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Cyclotron

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A particle accelerator is a machine that uses electromagnetic fields to propel charged particles to very high speeds and energies to contain them in well-defined beams . Small accelerators are used for fundamental research in particle physics . Accelerators are also used as synchrotron light sources for the study of condensed matter physics . Smaller particle accelerators are used in a wide variety of applications, including particle therapy for oncological purposes, radioisotope production for medical diagnostics, ion implanters for the manufacture of semiconductors , and accelerator mass spectrometers for measurements of rare isotopes such as radiocarbon .

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180-483: A cyclotron is a type of particle accelerator invented by Ernest Lawrence in 1929–1930 at the University of California, Berkeley , and patented in 1932. A cyclotron accelerates charged particles outwards from the center of a flat cylindrical vacuum chamber along a spiral path. The particles are held to a spiral trajectory by a static magnetic field and accelerated by a rapidly varying electric field . Lawrence

360-655: A famine between 1930 and 1933 that killed millions. The Soviet forced labour camp system of the Gulag was expanded. During the late 1930s, Stalin's government conducted the Great Purge to remove opponents, resulting in mass death, imprisonment, and deportation. In 1939, the USSR and Nazi Germany signed a nonaggression pact , but in 1941, Germany invaded the Soviet Union in the largest land invasion in history, opening

540-411: A klystron and a complex bending magnet arrangement which produces a beam of energy 6–30  MeV . The electrons can be used directly or they can be collided with a target to produce a beam of X-rays . The reliability, flexibility and accuracy of the radiation beam produced has largely supplanted the older use of cobalt-60 therapy as a treatment tool. In the circular accelerator, particles move in

720-537: A "pulsed" mode, further decreasing the available total beam. As such, they were quickly overtaken in popularity by isochronous cyclotrons. The first isochronous cyclotron (other than classified prototypes) was built by F. Heyn and K.T. Khoe in Delft, the Netherlands, in 1956. Early isochronous cyclotrons were limited to energies of ~50 MeV per nucleon, but as manufacturing and design techniques gradually improved,

900-403: A 3 km long waveguide, buried in a tunnel and powered by hundreds of large klystrons . It is still the largest linear accelerator in existence, and has been upgraded with the addition of storage rings and an electron-positron collider facility. It is also an X-ray and UV synchrotron photon source. Soviet Union The Union of Soviet Socialist Republics ( USSR ), commonly known as

1080-402: A circle until they reach enough energy. The particle track is typically bent into a circle using electromagnets . The advantage of circular accelerators over linear accelerators ( linacs ) is that the ring topology allows continuous acceleration, as the particle can transit indefinitely. Another advantage is that a circular accelerator is smaller than a linear accelerator of comparable power (i.e.

1260-541: A closer relationship with France and Britain. In 1939, half a year after the Munich Agreement , the USSR attempted to form an anti-Nazi alliance with France and Britain. Adolf Hitler proposed a better deal, which would give the USSR control over much of Eastern Europe through the Molotov–Ribbentrop Pact . In September, Germany invaded Poland, and the USSR also invaded later that month, resulting in

1440-422: A consequence, half-way through the process the phase difference escapes the 0–180° range, the acceleration turns into deceleration, and the particle fails to reach the target energy. Grouping of the particles into correctly synchronized bunches before their injection into the cyclotron thus greatly increases the injection efficiency. In the non-relativistic approximation, the cyclotron frequency does not depend upon

1620-553: A constant frequency by a RF accelerating power source, as the beam spirals outwards continuously. The particles are injected in the center of the magnet and are extracted at the outer edge at their maximum energy. Cyclotrons reach an energy limit because of relativistic effects whereby the particles effectively become more massive, so that their cyclotron frequency drops out of sync with the accelerating RF. Therefore, simple cyclotrons can accelerate protons only to an energy of around 15 million electron volts (15 MeV, corresponding to

1800-587: A drift tube accelerator. He published a paper in Science in 1930 (the first published description of the cyclotron concept), after a student of his built a crude model in April of that year. He patented the device in 1932. To construct the first such device, Lawrence used large electromagnets recycled from obsolete arc converters provided by the Federal Telegraph Company . He was assisted by

