 1965.
Latvia
In Latvia, the Union of Greens and Farmers is supportive of traditional small farms and perceives them as more environmentally friendly than large-scale farming: Nature is threatened by development, while small farms are threatened by large industrial-scale farms.
Lithuania
In Lithuania, as of 2017, the government is led by the Lithuanian Farmers and Greens Union, under the leadership of industrial farmer Ramūnas Karbauskis.
Nepal
In late 2021, former minister Hridayesh Tripathi formed People's Progressive Party under this ideology. | [
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1193_9 | Poland
In Poland, the Polish People's Party traces its tradition to an agrarian party in Austro-Hungarian-controlled Galician Poland. After the fall of the communist regime, PPP's biggest success came in 1993 elections, where it won 132 out of 460 parliamentary seats. Since then, PPP's support has steadily declined, until 2019, when they formed Polish Coalition with an anti- establishment, direct democracy Kukiz'15 party, and managed to get 8.5% of votes. Moreover, PPP tends to get much better results in local elections. In 2014 elections they have managed to get 23.88% of votes.
The right-wing Law and Justice party has also become supportive of agrarian policies in recent years and polls show that most of their support comes from rural areas. AGROunia resembles the features of agrarianism.
Romania
In Romania, older parties from Transylvania, Moldavia, and Wallachia merged to become the National Peasants' Party in 1926. Iuliu Maniu (1873–1953) was a prime minister with an agrarian cabinet from 1928 to 1930 and briefly in 1932–1933, but the Great Depression made proposed reforms impossible. The communist regime dissolved the party in 1947, but it reformed in 1989 after they fell from power.
The reformed party, which also incorporated elements of Christian democracy in its ideology, governed Romania as part of the Romanian Democratic Convention between 1996 and 2000.
Serbia
In Serbia, Nikola Pašić (1845–1926) and his People's Radical Party dominated Serbian politics after 1903. The party also monopolized power in Yugoslavia from 1918 to 1929. During the dictatorship of the 1930s, the prime minister was from that party.
Ukraine
In Ukraine, the Radical Party of Oleh Lyashko has promised to purify the country of oligarchs "with a pitchfork". The party advocates a number of traditional left-wing positions (a progressive tax structure, a ban on agricultural land sale and eliminating the illegal land market, a tenfold increase in budget spending on health, setting up primary health centres in every village
), and mixes them with strong nationalist sentiments. | [
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1193_10 | United Kingdom
In land law the heyday of English, Irish (and thus Welsh) agrarianism was to 1603, led by the Tudor royal advisors, who sought to maintain a broad pool of agricultural commoners from which to draw military men, against the interests of larger landowners who sought enclosure (meaning complete private control of common land, over which by custom and common law lords of the manor always enjoyed minor rights). The heyday was eroded by hundreds of Acts of Parliament to expressly permit enclosure, chiefly from 1650 to the 1810s. Politicians standing strongly as reactionaries to this included the Levellers, those anti-industrialists (Luddites) going beyond opposing new weaving technology and, later, radicals such as William Cobbett.
A high level of net national or local self-sufficiency has a strong base in campaigns and movements. In the 19th century such empowered advocates included Peelites and most Conservatives. The 20th century saw the growth or start of influential non-governmental organisations, such as the National Farmers' Union of England and Wales, Campaign for Rural England, Friends of the Earth (EWNI) and of the England Wales, Scottish and Northern Irish political parties prefixed by and focussed on Green politics. The 21st century has seen decarbonisation already in electricity markets. Following protests and charitable lobbying local food has seen growing market share, sometimes backed by wording in public policy papers and manifestos. The UK has many sustainability-prioritising businesses, green charity campaigns, events and lobby groups ranging from espousing allotment gardens (hobby community farming) through to a clear policy of local food and/or self-sustainability models.
Oceania
Australia
Historian F.K. Crowley finds that:
The National Party of Australia (formerly called the Country Party), from the 1920s to the 1970s, promulgated its version of agrarianism, which it called "countrymindedness". The goal was to enhance the status of the graziers (operators of big sheep stations) and small farmers and justified subsidies for them. | [
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1193_11 | New Zealand
The New Zealand Liberal Party aggressively promoted agrarianism in its heyday (1891–1912). The landed gentry and aristocracy ruled Britain at this time. New Zealand never had an aristocracy but its wealthy landowners largely controlled politics before 1891. The Liberal Party set out to change that by a policy it called "populism." Richard Seddon had proclaimed the goal as early as 1884: "It is the rich and the poor; it is the wealthy and the landowners against the middle and labouring classes. That, Sir, shows the real political position of New Zealand." The Liberal strategy was to create a large class of small landowning farmers who supported Liberal ideals. The Liberal government also established the basis of the later welfare state such as old age pensions and developed a system for settling industrial disputes, which was accepted by both employers and trade unions. In 1893, it extended voting rights to women, making New Zealand the first country in the world to do so.
To obtain land for farmers, the Liberal government from 1891 to 1911 purchased of Maori land. The government also purchased from large estate holders for subdivision and closer settlement by small farmers. The Advances to Settlers Act (1894) provided low-interest mortgages, and the agriculture department disseminated information on the best farming methods. The Liberals proclaimed success in forging an egalitarian, anti-monopoly land policy. The policy built up support for the Liberal Party in rural North Island electorates. By 1903, the Liberals were so dominant that there was no longer an organized opposition in Parliament.
Back-to-the-land movement
Agrarianism is similar to but not identical with the back-to-the-land movement. Agrarianism concentrates on the fundamental goods of the earth, on communities of more limited economic and political scale than in modern society, and on simple living, even when the shift involves questioning the "progressive" character of some recent social and economic developments. Thus, agrarianism is not industrial farming, with its specialization on products and industrial scale.
See also
Agrarian Justice
Agrarian socialism
Agrarian society
Agrarian system
Georgism
Jeffersonian democracy
Agroecology
Physiocrats, 18th-century French thinkers
International Agrarian Bureau
Nordic agrarian parties
Yeoman, English farmers
Permaculture
References
Further reading
Agrarian values
Brass, Tom. Peasants, Populism and Postmodernism: The Return of the Agrarian Myth (2000) | [
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] |
1193_13 | North America
Goodwyn, Lawrence. The Populist Moment: A Short History of the Agrarian Revolt in America (1978), 1880s and 1890s in U.S.
Lipset, Seymour Martin. Agrarian socialism: the Coöperative Commonwealth Federation in Saskatchewan (1950), 1930s-1940s
McConnell, Grant. The decline of agrarian democracy(1953), 20th century U.S.
Mark, Irving. Agrarian conflicts in colonial New York, 1711–1775 (1940)
Ochiai, Akiko. Harvesting Freedom: African American Agrarianism in Civil War Era South Carolina (2007)
Robison, Dan Merritt. Bob Taylor and the agrarian revolt in Tennessee (1935)
Stine, Harold E. The agrarian revolt in South Carolina;: Ben Tillman and the Farmers' Alliance (1974)
Summerhill, Thomas. Harvest of Dissent: Agrarianism in Nineteenth-Century New York (2005)
Szatmary, David P. Shay's Rebellion: The Making of an Agrarian Insurrection (1984), 1787 in Massachusetts
Woodward, C. Vann. Tom Watson: Agrarian Rebel (1938) online edition
Global South
Brass, Tom (ed.). New Farmers' Movements in India (1995) 304 pages.
Handy, Jim. Revolution in the Countryside: Rural Conflict and Agrarian Reform in Guatemala, 1944–1954 (1994)
Paige, Jeffery M. Agrarian revolution: social movements and export agriculture in the underdeveloped world (1978) 435 pages excerpt and text search
Sanderson, Steven E. Agrarian populism and the Mexican state: the struggle for land in Sonora (1981)
Stokes, Eric. The Peasant and the Raj: Studies in Agrarian Society and Peasant Rebellion in Colonial India (1980)
Tannenbaum, Frank. The Mexican Agrarian Revolution (1930)
External links
Writings of a Deliberate Agrarian
The New Agrarian | [
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] |
1194_0 | Atomic may refer to:
Of or relating to the atom, the smallest particle of a chemical element that retains its chemical properties
Atomic physics, the study of the atom
Atomic Age, also known as the "Atomic Era"
Atomic scale, distances comparable to the dimensions of an atom
Atom (order theory), in mathematics
Atomic (cocktail), a champagne cocktail
Atomic (magazine), an Australian computing and technology magazine
Atomic Skis, an Austrian ski producer
Music
Atomic (band), a Norwegian jazz quintet
Atomic (Lit album), 2001
Atomic (Mogwai album), 2016
Atomic, an album by Rockets, 1982
Atomic (EP), by , 2013
"Atomic" (song), by Blondie, 1979
"Atomic", a song by Tiger Army from Tiger Army III: Ghost Tigers Rise
See also
Atom (disambiguation)
Atomicity (database systems)
Nuclear (disambiguation)
Atomism, philosophy about the basic building blocks of reality
Atomic formula, a formula without subformulas
Atomic number, the number of protons found in the nucleus of an atom
Atomic chess, a chess variant
Atomic coffee machine, a 1950s stovetop coffee machine
Atomic operation, in computer science
Atomic TV, a channel launched in 1997 in Poland
Nuclear power
Nuclear weapon | [
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1196_0 | In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles. Two intersecting curves may also define an angle, which is the angle of the rays lying tangent to the respective curves at their point of intersection.
Angle is also used to designate the measure of an angle or of a rotation. This measure is the ratio of the length of a circular arc to its radius. In the case of a geometric angle, the arc is centered at the vertex and delimited by the sides. In the case of a rotation, the arc is centered at the center of the rotation and delimited by any other point and its image by the rotation.
History and etymology
The word angle comes from the Latin word angulus, meaning "corner"; cognate words are the Greek (ankylοs), meaning "crooked, curved," and the English word "ankle". Both are connected with the Proto-Indo-European root *ank-, meaning "to bend" or "bow".
Euclid defines a plane angle as the inclination to each other, in a plane, of two lines which meet each other, and do not lie straight with respect to each other. According to Proclus, an angle must be either a quality or a quantity, or a relationship. The first concept was used by Eudemus, who regarded an angle as a deviation from a straight line; the second by Carpus of Antioch, who regarded it as the interval or space between the intersecting lines; Euclid adopted the third concept.
Identifying angles
In mathematical expressions, it is common to use Greek letters (α, β, γ, θ, φ, . . . ) as variables denoting the size of some angle (to avoid confusion with its other meaning, the symbol is typically not used for this purpose). Lower case Roman letters (a, b, c, . . . ) are also used, as are upper case Roman letters in the context of polygons. See the figures in this article for examples. | [
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1196_1 | In geometric figures, angles may also be identified by the labels attached to the three points that define them. For example, the angle at vertex A enclosed by the rays AB and AC (i.e. the lines from point A to point B and point A to point C) is denoted ∠BAC (in Unicode ) or . Where there is no risk of confusion, the angle may sometimes be referred to simply by its vertex (in this case "angle A").
Potentially, an angle denoted as, say, ∠BAC, might refer to any of four angles: the clockwise angle from B to C, the anticlockwise angle from B to C, the clockwise angle from C to B, or the anticlockwise angle from C to B, where the direction in which the angle is measured determines its sign (see Positive and negative angles). However, in many geometrical situations, it is obvious from context that the positive angle less than or equal to 180 degrees is meant, in which case no ambiguity arises. Otherwise, a convention may be adopted so that ∠BAC always refers to the anticlockwise (positive) angle from B to C, and ∠CAB the anticlockwise (positive) angle from C to B.
Types of angles
Individual angles
There is some common terminology for angles, whose measure is always non-negative (see ):
An angle equal to 0° or not turned is called a zero angle.
An angle smaller than a right angle (less than 90°) is called an acute angle ("acute" meaning "sharp").
An angle equal to turn (90° or radians) is called a right angle. Two lines that form a right angle are said to be normal, orthogonal, or perpendicular.
An angle larger than a right angle and smaller than a straight angle (between 90° and 180°) is called an obtuse angle ("obtuse" meaning "blunt").
An angle equal to turn (180° or radians) is called a straight angle.
An angle larger than a straight angle but less than 1 turn (between 180° and 360°) is called a reflex angle.
An angle equal to 1 turn (360° or 2 radians) is called a full angle, complete angle, round angle or a perigon.
An angle that is not a multiple of a right angle is called an oblique angle. | [
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1196_2 | The names, intervals, and measuring units are shown in the table below:
Equivalence angle pairs
Angles that have the same measure (i.e. the same magnitude) are said to be equal or congruent. An angle is defined by its measure and is not dependent upon the lengths of the sides of the angle (e.g. all right angles are equal in measure).
Two angles that share terminal sides, but differ in size by an integer multiple of a turn, are called coterminal angles.
A reference angle is the acute version of any angle determined by repeatedly subtracting or adding straight angle ( turn, 180°, or radians), to the results as necessary, until the magnitude of the result is an acute angle, a value between 0 and turn, 90°, or radians. For example, an angle of 30 degrees has a reference angle of 30 degrees, and an angle of 150 degrees also has a reference angle of 30 degrees (180–150). An angle of 750 degrees has a reference angle of 30 degrees (750–720).
Vertical and adjacent angle pairs
When two straight lines intersect at a point, four angles are formed. Pairwise these angles are named according to their location relative to each other.
A pair of angles opposite each other, formed by two intersecting straight lines that form an "X"-like shape, are called vertical angles or opposite angles or vertically opposite angles. They are abbreviated as vert. opp. ∠s.
The equality of vertically opposite angles is called the vertical angle theorem. Eudemus of Rhodes attributed the proof to Thales of Miletus. The proposition showed that since both of a pair of vertical angles are supplementary to both of the adjacent angles, the vertical angles are equal in measure. According to a historical note, when Thales visited Egypt, he observed that whenever the Egyptians drew two intersecting lines, they would measure the vertical angles to make sure that they were equal. Thales concluded that one could prove that all vertical angles are equal if one accepted some general notions such as:
All straight angles are equal.
Equals added to equals are equal.
Equals subtracted from equals are equal. | [
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1196_3 | When two adjacent angles form a straight line, they are supplementary. Therefore, if we assume that the measure of angle A equals x, then the measure of angle C would be . Similarly, the measure of angle D would be . Both angle C and angle D have measures equal to and are congruent. Since angle B is supplementary to both angles C and D, either of these angle measures may be used to determine the measure of Angle B. Using the measure of either angle C or angle D, we find the measure of angle B to be . Therefore, both angle A and angle B have measures equal to x and are equal in measure.
Adjacent angles, often abbreviated as adj. ∠s, are angles that share a common vertex and edge but do not share any interior points. In other words, they are angles that are side by side, or adjacent, sharing an "arm". Adjacent angles which sum to a right angle, straight angle, or full angle are special and are respectively called complementary, supplementary and explementary angles (see below).
A transversal is a line that intersects a pair of (often parallel) lines, and is associated with alternate interior angles, corresponding angles, interior angles, and exterior angles.
Combining angle pairs
Three special angle pairs involve the summation of angles:
Complementary angles are angle pairs whose measures sum to one right angle ( turn, 90°, or radians). If the two complementary angles are adjacent, their non-shared sides form a right angle. In Euclidean geometry, the two acute angles in a right triangle are complementary, because the sum of internal angles of a triangle is 180 degrees, and the right angle itself accounts for 90 degrees.
The adjective complementary is from Latin complementum, associated with the verb complere, "to fill up". An acute angle is "filled up" by its complement to form a right angle.
The difference between an angle and a right angle is termed the complement of the angle.
If angles A and B are complementary, the following relationships hold:
(The tangent of an angle equals the cotangent of its complement and its secant equals the cosecant of its complement.)
The prefix "co-" in the names of some trigonometric ratios refers to the word "complementary". | [
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1196_4 | Two angles that sum to a straight angle ( turn, 180°, or radians) are called supplementary angles.
If the two supplementary angles are adjacent (i.e. have a common vertex and share just one side), their non-shared sides form a straight line. Such angles are called a linear pair of angles. However, supplementary angles do not have to be on the same line, and can be separated in space. For example, adjacent angles of a parallelogram are supplementary, and opposite angles of a cyclic quadrilateral (one whose vertices all fall on a single circle) are supplementary.
If a point P is exterior to a circle with center O, and if the tangent lines from P touch the circle at points T and Q, then ∠TPQ and ∠TOQ are supplementary.
The sines of supplementary angles are equal. Their cosines and tangents (unless undefined) are equal in magnitude but have opposite signs.
In Euclidean geometry, any sum of two angles in a triangle is supplementary to the third, because the sum of internal angles of a triangle is a straight angle.
Two angles that sum to a complete angle (1 turn, 360°, or 2 radians) are called explementary angles or conjugate angles.
The difference between an angle and a complete angle is termed the explement of the angle or conjugate of an angle.
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1196_5 | An angle that is part of a simple polygon is called an interior angle if it lies on the inside of that simple polygon. A simple concave polygon has at least one interior angle that is a reflex angle.
In Euclidean geometry, the measures of the interior angles of a triangle add up to radians, 180°, or turn; the measures of the interior angles of a simple convex quadrilateral add up to 2 radians, 360°, or 1 turn. In general, the measures of the interior angles of a simple convex polygon with n sides add up to (n − 2) radians, or (n − 2)180 degrees, (n − 2)2 right angles, or (n − 2) turn.
The supplement of an interior angle is called an exterior angle, that is, an interior angle and an exterior angle form a linear pair of angles. There are two exterior angles at each vertex of the polygon, each determined by extending one of the two sides of the polygon that meet at the vertex; these two angles are vertical and hence are equal. An exterior angle measures the amount of rotation one has to make at a vertex to trace out the polygon. If the corresponding interior angle is a reflex angle, the exterior angle should be considered negative. Even in a non-simple polygon it may be possible to define the exterior angle, but one will have to pick an orientation of the plane (or surface) to decide the sign of the exterior angle measure.
In Euclidean geometry, the sum of the exterior angles of a simple convex polygon, if only one of the two exterior angles is assumed at each vertex, will be one full turn (360°). The exterior angle here could be called a supplementary exterior angle. Exterior angles are commonly used in Logo Turtle programs when drawing regular polygons.
In a triangle, the bisectors of two exterior angles and the bisector of the other interior angle are concurrent (meet at a single point).
In a triangle, three intersection points, each of an external angle bisector with the opposite extended side, are collinear.
In a triangle, three intersection points, two of them between an interior angle bisector and the opposite side, and the third between the other exterior angle bisector and the opposite side extended, are collinear. | [
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] |
1196_7 | Plane-related angles
The angle between two planes (such as two adjacent faces of a polyhedron) is called a dihedral angle. It may be defined as the acute angle between two lines normal to the planes.
The angle between a plane and an intersecting straight line is equal to ninety degrees minus the angle between the intersecting line and the line that goes through the point of intersection and is normal to the plane.
Measuring angles
The size of a geometric angle is usually characterized by the magnitude of the smallest rotation that maps one of the rays into the other. Angles that have the same size are said to be equal or congruent or equal in measure.
In some contexts, such as identifying a point on a circle or describing the orientation of an object in two dimensions relative to a reference orientation, angles that differ by an exact multiple of a full turn are effectively equivalent. In other contexts, such as identifying a point on a spiral curve or describing the cumulative rotation of an object in two dimensions relative to a reference orientation, angles that differ by a non-zero multiple of a full turn are not equivalent.
In order to measure an angle θ, a circular arc centered at the vertex of the angle is drawn, e.g. with a pair of compasses. The ratio of the length s of the arc by the radius r of the circle is the number of radians in the angle. Conventionally, in mathematics and in the SI, the radian is treated as being equal to the dimensionless value 1.