1980-759: A function of particle orbit radius such that: Particle accelerator Large accelerators include the Relativistic Heavy Ion Collider at Brookhaven National Laboratory in New York and the largest accelerator, the Large Hadron Collider near Geneva, Switzerland, operated by CERN . It is a collider accelerator, which can accelerate two beams of protons to an energy of 6.5  TeV and cause them to collide head-on, creating center-of-mass energies of 13 TeV. There are more than 30,000 accelerators in operation around

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2160-481: A gap only provides an acceleration in the forward direction for a portion of its cycle, particles in RF accelerators travel in bunches, rather than a continuous stream. In a linear particle accelerator , in order for a bunch to "see" a forward voltage every time it crosses a gap, the gaps must be placed further and further apart, in order to compensate for the increasing speed of the particle. A cyclotron, by contrast, uses

2340-484: A gap. The force on a particle crossing this gap is given by the Lorentz force law : F = q [ E + ( v × B ) ] {\displaystyle \mathbf {F} =q[\mathbf {E} +(\mathbf {v} \times \mathbf {B} )]} where q is the charge on the particle, E is the electric field , v is the particle velocity , and B is the magnetic flux density . It

2520-432: A given machine. While the trajectory followed by a particle in the cyclotron is conventionally referred to as a "spiral", it is more accurately described as a series of arcs of constant radius. The particle speed, and therefore orbital radius, only increases at the accelerating gaps. Away from those regions, the particle will orbit (to a first approximation) at a fixed radius. Assuming a uniform energy gain per orbit (which

2700-637: A graduate student, M. Stanley Livingston . Their first working cyclotron became operational in January 1931. This machine had a diameter of 4.5 inches (11 cm), and accelerated protons to an energy up to 80  keV . At the Radiation Laboratory on the campus of the University of California, Berkeley (now the Lawrence Berkeley National Laboratory ), Lawrence and his collaborators went on to construct

2880-519: A greater union which he initially named as the Union of Soviet Republics of Europe and Asia (Russian: Союз Советских Республик Европы и Азии , romanized : Soyuz Sovyetskikh Respublik Evropy i Azii ). Joseph Stalin initially resisted Lenin's proposal but ultimately accepted it, and with Lenin's agreement he changed the name to the Union of Soviet Socialist Republics (USSR), although all republics began as socialist soviet and did not change to

3060-696: A hole in the plate, the polarity is switched so that the plate now repels them and they are now accelerated by it towards the next plate. Normally a stream of "bunches" of particles are accelerated, so a carefully controlled AC voltage is applied to each plate to continuously repeat this process for each bunch. As the particles approach the speed of light the switching rate of the electric fields becomes so high that they operate at radio frequencies , and so microwave cavities are used in higher energy machines instead of simple plates. Linear accelerators are also widely used in medicine , for radiotherapy and radiosurgery . Medical grade linacs accelerate electrons using

3240-427: A linac would have to be extremely long to have the equivalent power of a circular accelerator). Depending on the energy and the particle being accelerated, circular accelerators suffer a disadvantage in that the particles emit synchrotron radiation . When any charged particle is accelerated, it emits electromagnetic radiation and secondary emissions . As a particle traveling in a circle is always accelerating towards

3420-399: A magnetic field to bend the particle trajectories into a spiral, thus allowing the same gap to be used many times to accelerate a single bunch. As the bunch spirals outward, the increasing distance between transits of the gap is exactly balanced by the increase in speed, so a bunch will reach the gap at the same point in the RF cycle every time. The frequency at which a particle will orbit in

3600-514: A magnetic field which is fixed in time, but with a radial variation to achieve strong focusing , allows the beam to be accelerated with a high repetition rate but in a much smaller radial spread than in the cyclotron case. Isochronous FFAs, like isochronous cyclotrons, achieve continuous beam operation, but without the need for a huge dipole bending magnet covering the entire radius of the orbits. Some new developments in FFAs are covered in. A Rhodotron

3780-597: A new profitable market. In the late 1920s and early 1930s, Stalin ordered Marxist-Leninist parties across the world to strongly oppose non-Marxist political parties, labour unions or other organizations on the left, which they labelled social fascists . In the usage of the Soviet Union, and of the Comintern and its affiliated parties in this period, the epithet fascist was used to describe capitalist society in general and virtually any anti-Soviet or anti-Stalinist activity or opinion. Stalin reversed himself in 1934 with

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3960-519: A particle and an atomic nucleus. Beams of high-energy particles are useful for fundamental and applied research in the sciences and also in many technical and industrial fields unrelated to fundamental research. There are approximately 30,000 accelerators worldwide; of these, only about 1% are research machines with energies above 1 GeV , while about 44% are for radiotherapy , 41% for ion implantation , 9% for industrial processing and research, and 4% for biomedical and other low-energy research. For

4140-452: A particle and the RF field is expressed by phase difference between the RF field and the particle. In the first harmonic mode (i.e. particles make one revolution per RF cycle) it is the difference between the instantaneous phase of the RF field and the instantaneous azimuth of the particle. Fastest acceleration is achieved when the phase difference equals 90° ( modulo 360°). Poor synchronization, i.e. phase difference far from this value, leads to

4320-500: A particle moving in a static magnetic field is then given by: r = γ β m 0 c q B = γ m 0 v q B = m 0 q B v − 2 − c − 2 {\displaystyle r={\frac {\gamma \beta m_{0}c}{qB}}={\frac {\gamma m_{0}v}{qB}}={\frac {m_{0}}{qB{\sqrt {v^{-2}-c^{-2}}}}}} Expressing

4500-399: A perpendicular magnetic field is known as the cyclotron frequency , and depends, in the non-relativistic case, solely on the charge and mass of the particle, and the strength of the magnetic field: f = q B 2 π m {\displaystyle f={\frac {qB}{2\pi m}}} where f is the (linear) frequency, q is the charge of the particle, B

4680-432: A reactor to produce tritium . An example of this type of machine is LANSCE at Los Alamos National Laboratory . Electrons propagating through a magnetic field emit very bright and coherent photon beams via synchrotron radiation . It has numerous uses in the study of atomic structure, chemistry, condensed matter physics, biology, and technology. A large number of synchrotron light sources exist worldwide. Examples in

4860-480: A series of cyclotrons which were the most powerful accelerators in the world at the time; a 27 in (69 cm) 4.8 MeV machine (1932), a 37 in (94 cm) 8 MeV machine (1937), and a 60 in (152 cm) 16 MeV machine (1939). Lawrence received the 1939 Nobel Prize in Physics for the invention and development of the cyclotron and for results obtained with it. The first European cyclotron

5040-426: A shorter distance in each orbit than they would in a classical cyclotron, thus remaining in phase with the accelerating field. The advantage of the isochronous cyclotron is that it can deliver continuous beams of higher average intensity, which is useful for some applications. The main disadvantages are the size and cost of the large magnet needed, and the difficulty in achieving the high magnetic field values required at

5220-904: A special class of light sources based on synchrotron radiation that provides shorter pulses with higher temporal coherence . A specially designed FEL is the most brilliant source of x-rays in the observable universe. The most prominent examples are the LCLS in the U.S. and European XFEL in Germany. More attention is being drawn towards soft x-ray lasers, which together with pulse shortening opens up new methods for attosecond science . Apart from x-rays, FELs are used to emit terahertz light , e.g. FELIX in Nijmegen, Netherlands, TELBE in Dresden, Germany and NovoFEL in Novosibirsk, Russia. Thus there

5400-474: A speed of roughly 10% of c ), because the protons get out of phase with the driving electric field. If accelerated further, the beam would continue to spiral outward to a larger radius but the particles would no longer gain enough speed to complete the larger circle in step with the accelerating RF. To accommodate relativistic effects the magnetic field needs to be increased to higher radii as is done in isochronous cyclotrons . An example of an isochronous cyclotron

5580-631: A status that is retained by the Russian Federation . Covering a sixth of Earth's land surface, its size was comparable to that of North America . Two other successor states, Kazakhstan and Ukraine , rank among the top 10 countries by land area, and the largest country entirely in Europe, respectively. The European portion accounted for a quarter of the country's area and was the cultural and economic center. The eastern part in Asia extended to

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5760-649: A straight line, or circular , using magnetic fields to bend particles in a roughly circular orbit. Magnetic induction accelerators accelerate particles by induction from an increasing magnetic field, as if the particles were the secondary winding in a transformer. The increasing magnetic field creates a circulating electric field which can be configured to accelerate the particles. Induction accelerators can be either linear or circular. Linear induction accelerators utilize ferrite-loaded, non-resonant induction cavities. Each cavity can be thought of as two large washer-shaped disks connected by an outer cylindrical tube. Between