The angle expressed another angular unit may then be obtained by multiplying the angle by a suitable conversion constant of the form , where k is the measure of a complete turn expressed in the chosen unit (for example, for degrees or 400 grad for gradians):
The value of thus defined is independent of the size of the circle: if the length of the radius is changed then the arc length changes in the same proportion, so the ratio s/r is unaltered.
In particular, the measure of angle is radian can be also interpreted as the arc length of its corresponding unit circle:
Angle addition postulate
The angle addition postulate states that if B is in the interior of angle AOC, then
The measure of the angle AOC is the sum of the measure of angle AOB and the measure of angle BOC. | [
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] |
1196_8 | Units
Throughout history, angles have been measured in various units. These are known as angular units, with the most contemporary units being the degree ( ° ), the radian (rad), and the gradian (grad), though many others have been used throughout history.
In the International System of Quantities, angle is defined as a dimensionless quantity. This impacts how angle is treated in dimensional analysis.
Most units of angular measurement are defined such that one turn (i.e. one full circle) is equal to n units, for some whole number n. Two exceptions are the radian (and its decimal submultiples) and the diameter part.
One radian is the angle subtended by an arc of a circle that has the same length as the circle's radius. The radian is the derived unit of angular measurement in the SI system. By definition, it is dimensionless, though it may be specified as rad to avoid ambiguity. Angles measured in degrees, are shown with the symbol °. Subdivisions of the degree are minute (symbol ′, 1′ = 1/60°) and second (symbol ″, 1″ = 1/3600°). An angle of 360° corresponds to the angle subtended by a full circle, and is equal to radians, or 400 gradians.
Other units used to represent angles are listed in the following table. These units are defined such that the number of turns is equivalent to a full circle. | [
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1196_9 | Other descriptors
Hour angle (n = 24): The astronomical hour angle is turn. As this system is amenable to measuring objects that cycle once per day (such as the relative position of stars), the sexagesimal subunits are called minute of time and second of time. These are distinct from, and 15 times larger than, minutes and seconds of arc. 1 hour = 15° = rad = quad = turn = grad.
(Compass) point or wind (n = 32): The point, used in navigation, is of a turn. 1 point = of a right angle = 11.25° = 12.5 grad. Each point is subdivided in four quarter-points so that 1 turn equals 128 quarter-points.
Pechus (n = 144–180): The pechus was a Babylonian unit equal to about 2° or °.
Tau, the number of radians in one turn (1 turn = rad), .
Diameter part (n = 376.99...): The diameter part (occasionally used in Islamic mathematics) is radian. One "diameter part" is approximately 0.95493°. There are about 376.991 diameter parts per turn. | [
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1196_10 | Milliradian and derived definitions: The true milliradian is defined a thousandth of a radian, which means that a rotation of one turn would equal exactly 2000π mil (or approximately 6283.185 mil), and almost all scope sights for firearms are calibrated to this definition. In addition there are three other derived definitions used for artillery and navigation which are approximately equal to a milliradian. Under these three other definitions one turn makes up for exactly 6000, 6300 or 6400 mils, which equals spanning the range from 0.05625 to 0.06 degrees (3.375 to 3.6 minutes). In comparison, the true milliradian is approximately 0.05729578 degrees (3.43775 minutes). One "NATO mil" is defined as of a circle. Just like with the true milliradian, each of the other definitions exploits the mil's useful property of subtensions, i.e. that the value of one milliradian approximately equals the angle subtended by a width of 1 meter as seen from 1 km away ( = 0.0009817... ≈ ).
Akhnam and zam. In old Arabia a turn was subdivided in 32 Akhnam and each akhnam was subdivided in 7 zam, so that a turn is 224 zam. | [
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1196_11 | Signed angles
Although the definition of the measurement of an angle does not support the concept of a negative angle, it is frequently useful to impose a convention that allows positive and negative angular values to represent orientations and/or rotations in opposite directions relative to some reference.
In a two-dimensional Cartesian coordinate system, an angle is typically defined by its two sides, with its vertex at the origin. The initial side is on the positive x-axis, while the other side or terminal side is defined by the measure from the initial side in radians, degrees, or turns. With positive angles representing rotations toward the positive y-axis and negative angles representing rotations toward the negative y-axis. When Cartesian coordinates are represented by standard position, defined by the x-axis rightward and the y-axis upward, positive rotations are anticlockwise and negative rotations are clockwise.
In many contexts, an angle of −θ is effectively equivalent to an angle of "one full turn minus θ". For example, an orientation represented as −45° is effectively equivalent to an orientation represented as 360° − 45° or 315°. Although the final position is the same, a physical rotation (movement) of −45° is not the same as a rotation of 315° (for example, the rotation of a person holding a broom resting on a dusty floor would leave visually different traces of swept regions on the floor).
In three-dimensional geometry, "clockwise" and "anticlockwise" have no absolute meaning, so the direction of positive and negative angles must be defined relative to some reference, which is typically a vector passing through the angle's vertex and perpendicular to the plane in which the rays of the angle lie.
In navigation, bearings or azimuth are measured relative to north. By convention, viewed from above, bearing angles are positive clockwise, so a bearing of 45° corresponds to a north-east orientation. Negative bearings are not used in navigation, so a north-west orientation corresponds to a bearing of 315°. | [
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1196_12 | Alternative ways of measuring the size of an angle
There are several alternatives to measuring the size of an angle by the angle of rotation.
The slope or gradient is equal to the tangent of the angle, or sometimes (rarely) the sine; a gradient is often expressed as a percentage. For very small values (less than 5%), the grade of a slope is approximately the measure of the angle in radians.
In rational geometry the spread between two lines is defined as the square of the sine of the angle between the lines. As the sine of an angle and the sine of its supplementary angle are the same, any angle of rotation that maps one of the lines into the other leads to the same value for the spread between the lines.
Astronomical approximations
Astronomers measure angular separation of objects in degrees from their point of observation.
0.5° is approximately the width of the sun or moon.
1° is approximately the width of a little finger at arm's length.
10° is approximately the width of a closed fist at arm's length.
20° is approximately the width of a handspan at arm's length.
These measurements clearly depend on the individual subject, and the above should be treated as rough rule of thumb approximations only.
In astronomy, right ascension and declination are usually measured in angular units, expressed in terms of time, based on a 24-hour day.
Measurements that are not angular units
Not all angle measurements are angular units, for an angular measurement, it is definitional that the angle addition postulate holds.
Some angle measurements where the angle addition postulate does not hold include:
Trigonometric functions
Slope
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] |
1196_13 | Trigonometric functions
Slope
Angles between curves
The angle between a line and a curve (mixed angle) or between two intersecting curves (curvilinear angle) is defined to be the angle between the tangents at the point of intersection. Various names (now rarely, if ever, used) have been given to particular cases:—amphicyrtic (Gr. , on both sides, κυρτός, convex) or cissoidal (Gr. κισσός, ivy), biconvex; xystroidal or sistroidal (Gr. ξυστρίς, a tool for scraping), concavo-convex; amphicoelic (Gr. κοίλη, a hollow) or angulus lunularis, biconcave.
Bisecting and trisecting angles
The ancient Greek mathematicians knew how to bisect an angle (divide it into two angles of equal measure) using only a compass and straightedge, but could only trisect certain angles. In 1837, Pierre Wantzel showed that for most angles this construction cannot be performed.
Dot product and generalisations
In the Euclidean space, the angle θ between two Euclidean vectors u and v is related to their dot product and their lengths by the formula
This formula supplies an easy method to find the angle between two planes (or curved surfaces) from their normal vectors and between skew lines from their vector equations.
Inner product
To define angles in an abstract real inner product space, we replace the Euclidean dot product ( · ) by the inner product , i.e.
In a complex inner product space, the expression for the cosine above may give non-real values, so it is replaced with
or, more commonly, using the absolute value, with
The latter definition ignores the direction of the vectors and thus describes the angle between one-dimensional subspaces and spanned by the vectors and correspondingly.
Angles between subspaces
The definition of the angle between one-dimensional subspaces and given by
in a Hilbert space can be extended to subspaces of any finite dimensions. Given two subspaces , with , this leads to a definition of angles called canonical or principal angles between subspaces. | [
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] |
1196_14 | Angles in Riemannian geometry
In Riemannian geometry, the metric tensor is used to define the angle between two tangents. Where U and V are tangent vectors and gij are the components of the metric tensor G,
Hyperbolic angle
A hyperbolic angle is an argument of a hyperbolic function just as the circular angle is the argument of a circular function. The comparison can be visualized as the size of the openings of a hyperbolic sector and a circular sector since the areas of these sectors correspond to the angle magnitudes in each case. Unlike the circular angle, the hyperbolic angle is unbounded. When the circular and hyperbolic functions are viewed as infinite series in their angle argument, the circular ones are just alternating series forms of the hyperbolic functions. This weaving of the two types of angle and function was explained by Leonhard Euler in Introduction to the Analysis of the Infinite.
Angles in geography and astronomy
In geography, the location of any point on the Earth can be identified using a geographic coordinate system. This system specifies the latitude and longitude of any location in terms of angles subtended at the center of the Earth, using the equator and (usually) the Greenwich meridian as references.
In astronomy, a given point on the celestial sphere (that is, the apparent position of an astronomical object) can be identified using any of several astronomical coordinate systems, where the references vary according to the particular system. Astronomers measure the angular separation of two stars by imagining two lines through the center of the Earth, each intersecting one of the stars. The angle between those lines can be measured and is the angular separation between the two stars.
In both geography and astronomy, a sighting direction can be specified in terms of a vertical angle such as altitude /elevation with respect to the horizon as well as the azimuth with respect to north.
Astronomers also measure the apparent size of objects as an angular diameter. For example, the full moon has an angular diameter of approximately 0.5°, when viewed from Earth. One could say, "The Moon's diameter subtends an angle of half a degree." The small-angle formula can be used to convert such an angular measurement into a distance/size ratio.
See also | [
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] |
1196_15 | See also
Angle measuring instrument
Angular statistics (mean, standard deviation)
Angle bisector
Angular acceleration
Angular diameter
Angular velocity
Argument (complex analysis)
Astrological aspect
Central angle
Clock angle problem
Decimal degrees
Dihedral angle
Exterior angle theorem
Golden angle
Great circle distance
Inscribed angle
Irrational angle
Phase (waves)
Protractor
Solid angle
Spherical angle
Transcendent angle
Trisection
Zenith angle
Notes
References
Bibliography
.
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1197_0 | Asa may refer to:
People
Aṣa, stage name of Nigerian French singer-songwriter Bùkólá Elemide (born 1982)
Asa (name), a masculine given name, including a list of persons and fictional characters with the name
Asa (rapper), Finnish rapper Matti Salo (born 1980)
Asa of Judah, third king of the Kingdom of Judah
Asa people, an ethnic group of Tanzania
Places
Asa, Iran, in South Khorasan Province
Asa, Kwara State, a Local Government Area in Kwara State, Nigeria
Asa, Hardoi, a village in Uttar Pradesh, India
Asa River (disambiguation), various rivers
Other
Asa (album), 2013 Falkenbach album
Asa (raga), Indian format of musical rules
Åsa IF, a Swedish football club located in Åsa
Asa language, of the Asa people
Asa Station, Japanese railway station in San'yō-Onoda, Yamaguchi
Ása, genitive of Æsir, the predominant group among the Norse gods
Asa, or naboot, a staff used in Egyptian stick fencing
Aša or Asha, the Avestan language term for a concept of cardinal importance to Zoroastrian theology and doctrine
Asa, god of the Kamba people ethnic group in Kenya
asa, a Unix filter program that processes ASA carriage control characters
See also
Aasa (disambiguation)
ASA (disambiguation)
Åsa (disambiguation)
Ása or Æsir, Norse gods
Asia (disambiguation)
Aza (disambiguation) | [
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1198_0 | Acoustics is a branch of physics that deals with the study of mechanical waves in gases, liquids, and solids including topics such as vibration, sound, ultrasound and infrasound. A scientist who works in the field of acoustics is an acoustician while someone working in the field of acoustics technology may be called an acoustical engineer. The application of acoustics is present in almost all aspects of modern society with the most obvious being the audio and noise control industries.
Hearing is one of the most crucial means of survival in the animal world and speech is one of the most distinctive characteristics of human development and culture. Accordingly, the science of acoustics spreads across many facets of human society—music, medicine, architecture, industrial production, warfare and more. Likewise, animal species such as songbirds and frogs use sound and hearing as a key element of mating rituals or marking territories. Art, craft, science and technology have provoked one another to advance the whole, as in many other fields of knowledge. Robert Bruce Lindsay's "Wheel of Acoustics" is a well accepted overview of the various fields in acoustics.
History
Etymology
The word "acoustic" is derived from the Greek word ἀκουστικός (akoustikos), meaning "of or for hearing, ready to hear" and that from ἀκουστός (akoustos), "heard, audible", which in turn derives from the verb ἀκούω(akouo), "I hear".
The Latin synonym is "sonic", after which the term sonics used to be a synonym for acoustics and later a branch of acoustics. Frequencies above and below the audible range are called "ultrasonic" and "infrasonic", respectively.
Early research in acoustics | [
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1198_1 | Early research in acoustics
In the 6th century BC, the ancient Greek philosopher Pythagoras wanted to know why some combinations of musical sounds seemed more beautiful than others, and he found answers in terms of numerical ratios representing the harmonic overtone series on a string. He is reputed to have observed that when the lengths of vibrating strings are expressible as ratios of integers (e.g. 2 to 3, 3 to 4), the tones produced will be harmonious, and the smaller the integers the more harmonious the sounds. For example, a string of a certain length would sound particularly harmonious with a string of twice the length (other factors being equal). In modern parlance, if a string sounds the note C when plucked, a string twice as long will sound a C an octave lower. In one system of musical tuning, the tones in between are then given by 16:9 for D, 8:5 for E, 3:2 for F, 4:3 for G, 6:5 for A, and 16:15 for B, in ascending order.
Aristotle (384–322 BC) understood that sound consisted of compressions and rarefactions of air which "falls upon and strikes the air which is next to it...", a very good expression of the nature of wave motion. On Things Heard, generally ascribed to Strato of Lampsacus, states that the pitch is related to the frequency of vibrations of the air and to the speed of sound.
In about 20 BC, the Roman architect and engineer Vitruvius wrote a treatise on the acoustic properties of theaters including discussion of interference, echoes, and reverberation—the beginnings of architectural acoustics. In Book V of his De architectura (The Ten Books of Architecture) Vitruvius describes sound as a wave comparable to a water wave extended to three dimensions, which, when interrupted by obstructions, would flow back and break up following waves. He described the ascending seats in ancient theaters as designed to prevent this deterioration of sound and also recommended bronze vessels of appropriate sizes be placed in theaters to resonate with the fourth, fifth and so on, up to the double octave, in order to resonate with the more desirable, harmonious notes. | [
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1198_2 | During the Islamic golden age, Abū Rayhān al-Bīrūnī (973-1048) is believed to postulated that the speed of sound was much slower than the speed of light.
The physical understanding of acoustical processes advanced rapidly during and after the Scientific Revolution. Mainly Galileo Galilei (1564–1642) but also Marin Mersenne (1588–1648), independently, discovered the complete laws of vibrating strings (completing what Pythagoras and Pythagoreans had started 2000 years earlier). Galileo wrote "Waves are produced by the vibrations of a sonorous body, which spread through the air, bringing to the tympanum of the ear a stimulus which the mind interprets as sound", a remarkable statement that points to the beginnings of physiological and psychological acoustics. Experimental measurements of the speed of sound in air were carried out successfully between 1630 and 1680 by a number of investigators, prominently Mersenne. Meanwhile, Newton (1642–1727) derived the relationship for wave velocity in solids, a cornerstone of physical acoustics (Principia, 1687).
Age of Enlightenment and onward
Substantial progress in acoustics, resting on firmer mathematical and physical concepts, was made during the eighteenth century by Euler (1707–1783), Lagrange (1736–1813), and d'Alembert (1717–1783). During this era, continuum physics, or field theory, began to receive a definite mathematical structure. The wave equation emerged in a number of contexts, including the propagation of sound in air.
In the nineteenth century the major figures of mathematical acoustics were Helmholtz in Germany, who consolidated the field of physiological acoustics, and Lord Rayleigh in England, who combined the previous knowledge with his own copious contributions to the field in his monumental work The Theory of Sound (1877). Also in the 19th century, Wheatstone, Ohm, and Henry developed the analogy between electricity and acoustics. | [
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1198_3 | The twentieth century saw a burgeoning of technological applications of the large body of scientific knowledge that was by then in place. The first such application was Sabine's groundbreaking work in architectural acoustics, and many others followed. Underwater acoustics was used for detecting submarines in the first World War. Sound recording and the telephone played important roles in a global transformation of society. Sound measurement and analysis reached new levels of accuracy and sophistication through the use of electronics and computing. The ultrasonic frequency range enabled wholly new kinds of application in medicine and industry. New kinds of transducers (generators and receivers of acoustic energy) were invented and put to use.
Fundamental concepts of acoustics
Definition
Acoustics is defined by ANSI/ASA S1.1-2013 as "(a) Science of sound, including its production, transmission, and effects, including biological and psychological effects. (b) Those qualities of a room that, together, determine its character with respect to auditory effects."
The study of acoustics revolves around the generation, propagation and reception of mechanical waves and vibrations.
The steps shown in the above diagram can be found in any acoustical event or process. There are many kinds of cause, both natural and volitional. There are many kinds of transduction process that convert energy from some other form into sonic energy, producing a sound wave. There is one fundamental equation that describes sound wave propagation, the acoustic wave equation, but the phenomena that emerge from it are varied and often complex. The wave carries energy throughout the propagating medium. Eventually this energy is transduced again into other forms, in ways that again may be natural and/or volitionally contrived. The final effect may be purely physical or it may reach far into the biological or volitional domains. The five basic steps are found equally well whether we are talking about an earthquake, a submarine using sonar to locate its foe, or a band playing in a rock concert.
The central stage in the acoustical process is wave propagation. This falls within the domain of physical acoustics. In fluids, sound propagates primarily as a pressure wave. In solids, mechanical waves can take many forms including longitudinal waves, transverse waves and surface waves. | [
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1198_4 | Acoustics looks first at the pressure levels and frequencies in the sound wave and how the wave interacts with the environment. This interaction can be described as either a diffraction, interference or a reflection or a mix of the three. If several media are present, a refraction can also occur. Transduction processes are also of special importance to acoustics.
Wave propagation: pressure levels
In fluids such as air and water, sound waves propagate as disturbances in the ambient pressure level. While this disturbance is usually small, it is still noticeable to the human ear. The smallest sound that a person can hear, known as the threshold of hearing, is nine orders of magnitude smaller than the ambient pressure. The loudness of these disturbances is related to the sound pressure level (SPL) which is measured on a logarithmic scale in decibels.
Wave propagation: frequency
Physicists and acoustic engineers tend to discuss sound pressure levels in terms of frequencies, partly because this is how our ears interpret sound. What we experience as "higher pitched" or "lower pitched" sounds are pressure vibrations having a higher or lower number of cycles per second. In a common technique of acoustic measurement, acoustic signals are sampled in time, and then presented in more meaningful forms such as octave bands or time frequency plots. Both of these popular methods are used to analyze sound and better understand the acoustic phenomenon.
The entire spectrum can be divided into three sections: audio, ultrasonic, and infrasonic. The audio range falls between 20 Hz and 20,000 Hz. This range is important because its frequencies can be detected by the human ear. This range has a number of applications, including speech communication and music. The ultrasonic range refers to the very high frequencies: 20,000 Hz and higher. This range has shorter wavelengths which allow better resolution in imaging technologies. Medical applications such as ultrasonography and elastography rely on the ultrasonic frequency range. On the other end of the spectrum, the lowest frequencies are known as the infrasonic range. These frequencies can be used to study geological phenomena such as earthquakes.