5940-416: A student at Kiel, German physicist Max Steenbeck was the first to formulate the concept of the cyclotron, but he was discouraged from pursuing the idea further. In late 1928 and early 1929, Hungarian physicist Leo Szilárd filed patent applications in Germany for the linear accelerator , cyclotron, and betatron . In these applications, Szilárd became the first person to discuss the resonance condition (what

6120-452: A target or an external beam in beam "spills" typically every few seconds. Since high energy synchrotrons do most of their work on particles that are already traveling at nearly the speed of light c , the time to complete one orbit of the ring is nearly constant, as is the frequency of the RF cavity resonators used to drive the acceleration. In modern synchrotrons, the beam aperture is small and

6300-475: A union of equals, in practice the Soviet Union was dominated by Russians . The domination was so absolute that for most of its existence, the country was commonly (but incorrectly) referred to as 'Russia'. While the Russian SFSR was technically only one republic within the larger union, it was by far the largest (both in terms of population and area), most powerful, and most highly developed. The Russian SFSR

6480-402: Is 3 km (1.9 mi) long. SLAC was originally an electron – positron collider but is now a X-ray Free-electron laser . Linear high-energy accelerators use a linear array of plates (or drift tubes) to which an alternating high-energy field is applied. As the particles approach a plate they are accelerated towards it by an opposite polarity charge applied to the plate. As they pass through

6660-405: Is a circular magnetic induction accelerator, invented by Donald Kerst in 1940 for accelerating electrons . The concept originates ultimately from Norwegian-German scientist Rolf Widerøe . These machines, like synchrotrons, use a donut-shaped ring magnet (see below) with a cyclically increasing B field, but accelerate the particles by induction from the increasing magnetic field, as if they were

6840-413: Is a great demand for electron accelerators of moderate ( GeV ) energy, high intensity and high beam quality to drive light sources. Everyday examples of particle accelerators are cathode ray tubes found in television sets and X-ray generators. These low-energy accelerators use a single pair of electrodes with a DC voltage of a few thousand volts between them. In an X-ray generator, the target itself

7020-509: Is an industrial electron accelerator first proposed in 1987 by J. Pottier of the French Atomic Energy Agency (CEA) , manufactured by Belgian company Ion Beam Applications . It accelerates electrons by recirculating them across the diameter of a cylinder-shaped radiofrequency cavity. A Rhodotron has an electron gun, which emits an electron beam that is attracted to a pillar in the center of the cavity. The pillar has holes

7200-422: Is commonly used for sterilization. Electron beams are an on-off technology that provide a much higher dose rate than gamma or X-rays emitted by radioisotopes like cobalt-60 ( Co) or caesium-137 ( Cs). Due to the higher dose rate, less exposure time is required and polymer degradation is reduced. Because electrons carry a charge, electron beams are less penetrating than both gamma and X-rays. Historically,

7380-573: Is derived from the Russian word sovet (Russian: совет ), meaning 'council', 'assembly', 'advice', ultimately deriving from the proto-Slavic verbal stem of * vět-iti ('to inform'), related to Slavic věst ('news'), English wise . The word sovietnik means 'councillor'. Some organizations in Russian history were called council (Russian: совет ). In the Russian Empire ,

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7560-404: Is determined by the accelerating voltage , which is limited by electrical breakdown . Electrodynamic or electromagnetic accelerators, on the other hand, use changing electromagnetic fields (either magnetic induction or oscillating radio frequency fields) to accelerate particles. Since in these types the particles can pass through the same accelerating field multiple times, the output energy

7740-429: Is given by: T A = ( e B r max ) 2 2 m a ( Q A ) 2 = K ( Q A ) 2 {\displaystyle {\frac {T}{A}}={\frac {(eBr_{\max })^{2}}{2m_{a}}}\left({\frac {Q}{A}}\right)^{2}=K\left({\frac {Q}{A}}\right)^{2}} where e {\displaystyle e}

7920-655: Is his background, his education , his profession . These are the questions that will determine the fate of the accused. That is the meaning and essence of the Red Terror ." During his rule, Stalin always made the final policy decisions. Otherwise, Soviet foreign policy was set by the commission on the Foreign Policy of the Central Committee of the Communist Party of the Soviet Union , or by

8100-560: Is more often used for accelerators that employ oscillating rather than static electric fields. Due to the high voltage ceiling imposed by electrical discharge, in order to accelerate particles to higher energies, techniques involving dynamic fields rather than static fields are used. Electrodynamic acceleration can arise from either of two mechanisms: non-resonant magnetic induction , or resonant circuits or cavities excited by oscillating radio frequency (RF) fields. Electrodynamic accelerators can be linear , with particles accelerating in

8280-399: Is not limited by the strength of the accelerating field. This class, which was first developed in the 1920s, is the basis for most modern large-scale accelerators. Rolf Widerøe , Gustav Ising , Leó Szilárd , Max Steenbeck , and Ernest Lawrence are considered pioneers of this field, having conceived and built the first operational linear particle accelerator , the betatron , as well as

8460-525: Is not possible to accelerate particles using only a static magnetic field, as the magnetic force always acts perpendicularly to the direction of motion, and therefore can only change the direction of the particle, not the speed. In practice, the magnitude of an unchanging electric field which can be applied across a gap is limited by the need to avoid electrostatic breakdown . As such, modern particle accelerators use alternating ( radio frequency ) electric fields for acceleration. Since an alternating field across

8640-400: Is now called the cyclotron frequency) for a circular accelerating apparatus. However, neither Steenbeck's ideas nor Szilard's patent applications were ever published and therefore did not contribute to the development of the cyclotron. Several months later, in the early summer of 1929, Ernest Lawrence independently conceived the cyclotron concept after reading a paper by Rolf Widerøe describing

8820-571: Is one of the electrodes. A low-energy particle accelerator called an ion implanter is used in the manufacture of integrated circuits . At lower energies, beams of accelerated nuclei are also used in medicine as particle therapy , for the treatment of cancer. DC accelerator types capable of accelerating particles to speeds sufficient to cause nuclear reactions are Cockcroft–Walton generators or voltage multipliers , which convert AC to high voltage DC, or Van de Graaff generators that use static electricity carried by belts. Electron beam processing

9000-599: Is only valid in the non-relativistic case), the average orbit may be approximated by a simple spiral. If the energy gain per turn is given by Δ E , the particle energy after n turns will be: E ( n ) = n Δ E {\displaystyle E(n)=n\Delta E} Combining this with the non-relativistic equation for the kinetic energy of a particle in a cyclotron gives: r ( n ) = 2 m Δ E q B n {\displaystyle r(n)={{\sqrt {2m\Delta E}} \over qB}{\sqrt {n}}} This

9180-402: Is still extremely popular today, with the electrostatic accelerators greatly out-numbering any other type, they are more suited to lower energy studies owing to the practical voltage limit of about 1 MV for air insulated machines, or 30 MV when the accelerator is operated in a tank of pressurized gas with high dielectric strength , such as sulfur hexafluoride . In a tandem accelerator

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9360-410: Is that the curvature of the particle trajectory is proportional to the particle charge and to the magnetic field, but inversely proportional to the (typically relativistic ) momentum . The earliest operational circular accelerators were cyclotrons , invented in 1929 by Ernest Lawrence at the University of California, Berkeley . Cyclotrons have a single pair of hollow D-shaped plates to accelerate

9540-682: Is that the magnetic field need only be present over the actual region of the particle orbits, which is much narrower than that of the ring. (The largest cyclotron built in the US had a 184-inch-diameter (4.7 m) magnet pole, whereas the diameter of synchrotrons such as the LEP and LHC is nearly 10 km. The aperture of the two beams of the LHC is of the order of a centimeter.) The LHC contains 16 RF cavities, 1232 superconducting dipole magnets for beam steering, and 24 quadrupoles for beam focusing. Even at this size,

9720-604: Is the PSI Ring cyclotron in Switzerland, which provides protons at the energy of 590 MeV which corresponds to roughly 80% of the speed of light. The advantage of such a cyclotron is the maximum achievable extracted proton current which is currently 2.2 mA. The energy and current correspond to 1.3 MW beam power which is the highest of any accelerator currently existing. A classic cyclotron can be modified to increase its energy limit. The historically first approach

9900-415: Is the Relativistic Heavy Ion Collider (RHIC) at Brookhaven National Laboratory . Particle accelerators can also produce proton beams, which can produce proton-rich medical or research isotopes as opposed to the neutron-rich ones made in fission reactors ; however, recent work has shown how to make Mo , usually made in reactors, by accelerating isotopes of hydrogen, although this method still requires