Analytic instruments such as the spectrum analyzer facilitate visualization and measurement of acoustic signals and their properties. The spectrogram produced by such an instrument is a graphical display of the time varying pressure level and frequency profiles which give a specific acoustic signal its defining character.
Transduction in acoustics | [
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1198_5 | Transduction in acoustics
A transducer is a device for converting one form of energy into another. In an electroacoustic context, this means converting sound energy into electrical energy (or vice versa). Electroacoustic transducers include loudspeakers, microphones, particle velocity sensors, hydrophones and sonar projectors. These devices convert a sound wave to or from an electric signal. The most widely used transduction principles are electromagnetism, electrostatics and piezoelectricity.
The transducers in most common loudspeakers (e.g. woofers and tweeters), are electromagnetic devices that generate waves using a suspended diaphragm driven by an electromagnetic voice coil, sending off pressure waves. Electret microphones and condenser microphones employ electrostatics—as the sound wave strikes the microphone's diaphragm, it moves and induces a voltage change. The ultrasonic systems used in medical ultrasonography employ piezoelectric transducers. These are made from special ceramics in which mechanical vibrations and electrical fields are interlinked through a property of the material itself.
Acoustician
An acoustician is an expert in the science of sound.
Education
There are many types of acoustician, but they usually have a Bachelor's degree or higher qualification. Some possess a degree in acoustics, while others enter the discipline via studies in fields such as physics or engineering. Much work in acoustics requires a good grounding in Mathematics and science. Many acoustic scientists work in research and development. Some conduct basic research to advance our knowledge of the perception (e.g. hearing, psychoacoustics or neurophysiology) of speech, music and noise. Other acoustic scientists advance understanding of how sound is affected as it moves through environments, e.g. underwater acoustics, architectural acoustics or structural acoustics. Other areas of work are listed under subdisciplines below. Acoustic scientists work in government, university and private industry laboratories. Many go on to work in Acoustical Engineering. Some positions, such as Faculty (academic staff) require a Doctor of Philosophy.
Subdisciplines
Archaeoacoustics | [
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] |
1198_6 | Subdisciplines
Archaeoacoustics
Archaeoacoustics, also known as the archaeology of sound, is one of the only ways to experience the past with senses other than our eyes. Archaeoacoustics is studied by testing the acoustic properties of prehistoric sites, including caves. Iegor Rezkinoff, a sound archaeologist, studies the acoustic properties of caves through natural sounds like humming and whistling. Archaeological theories of acoustics are focused around ritualistic purposes as well as a way of echolocation in the caves. In archaeology, acoustic sounds and rituals directly correlate as specific sounds were meant to bring ritual participants closer to a spiritual awakening. Parallels can also be drawn between cave wall paintings and the acoustic properties of the cave; they are both dynamic. Because archaeoacoustics is a fairly new archaeological subject, acoustic sound is still being tested in these prehistoric sites today.
Aeroacoustics
Aeroacoustics is the study of noise generated by air movement, for instance via turbulence, and the movement of sound through the fluid air. This knowledge is applied in acoustical engineering to study how to quieten aircraft. Aeroacoustics is important for understanding how wind musical instruments work.
Acoustic signal processing
Acoustic signal processing is the electronic manipulation of acoustic signals. Applications include: active noise control; design for hearing aids or cochlear implants; echo cancellation; music information retrieval, and perceptual coding (e.g. MP3 or Opus).
Architectural acoustics
Architectural acoustics (also known as building acoustics) involves the scientific understanding of how to achieve good sound within a building. It typically involves the study of speech intelligibility, speech privacy, music quality, and vibration reduction in the built environment. Commonly studied environments are hospitals, classrooms, dwellings, performance venues, recording and broadcasting studios. Focus considerations include room acoustics, airborne and impact transmission in building structures, airborne and structure-borne noise control, noise control of building systems and electroacoustic systems .
Bioacoustics
Bioacoustics is the scientific study of the hearing and calls of animal calls, as well as how animals are affected by the acoustic and sounds of their habitat.
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1198_7 | Electroacoustics
This subdiscipline is concerned with the recording, manipulation and reproduction of audio using electronics. This might include products such as mobile phones, large scale public address systems or virtual reality systems in research laboratories.
Environmental noise and soundscapes
Environmental acoustics is concerned with noise and vibration caused by railways, road traffic, aircraft, industrial equipment and recreational activities. The main aim of these studies is to reduce levels of environmental noise and vibration. Research work now also has a focus on the positive use of sound in urban environments: soundscapes and tranquility.
Musical acoustics
Musical acoustics is the study of the physics of acoustic instruments; the audio signal processing used in electronic music; the computer analysis of music and composition, and the perception and cognitive neuroscience of music.
Noise
The goal this acoustics sub-discipline is to reduce the impact of unwanted sound. Scope of noise studies includes the generation, propagation, and impact on structures, objects, and people.
Innovative model development
Measurement techniques
Mitigation strategies
Inupt to the establishment of standards and regulations
Noise research investigates the impact of noise on humans and animals to include work in definitions, abatement, transportation noise, hearing protection, Jet and rocket noise, building system noise and vibration, atmospheric sound propagation, soundscapes, and low-frequency sound. | [
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] |
1198_8 | Psychoacoustics
Many studies have been conducted to identify the relationship between acoustics and cognition, or more commonly known as psychoacoustics, in which what one hears is a combination of perception and biological aspects. The information intercepted by the passage of sound waves through the ear is understood and interpreted through the brain, emphasizing the connection between the mind and acoustics. Psychological changes have been seen as brain waves slow down or speed up as a result of varying auditory stimulus which can in turn affect the way one thinks, feels, or even behaves. This correlation can be viewed in normal, everyday situations in which listening to an upbeat or uptempo song can cause one's foot to start tapping or a slower song can leave one feeling calm and serene. In a deeper biological look at the phenomenon of psychoacoustics, it was discovered that the central nervous system is activated by basic acoustical characteristics of music. By observing how the central nervous system, which includes the brain and spine, is influenced by acoustics, the pathway in which acoustic affects the mind, and essentially the body, is evident.
Speech
Acousticians study the production, processing and perception of speech. Speech recognition and Speech synthesis are two important areas of speech processing using computers. The subject also overlaps with the disciplines of physics, physiology, psychology, and linguistics.
Structural Vibration and Dynamics
Structural acoustics is the study of motions and interactions of mechanical systems with their environments and the methods of their measurement, analysis, and control . There are several sub-disciplines found within this regime:
Modal Analysis
Material characterization
Structural health monitoring
Acoustic Metamaterials
Friction Acoustics
Applications might include: ground vibrations from railways; vibration isolation to reduce vibration in operating theatres; studying how vibration can damage health (vibration white finger); vibration control to protect a building from earthquakes, or measuring how structure-borne sound moves through buildings.
Ultrasonics
Ultrasonics deals with sounds at frequencies too high to be heard by humans. Specialisms include medical ultrasonics (including medical ultrasonography), sonochemistry, ultrasonic testing, material characterisation and underwater acoustics (sonar).
Underwater acoustics | [
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] |
1198_9 | Underwater acoustics
Underwater acoustics is the scientific study of natural and man-made sounds underwater. Applications include sonar to locate submarines, underwater communication by whales, climate change monitoring by measuring sea temperatures acoustically, sonic weapons, and marine bioacoustics.
Professional societies
The Acoustical Society of America (ASA)
Australian Acoustical Society (AAS)
The European Acoustics Association (EAA)
Institute of Electrical and Electronics Engineers (IEEE)
Institute of Acoustics (IoA UK)
The Audio Engineering Society (AES)
American Society of Mechanical Engineers, Noise Control and Acoustics Division (ASME-NCAD)
International Commission for Acoustics (ICA)
American Institute of Aeronautics and Astronautics, Aeroacoustics (AIAA)
International Computer Music Association (ICMA)
Academic journals
Acta Acustica united with Acustica
Applied Acoustics
Journal of the Acoustical Society of America (JASA)
Journal of the Acoustical Society of America, Express Letters (JASA-EL)
Journal of the Audio Engineering Society
Journal of Sound and Vibration (JSV)
Journal of Vibration and Acoustics American Society of Mechanical Engineers
Ultrasonics (journal)
See also
Outline of acoustics
Acoustic attenuation
Acoustic emission
Acoustic engineering
Acoustic impedance
Acoustic levitation
Acoustic location
Acoustic phonetics
Acoustic streaming
Acoustic tags
Acoustic thermometry
Acoustic wave
Audiology
Auditory illusion
Diffraction
Doppler effect
Fisheries acoustics
Friction acoustics
Helioseismology
Lamb wave
Linear elasticity
The Little Red Book of Acoustics (in the UK)
Longitudinal wave
Musicology
Music therapy
Noise pollution
One-Way Wave Equation
Phonon
Picosecond ultrasonics
Rayleigh wave
Shock wave
Seismology
Sonification
Sonochemistry
Soundproofing
Soundscape
Sonic boom
Sonoluminescence
Surface acoustic wave
Thermoacoustics
Transverse wave
Wave equation
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1198_10 | References
Further reading
(Volume 4 is available from the Internet Archive )
Mason W.P., Thurston R.N. Physical Acoustics (1981)
Philip M. Morse and K. Uno Ingard, 1986. Theoretical Acoustics (Princeton University Press).
Allan D. Pierce, 1989. Acoustics: An Introduction to its Physical Principles and Applications (Acoustical Society of America).
D. R. Raichel, 2006. The Science and Applications of Acoustics, second edition (Springer).
E. Skudrzyk, 1971. The Foundations of Acoustics: Basic Mathematics and Basic Acoustics (Springer).
External links
International Commission for Acoustics
European Acoustics Association
Acoustical Society of America
Institute of Noise Control Engineers
National Council of Acoustical Consultants
Institute of Acoustic in UK
Australian Acoustical Society (AAS)
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1200_0 | Atomic physics is the field of physics that studies atoms as an isolated system of electrons and an atomic nucleus. Atomic physics typically refers to the study of atomic structure and the interaction between atoms. It is primarily concerned with the way in which electrons are arranged around the nucleus and
the processes by which these arrangements change. This comprises ions, neutral atoms and, unless otherwise stated, it can be assumed that the term atom includes ions.
The term atomic physics can be associated with nuclear power and nuclear weapons, due to the synonymous use of atomic and nuclear in standard English. Physicists distinguish between atomic physics—which deals with the atom as a system consisting of a nucleus and electrons—and nuclear physics, which studies nuclear reactions and special properties of atomic nuclei.
As with many scientific fields, strict delineation can be highly contrived and atomic physics is often considered in the wider context of atomic, molecular, and optical physics. Physics research groups are usually so classified.
Isolated atoms
Atomic physics primarily considers atoms in isolation. Atomic models will consist of a single nucleus that may be surrounded by one or more bound electrons. It is not concerned with the formation of molecules (although much of the physics is identical), nor does it examine atoms in a solid state as condensed matter. It is concerned with processes such as ionization and excitation by photons or collisions with atomic particles.
While modelling atoms in isolation may not seem realistic, if one considers atoms in a gas or plasma then the time-scales for atom-atom interactions are huge in comparison to the atomic processes that are generally considered. This means that the individual atoms can be treated as if each were in isolation, as the vast majority of the time they are. By this consideration atomic physics provides the underlying theory in plasma physics and atmospheric physics, even though both deal with very large numbers of atoms.
Electronic configuration
Electrons form notional shells around the nucleus. These are normally in a ground state but can be excited by the absorption of energy from light (photons), magnetic fields, or interaction with a colliding particle (typically ions or other electrons). | [
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1200_1 | Electrons that populate a shell are said to be in a bound state. The energy necessary to remove an electron from its shell (taking it to infinity) is called the binding energy. Any quantity of energy absorbed by the electron in excess of this amount is converted to kinetic energy according to the conservation of energy. The atom is said to have undergone the process of ionization.
If the electron absorbs a quantity of energy less than the binding energy, it will be transferred to an excited state. After a certain time, the electron in an excited state will "jump" (undergo a transition) to a lower state. In a neutral atom, the system will emit a photon of the difference in energy, since energy is conserved.
If an inner electron has absorbed more than the binding energy (so that the atom ionizes), then a more outer electron may undergo a transition to fill the inner orbital. In this case, a visible photon or a characteristic x-ray is emitted, or a phenomenon known as the Auger effect may take place, where the released energy is transferred to another bound electron, causing it to go into the continuum. The Auger effect allows one to multiply ionize an atom with a single photon.
There are rather strict selection rules as to the electronic configurations that can be reached by excitation by light — however there are no such rules for excitation by collision processes.
History and developments
One of the earliest steps towards atomic physics was the recognition that matter was composed
of atoms. It forms a part of the texts written in 6th century BC to 2nd century BC such as those of Democritus or Vaisheshika Sutra written by Kanad. This theory was later developed in the modern sense of the basic unit of a chemical element by the British chemist and physicist John Dalton in the 18th century. At this stage, it wasn't clear what atoms were although they could be described and classified by their properties (in bulk). The invention of the periodic system of elements by Mendeleev was another great step forward. | [
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1200_2 | The true beginning of atomic physics is marked by the discovery of spectral lines and attempts to describe the phenomenon, most notably by Joseph von Fraunhofer. The study of these lines led to the Bohr atom model and to the birth of quantum mechanics. In seeking to explain atomic spectra an entirely new mathematical model of matter was revealed. As far as atoms and their electron shells were concerned, not only did this yield a better overall description, i.e. the atomic orbital model, but it also provided a new theoretical basis for chemistry
(quantum chemistry) and spectroscopy.
Since the Second World War, both theoretical and experimental fields have advanced at a rapid pace. This can be attributed to progress in computing technology, which has allowed larger and more sophisticated models of atomic structure and associated collision processes. Similar technological advances in accelerators, detectors, magnetic field generation and lasers have greatly assisted experimental work.
Significant atomic physicists
See also
Particle physics
Isomeric shift
Atomic engineering
Bibliography
References
External links
MIT-Harvard Center for Ultracold Atoms
Joint Quantum Institute at University of Maryland and NIST
Atomic Physics on the Internet
JILA (Atomic Physics)
ORNL Physics Division
Atomic, molecular, and optical physics | [
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1201_0 | American Sign Language (ASL) is a natural language that serves as the predominant sign language of Deaf communities in the United States and most of Anglophone Canada. ASL is a complete and organized visual language that is expressed by facial expression as well as movements and motions with the hands. Besides North America, dialects of ASL and ASL-based creoles are used in many countries around the world, including much of West Africa and parts of Southeast Asia. ASL is also widely learned as a second language, serving as a lingua franca. ASL is most closely related to French Sign Language (LSF). It has been proposed that ASL is a creole language of LSF, although ASL shows features atypical of creole languages, such as agglutinative morphology.
ASL originated in the early 19th century in the American School for the Deaf (ASD) in West Hartford, Connecticut, from a situation of language contact. Since then, ASL use has propagated widely by schools for the deaf and Deaf community organizations. Despite its wide use, no accurate count of ASL users has been taken. Reliable estimates for American ASL users range from 250,000 to 500,000 persons, including a number of children of deaf adults.
ASL signs have a number of phonemic components, such as movement of the face, the torso, and the hands. ASL is not a form of pantomime although iconicity plays a larger role in ASL than in spoken languages. English loan words are often borrowed through fingerspelling, although ASL grammar is unrelated to that of English. ASL has verbal agreement and aspectual marking and has a productive system of forming agglutinative classifiers. Many linguists believe ASL to be a subject–verb–object (SVO) language. However, there are several alternative proposals to account for ASL word order.
Classification
ASL emerged as a language in the American School for the Deaf (ASD), founded by Thomas Gallaudet in 1817, which brought together Old French Sign Language, various village sign languages, and home sign systems; ASL was created in that situation by language contact. ASL was influenced by its forerunners but distinct from all of them. | [
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1201_1 | The influence of French Sign Language (LSF) on ASL is readily apparent; for example, it has been found that about 58% of signs in modern ASL are cognate to Old French Sign Language signs. However, that is far less than the standard 80% measure used to determine whether related languages are actually dialects. That suggests that nascent ASL was highly affected by the other signing systems brought by the ASD students although the school's original director, Laurent Clerc, taught in LSF. In fact, Clerc reported that he often learned the students' signs rather than conveying LSF:
It has been proposed that ASL is a creole in which LSF is the superstrate language and the native village sign languages are substrate languages. However, more recent research has shown that modern ASL does not share many of the structural features that characterize creole languages. ASL may have begun as a creole and then undergone structural change over time, but it is also possible that it was never a creole-type language. There are modality-specific reasons that sign languages tend towards agglutination, such as the ability to simultaneously convey information via the face, head, torso, and other body parts. That might override creole characteristics such as the tendency towards isolating morphology. Additionally, Clerc and Thomas Hopkins Gallaudet may have used an artificially constructed form of manually coded language in instruction rather than true LSF.
Although the United States, the United Kingdom, and Australia share English as a common oral and written language, ASL is not mutually intelligible with either British Sign Language (BSL) or Auslan. All three languages show degrees of borrowing from English, but that alone is not sufficient for cross-language comprehension. It has been found that a relatively high percentage (37–44%) of ASL signs have similar translations in Auslan, which for oral languages would suggest that they belong to the same language family. However, that does not seem justified historically for ASL and Auslan, and it is likely that the resemblance is caused by the higher degree of iconicity in sign languages in general as well as contact with English. | [
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1201_2 | American Sign Language is growing in popularity in many states. Many people in high school and colleges desire to take it as a foreign language, but until recently, it was not a creditable foreign language elective. The issue was that many did not consider it a foreign language. ASL users, however, have a very distinct culture, and they interact very differently when they talk. Their facial expressions and hand movements reflect what they are communicating. They also have their own sentence structure, which sets the language apart.
American Sign Language is now being accepted by many colleges as a foreign language credit; many states are making it mandatory to accept it.
History
Prior to the birth of ASL, sign language had been used by various communities in the United States. In the United States, as elsewhere in the world, hearing families with deaf children have historically employed ad hoc home sign, which often reaches much higher levels of sophistication than gestures used by hearing people in spoken conversation. As early as 1541 at first contact by Francisco Vásquez de Coronado, there were reports that the Indigenous peoples of the Great Plains widely spoke a sign language to communicate across vast national and linguistic lines.
In the 19th century, a "triangle" of village sign languages developed in New England: one in Martha's Vineyard, Massachusetts; one in Henniker, New Hampshire, and one in Sandy River Valley, Maine. Martha's Vineyard Sign Language (MVSL), which was particularly important for the history of ASL, was used mainly in Chilmark, Massachusetts. Due to intermarriage in the original community of English settlers of the 1690s, and the recessive nature of genetic deafness, Chilmark had a high 4% rate of genetic deafness. MVSL was used even by hearing residents whenever a deaf person was present, and also in some situations where spoken language would be ineffective or inappropriate, such as during church sermons or between boats at sea. | [
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1201_3 | ASL is thought to have originated in the American School for the Deaf (ASD), founded in Hartford, Connecticut, in 1817. Originally known as The American Asylum, At Hartford, For The Education And Instruction Of The Deaf And Dumb, the school was founded by the Yale graduate and divinity student Thomas Hopkins Gallaudet. Gallaudet, inspired by his success in demonstrating the learning abilities of a young deaf girl Alice Cogswell, traveled to Europe in order to learn deaf pedagogy from European institutions. Ultimately, Gallaudet chose to adopt the methods of the French Institut National de Jeunes Sourds de Paris, and convinced Laurent Clerc, an assistant to the school's founder Charles-Michel de l'Épée, to accompany him back to the United States. Upon his return, Gallaudet founded the ASD on April 15, 1817.