10080-509: Is the atomic mass of the beam particles. The value of K K = ( e B r max ) 2 2 m a {\displaystyle K={\frac {(eBr_{\max })^{2}}{2m_{a}}}} is known as the "K-factor", and is used to characterize the maximum kinetic beam energy of protons (quoted in MeV). It represents the theoretical maximum energy of protons (with Q and A equal to 1) accelerated in

10260-420: Is the elementary charge, B {\displaystyle B} is the strength of the magnet, r max {\displaystyle r_{\max }} is the maximum radius of the beam, m a {\displaystyle m_{a}} is an atomic mass unit , Q {\displaystyle Q} is the charge of the beam particles, and A {\displaystyle A}

10440-460: Is the equation of a Fermat spiral . As a particle bunch travels around a cyclotron, two effects tend to make its particles spread out. The first is simply the particles injected from the ion source having some initial spread of positions and velocities. This spread tends to get amplified over time, making the particles move away from the bunch center. The second is the mutual repulsion of the beam particles due to their electrostatic charges. Keeping

10620-408: Is the magnitude of the magnetic field that is perpendicular to the plane in which the particle is travelling, and m is the particle mass. The property that the frequency is independent of particle velocity is what allows a single, fixed gap to be used to accelerate a particle travelling in a spiral. Each time a particle crosses the accelerating gap in a cyclotron, it is given an accelerating force by

10800-415: Is the radius at which the energy is to be determined. The limit on the beam energy which can be produced by a given cyclotron thus depends on the maximum radius which can be reached by the magnetic field and the accelerating structures, and on the maximum strength of the magnetic field which can be achieved. In the nonrelativistic approximation, the maximum kinetic energy per atomic mass for a given cyclotron

10980-520: The Council of People's Commissars ), headed by the Chairman (Premier) and managing an enormous bureaucracy responsible for the administration of the economy and society. State and party structures of the constituent republics largely emulated the structure of the central institutions, although the Russian SFSR, unlike the other constituent republics, for most of its history had no republican branch of

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11160-946: The Diamond Light Source which has been built at the Rutherford Appleton Laboratory in England or the Advanced Photon Source at Argonne National Laboratory in Illinois , USA. High-energy X-rays are useful for X-ray spectroscopy of proteins or X-ray absorption fine structure (XAFS), for example. Synchrotron radiation is more powerfully emitted by lighter particles, so these accelerators are invariably electron accelerators. Synchrotron radiation allows for better imaging as researched and developed at SLAC's SPEAR . Fixed-Field Alternating Gradient accelerators (FFA)s , in which

11340-606: The Eastern Front of World War II . The Soviets played a decisive role in defeating the Axis powers , suffering an estimated 27 million casualties , which accounted for most Allied losses. In the aftermath of the war , the Soviet Union consolidated the territory occupied by the Red Army , forming satellite states , and undertook rapid economic development which cemented its status as a superpower . Geopolitical tensions with

11520-687: The Kaiser Wilhelm Institute in Berlin, and was also used by Rudolf Fleischmann . It was the first cyclotron with a Greinacher multiplier to increase the voltage to 2.8 MV and 3 mA current. A second cyclotron was built in Heidelberg under the supervision of Walther Bothe and Wolfgang Gentner , with support from the Heereswaffenamt , and became operative in 1943. By the late 1930s it had become clear that there

11700-755: The Land Forces , the Air Force , the Navy , Joint State Political Directorate (OGPU) and the Internal Troops . The OGPU later became independent and in 1934 joined the NKVD secret police, and so its internal troops were under the joint leadership of the defense and internal commissariats. After World War II, Strategic Missile Forces (1959), Air Defense Forces (1948) and National Civil Defense Forces (1970) were formed, which ranked first, third, and sixth in

11880-528: The Moscow State Institute of International Relations . The Marxist-Leninist leadership of the Soviet Union intensely debated foreign policy issues and changed directions several times. Even after Stalin assumed dictatorial control in the late 1920s, there were debates, and he frequently changed positions. During the country's early period, it was assumed that Communist revolutions would break out soon in every major industrial country, and it