The largest group of students during the first seven decades of the school were from Martha's Vineyard, and they brought MVSL with them. There were also 44 students from around Henniker, New Hampshire, and 27 from the Sandy River valley in Maine, each of which had their own village sign language. Other students brought knowledge of their own home signs. Laurent Clerc, the first teacher at ASD, taught using French Sign Language (LSF), which itself had developed in the Parisian school for the deaf established in 1755. From that situation of language contact, a new language emerged, now known as ASL.
More schools for the deaf were founded after ASD, and knowledge of ASL spread to those schools. In addition, the rise of Deaf community organizations bolstered the continued use of ASL. Societies such as the National Association of the Deaf and the National Fraternal Society of the Deaf held national conventions that attracted signers from across the country. All of that contributed to ASL's wide use over a large geographical area, atypical of a sign language. | [
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1201_4 | Up to the 1950s, the predominant method in deaf education was oralism, acquiring oral language comprehension and production. Linguists did not consider sign language to be true "language" but as something inferior. Recognition of the legitimacy of ASL was achieved by William Stokoe, a linguist who arrived at Gallaudet University in 1955 when that was still the dominant assumption. Aided by the Civil Rights Movement of the 1960s, Stokoe argued for manualism, the use of sign language in deaf education. Stokoe noted that sign language shares the important features that oral languages have as a means of communication, and even devised a transcription system for ASL. In doing so, Stokoe revolutionized both deaf education and linguistics. In the 1960s, ASL was sometimes referred to as "Ameslan", but that term is now considered obsolete.
Population
Counting the number of ASL signers is difficult because ASL users have never been counted by the American census. The ultimate source for current estimates of the number of ASL users in the United States is a report for the National Census of the Deaf Population (NCDP) by Schein and Delk (1974). Based on a 1972 survey of the NCDP, Schein and Delk provided estimates consistent with a signing population between 250,000 and 500,000. The survey did not distinguish between ASL and other forms of signing; in fact, the name "ASL" was not yet in widespread use.
Incorrect figures are sometimes cited for the population of ASL users in the United States based on misunderstandings of known statistics. Demographics of the deaf population have been confused with those of ASL use since adults who become deaf late in life rarely use ASL in the home. That accounts for currently-cited estimations that are greater than 500,000; such mistaken estimations can reach as high as 15,000,000. A 100,000-person lower bound has been cited for ASL users; the source of that figure is unclear, but it may be an estimate of prelingual deafness, which is correlated with but not equivalent to signing. | [
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1201_5 | ASL is sometimes incorrectly cited as the third- or fourth-most-spoken language in the United States. Those figures misquote Schein and Delk (1974), who actually concluded that ASL speakers constituted the third-largest population "requiring an interpreter in court". Although that would make ASL the third-most used language among monolinguals other than English, it does not imply that it is the fourth-most-spoken language in the United States since speakers of other languages may also speak English.
Geographic distribution
ASL is used throughout Anglo-America. That contrasts with Europe, where a variety of sign languages are used within the same continent. The unique situation of ASL seems to have been caused by the proliferation of ASL through schools influenced by the American School for the Deaf, wherein ASL originated, and the rise of community organizations for the Deaf.
Throughout West Africa, ASL-based sign languages are signed by educated Deaf adults. Such languages, imported by boarding schools, are often considered by associations to be the official sign languages of their countries and are named accordingly, such as Nigerian Sign Language, Ghanaian Sign Language. Such signing systems are found in Benin, Burkina Faso, Ivory Coast, Ghana, Liberia, Mauritania, Mali, Nigeria, and Togo. Due to lack of data, it is still an open question how similar those sign languages are to the variety of ASL used in America.
In addition to the aforementioned West African countries, ASL is reported to be used as a first language in Barbados, Bolivia, Cambodia (alongside Cambodian Sign Language), the Central African Republic, Chad, China (Hong Kong), the Democratic Republic of the Congo, Gabon, Jamaica, Kenya, Madagascar, the Philippines, Singapore, and Zimbabwe. ASL is also used as a lingua franca throughout the deaf world, widely learned as a second language.
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1201_6 | Regional variation
Sign production
Sign production can often vary according to location. Signers from the South tend to sign with more flow and ease. Native signers from New York have been reported as signing comparatively more quickly and sharply. Sign production of native Californian signers has also been reported as being fast as well. Research on that phenomenon often concludes that the fast-paced production for signers from the coasts could be due to the fast-paced nature of living in large metropolitan areas. That conclusion also supports how the ease with which Southern sign could be caused by the easygoing environment of the South in comparison to that of the coasts.
Sign production can also vary depending on age and native language. For example, sign production of letters may vary in older signers. Slight differences in finger spelling production can be a signal of age. Additionally, signers who learned American Sign Language as a second language vary in production. For Deaf signers who learned a different sign language before learning American Sign Language, qualities of their native language may show in their ASL production. Some examples of that varied production include finger spelling towards the body, instead of away from it, and signing certain movement from bottom to top, instead of top to bottom. Hearing people who learn American Sign Language also have noticeable differences in signing production. The most notable production difference of hearing people learning American Sign Language is their rhythm and arm posture.
Sign variants
Most popularly, there are variants of the signs for English words such as "birthday", "pizza", "Halloween", "early", and "soon", just a sample of the most commonly recognized signs with variant based on regional change. The sign for "school" is commonly varied between black and white signers. The variation between sign produced by black and white signers is sometimes referred to as Black American Sign Language. | [
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1201_7 | History and implications
The prevalence of residential Deaf schools can account for much of the regional variance of signs and sign productions across the United States. Deaf schools often serve students of the state in which the school resides. That limited access to signers from other regions, combined with the residential quality of Deaf Schools promoted specific use of certain sign variants. Native signers did not have much access to signers from other regions during the beginning years of their education. It is hypothesized that because of that seclusion, certain variants of a sign prevailed over others due to the choice of variant used by the student of the school/signers in the community.
However, American Sign Language does not appear to be vastly varied in comparison to other signed languages. That is because when Deaf education was beginning in the United States, many educators flocked to the American School for the Deaf in Hartford, Connecticut, whose central location for the first generation of educators in Deaf education to learn American Sign Language allows ASL to be more standardized than its variant.
Varieties
Varieties of ASL are found throughout the world. There is little difficulty in comprehension among the varieties of the United States and Canada.
Mutual intelligibility among those ASL varieties is high, and the variation is primarily lexical. For example, there are three different words for English about in Canadian ASL; the standard way, and two regional variations (Atlantic and Ontario). Variation may also be phonological, meaning that the same sign may be signed in a different way depending on the region. For example, an extremely common type of variation is between the handshapes /1/, /L/, and /5/ in signs with one handshape. | [
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1201_8 | There is also a distinct variety of ASL used by the Black Deaf community. Black ASL evolved as a result of racially segregated schools in some states, which included the residential schools for the deaf. Black ASL differs from standard ASL in vocabulary, phonology, and some grammatical structure. While African American English (AAE) is generally viewed as more innovating than standard English, Black ASL is more conservative than standard ASL, preserving older forms of many signs. Black sign language speakers use more two-handed signs than in mainstream ASL, are less likely to show assimilatory lowering of signs produced on the forehead (e.g. KNOW) and use a wider signing space. Modern Black ASL borrows a number of idioms from AAE; for instance, the AAE idiom "I feel you" is calqued into Black ASL.
ASL is used internationally as a lingua franca, and a number of closely related sign languages derived from ASL are used in many different countries. Even so, there have been varying degrees of divergence from standard ASL in those imported ASL varieties. Bolivian Sign Language is reported to be a dialect of ASL, no more divergent than other acknowledged dialects. On the other hand, it is also known that some imported ASL varieties have diverged to the extent of being separate languages. For example, Malaysian Sign Language, which has ASL origins, is no longer mutually comprehensible with ASL and must be considered its own language. For some imported ASL varieties, such as those used in West Africa, it is still an open question how similar they are to American ASL.
When communicating with hearing English speakers, ASL-speakers often use what is commonly called Pidgin Signed English (PSE) or 'contact signing', a blend of English structure with ASL vocabulary. Various types of PSE exist, ranging from highly English-influenced PSE (practically relexified English) to PSE which is quite close to ASL lexically and grammatically, but may alter some subtle features of ASL grammar. Fingerspelling may be used more often in PSE than it is normally used in ASL. There have been some constructed sign languages, known as Manually Coded English (MCE), which match English grammar exactly and simply replace spoken words with signs; those systems are not considered to be varieties of ASL. | [
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1201_9 | Tactile ASL (TASL) is a variety of ASL used throughout the United States by and with the deaf-blind. It is particularly common among those with Usher's syndrome. It results in deafness from birth followed by loss of vision later in life; consequently, those with Usher's syndrome often grow up in the Deaf community using ASL, and later transition to TASL. TASL differs from ASL in that signs are produced by touching the palms, and there are some grammatical differences from standard ASL in order to compensate for the lack of non-manual signing.
Stigma
In 2013, the White House published a response to a petition that gained over 37,000 signatures to officially recognize American Sign Language as a community language and a language of instruction in schools. The response is titled "there shouldn't be any stigma about American Sign Language" and addressed that ASL is a vital language for the Deaf and hard of hearing. Stigmas associated with sign languages and the use of sign for educating children often lead to the absence of sign during periods in children's lives when they can access languages most effectively. Scholars such as Beth S. Benedict advocate not only for bilingualism (using ASL and English training) but also for early childhood intervention for children who are deaf. York University psychologist Ellen Bialystok has also campaigned for bilingualism, arguing that those who are bilingual acquire cognitive skills that may help to prevent dementia later in life.
Most children born to deaf parents are hearing. Known as CODAs ("Children Of Deaf Adults"), they are often more culturally Deaf than deaf children, most of whom are born to hearing parents. Unlike many deaf children, CODAs acquire ASL as well as Deaf cultural values and behaviors from birth. Such bilingual hearing children may be mistakenly labeled as being "slow learners" or as having "language difficulties" because of preferential attitudes towards spoken language.
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1201_10 | Writing systems
Although there is no well-established writing system for ASL, written sign language dates back almost two centuries. The first systematic writing system for a sign language seems to be that of Roch-Ambroise Auguste Bébian, developed in 1825. However, written sign language remained marginal among the public. In the 1960s, linguist William Stokoe created Stokoe notation specifically for ASL. It is alphabetic, with a letter or diacritic for every phonemic (distinctive) hand shape, orientation, motion, and position, though it lacks any representation of facial expression, and is better suited for individual words than for extended passages of text. Stokoe used that system for his 1965 A Dictionary of American Sign Language on Linguistic Principles.
SignWriting, proposed in 1974 by Valerie Sutton, is the first writing system to gain use among the public and the first writing system for sign languages to be included in the Unicode Standard. SignWriting consists of more than 5000 distinct iconic graphs/glyphs. Currently, it is in use in many schools for the Deaf, particularly in Brazil, and has been used in International Sign forums with speakers and researchers in more than 40 countries, including Brazil, Ethiopia, France, Germany, Italy, Portugal, Saudi Arabia, Slovenia, Tunisia, and the United States. Sutton SignWriting has both a printed and an electronically produced form so that persons can use the system anywhere that oral languages are written (personal letters, newspapers, and media, academic research). The systematic examination of the International Sign Writing Alphabet (ISWA) as an equivalent usage structure to the International Phonetic Alphabet for spoken languages has been proposed. According to some researchers, SignWriting is not a phonemic orthography and does not have a one-to-one map from phonological forms to written forms. That assertion has been disputed, and the process for each country to look at the ISWA and create a phonemic/morphemic assignment of features of each sign language was proposed by researchers Msc. Roberto Cesar Reis da Costa and Madson Barreto in a thesis forum on June 23, 2014. The SignWriting community has an open project on Wikimedia Labs to support the various Wikimedia projects on Wikimedia Incubator and elsewhere involving SignWriting. The ASL Wikipedia request was marked as eligible in 2008 and the test ASL Wikipedia has 50 articles written in ASL using SignWriting. | [
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1201_11 | The most widely used transcription system among academics is HamNoSys, developed at the University of Hamburg. Based on Stokoe Notation, HamNoSys was expanded to about 200 graphs in order to allow transcription of any sign language. Phonological features are usually indicated with single symbols, though the group of features that make up a handshape is indicated collectively with a symbol.
Several additional candidates for written ASL have appeared over the years, including SignFont, ASL-phabet, and Si5s.
For English-speaking audiences, ASL is often glossed using English words. Such glosses are typically all-capitalized and are arranged in ASL order. For example, the ASL sentence DOG NOW CHASE>IX=3 CAT, meaning "the dog is chasing the cat", uses NOW to mark ASL progressive aspect and shows ASL verbal inflection for the third person (written with >IX=3). However, glossing is not used to write the language for speakers of ASL.
Phonology
Each sign in ASL is composed of a number of distinctive components, generally referred to as parameters. A sign may use one hand or both. All signs can be described using the five parameters involved in signed languages, which are handshape, movement, palm orientation, location and non-manual markers. Just as phonemes of sound distinguish meaning in spoken languages, those parameters are the phonemes that distinguish meaning in signed languages like ASL. Changing any one of them may change the meaning of a sign, as illustrated by the ASL signs THINK and DISAPPOINTED:
There are also meaningful non-manual signals in ASL, which may include movement of the eyebrows, the cheeks, the nose, the head, the torso, and the eyes. | [
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1201_12 | William Stokoe proposed that such components are analogous to the phonemes of spoken languages. There has also been a proposal that they are analogous to classes like place and manner of articulation. As in spoken languages, those phonological units can be split into distinctive features. For instance, the handshapes /2/ and /3/ are distinguished by the presence or absence of the feature [± closed thumb], as illustrated to the right. ASL has processes of allophony and phonotactic restrictions. There is ongoing research into whether ASL has an analog of syllables in spoken language.
Grammar
Morphology
ASL has a rich system of verbal inflection, which involves both grammatical aspect: how the action of verbs flows in time—and agreement marking. Aspect can be marked by changing the manner of movement of the verb; for example, continuous aspect is marked by incorporating rhythmic, circular movement, while punctual aspect is achieved by modifying the sign so that it has a stationary hand position. Verbs may agree with both the subject and the object, and are marked for number and reciprocity. Reciprocity is indicated by using two one-handed signs; for example, the sign SHOOT, made with an L-shaped handshape with inward movement of the thumb, inflects to SHOOT[reciprocal], articulated by having two L-shaped hands "shooting" at each other.
ASL has a productive system of classifiers, which are used to classify objects and their movement in space. For example, a rabbit running downhill would use a classifier consisting of a bent V classifier handshape with a downhill-directed path; if the rabbit is hopping, the path is executed with a bouncy manner. In general, classifiers are composed of a "classifier handshape" bound to a "movement root". The classifier handshape represents the object as a whole, incorporating such attributes as surface, depth, and shape, and is usually very iconic. The movement root consists of a path, a direction and a manner.
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1201_13 | Fingerspelling
ASL possesses a set of 26 signs known as the American manual alphabet, which can be used to spell out words from the English language. Such signs make use of the 19 handshapes of ASL. For example, the signs for 'p' and 'k' use the same handshape but different orientations. A common misconception is that ASL consists only of fingerspelling; although such a method (Rochester Method) has been used, it is not ASL.
Fingerspelling is a form of borrowing, a linguistic process wherein words from one language are incorporated into another. In ASL, fingerspelling is used for proper nouns and for technical terms with no native ASL equivalent. There are also some other loan words which are fingerspelled, either very short English words or abbreviations of longer English words, e.g. O-N from English 'on', and A-P-T from English 'apartment'. Fingerspelling may also be used to emphasize a word that would normally be signed otherwise.
Syntax
ASL is a subject–verb–object (SVO) language, but various phenomena affect that basic word order. Basic SVO sentences are signed without any pauses:
However, other word orders may also occur since ASL allows the topic of a sentence to be moved to sentence-initial position, a phenomenon known as topicalization. In object–subject–verb (OSV) sentences, the object is topicalized, marked by a forward head-tilt and a pause:
Besides, word orders can be obtained through the phenomenon of subject copy in which the subject is repeated at the end of the sentence, accompanied by head nodding for clarification or emphasis:
ASL also allows null subject sentences whose subject is implied, rather than stated explicitly. Subjects can be copied even in a null subject sentence, and the subject is then omitted from its original position, yielding a verb–object–subject (VOS) construction:
Topicalization, accompanied with a null subject and a subject copy, can produce yet another word order, object–verb–subject (OVS). | [
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1201_14 | Those properties of ASL allow it a variety of word orders, leading many to question which is the true, underlying, "basic" order. There are several other proposals that attempt to account for the flexibility of word order in ASL. One proposal is that languages like ASL are best described with a topic–comment structure whose words are ordered by their importance in the sentence, rather than by their syntactic properties. Another hypothesis is that ASL exhibits free word order, in which syntax is not encoded in word order but can be encoded by other means such as head nods, eyebrow movement, and body position.
Iconicity
Common misconceptions are that signs are iconically self-explanatory, that they are a transparent imitation of what they mean, or even that they are pantomime. In fact, many signs bear no resemblance to their referent because they were originally arbitrary symbols, or their iconicity has been obscured over time. Even so, in ASL iconicity plays a significant role; a high percentage of signs resemble their referents in some way. That may be because the medium of sign, three-dimensional space, naturally allows more iconicity than oral language.
In the era of the influential linguist Ferdinand de Saussure, it was assumed that the mapping between form and meaning in language must be completely arbitrary. Although onomatopoeia is a clear exception, since words like 'choo-choo' bear clear resemblance to the sounds that they mimic, the Saussurean approach was to treat them as marginal exceptions. ASL, with its significant inventory of iconic signs, directly challenges that theory.
Research on acquisition of pronouns in ASL has shown that children do not always take advantage of the iconic properties of signs when they interpret their meaning. It has been found that when children acquire the pronoun "you", the iconicity of the point (at the child) is often confused, being treated more like a name. That is a similar finding to research in oral languages on pronoun acquisition. It has also been found that iconicity of signs does not affect immediate memory and recall; less iconic signs are remembered just as well as highly-iconic signs.
See also
American Sign Language grammar
American Sign Language literature
Baby sign language
Bimodal bilingualism
Great ape language, of which ASL has been one attempted mode
Legal recognition of sign languages
Pointing
Sign name
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] |
1201_15 | Notes
References
Bibliography
External links
Accessible American Sign Language vocabulary site
American Sign Language discussion forum
One-stop resource American Sign Language and video dictionary
National Institute of Deafness ASL section
National Association of the Deaf ASL information
American Sign Language
The American Sign Language Linguistics Research Project
Video Dictionary of ASL
American Sign Language Dictionary
American Sign Language family
Articles containing video clips
Deaf culture in the United States
French Sign Language family
Fusional languages
Languages of Barbados
Languages of Belize
Languages of Botswana
Languages of Burundi
Sign languages of Canada
Languages of Grenada
Languages of Guyana
Languages of Haiti
Languages of Saint Kitts and Nevis
Languages of Saint Vincent and the Grenadines
Languages of the United States Virgin Islands
Sign languages of the United States
Languages of Zimbabwe
Subject–verb–object languages
1817 introductions
Languages attested from the 19th century
Languages of Canada
Languages of the United States | [
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1202_0 | In computing, an applet is any small application that performs one specific task that runs within the scope of a dedicated widget engine or a larger program, often as a plug-in. The term is frequently used to refer to a Java applet, a program written in the Java programming language that is designed to be placed on a web page. Applets are typical examples of transient and auxiliary applications that don't monopolize the user's attention. Applets are not full-featured application programs, and are intended to be easily accessible.
History
The word applet was first used in 1990 in PC Magazine. However, the concept of an applet, or more broadly a small interpreted program downloaded and executed by the user, dates at least to RFC 5 (1969) by Jeff Rulifson, which described the Decode-Encode Language (DEL), which was designed to allow remote use of the oN-Line System (NLS) over ARPANET, by downloading small programs to enhance the interaction. This has been specifically credited as a forerunner of Java's downloadable programs in RFC 2555.
Applet as an extension of other software
In some cases, an applet does not run independently. These applets must run either in a container provided by a host program, through a plugin, or a variety of other applications including mobile devices that support the applet programming model.
Web-based Applets
Applets were used to provide interactive features to web applications that historically could not be provided by HTML alone. They could capture mouse input and also had controls like buttons or check boxes. In response to the user action an applet could change the provided graphic content. This made applets well suitable for demonstration, visualization, and teaching. There were online applet collections for studying various subjects, from physics to heart physiology. Applets were also used to create online game collections that allowed players to compete against live opponents in real-time. | [
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1202_1 | An applet could also be a text area only, providing, for instance, a cross platform command-line interface to some remote system. If needed, an applet could leave the dedicated area and run as a separate window. However, applets had very little control over web page content outside the applet dedicated area, so they were less useful for improving the site appearance in general (while applets like news tickers or WYSIWYG editors are also known). Applets could also play media in formats that are not natively supported by the browser.
HTML pages could embed parameters that were passed to the applet. Hence the same applet could appear differently depending on the parameters that were passed.
Examples of Web-based Applets include:
QuickTime movies
Flash movies
Windows Media Player applets, used to display embedded video files in Internet Explorer (and other browsers that supported the plugin)
3D modeling display applets, used to rotate and zoom a model
Browser games that were applet-based, though some developed into fully functional applications that required installation.
Applet Vs. Subroutine
A larger application distinguishes its applets through several features:
Applets execute only on the "client" platform environment of a system, as contrasted from "servlet". As such, an applet provides functionality or performance beyond the default capabilities of its container (the browser).
The container restricts applets' capabilities.
Applets are written in a language different from the scripting or HTML language that invokes it. The applet is written in a compiled language, whereas the scripting language of the container is an interpreted language, hence the greater performance or functionality of the applet. Unlike a subroutine, a complete web component can be implemented as an applet.
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1202_2 | Java applets
A Java applet is a Java program that is launched from HTML and run in a web browser.It takes code from server and run in a web browser.It can provide web applications with interactive features that cannot be provided by HTML. Since Java's bytecode is platform-independent, Java applets can be executed by browsers running under many platforms, including Windows, Unix, macOS, and Linux. When a Java technology-enabled web browser processes a page that contains an applet, the applet's code is transferred to the client's system and executed by the browser's Java Virtual Machine (JVM). An HTML page references an applet either via the deprecated tag or via its replacement, the tag.
Security
Recent developments in the coding of applications including mobile and embedded systems have led to the awareness of the security of applets.
Open platform applets
Applets in an open platform environment should provide secure interactions between different applications. A compositional approach can be used to provide security for open platform applets. Advanced compositional verification methods have been developed for secure applet interactions.
Java applets
A Java applet contains different security models: unsigned Java applet security, signed Java applet security, and self signed Java applet security.
Web-based applets
In an applet-enabled web browser, many methods can be used to provide applet security for malicious applets. A malicious applet can infect a computer system in many ways, including denial of service, invasion of privacy, and annoyance. A typical solution for malicious applets is to make the web browser to monitor applets' activities. This will result in a web browser that will enable the manual or automatic stopping of malicious applets.
See also
Application posture
Bookmarklet
Java applet
Widget engine
Abstract Window Toolkit
References
External links
Technology neologisms
Component-based software engineering
Java (programming language) libraries | [
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1203_0 | Alternate history (also alternative history, althist, AH) is a genre of speculative fiction of stories in which one or more historical events occur and are resolved differently than in real life. As conjecture based upon historical fact, alternative history stories propose What if? scenarios about crucial events in human history, and present outcomes very different from the historical record. Alternate history also is a subgenre of literary fiction, science fiction, and historical fiction; as literature, alternate history uses the tropes of the genre to answer the What if? speculations of the story.
Since the 1950s, as a subgenre of science fiction, alternative history stories feature the tropes of time travel between histories, and the psychic awareness of the existence of an alternative universe, by the inhabitants of a given universe; and time travel that divides history into various timestreams. In the Spanish, French, German, and Portuguese, Italian, Catalan, and Galician languages, the terms Uchronie, ucronia, ucronía, and Uchronie identify the alternate history genre, from which derives the English term Uchronia, composed of the Greek prefix ("not", "not any", and "no") and the Greek word () "time", to describe a story that occurs "[in] no time"; analogous to a story that occurs in utopia, "[in] no place". The term Uchronia also is the name of the list of alternate-history books, uchronia.net. Moreover, Allohistory (other history) is another term for the genre of alternative history. | [
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1203_1 | Definition
Alternative history is a genre of fiction wherein the author speculates upon how the course of history might have been altered if a particular historical event had an outcome different from the real life outcome. An alternate history requires three conditions: (i) A point of divergence from the historical record, before the time in which the author is writing; (ii) A change that would alter known history; and (iii) An examination of the ramifications of that alteration to history. Occasionally, some types of genre fiction are misidentified as alternative history, specifically science fiction stories set in a time that was the future for the writer, but now is the past for the reader, such as the novels 2001: A Space Odyssey (1968), by Arthur C. Clarke and Nineteen Eighty-Four (1949), by George Orwell, because the authors did not alter the history of the past when they wrote the stories.
Moreover, the genre of the Secret History of an event, which can be either fictional or non-fictional, documents events that might have occurred in history, but which had no effect upon the recorded historical outcome. Alternative history also is thematically related to, but distinct from, Counterfactual History, which is a form of historiography that attempts to answer the What if? speculations that arise from counterfactual conditions in order to understand what did happen. As a method of historical research, counterfactual history explores historical events with an extrapolated timeline in which key historical events either did not occur or had an outcome different from the historical record.
History of literature
Antiquity and medieval
The earliest example of alternate (or counterfactual) history is found in Livy's Ab Urbe Condita Libri (book IX, sections 17–19). Livy contemplated an alternative 4th century BC in which Alexander the Great had survived to attack Europe as he had planned; asking, "What would have been the results for Rome if she had been engaged in a war with Alexander?" Livy concluded that the Romans would likely have defeated Alexander. An even earlier possibility is Herodotus's Histories, which contains speculative material. | [
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1203_2 | Another example of counterfactual history was posited by cardinal and Doctor of the Church Peter Damian in the 11th century. In his famous work De Divina Omnipotentia, a long letter in which he discusses God's omnipotence, he treats questions related to the limits of divine power, including the question of whether God can change the past, for example, bringing about that Rome was never founded:I see I must respond finally to what many people, on the basis of your holiness’s [own] judgment, raise as an objection on the topic of this dispute. For they say: If, as you assert, God is omnipotent in all things, can he manage this, that things that have been made were not made? He can certainly destroy all things that have been made, so that they do not exist now. But it cannot be seen how he can bring it about that things that have been made were not made. To be sure, it can come about that from now on and hereafter Rome does not exist; for it can be destroyed. But no opinion can grasp how it can come about that it was not founded long ago...One early work of fiction detailing an alternate history is Joanot Martorell's 1490 epic romance Tirant lo Blanch, which was written when the loss of Constantinople to the Turks was still a recent and traumatic memory for Christian Europe. It tells the story of the knight Tirant the White from Brittany who travels to the embattled remnants of the Byzantine Empire. He becomes a Megaduke and commander of its armies and manages to fight off the invading Ottoman armies of . He saves the city from Islamic conquest, and even chases the Turks deeper into lands they had previously conquered.
19th century
One of the earliest works of alternate history published in large quantities for the reception of a large audience may be Louis Geoffroy's Histoire de la Monarchie universelle: Napoléon et la conquête du monde (1812–1832) (History of the Universal Monarchy: Napoleon and the Conquest of the World) (1836), which imagines Napoleon's First French Empire emerging victorious in the French invasion of Russia in 1812 and in an invasion of England in 1814, later unifying the world under Bonaparte's rule. | [
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1203_3 | In the English language, the first known complete alternate history is Nathaniel Hawthorne's short story "P.'s Correspondence", published in 1845. It recounts the tale of a man who is considered "a madman" due to his perceptions of a different 1845, a reality in which long-dead famous people, such as the poets Robert Burns, Lord Byron, Percy Bysshe Shelley and John Keats, the actor Edmund Kean, the British politician George Canning, and Napoleon Bonaparte, are still alive.
The first novel-length alternate history in English would seem to be Castello Holford's Aristopia (1895). While not as nationalistic as Louis Geoffroy's Napoléon et la conquête du monde, 1812–1823, Aristopia is another attempt to portray a Utopian society. In Aristopia, the earliest settlers in Virginia discover a reef made of solid gold and are able to build a Utopian society in North America.
Early 20th century and the era of the pulps
In 1905, H. G. Wells published A Modern Utopia. As explicitly noted in the book itself, Wells's main aim in writing it was to set out his social and political ideas, the plot serving mainly as a vehicle to expound them. This book introduced the idea of a person being transported from a point in our familiar world to the precise geographical equivalent point in an alternate world in which history had gone differently. The protagonists undergo various adventures in the alternate world, and then are finally transported back to our world, again to the precise geographical equivalent point. Since then, that has become a staple of the alternate history genre. | [
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1203_4 | A number of alternate history stories and novels appeared in the late 19th and early 20th centuries (see, for example, Joseph Edgar Chamberlin's The Ifs of History [1907] and Charles Petrie's If: A Jacobite Fantasy [1926]). In 1931, British historian Sir John Squire collected a series of essays from some of the leading historians of the period for his anthology If It Had Happened Otherwise. In that work, scholars from major universities, as well as important non-academic authors, turned their attention to such questions as "If the Moors in Spain Had Won" and "If Louis XVI Had Had an Atom of Firmness". The essays range from serious scholarly efforts to Hendrik Willem van Loon's fanciful and satiric portrayal of an independent 20th-century New Amsterdam, a Dutch city-state on the island of Manhattan. Among the authors included were Hilaire Belloc, André Maurois, and Winston Churchill.
One of the entries in Squire's volume was Churchill's "If Lee Had Not Won the Battle of Gettysburg", written from the viewpoint of a historian in a world in which the Confederacy had won the American Civil War. The entry considers what would have happened if the North had been victorious (in other words, a character from an alternate world imagines a world more like the real one we live in, although it is not identical in every detail). Speculative work that narrates from the point of view of an alternate history is variously known as "recursive alternate history", a "double-blind what-if", or an "alternate-alternate history". Churchill's essay was one of the influences behind Ward Moore's alternate history novel Bring the Jubilee in which General Robert E. Lee won the Battle of Gettysburg and paved the way for the eventual victory of the Confederacy in the American Civil War (named the "War of Southron Independence" in this timeline). The protagonist, the autodidact Hodgins Backmaker, travels back to the aforementioned battle and inadvertently changes history, which results in the emergence of our own timeline and the consequent victory of the Union instead. | [
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1203_5 | The American humorist author James Thurber parodied alternate history stories about the American Civil War in his 1930 story "If Grant Had Been Drinking at Appomattox", which he accompanied with this very brief introduction: "Scribner's magazine is publishing a series of three articles: 'If Booth Had Missed Lincoln', 'If Lee Had Won the Battle of Gettysburg', and 'If Napoleon Had Escaped to America'. This is the fourth".
Another example of alternate history from this period (and arguably the first that explicitly posited cross-time travel from one universe to another as anything more than a visionary experience) is H.G. Wells' Men Like Gods (1923) in which the London-based journalist Mr. Barnstable, along with two cars and their passengers, is mysteriously teleported into "another world", which the "Earthlings" call Utopia. Being far more advanced than Earth, Utopia is some 3000 years ahead of humanity in its development. Wells describes a multiverse of alternative worlds, complete with the paratime travel machines that would later become popular with American pulp writers. However, since his hero experiences only a single alternate world, the story is not very different from conventional alternate history.
In the 1930s, alternate history moved into a new arena. The December 1933 issue of Astounding published Nat Schachner's "Ancestral Voices", which was quickly followed by Murray Leinster's "Sidewise in Time". While earlier alternate histories examined reasonably-straightforward divergences, Leinster attempted something completely different. In his "World gone mad", pieces of Earth traded places with their analogs from different timelines. The story follows Professor Minott and his students from a fictitious Robinson College as they wander through analogues of worlds that followed a different history.
A somewhat similar approach was taken by Robert A. Heinlein in his 1941 novelette Elsewhen in which a professor trains his mind to move his body across timelines. He then hypnotizes his students so that they can explore more of them. Eventually, each settles into the reality that is most suitable for him or her. Some of the worlds they visit are mundane, some are very odd, and others follow science fiction or fantasy conventions.
World War II produced alternate history for propaganda: both British and American authors wrote works depicting Nazi invasions of their respective countries as cautionary tales. | [
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] |
1203_6 | Time travel to create historical divergences
The period around World War II also saw the publication of the time travel novel Lest Darkness Fall by L. Sprague de Camp in which an American academic travels to Italy at the time of the Byzantine invasion of the Ostrogoths. De Camp's time traveler, Martin Padway, is depicted as making permanent historical changes and implicitly forming a new time branch, thereby making the work an alternate history.
In William Tenn's short story Brooklyn Project (1948), a tyrannical US Government brushes aside the warnings of scientists about the dangers of time travel and goes on with a planned experiment - with the result that minor changes to the prehistoric past cause Humanity to never have existed, its place taken by tentacled underwater intelligent creatures - who also have a tyrannical government which also insists on experimenting with time-travel.
Time travel as the cause of a point of divergence (POD), which can denote either the bifurcation of a historical timeline or a simple replacement of the future that existed before the time-travelling event, has continued to be a popular theme. In Ward Moore's Bring the Jubilee, the protagonist lives in an alternate history in which the Confederacy has won the American Civil War. He travels backward through time and brings about a Union victory at the Battle of Gettysburg.
When a story's assumptions about the nature of time travel lead to the complete replacement of the visited time's future, rather than just the creation of an additional time line, the device of a "time patrol" is often used where guardians move through time to preserve the "correct" history.
A more recent example is Making History by Stephen Fry in which a time machine is used to alter history so that Adolf Hitler was never born. That ironically results in a more competent leader of Nazi Germany and results in the country's ascendancy and longevity in the altered timeline.
Cross-time stories
H.G. Wells' "cross-time" or "many universes" variant (see above) was fully developed by Murray Leinster in his 1934 short story "Sidewise in Time", in which sections of the Earth's surface begin changing places with their counterparts in alternate timelines. | [
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1203_7 | Fredric Brown employed this subgenre to satirize the science fiction pulps and their adolescent readers—and fears of foreign invasion—in the classic What Mad Universe (1949). In Clifford D. Simak's Ring Around the Sun (1953), the hero ends up in an alternate earth of thick forests in which humanity never developed but a band of mutants is establishing a colony; the story line appears to frame the author's anxieties regarding McCarthyism and the Cold War.
Quantum theory of many worlds
While many justifications for alternate histories involve a multiverse, the "many world" theory would naturally involve many worlds, in fact a continually exploding array of universes. In quantum theory, new worlds would proliferate with every quantum event, and even if the writer uses human decisions, every decision that could be made differently would result in a different timeline. A writer's fictional multiverse may, in fact, preclude some decisions as humanly impossible, as when, in Night Watch, Terry Pratchett depicts a character informing Vimes that while anything that can happen, has happened, nevertheless there is no history whatsoever in which Vimes has ever murdered his wife. When the writer explicitly maintains that all possible decisions are made in all possible ways, one possible conclusion is that the characters were neither brave, nor clever, nor skilled, but simply lucky enough to happen on the universe in which they did not choose the cowardly route, take the stupid action, fumble the crucial activity, etc.; few writers focus on this idea, although it has been explored in stories such as Larry Niven's story All the Myriad Ways, where the reality of all possible universes leads to an epidemic of suicide and crime because people conclude their choices have no moral import. | [
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1203_8 | In any case, even if it is true that every possible outcome occurs in some world, it can still be argued that traits such as bravery and intelligence might still affect the relative frequency of worlds in which better or worse outcomes occurred (even if the total number of worlds with each type of outcome is infinite, it is still possible to assign a different measure to different infinite sets). The physicist David Deutsch, a strong advocate of the many-worlds interpretation of quantum mechanics, has argued along these lines, saying that "By making good choices, doing the right thing, we thicken the stack of universes in which versions of us live reasonable lives. When you succeed, all the copies of you who made the same decision succeed too. What you do for the better increases the portion of the multiverse where good things happen." This view is perhaps somewhat too abstract to be explored directly in science fiction stories, but a few writers have tried, such as Greg Egan in his short story The Infinite Assassin, where an agent is trying to contain reality-scrambling "whirlpools" that form around users of a certain drug, and the agent is constantly trying to maximize the consistency of behavior among his alternate selves, attempting to compensate for events and thoughts he experiences, he guesses are of low measure relative to those experienced by most of his other selves.
Many writers—perhaps the majority—avoid the discussion entirely. In one novel of this type, H. Beam Piper's Lord Kalvan of Otherwhen, a Pennsylvania State Police officer, who knows how to make gunpowder, is transported from our world to an alternate universe where the recipe for gunpowder is a tightly held secret and saves a country that is about to be conquered by its neighbors. The paratime patrol members are warned against going into the timelines immediately surrounding it, where the country will be overrun, but the book never depicts the slaughter of the innocent thus entailed, remaining solely in the timeline where the country is saved. | [
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1203_9 | The cross-time theme was further developed in the 1960s by Keith Laumer in the first three volumes of his Imperium sequence, which would be completed in Zone Yellow (1990). Piper's politically more sophisticated variant was adopted and adapted by Michael Kurland and Jack Chalker in the 1980s; Chalker's G.O.D. Inc trilogy (1987–89), featuring paratime detectives Sam and Brandy Horowitz, marks the first attempt at merging the paratime thriller with the police procedural. Kurland's Perchance (1988), the first volume of the never-completed "Chronicles of Elsewhen", presents a multiverse of secretive cross-time societies that utilize a variety of means for cross-time travel, ranging from high-tech capsules to mutant powers. Harry Turtledove has launched the Crosstime Traffic series for teenagers featuring a variant of H. Beam Piper's paratime trading empire.
Rival paratime worlds
The concept of a cross-time version of a world war, involving rival paratime empires, was developed in Fritz Leiber's Change War series, starting with the Hugo Award winning The Big Time (1958); followed by Richard C. Meredith's Timeliner trilogy in the 1970s, Michael McCollum's A Greater Infinity (1982) and John Barnes' Timeline Wars trilogy in the 1990s.
Such "paratime" stories may include speculation that the laws of nature can vary from one universe to the next, providing a science fictional explanation—or veneer—for what is normally fantasy. Aaron Allston's Doc Sidhe and Sidhe Devil take place between our world, the "grim world" and an alternate "fair world" where the Sidhe retreated to. Although technology is clearly present in both worlds, and the "fair world" parallels our history, about fifty years out of step, there is functional magic in the fair world. Even with such explanation, the more explicitly the alternate world resembles a normal fantasy world, the more likely the story is to be labelled fantasy, as in Poul Anderson's "House Rule" and "Loser's Night". In both science fiction and fantasy, whether a given parallel universe is an alternate history may not be clear. The writer might allude to a POD only to explain the existence and make no use of the concept, or may present the universe without explanation of its existence. | [
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1203_10 | Major writers explore alternate histories
Isaac Asimov's short story "What If—" (1952) is about a couple who can explore alternate realities by means of a television-like device. This idea can also be found in Asimov's novel The End of Eternity (1955), in which the "Eternals" can change the realities of the world, without people being aware of it. Poul Anderson's Time Patrol stories feature conflicts between forces intent on changing history and the Patrol who work to preserve it. One story, Delenda Est, describes a world in which Carthage triumphed over the Roman Republic. The Big Time, by Fritz Leiber, describes a Change War ranging across all of history.
Keith Laumer's Worlds of the Imperium is one of the earliest alternate history novels; it was published by Fantastic Stories of the Imagination in 1961, in magazine form, and reprinted by Ace Books in 1962 as one half of an Ace Double. Besides our world, Laumer describes a world ruled by an Imperial aristocracy formed by the merger of European empires, in which the American Revolution never happened, and a third world in post-war chaos ruled by the protagonist's doppelganger.
Philip K. Dick's novel, The Man in the High Castle (1962), is an alternate history in which Nazi Germany and Imperial Japan won World War II. This book contains an example of "alternate-alternate" history, in that one of its characters authored a book depicting a reality in which the Allies won the war, itself divergent from real-world history in several aspects. The several characters live within a divided United States, in which the Empire of Japan takes the Pacific states, governing them as a puppet, Nazi Germany takes the East Coast of the United States and parts of the Midwest, with the remnants of the old United States' government as the Neutral Zone, a buffer state between the two superpowers. The book has inspired an Amazon series of the same name. | [
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1203_11 | Vladimir Nabokov's novel, Ada or Ardor: A Family Chronicle (1969), is a story of incest that takes place within an alternate North America settled in part by Czarist Russia and that borrows from Dick's idea of "alternate-alternate" history (the world of Nabokov's hero is wracked by rumors of a "counter-earth" that apparently is ours). Some critics believe that the references to a counter-earth suggest that the world portrayed in Ada is a delusion in the mind of the hero (another favorite theme of Dick's novels). Strikingly, the characters in Ada seem to acknowledge their own world as the copy or negative version, calling it "Anti-Terra", while its mythical twin is the real "Terra". Like history, science has followed a divergent path on Anti-Terra: it boasts all the same technology as our world, but all based on water instead of electricity; e.g., when a character in Ada makes a long-distance call, all the toilets in the house flush at once to provide hydraulic power.
Guido Morselli described the defeat of Italy (and subsequently France) in World War I in his novel, Past Conditional (1975; ), wherein the static Alpine front line which divided Italy from Austria during that war collapses when the Germans and the Austrians forsake trench warfare and adopt blitzkrieg twenty years in advance.
Kingsley Amis set his novel, The Alteration (1976), in the 20th century, but major events in the Reformation did not take place, and Protestantism is limited to the breakaway Republic of New England. Martin Luther was reconciled to the Roman Catholic Church and later became Pope Germanian I.
In Nick Hancock and Chris England's 1997 book What Didn't Happen Next: An Alternative History of Football it is suggested that, had Gordon Banks been fit to play in the 1970 FIFA World Cup quarter-final, there would have been no Thatcherism and the post-war consensus would have continued indefinitely. | [
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1203_12 | Kim Stanley Robinson's novel, The Years of Rice and Salt (2002), starts at the point of divergence with Timur turning his army away from Europe, and the Black Death has killed 99% of Europe's population, instead of only a third. Robinson explores world history from that point in AD 1405 (807 AH) to about AD 2045 (1467 AH). Rather than following the great man theory of history, focusing on leaders, wars, and major events, Robinson writes more about social history, similar to the Annales School of history theory and Marxist historiography, focusing on the lives of ordinary people living in their time and place.
Philip Roth's novel, The Plot Against America (2004), looks at an America where Franklin D. Roosevelt is defeated in 1940 in his bid for a third term as President of the United States, and Charles Lindbergh is elected, leading to a US that features increasing fascism and anti-Semitism.
Michael Chabon, occasionally an author of speculative fiction, contributed to the genre with his novel The Yiddish Policemen's Union (2007), which explores a world in which the State of Israel was destroyed in its infancy and many of the world's Jews instead live in a small strip of Alaska set aside by the US government for Jewish settlement. The story follows a Jewish detective solving a murder case in the Yiddish-speaking semi-autonomous city state of Sitka. Stylistically, Chabon borrows heavily from the noir and detective fiction genres, while exploring social issues related to Jewish history and culture. Apart from the alternate history of the Jews and Israel, Chabon also plays with other common tropes of alternate history fiction; in the book, Germany actually loses the war even harder than they did in reality, getting hit with a nuclear bomb instead of just simply losing a ground war (subverting the common "what if Germany won WWII?" trope).
Contemporary alternate history in popular literature | [
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1203_13 | Contemporary alternate history in popular literature
The late 1980s and the 1990s saw a boom in popular-fiction versions of alternate history, fueled by the emergence of the prolific alternate history author Harry Turtledove, as well as the development of the steampunk genre and two series of anthologies—the What Might Have Been series edited by Gregory Benford and the Alternate ... series edited by Mike Resnick. This period also saw alternate history works by S. M. Stirling, Kim Stanley Robinson, Harry Harrison, Howard Waldrop, Peter Tieryas, and others.
In 1986, a sixteen-part epic comic book series called Captain Confederacy began examining a world where the Confederate States of America won the American Civil War. In the series, the Captain and others heroes are staged government propaganda events featuring the feats of these superheroes.
Since the late 1990s, Harry Turtledove has been the most prolific practitioner of alternate history and has been given the title "Master of Alternate History" by some. His books include those of Timeline 191 (a.k.a. Southern Victory, also known as TL-191), in which, while the Confederate States of America won the American Civil War, the Union and Imperial Germany defeat the Entente Powers in the two "Great War"s of the 1910s and 1940s (with a Nazi-esque Confederate government attempting to exterminate its Black population), and the Worldwar series, in which aliens invaded Earth during World War II. Other stories by Turtledove include A Different Flesh, in which America was not colonized from Asia during the last ice age; In the Presence of Mine Enemies, in which the Nazis won World War II; and Ruled Britannia, in which the Spanish Armada succeeded in conquering England in the Elizabethan era, with William Shakespeare being given the task of writing the play that will motivate the Britons to rise up against their Spanish conquerors. He also co-authored a book with actor Richard Dreyfuss, The Two Georges, in which the United Kingdom retained the American colonies, with George Washington and King George III making peace. He did a two-volume series in which the Japanese not only bombed Pearl Harbor but also invaded and occupied the Hawaiian Islands. | [
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1203_14 | Perhaps the most incessantly explored theme in popular alternate history focuses on worlds in which the Nazis won World War Two. In some versions, the Nazis and/or Axis Powers conquer the entire world; in others, they conquer most of the world but a "Fortress America" exists under siege; while in others, there is a Nazi/Japanese Cold War comparable to the US/Soviet equivalent in 'our' timeline. Fatherland (1992), by Robert Harris, is set in Europe following the Nazi victory. The novel Dominion by C.J. Sansom (2012) is similar in concept but is set in England, with Churchill the leader of an anti-German Resistance and other historic persons in various fictional roles. In the Mecha Samurai Empire series (2016), Peter Tieryas focuses on the Asian-American side of the alternate history, exploring an America ruled by the Japanese Empire while integrating elements of Asian pop culture like mechas and videogames.
Several writers have posited points of departure for such a world but then have injected time splitters from the future or paratime travel, for instance James P. Hogan's The Proteus Operation. Norman Spinrad wrote The Iron Dream in 1972, which is intended to be a science fiction novel written by Adolf Hitler after fleeing from Europe to North America in the 1920s.
In Jo Walton's "Small Change" series, the United Kingdom made peace with Hitler before the involvement of the United States in World War II, and slowly collapses due to severe economic depression. Former House Speaker Newt Gingrich and William R. Forstchen have written a novel, 1945, in which the US defeated Japan but not Germany in World War II, resulting in a Cold War with Germany rather than the Soviet Union. Gingrich and Forstchen neglected to write the promised sequel; instead, they wrote a trilogy about the American Civil War, starting with Gettysburg: A Novel of the Civil War, in which the Confederates win a victory at the Battle of Gettysburg - however, after Lincoln responds by bringing Grant and his forces to the eastern theater, the Army of Northern Virginia is soon trapped and destroyed in Maryland, and the war ends within weeks. Also from that general era, Martin Cruz Smith, in his first novel, posited an independent American Indian nation following the defeat of Custer in The Indians Won (1970). | [
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1203_15 | Beginning with The Probability Broach in 1980, L. Neil Smith wrote several novels that postulated the disintegration of the US Federal Government after Albert Gallatin joins the Whiskey Rebellion in 1794 and eventually leads to the creation of a libertarian utopia.
A recent time traveling splitter variant involves entire communities being shifted elsewhere to become the unwitting creators of new time branches. These communities are transported from the present (or the near-future) to the past or to another time-line via a natural disaster, the action of technologically advanced aliens, or a human experiment gone wrong. S. M. Stirling wrote the Island in the Sea of Time trilogy, in which Nantucket Island and all its modern inhabitants are transported to Bronze Age times to become the world's first superpower. In Eric Flint's 1632 series, a small town in West Virginia is transported to 17th century central Europe and drastically changes the course of the Thirty Years' War, which was then underway. John Birmingham's Axis of Time trilogy deals with the culture shock when a United Nations naval task force from 2021 finds itself back in 1942 helping the Allies against the Empire of Japan and the Germans (and doing almost as much harm as good in spite of its advanced weapons). The series also explores the cultural impacts of people with 2021 ideals interacting with 1940s culture. Similarly, Robert Charles Wilson's Mysterium depicts a failed US government experiment which transports a small American town into an alternative version of the US run by believers in a form of Christianity known as Gnosticism, who are engaged in a bitter war with the "Spanish" in Mexico (the chief scientist at the laboratory where the experiment occurred is described as a Gnostic, and references to Christian Gnosticism appear repeatedly in the book). In Time for Patriots by retired astronomer Thomas Wm. Hamilton (4897 Tomhamilton) a town and military academy on Long Island are transported back to 1770, where they shorten the American Revolution, rewrite the Constitution, prolong Mozart's life, battle Barbary pirates, and have other adventures. | [
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1203_16 | Although not dealing in physical time travel, in his alt-history novel Marx Returns, Jason Barker introduces anachronisms into the life and times of Karl Marx, such as when his wife Jenny sings a verse from the Sex Pistols's song "Anarchy in the U.K.", or in the games of chess she plays with the Marxes' housekeeper Helene Demuth, which on one occasion involves a Caro–Kann Defence. In her review of the novel, Nina Power writes of "Jenny’s 'utopian' desire for an end to time", an attitude which, according to Power, is inspired by her husband's co-authored book The German Ideology. However, in keeping with the novel's anachronisms, the latter was not published until 1932. By contrast, the novel's timeline ends in 1871.
In fantasy genre
Many works of straight fantasy and science fantasy take place in historical settings, though with the addition of, for example, magic or mythological beasts. Some present a secret history in which the modern day world no longer believes that these elements ever existed. Many ambiguous alternate/secret histories are set in Renaissance or pre-Renaissance times, and may explicitly include a "retreat" from the world, which would explain the current absence of such phenomena. Other stories make plan a divergence of some kind.
In Poul Anderson's Three Hearts and Three Lions in which the Matter of France is history and the fairy folk are real and powerful. The same author's A Midsummer Tempest, occurs in a world in which the plays of William Shakespeare (called here "the Great Historian"), presented the literal truth in every instance. The novel itself takes place in the era of Oliver Cromwell and Charles I. Here, the English Civil War had a different outcome, and the Industrial Revolution has occurred early.
Randall Garrett's "Lord Darcy" series presents a point of divergence: a monk systemizes magic rather than science, so the use of foxglove to treat heart disease is regarded as superstition. Another point of divergence occurs in 1199, when Richard the Lionheart survives the Siege of Chaluz and returns to England and makes the Angevin Empire so strong that it survives into the 20th century. | [
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1203_17 | Jonathan Strange & Mr Norrell by Susanna Clarke takes place in an England where a separate Kingdom ruled by the Raven King and founded on magic existed in Northumbria for over 300 years. In Patricia Wrede's Regency fantasies, Great Britain has a Royal Society of Wizards.
The Tales of Alvin Maker series by Orson Scott Card (a parallel to the life of Joseph Smith, founder of the Latter Day Saint movement) takes place in an alternate America, beginning in the early 19th century. Prior to that time, a POD occurred: England, under the rule of Oliver Cromwell, had banished "makers", or anyone else demonstrating "knacks" (an ability to perform seemingly supernatural feats) to the North American continent. Thus the early American colonists embraced as perfectly ordinary these gifts, and counted on them as a part of their daily lives. The political division of the continent is considerably altered, with two large English colonies bookending a smaller "American" nation, one aligned with England, and the other governed by exiled Cavaliers. Actual historical figures are seen in a much different light: Ben Franklin is revered as the continent's finest "maker", George Washington was executed after being captured, and "Tom" Jefferson is the first president of "Appalachia", the result of a compromise between the Continentals and the British Crown.
On the other hand, when the "Old Ones" (fairies) still manifest themselves in England in Keith Roberts's Pavane, which takes place in a technologically backward world after a Spanish assassination of Elizabeth I allowed the Spanish Armada to conquer England, the possibility that the fairies were real but retreated from modern advances makes the POD possible: the fairies really were present all along, in a secret history.
Again, in the English Renaissance fantasy Armor of Light by Melissa Scott and Lisa A. Barnett, the magic used in the book, by Dr. John Dee and others, actually was practiced in the Renaissance; positing a secret history of effective magic makes this an alternate history with a point of departure. Sir Philip Sidney survives the Battle of Zutphen in 1586, and shortly thereafter saving the life of Christopher Marlowe. | [
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1203_18 | When the magical version of our world's history is set in contemporary times, the distinction becomes clear between alternate history on the one hand and contemporary fantasy, using in effect a form of secret history (as when Josepha Sherman's Son of Darkness has an elf living in New York City, in disguise) on the other. In works such as Robert A. Heinlein's Magic, Incorporated where a construction company can use magic to rig up stands at a sporting event and Poul Anderson's Operation Chaos and its sequel Operation Luna, where djinns are serious weapons of war—with atomic bombs—the use of magic throughout the United States and other modern countries makes it clear that this is not secret history—although references in Operation Chaos to degaussing the effects of cold iron make it possible that it is the result of a POD. The sequel clarifies this as the result of a collaboration of Einstein and Planck in 1901, resulting in the theory of "rhea tics". Henry Moseley applies this theory to "degauss the effects of cold iron and release the goetic forces." This results in the suppression of ferromagnetism and the re-emergence of magic and magical creatures.
Alternate history shades off into other fantasy subgenres when the use of actual, though altered, history and geography decreases, although a culture may still be clearly the original source; Barry Hughart's Bridge of Birds and its sequels take place in a fantasy world, albeit one clearly based on China, and with allusions to actual Chinese history, such as the Empress Wu. Richard Garfinkle's Celestial Matters incorporates ancient Chinese physics and Greek Aristotelian physics, using them as if factual.
Alternate history has long been a staple of Japanese speculative fiction with such authors as Futaro Yamada and Ryō Hanmura writing novels set in recognizable historical settings withaddded supernatural or science fiction elements. Ryō Hanmura's 1973 Musubi no Yama Hiroku which recreated 400 years of Japan's history from the perspective of a secret magical family with psychic abilities. The novel has since come to be recognized as a masterpiece of Japanese speculative fiction. Twelve years later, author Hiroshi Aramata wrote the groundbreaking Teito Monogatari which reimagined the history of Tokyo across the 20th century in a world heavily influenced by the supernatural.
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1203_19 | Television
The TV show Sliders explores different possible alternate realities by having the protagonist "slide" into different parallel dimensions of the same planet Earth. Another TV show Motherland: Fort Salem explores a female-dominated world in which witchcraft is real. Its world diverged from our timeline when the Salem witch trials are resolved by an agreement between witches and ungifted humans.
The anime Fena: Pirate Princess featured an alternate 18th century.
The TV show The Man in the High Castle is an adaptation of the novel with the same name that ran for four seasons.
Video games
For the same reasons that this genre is explored by role-playing games, alternate history is also an intriguing backdrop for the storylines of many video games. A famous example of an alternate history game is Command & Conquer: Red Alert. Released in 1996, the game presents a point of divergence in 1946 in which Albert Einstein goes back in time to prevent World War II from ever taking place by erasing Adolf Hitler from time after he is released from Landsberg Prison in 1924. Einstein is successful in his mission, but in the process, he allows Joseph Stalin and the Soviet Union to become powerful enough to launch a massive campaign to conquer Europe.
In the Civilization series, the player guides a civilization from prehistory to the present and creates radically altered versions of history on a long time scale. Several scenarios recreate a particular period, which becomes the "point of divergence" in an alternate history shaped by the player's actions. Popular examples in Sid Meier's Civilization IV include Desert War, set in the Mediterranean theatre of World War II and featuring scripted events tied to possible outcomes of battles; Broken Star, set in a hypothetical Russian civil war in 2010; and Rhye's and Fall of Civilization, an 'Earth simulator' designed to mirror a history as closely as possible but incorporating unpredictable elements to provide realistic alternate settings. | [
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1203_20 | In some games such as the Metal Gear and Resident Evil series, events that were originally intended to represent the near future when the games were originally released later ended up becoming alternate histories in later entries in those franchises. For example, Metal Gear 2: Solid Snake (1990), set in 1999, depicted a near future that ended up becoming an alternate history in Metal Gear Solid (1998). Likewise, Resident Evil (1996) and Resident Evil 2 (1998), both set in 1998, depicted near-future events that had later become an alternative history by the time Resident Evil 4 (2005) was released.
In the 2009 steampunk shooter, Damnation is set on an alternate version of planet Earth, in the early 20th century after the American Civil War, which had spanned over several decades, and steam engines replace combustion engines. The game sees the protagonists fighting off a rich industrialist who wants to do away with both the Union and the Confederacy in one swift movement and turn the United States of America into a country called the "American Empire" with a totalitarian dictatorship.
Crimson Skies is one example of an alternate history spawning multiple interpretations in multiple genres. The stories and games in Crimson Skies take place in an alternate 1930s United States in which the nation crumbled into many hostile states following the effects of the Great Depression, the Great War, and Prohibition. With the road and railway system destroyed, commerce took to the skies, which led to the emergence of air pirate gangs who plunder the aerial commerce.
The game Freedom Fighters portrays a situation similar to that of the movie Red Dawn and Red Alert 2 but less comically than the latter. The point of divergence is during World War II in which the Soviet Union develops an atomic bomb first and uses it on Berlin. With the balance of power and influence tipped in Russia's favor, history diverges. Brief summaries at the beginning of the game inform the player of the Communist bloc's complete takeover of Europe by 1953, a different ending to the Cuban Missile Crisis, and the spread of Soviet influence into South America and Mexico. | [
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1203_21 | Similarly, the 2007 video game World in Conflict is set in 1989, with the Soviet Union on the verge of collapse. The point of divergence is several months before the opening of the game, when Warsaw Pact forces staged a desperate invasion of Western Europe. As the game begins, a Soviet invasion force lands in Seattle and takes advantage of the fact that most of the US military is in Europe.
The game Battlestations: Pacific, released in 2008, offered in alternate history campaign for the Imperial Japanese Navy in which Japan destroys all three carriers in the Battle of Midway, which is followed by a successful invasion of the island. That causes the United States to lack any sort of aerial power to fight the Japanese and to be continuously forced onto the defense.
Turning Point: Fall of Liberty, released in February 2008, is an alternate history first-person shooter in which Winston Churchill died in 1931 from being struck by a taxi cab. Therefore, Great Britain lacks the charismatic leader needed to keep the country together and allows it to be successfully conquered by Nazi Germany during Operation Sea Lion in 1940. Germany later conquers the rest of Europe, as well as North Africa and the Middle East, and produces a massive number of Wunderwaffe. The Axis powers launch a surprise invasion of the isolationist United States in the Eastern Seaboard in 1953, which forces the country to surrender and submit to a puppet government.
Another alternate history game involving Nazis is War Front: Turning Point in which Hitler died during the early days of World War II and so a much more effective leadership rose to power. Under the command of a new Führer (who is referred to as "Chancellor", with his real name never being revealed), Operation Sealion succeeds, and the Nazis successfully conquer Britain and spark a cold war between them and the Allied Powers.
The Fallout series of role-playing games is set in a divergent US, whose history after World War II diverges from the real world to follow a retro-futuristic timeline. For example, fusion power was invented quite soon after the end of the war, but the transistor was never developed. The result was a future that has a 1950s "World of Tomorrow" feel to it, with extremely high technology like artificial intelligence implemented with thermionic valves and other technologies that are now considered obsolete. | [
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] |
1203_22 | Many game series by the Swedish developer Paradox Interactive start at a concise point in history and allow the player to immerse in the role of a contemporary leader and alter the course of in-game history. The most prominent game with that setting is Crusader Kings II.
S.T.A.L.K.E.R. games have an alternate history at the Chernobyl Exclusion Zone in which a special area called "The Zone" is formed.
Wolfenstein: The New Order is set in an alternate 1960 in which the Nazis won World War II and do so also by acquiring high technology. The sequel Wolfenstein II: The New Colossus continues that but is set in the conquered United States of America.
A game made by Paradox Interactive, "Alternate WWII: The Game" was supposed to release in June 2021, but was canceled. It was mostly secret but announced to the public when cancelled.
Online
Fans of alternate history have made use of the internet from a very early point to showcase their own works and provide useful tools for those fans searching for anything alternate history, first in mailing lists and usenet groups, later in web databases and forums. The "Usenet Alternate History List" was first posted on April 11, 1991, to the Usenet newsgroup rec.arts.sf-lovers. In May 1995, the dedicated newsgroup soc.history.what-if was created for showcasing and discussing alternate histories. Its prominence declined with the general migration from unmoderated usenet to moderated web forums, most prominently AlternateHistory.com, the self-described "largest gathering of alternate history fans on the internet" with over 10,000 active members.
In addition to these discussion forums, in 1997 Uchronia: The Alternate History List was created as an online repository, now containing over 2,900 alternate history novels, stories, essays, and other printed materials in several different languages. Uchronia was selected as the Sci Fi Channel's "Sci Fi Site of the Week" twice.
See also
20th century in science fiction
Alien space bats
Alternate ending
Alternative future
American Civil War alternate histories
Dieselpunk
Dystopian
Fictional universe
Future history
The Garden of Forking Paths
Historical revisionism
Hypothetical Axis victory in World War II
Invasion literature
Jonbar hinge
List of alternate history fiction
Possible worlds
Pulp novels
Ruritanian romance
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1203_23 | References
Further reading
Chapman, Edgar L., and Carl B. Yoke (eds.). Classic and Iconoclastic Alternate History Science Fiction. Mellen, 2003.
Collins, William Joseph. Paths Not Taken: The Development, Structure, and Aesthetics of the Alternative History. University of California at Davis 1990.
Darius, Julian. "58 Varieties: Watchmen and Revisionism". In Minutes to Midnight: Twelve Essays on Watchmen. Sequart Research & Literacy Organization, 2010. Focuses on Watchmen as alternate history.
Robert Cowley (ed.), What If? Military Historians Imagine What Might Have Been. Pan Books, 1999.
Gevers, Nicholas. Mirrors of the Past: Versions of History in Science Fiction and Fantasy. University of Cape Town, 1997
Hellekson, Karen. The Alternate History: Refiguring Historical Time. Kent State University Press, 2001
Keen, Antony G. "Alternate Histories of the Roman Empire in Stephen Baxter, Robert Silverberg and Sophia McDougall". Foundation: The International Review of Science Fiction 102, Spring 2008.
McKnight, Edgar Vernon, Jr. Alternative History: The Development of a Literary Genre. University of North Carolina at Chapel Hill, 1994.
Morgan, Glyn, and C. Palmer-Patel (eds.). Sideways in Time: Critical Essays on Alternate History Fiction. Liverpool University Press, 2019.
Nedelkovh, Aleksandar B. British and American Science Fiction Novel 1950–1980 with the Theme of Alternative History (an Axiological Approach). 1994 , 1999 .
Rosenfeld, Gavriel David. The World Hitler Never Made. Alternate History and the Memory of Nazism. 2005
Rosenfeld, Gavriel David. "Why Do We Ask 'What If?' Reflections on the Function of Alternate History." History and Theory 41, Theme Issue 41 (December 2002), 90–103
Schneider-Mayerson, Matthew. "What Almost Was: The Politics of the Contemporary Alternate History Novel." American Studies 30, 3–4 (Summer 2009), 63–83.
Singles, Kathleen. Alternate History: Playing With Contingency and Necessity. De Gruyter, Inc., 2013.
External links
Historical novels subgenres | [
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1206_0 | In atomic theory and quantum mechanics, an atomic orbital is a mathematical function describing the location and wave-like behavior of an electron in an atom. This function can be used to calculate the probability of finding any electron of an atom in any specific region around the atom's nucleus. The term atomic orbital may also refer to the physical region or space where the electron can be calculated to be present, as predicted by the particular mathematical form of the orbital.
Each orbital in an atom is characterized by a set of values of the three quantum numbers , , and , which respectively correspond to the electron's energy, angular momentum, and an angular momentum vector component (the magnetic quantum number). Alternative to the magnetic quantum number, the orbitals are often labeled by the associated harmonic polynomials (e.g. xy, x2−y2). Each such orbital can be occupied by a maximum of two electrons, each with its own projection of spin . The simple names s orbital, p orbital, d orbital, and f orbital refer to orbitals with angular momentum quantum number and respectively. These names, together with the value of , are used to describe the electron configurations of atoms. They are derived from the description by early spectroscopists of certain series of alkali metal spectroscopic lines as sharp, principal, diffuse, and fundamental. Orbitals for > 3 continue alphabetically (g, h, i, k, ...), omitting j because some languages do not distinguish between the letters "i" and "j". | [
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1206_1 | Atomic orbitals are the basic building blocks of the atomic orbital model (alternatively known as the electron cloud or wave mechanics model), a modern framework for visualizing the submicroscopic behavior of electrons in matter. In this model the electron cloud of a multi-electron atom may be seen as being built up (in approximation) in an electron configuration that is a product of simpler hydrogen-like atomic orbitals. The repeating periodicity of the blocks of 2, 6, 10, and 14 elements within sections of the periodic table arises naturally from the total number of electrons that occupy a complete set of s, p, d, and f atomic orbitals, respectively, although for higher values of the quantum number , particularly when the atom in question bears a positive charge, the energies of certain sub-shells become very similar and so the order in which they are said to be populated by electrons (e.g. Cr = [Ar]4s13d5 and Cr2+ = [Ar]3d4) can only be rationalized somewhat arbitrarily.
Electron properties
With the development of quantum mechanics and experimental findings (such as the two slit diffraction of electrons), it was found that the orbiting electrons around a nucleus could not be fully described as particles, but needed to be explained by the wave-particle duality. In this sense, the electrons have the following properties:
Wave-like properties:
The electrons do not orbit the nucleus in the manner of a planet orbiting the sun, but instead exist as standing waves. Thus the lowest possible energy an electron can take is similar to the fundamental frequency of a wave on a string. Higher energy states are similar to harmonics of that fundamental frequency.
The electrons are never in a single point location, although the probability of interacting with the electron at a single point can be found from the wave function of the electron. The charge on the electron acts like it is smeared out in space in a continuous distribution, proportional at any point to the squared magnitude of the electron's wave function. | [
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1206_2 | Particle-like properties:
The number of electrons orbiting the nucleus can only be an integer.
Electrons jump between orbitals like particles. For example, if a single photon strikes the electrons, only a single electron changes states in response to the photon.
The electrons retain particle-like properties such as: each wave state has the same electrical charge as its electron particle. Each wave state has a single discrete spin (spin up or spin down) depending on its superposition.
Thus, electrons cannot be described simply as solid particles. An analogy might be that of a large and often oddly shaped "atmosphere" (the electron), distributed around a relatively tiny planet (the atomic nucleus). Atomic orbitals exactly describe the shape of this "atmosphere" only when a single electron is present in an atom. When more electrons are added to a single atom, the additional electrons tend to more evenly fill in a volume of space around the nucleus so that the resulting collection (sometimes termed the atom's "electron cloud") tends toward a generally spherical zone of probability describing the electron's location, because of the uncertainty principle.
Formal quantum mechanical definition
Atomic orbitals may be defined more precisely in formal quantum mechanical language. They are approximate solutions to the Schrodinger equation for the electrons bound to the atom by the electric field of the atom's nucleus. Specifically, in quantum mechanics, the state of an atom, i.e., an eigenstate of the atomic Hamiltonian, is approximated by an expansion (see configuration interaction expansion and basis set) into linear combinations of anti-symmetrized products (Slater determinants) of one-electron functions. The spatial components of these one-electron functions are called atomic orbitals. (When one considers also their spin component, one speaks of atomic spin orbitals.) A state is actually a function of the coordinates of all the electrons, so that their motion is correlated, but this is often approximated by this independent-particle model of products of single electron wave functions. (The London dispersion force, for example, depends on the correlations of the motion of the electrons.) | [
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1206_3 | In atomic physics, the atomic spectral lines correspond to transitions (quantum leaps) between quantum states of an atom. These states are labeled by a set of quantum numbers summarized in the term symbol and usually associated with particular electron configurations, i.e., by occupation schemes of atomic orbitals (for example, 1s2 2s2 2p6 for the ground state of neon-term symbol: 1S0).
This notation means that the corresponding Slater determinants have a clear higher weight in the configuration interaction expansion. The atomic orbital concept is therefore a key concept for visualizing the excitation process associated with a given transition. For example, one can say for a given transition that it corresponds to the excitation of an electron from an occupied orbital to a given unoccupied orbital. Nevertheless, one has to keep in mind that electrons are fermions ruled by the Pauli exclusion principle and must be distinguished from each other. Moreover, it sometimes happens that the configuration interaction expansion converges very slowly and that one cannot speak about simple one-determinant wave function at all. This is the case when electron correlation is large.
Fundamentally, an atomic orbital is a one-electron wave function, even though most electrons do not exist in one-electron atoms, and so the one-electron view is an approximation. When thinking about orbitals, we are often given an orbital visualization heavily influenced by the Hartree–Fock approximation, which is one way to reduce the complexities of molecular orbital theory.
Types of orbitals | [
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1206_4 | Types of orbitals
Atomic orbitals can be the hydrogen-like "orbitals" which are exact solutions to the Schrödinger equation for a hydrogen-like "atom" (i.e., an atom with one electron). Alternatively, atomic orbitals refer to functions that depend on the coordinates of one electron (i.e., orbitals) but are used as starting points for approximating wave functions that depend on the simultaneous coordinates of all the electrons in an atom or molecule. The coordinate systems chosen for atomic orbitals are usually spherical coordinates in atoms and Cartesian in polyatomic molecules. The advantage of spherical coordinates (for atoms) is that an orbital wave function is a product of three factors each dependent on a single coordinate: . The angular factors of atomic orbitals generate s, p, d, etc. functions as real combinations of spherical harmonics (where and are quantum numbers). There are typically three mathematical forms for the radial functions which can be chosen as a starting point for the calculation of the properties of atoms and molecules with many electrons:
The hydrogen-like atomic orbitals are derived from the exact solutions of the Schrödinger Equation for one electron and a nucleus, for a hydrogen-like atom. The part of the function that depends on the distance r from the nucleus has nodes (radial nodes) and decays as .
The Slater-type orbital (STO) is a form without radial nodes but decays from the nucleus as does the hydrogen-like orbital.
The form of the Gaussian type orbital (Gaussians) has no radial nodes and decays as .
Although hydrogen-like orbitals are still used as pedagogical tools, the advent of computers has made STOs preferable for atoms and diatomic molecules since combinations of STOs can replace the nodes in hydrogen-like atomic orbital. Gaussians are typically used in molecules with three or more atoms. Although not as accurate by themselves as STOs, combinations of many Gaussians can attain the accuracy of hydrogen-like orbitals.
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1206_5 | History
The term "orbital" was coined by Robert Mulliken in 1932 as an abbreviation for one-electron orbital wave function. However, the idea that electrons might revolve around a compact nucleus with definite angular momentum was convincingly argued at least 19 years earlier by Niels Bohr, and the Japanese physicist Hantaro Nagaoka published an orbit-based hypothesis for electronic behavior as early as 1904. Explaining the behavior of these electron "orbits" was one of the driving forces behind the development of quantum mechanics.
Early models
With J. J. Thomson's discovery of the electron in 1897, it became clear that atoms were not the smallest building blocks of nature, but were rather composite particles. The newly discovered structure within atoms tempted many to imagine how the atom's constituent parts might interact with each other. Thomson theorized that multiple electrons revolved in orbit-like rings within a positively charged jelly-like substance, and between the electron's discovery and 1909, this "plum pudding model" was the most widely accepted explanation of atomic structure.
Shortly after Thomson's discovery, Hantaro Nagaoka predicted a different model for electronic structure. Unlike the plum pudding model, the positive charge in Nagaoka's "Saturnian Model" was concentrated into a central core, pulling the electrons into circular orbits reminiscent of Saturn's rings. Few people took notice of Nagaoka's work at the time, and Nagaoka himself recognized a fundamental defect in the theory even at its conception, namely that a classical charged object cannot sustain orbital motion because it is accelerating and therefore loses energy due to electromagnetic radiation. Nevertheless, the Saturnian model turned out to have more in common with modern theory than any of its contemporaries. | [
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] |
1206_6 | Bohr atom
In 1909, Ernest Rutherford discovered that the bulk of the atomic mass was tightly condensed into a nucleus, which was also found to be positively charged. It became clear from his analysis in 1911 that the plum pudding model could not explain atomic structure. In 1913, Rutherford's post-doctoral student, Niels Bohr, proposed a new model of the atom, wherein electrons orbited the nucleus with classical periods, but were only permitted to have discrete values of angular momentum, quantized in units h/2π. This constraint automatically permitted only certain values of electron energies. The Bohr model of the atom fixed the problem of energy loss from radiation from a ground state (by declaring that there was no state below this), and more importantly explained the origin of spectral lines.
After Bohr's use of Einstein's explanation of the photoelectric effect to relate energy levels in atoms with the wavelength of emitted light, the connection between the structure of electrons in atoms and the emission and absorption spectra of atoms became an increasingly useful tool in the understanding of electrons in atoms. The most prominent feature of emission and absorption spectra (known experimentally since the middle of the 19th century), was that these atomic spectra contained discrete lines. The significance of the Bohr model was that it related the lines in emission and absorption spectra to the energy differences between the orbits that electrons could take around an atom. This was, however, not achieved by Bohr through giving the electrons some kind of wave-like properties, since the idea that electrons could behave as matter waves was not suggested until eleven years later. Still, the Bohr model's use of quantized angular momenta and therefore quantized energy levels was a significant step towards the understanding of electrons in atoms, and also a significant step towards the development of quantum mechanics in suggesting that quantized restraints must account for all discontinuous energy levels and spectra in atoms. | [
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1206_7 | With de Broglie's suggestion of the existence of electron matter waves in 1924, and for a short time before the full 1926 Schrödinger equation treatment of hydrogen-like atoms, a Bohr electron "wavelength" could be seen to be a function of its momentum, and thus a Bohr orbiting electron was seen to orbit in a circle at a multiple of its half-wavelength. The Bohr model for a short time could be seen as a classical model with an additional constraint provided by the 'wavelength' argument. However, this period was immediately superseded by the full three-dimensional wave mechanics of 1926. In our current understanding of physics, the Bohr model is called a semi-classical model because of its quantization of angular momentum, not primarily because of its relationship with electron wavelength, which appeared in hindsight a dozen years after the Bohr model was proposed.
The Bohr model was able to explain the emission and absorption spectra of hydrogen. The energies of electrons in the n = 1, 2, 3, etc. states in the Bohr model match those of current physics. However, this did not explain similarities between different atoms, as expressed by the periodic table, such as the fact that helium (two electrons), neon (10 electrons), and argon (18 electrons) exhibit similar chemical inertness. Modern quantum mechanics explains this in terms of electron shells and subshells which can each hold a number of electrons determined by the Pauli exclusion principle. Thus the n = 1 state can hold one or two electrons, while the n = 2 state can hold up to eight electrons in 2s and 2p subshells. In helium, all n = 1 states are fully occupied; the same is true for n = 1 and n = 2 in neon. In argon, the 3s and 3p subshells are similarly fully occupied by eight electrons; quantum mechanics also allows a 3d subshell but this is at higher energy than the 3s and 3p in argon (contrary to the situation in the hydrogen atom) and remains empty. | [
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0.008025219663977623,
-0.012809903360903263,
-0.006187465973198414,
0.02402491308748722,
0.019312724471092224,
-0.01858777180314064,
-0.010983023792505264,
0.010598799213767052,
-0.023082474246621132,
0.04013334587216377,
-0.014948512427508831,
-0.037117548286914825,
-0.04390309751033783,
0.0037099423352628946,
0.019936181604862213,
0.0004476579197216779,
0.019037241116166115,
0.0328548289835453,
0.06907343119382858,
0.007006661966443062,
-0.04082930088043213,
0.05344346910715103,
0.004617944825440645,
0.011446993798017502,
0.002182105788961053,
0.02476436272263527,
0.014839769341051579,
0.04442506283521652,
-0.030187005177140236,
-0.039988357573747635,
0.014832519926130772,
0.013462360017001629,
-0.03949538990855217,
-0.021647069603204727,
0.005893860477954149,
-0.015629967674613,
0.0049695465713739395,
-0.056604258716106415,
0.023415952920913696,
-0.013020139187574387,
0.02930256351828575,
0.06536167860031128,
-0.010424811393022537,
-0.01180946920067072,
0.026431752368807793,
-0.029723035171628,
0.02595328539609909,
-0.0016084874514490366,
0.0036301976069808006,
0.007829482667148113,
0.037668511271476746,
0.04683190584182739,
0.01583295315504074,
-0.013614600524306297,
-0.01571696065366268,
0.002334345830604434,
0.027751166373491287,
0.048339806497097015,
-0.010700292885303497,
-0.00368094420991838,
0.015760459005832672,
0.014448295347392559,
-0.018689265474677086,
-0.010656795464456081,
-0.023285461589694023,
0.0009211422293446958,
0.01815279945731163,
0.012099450454115868,
-0.0018214421579614282,
0.007144402712583542,
0.0009324696147814393,
0.00789472833275795,
0.009221390821039677,
-0.03418873995542526,
-0.04700589179992676,
-0.0028164389077574015,
-0.04375810921192169,
-0.03476870059967041,
0.05808316171169281,
-0.025938786566257477,
-0.0036320099607110023,
-0.01866026595234871,
0.01128025446087122,
-0.038654446601867676,
-0.0040597314946353436,
-0.02503984421491623,
-0.04158325120806694,
0.006825423799455166,
0.04277217388153076,
0.07319116592407227,
0.026721734553575516,
-0.016949379816651344,
-0.02287948876619339,
0.005114537198096514,
0.04981870576739311,
-0.009264887310564518,
0.01918223313987255,
0.03343478962779045,
0.034043751657009125,
-0.013839335180819035,
0.010410311631858349,
0.03729153424501419,
-0.02981003001332283,
0.011816718615591526,
-0.03848045691847801,
0.00964911188930273,
-0.010468307882547379,
-0.018950248137116432,
0.011816718615591526,
0.012396681122481823,
-0.0052196551114320755,
-0.0021494829561561346,
0.004574447870254517,
0.013143381103873253,
-0.07539501786231995,
0.006789176259189844,
-0.014049571007490158,
0.04410608485341072,
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0.002020803978666663,
-0.05898210033774376,
0.24729566276073456,
0.041322268545627594,
0.05556032806634903,
0.013041888363659382,
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0.036044616252183914,
0.03143392130732536,
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0.0006193809676915407,
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0.01792081631720066,
0.04045232757925987,
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-0.018718263134360313,
-0.0401623472571373,
-0.058025166392326355,
-0.034594714641571045,
-0.0026895722839981318,
-0.0070646582171320915,
-0.006180216558277607,
0.004179348703473806,
0.0340147502720356,
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0.00156045937910676,
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0.03769750893115997,
0.0032731585670262575,
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0.004795558284968138,
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0.04051032289862633,
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0.07220523059368134,
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0.04103228822350502,
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0.07957074046134949,
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0.020095672458410263,
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0.011410745792090893,
0.01567346416413784,
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0.024155404418706894,
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0.03917641192674637,
-0.030216002836823463,
-0.01545597892254591,
0.006075098644942045,
0.027272697538137436,
0.013215876184403896,
0.03842246159911156,
0.07179925590753555,
0.007307516876608133,
0.030650975182652473,
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0.03523267060518265,
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0.02129909209907055,
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0.01909523829817772,
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0.016485409811139107,
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0.004585321992635727,
0.0356096476316452,
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0.048571791499853134,
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-0.050108689814805984
] |
1206_8 | Modern conceptions and connections to the Heisenberg uncertainty principle
Immediately after Heisenberg discovered his uncertainty principle, Bohr noted that the existence of any sort of wave packet implies uncertainty in the wave frequency and wavelength, since a spread of frequencies is needed to create the packet itself. In quantum mechanics, where all particle momenta are associated with waves, it is the formation of such a wave packet which localizes the wave, and thus the particle, in space. In states where a quantum mechanical particle is bound, it must be localized as a wave packet, and the existence of the packet and its minimum size implies a spread and minimal value in particle wavelength, and thus also momentum and energy. In quantum mechanics, as a particle is localized to a smaller region in space, the associated compressed wave packet requires a larger and larger range of momenta, and thus larger kinetic energy. Thus the binding energy to contain or trap a particle in a smaller region of space increases without bound as the region of space grows smaller. Particles cannot be restricted to a geometric point in space, since this would require an infinite particle momentum.
In chemistry, Schrödinger, Pauling, Mulliken and others noted that the consequence of Heisenberg's relation was that the electron, as a wave packet, could not be considered to have an exact location in its orbital. Max Born suggested that the electron's position needed to be described by a probability distribution which was connected with finding the electron at some point in the wave-function which described its associated wave packet. The new quantum mechanics did not give exact results, but only the probabilities for the occurrence of a variety of possible such results. Heisenberg held that the path of a moving particle has no meaning if we cannot observe it, as we cannot with electrons in an atom.
In the quantum picture of Heisenberg, Schrödinger and others, the Bohr atom number n for each orbital became known as an n-sphere in a three-dimensional atom and was pictured as the most probable energy of the probability cloud of the electron's wave packet which surrounded the atom.
Orbital names
Orbital notation and subshells
Orbitals have been given names, which are usually given in the form: | [
0.002287362702190876,
-0.004350582603365183,
0.04629842936992645,
-0.02197338081896305,
-0.0021642677020281553,
0.015227038413286209,
0.005427204538136721,
-0.014874288812279701,
-0.05629301071166992,
0.043241262435913086,
0.07366594672203064,
-0.02223794348537922,
0.012236013077199459,
-0.0048319390043616295,
-0.011141018941998482,
-0.00351831316947937,
0.0064817797392606735,
-0.0042917910031974316,
-0.05355919897556305,
0.004681285470724106,
-0.00999458134174347,
-0.02129727602005005,
-0.03324668109416962,
-0.0171083714812994,
-0.00654424587264657,
0.014168788678944111,
0.06631698459386826,
0.020871037617325783,
0.03242359682917595,
0.03615686669945717,
0.036597803235054016,
-0.000025233332053176127,
0.022223245352506638,
-0.011390883475542068,
0.04086019843816757,
0.020209630951285362,
0.0025923445355147123,
-0.06084936112165451,
0.03251178562641144,
-0.031629908829927444,
0.03900826349854469,
-0.0017086324514821172,
0.0375678688287735,
-0.0076135192066431046,
-0.043329451233148575,
-0.0267208069562912,
-0.02504524402320385,
0.003222517669200897,
-0.029660390689969063,
-0.06478840112686157,
0.008737909607589245,
-0.0008028735173866153,
0.019283663481473923,
-0.0019382874015718699,
0.019327756017446518,
-0.03430493175983429,
-0.022179150953888893,
0.03539257496595383,
-0.007664962206035852,
0.025868328288197517,
-0.01646166294813156,
-0.03953738883137703,
-0.0007114709005691111,
-0.00920824334025383,
0.008561534807085991,
0.02774966135621071,
-0.02335498481988907,
0.03971376270055771,
0.014271673746407032,
-0.03374641016125679,
0.03459888696670532,
-0.005456600338220596,
0.002675020368769765,
0.00929643027484417,
-0.039390407502651215,
0.03571593016386032,
-0.00961978454142809,
0.004376303870230913,
-0.06949173659086227,
-0.009436060674488544,
-0.02354605682194233,
-0.05167786404490471,
-0.011515815742313862,
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-0.017784476280212402,
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0.006727970205247402,
-0.010604544542729855,
0.005037710070610046,
0.026470942422747612,
0.03307030722498894,
-0.03221782669425011,
0.004012530203908682,
0.02289935015141964,
0.030027838423848152,
0.016153007745742798,
0.02478068321943283,
-0.019930370151996613,
0.04982592910528183,
0.008061805739998817,
0.07925114780664444,
0.0010793780675157905,
0.051648467779159546,
-0.03768545016646385,
0.06661094725131989,
-0.04941438511013985,
0.072901651263237,
-0.014264325611293316,
-0.04876767843961716,
0.020973922684788704,
-0.01672622561454773,
-0.002667671302333474,
-0.014933080412447453,
-0.011383534409105778,
0.007326909806579351,
0.006746342405676842,
0.011949404142796993,
0.009707972407341003,
-0.016153007745742798,
-0.0013779293512925506,
-0.01860755868256092,
0.06032023951411247,
0.03824397176504135,
-0.017828568816184998,
0.025206921622157097,
0.003286820836365223,
-0.038567326962947845,
-0.04588688537478447,
-0.010317935608327389,
0.013639664277434349,
0.003092073602601886,
-0.01803434081375599,
-0.0078560346737504,
0.004853986203670502,
0.05059021711349487,
0.011986148543655872,
0.028528651222586632,
0.0046445406042039394,
0.009428711608052254,
0.05297128111124039,
-0.05832132324576378,
0.048267949372529984,
0.028205296024680138,
-0.04194784536957741,
0.0013990576844662428,
0.020224329084157944,
0.00231308420188725,
-0.01480814814567566,
-0.010935247875750065,
-0.0036799900699406862,
-0.016138309612870216,
-0.015859048813581467,
0.029410526156425476,
0.00016592566680628806,
-0.01117041427642107,
-0.035186804831027985,
0.030512869358062744,
-0.03606868162751198,
0.029969045892357826,
-0.01341184601187706,
-0.0002778824418783188,
0.04438769817352295,
0.009590388275682926,
0.004707006737589836,
-0.009061263874173164,
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0.0230904221534729,
0.03915524110198021,
0.043505825102329254,
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0.06131969764828682,
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0.031541723757982254,
-0.012978257611393929,
-0.02701476588845253,
0.004596772603690624,
-0.012772486545145512,
-0.06443565338850021,
0.08001544326543808,
-0.02253190241754055,
0.015329924412071705,
-0.07166703045368195,
0.016138309612870216,
-0.00790012814104557,
-0.05197182297706604,
-0.0006283358088694513,
-0.0026933925691992044,
-0.056028448045253754,
0.03609807416796684,
-0.06666973978281021,
0.037714846432209015,
0.05123692750930786,
0.07725223153829575,
-0.012735742144286633,
-0.0033180539030581713,
-0.05217759311199188,
-0.019577620550990105,
0.00411541573703289,
-0.036979950964450836,
0.01373520027846098,
-0.014227580279111862,
-0.03571593016386032,
0.014962475746870041,
0.008951029740273952,
0.021988078951835632,
0.016417570412158966,
0.030630452558398247,
-0.010442867875099182,
0.04885586351156235,
-0.01528583001345396,
-0.00007630284380866215,
0.016094215214252472,
0.046592384576797485,
0.02345786988735199,
0.0075473785400390625,
0.022017475217580795,
0.020239027217030525,
0.011684841476380825,
-0.005254504270851612,
0.01776977814733982,
0.03853793069720268,
-0.010604544542729855,
0.0049311500042676926,
0.029969045892357826,
0.012397689744830132,
0.022649485617876053,
0.0005305028171278536,
0.019371850416064262,
0.01415409054607153,
0.013904226012527943,
-0.017446422949433327,
0.02964569255709648,
0.03427553549408913,
-0.01804903708398342,
0.052295178174972534,
-0.08324898034334183,
0.05544053018093109,
0.03113018162548542,
-0.0003869685169775039,
-0.06514115631580353,
-0.005713813938200474,
0.013470637612044811,
-0.0007192791672423482,
-0.05935017392039299,
-0.0867764800786972,
-0.0012980095343664289,
0.03665659576654434,
-0.03718572109937668,
-0.02607409842312336,
0.037803035229444504,
0.026897182688117027,
0.03433432802557945,
-0.014668517746031284,
0.029028380289673805,
-0.002039335435256362,
-0.03786182403564453,
-0.0013319983845576644,
-0.047062721103429794,
0.014132044278085232,
-0.05514657124876976,
0.005960003938525915,
0.020797546952962875,
-0.06831590086221695,
0.07443023473024368,
-0.04124234616756439,
-0.023149214684963226,
0.02842576429247856,
0.016887903213500977,
0.04356461763381958,
-0.025177525356411934,
0.001591967768035829,
-0.005816699471324682,
0.02636805735528469,
-0.0648471936583519,
0.038743700832128525,
0.0214148610830307,
-0.035363178700208664,
0.013992413878440857,
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0.007477563805878162,
-0.020062651485204697,
0.015947235748171806,
-0.004093369003385305,
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0.020150840282440186,
-0.0026658340357244015,
0.0053941342048347,
0.008811399340629578,
-0.03965497016906738,
0.025956515222787857,
-0.02047419361770153,
-0.008495394140481949,
-0.0037589913699775934,
-0.00011385141988284886,
-0.06784556806087494,
0.03665659576654434,
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0.01637347601354122,
-0.03177689015865326,
0.07143186032772064,
0.045651718974113464,
0.025397995486855507,
0.024545514956116676,
-0.044622864574193954,
-0.007811941206455231,
0.006338475272059441,
0.004207277670502663,
-0.060437820851802826,
0.011706888675689697,
0.07078514993190765,
0.013580872677266598,
-0.022384922951459885,
0.03139474242925644,
-0.04741546884179115,
-0.03503982722759247,
0.002166104968637228,
0.02216445468366146,
0.03436372056603432,
-0.06255432218313217,
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-0.02354605682194233,
0.008194087073206902,
0.047709427773952484,
0.006389917805790901,
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-0.08671768754720688,
0.016505757346749306,
-0.0030865618027746677,
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-0.008958378806710243,
0.03271755576133728,
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0.03598049283027649,
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0.02570665068924427,
0.06349498778581619,
0.0171083714812994,
-0.015212340280413628,
-0.05185423791408539,
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0.026515036821365356,
-0.03750907629728317,
0.025853630155324936,
-0.05047263577580452,
0.029028380289673805,
-0.03262936696410179,
-0.0027466726023703814,
0.027896640822291374,
-0.0026290894020348787,
0.0009434223175048828,
0.04541655257344246,
0.07049119472503662,
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1206_9 | where X is the energy level corresponding to the principal quantum number ; type is a lower-case letter denoting the shape or subshell of the orbital, corresponding to the angular momentum quantum number .
For example, the orbital 1s (pronounced as the individual numbers and letters: "'one' 'ess'") is the lowest energy level () and has an angular quantum number of , denoted as s. Orbitals with are denoted as p, d and f respectively.
The set of orbitals for a given n and is called a subshell, denoted
.
The exponent y shows the number of electrons in the subshell. For example, the notation 2p4 indicates that the 2p subshell of an atom contains 4 electrons. This subshell has 3 orbitals, each with n = 2 and = 1.
X-ray notation
There is also another, less common system still used in X-ray science known as X-ray notation, which is a continuation of the notations used before orbital theory was well understood. In this system, the principal quantum number is given a letter associated with it. For , the letters associated with those numbers are K, L, M, N, O, ... respectively.
Hydrogen-like orbitals
The simplest atomic orbitals are those that are calculated for systems with a single electron, such as the hydrogen atom. An atom of any other element ionized down to a single electron is very similar to hydrogen, and the orbitals take the same form. In the Schrödinger equation for this system of one negative and one positive particle, the atomic orbitals are the eigenstates of the Hamiltonian operator for the energy. They can be obtained analytically, meaning that the resulting orbitals are products of a polynomial series, and exponential and trigonometric functions. (see hydrogen atom).
For atoms with two or more electrons, the governing equations can only be solved with the use of methods of iterative approximation. Orbitals of multi-electron atoms are qualitatively similar to those of hydrogen, and in the simplest models, they are taken to have the same form. For more rigorous and precise analysis, numerical approximations must be used. | [
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1206_10 | A given (hydrogen-like) atomic orbital is identified by unique values of three quantum numbers: , , and . The rules restricting the values of the quantum numbers, and their energies (see below), explain the electron configuration of the atoms and the periodic table.
The stationary states (quantum states) of the hydrogen-like atoms are its atomic orbitals. However, in general, an electron's behavior is not fully described by a single orbital. Electron states are best represented by time-depending "mixtures" (linear combinations) of multiple orbitals. See Linear combination of atomic orbitals molecular orbital method.
The quantum number first appeared in the Bohr model where it determines the radius of each circular electron orbit. In modern quantum mechanics however, determines the mean distance of the electron from the nucleus; all electrons with the same value of n lie at the same average distance. For this reason, orbitals with the same value of n are said to comprise a "shell". Orbitals with the same value of n and also the same value of are even more closely related, and are said to comprise a "subshell".
Quantum numbers
Because of the quantum mechanical nature of the electrons around a nucleus, atomic orbitals can be uniquely defined by a set of integers known as quantum numbers. These quantum numbers only occur in certain combinations of values, and their physical interpretation changes depending on whether real or complex versions of the atomic orbitals are employed.
Complex orbitals
In physics, the most common orbital descriptions are based on the solutions to the hydrogen atom, where orbitals are given by the product between a radial function and a pure spherical harmonic. The quantum numbers, together with the rules governing their possible values, are as follows:
The principal quantum number describes the energy of the electron and is always a positive integer. In fact, it can be any positive integer, but for reasons discussed below, large numbers are seldom encountered. Each atom has, in general, many orbitals associated with each value of n; these orbitals together are sometimes called electron shells. | [
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] |
1206_11 | The azimuthal quantum number describes the orbital angular momentum of each electron and is a non-negative integer. Within a shell where is some integer , ranges across all (integer) values satisfying the relation . For instance, the shell has only orbitals with , and the shell has only orbitals with , and . The set of orbitals associated with a particular value of are sometimes collectively called a subshell.
The magnetic quantum number, , describes the magnetic moment of an electron in an arbitrary direction, and is also always an integer. Within a subshell where is some integer , ranges thus: .
The above results may be summarized in the following table. Each cell represents a subshell, and lists the values of available in that subshell. Empty cells represent subshells that do not exist.
Subshells are usually identified by their - and -values. is represented by its numerical value, but is represented by a letter as follows: 0 is represented by 's', 1 by 'p', 2 by 'd', 3 by 'f', and 4 by 'g'. For instance, one may speak of the subshell with and as a '2s subshell'.
Each electron also has a spin quantum number, s, which describes the spin of each electron (spin up or spin down). The number s can be + or −.
The Pauli exclusion principle states that no two electrons in an atom can have the same values of all four quantum numbers. If there are two electrons in an orbital with given values for three quantum numbers, (, , ), these two electrons must differ in their spin.
The above conventions imply a preferred axis (for example, the z direction in Cartesian coordinates), and they also imply a preferred direction along this preferred axis. Otherwise there would be no sense in distinguishing from . As such, the model is most useful when applied to physical systems that share these symmetries. The Stern–Gerlach experiment — where an atom is exposed to a magnetic field — provides one such example.
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1206_12 | Real orbitals
In addition to the complex orbitals described above, it is common, especially in the chemistry literature, to utilize real atomic orbitals. These real orbitals arise from simple linear combinations of the complex orbitals. Using the Condon-Shortley phase convention, the real atomic orbitals are related to the complex atomic orbitals in the same way that the real spherical harmonics are related to the complex spherical harmonics. Letting denote a complex atomic orbital with quantum numbers , , and , we define the real atomic orbitals by
If , with the radial part of the orbital, this definition is equivalent to where is the real spherical harmonic related to either the real or imaginary part of the complex spherical harmonic .
Real spherical harmonics are physically relevant when an atom is embedded in a crystalline solid, in which case there are multiple preferred symmetry axes but no single preferred direction . Real atomic orbitals are also more frequently encountered in introductory chemistry textbooks and shown in common orbital visualizations. In the real hydrogen-like orbitals, the quantum numbers and have the same interpretation and significance as their complex counterparts, but is no longer a good quantum number (though its absolute value is).
Some real atomic orbitals are given specific names beyond the simple designation. Orbitals with quantum number equal to are referred to as orbitals. With this it already possible to assigns names to complex orbitals such as where the first symbol is the quantum number, the second number is the symbol for that particular quantum number and the subscript is the quantum number.
As an example of how the full orbital names are generated for real orbitals, we may calculate . From the table of spherical harmonics, we have that with . We then have
Likewise we have . As a more complicated example, we also have
In all of these cases we generate a Cartesian label for the orbital by examining, and abbreviating, the polynomial in , , and appearing in the numerator. We ignore any terms in the polynomial except for the term with the highest exponent in .
We then use the abbreviated polynomial as a subscript label for the atomic state, using the same nomenclature as above to indicate the and quantum numbers. | [
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] |
1206_13 | Note that the expression above all use the Condon-Shortley phase convention which is favored by quantum physicists. Other conventions for the phase of the spherical harmonics exists. Under these different conventions the and orbitals may appear, for example, as the sum and difference of and , contrary to what is shown above.
Below is a tabulation of these Cartesian polynomial names for the atomic orbitals. Note that there does not seem to be reference in the literature as to how to abbreviate the lengthy Cartesian spherical harmonic polynomials for so there does not seem be consensus as to the naming of orbitals or higher according to this nomenclature.
Shapes of orbitals
Simple pictures showing orbital shapes are intended to describe the angular forms of regions in space where the electrons occupying the orbital are likely to be found. The diagrams cannot show the entire region where an electron can be found, since according to quantum mechanics there is a non-zero probability of finding the electron (almost) anywhere in space. Instead the diagrams are approximate representations of boundary or contour surfaces where the probability density has a constant value, chosen so that there is a certain probability (for example 90%) of finding the electron within the contour. Although as the square of an absolute value is everywhere non-negative, the sign of the wave function is often indicated in each subregion of the orbital picture.
Sometimes the function will be graphed to show its phases, rather than the which shows probability density but has no phases (which have been lost in the process of taking the absolute value, since is a complex number). orbital graphs tend to have less spherical, thinner lobes than graphs, but have the same number of lobes in the same places, and otherwise are recognizable. This article, in order to show wave function phases, shows mostly graphs. | [
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