12060-657: The Pacific Ocean to the east and Afghanistan to the south, and, except some areas in Central Asia , was much less populous. It spanned over 10,000 kilometres (6,200 mi) east to west across 11 time zones , and over 7,200 kilometres (4,500 mi) north to south. It had five climate zones: tundra , taiga , steppes , desert and mountains . The USSR, like Russia , had the world's longest border , measuring over 60,000 kilometres (37,000 mi), or 1 + 1 ⁄ 2 circumferences of Earth. Two-thirds of it

12240-790: The Popular Front program that called on all Marxist parties to join with all anti-Fascist political, labour, and organizational forces that were opposed to fascism , especially of the Nazi variety. The rapid growth of power in Nazi Germany encouraged both Paris and Moscow to form a military alliance, and the Franco-Soviet Treaty of Mutual Assistance was signed in May 1935. A firm believer in collective security, Stalin's foreign minister Maxim Litvinov worked very hard to form

12420-464: The Soviet Union , was a transcontinental country that spanned much of Eurasia from 1922 to 1991. During its existence, it was the largest country by area , extending across eleven time zones and sharing borders with twelve countries , and the third-most populous country . An overall successor to the Russian Empire , it was nominally organized as a federal union of national republics ,

12600-581: The Soviet republics , and the control of the Communist Party weakened. The failed coup attempt in August 1991 against Gorbachev by hardline communists hastened the end of the Soviet Union , which formally dissolved on December 26, 1991, ending nearly seven decades of Soviet rule. With an area of 22,402,200 square kilometres (8,649,500 sq mi), the Soviet Union was the world's largest country,

12780-772: The State Council , which functioned from 1810 to 1917, was referred to as a Council of Ministers. The Soviets as workers' councils first appeared during the 1905 Russian Revolution . Although they were quickly suppressed by the Imperial army, after the February Revolution of 1917 , workers' and soldiers' Soviets emerged throughout the country and shared power with the Russian Provisional Government . The Bolsheviks, led by Vladimir Lenin , demanded that all power be transferred to

12960-635: The Universal Declaration of Human Rights (1948), saying that it was "overly juridical" and potentially infringed on national sovereignty. The Soviet Union later signed legally-binding human rights documents, such as the International Covenant on Civil and Political Rights in 1973 (and the 1966 International Covenant on Economic, Social and Cultural Rights ), but they were neither widely known or accessible to people living under Communist rule, nor were they taken seriously by

13140-435: The cyclotron . Because the target of the particle beams of early accelerators was usually the atoms of a piece of matter, with the goal being to create collisions with their nuclei in order to investigate nuclear structure, accelerators were commonly referred to as atom smashers in the 20th century. The term persists despite the fact that many modern accelerators create collisions between two subatomic particles , rather than

13320-769: The largest arsenal of nuclear weapons in the world . As an Allied nation, it was a founding member of the United Nations as well as one of the five permanent members of the United Nations Security Council . Before its dissolution, the USSR was one of the world's two superpowers through its hegemony in Eastern Europe, global diplomatic and ideological influence (particularly in the Global South ), military and economic strengths, and scientific accomplishments. The word soviet

13500-538: The right to food , the right to work , and the right to education . The Soviet conception of human rights was very different from international law . According to Soviet legal theory , "it is the government who is the beneficiary of human rights which are to be asserted against the individual". The Soviet state was considered as the source of human rights. Therefore, the Soviet legal system considered law an arm of politics and it also considered courts agencies of

13680-703: The 1920s, it refused to rubber stamp proposals from the party and Council of Ministers. In 1990, Gorbachev introduced and assumed the position of the President of the Soviet Union , concentrated power in his executive office, independent of the party, and subordinated the government, now renamed the Cabinet of Ministers of the USSR , to himself. Tensions grew between the Union-wide authorities under Gorbachev, reformists led in Russia by Boris Yeltsin and controlling

13860-482: The 1950s, the Soviet Union expanded its efforts in space exploration and took a lead in the Space Race with the first artificial satellite , the first human spaceflight , the first space station , and the first probe to land on another planet . In 1985, the last Soviet leader, Mikhail Gorbachev , sought to reform the country through his policies of glasnost and perestroika . In 1989, various countries of

14040-601: The 1990s, people in the West were also interested in the radioactive hazards of nuclear facilities, decommissioned nuclear submarines , and the processing of nuclear waste or spent nuclear fuel . It was also known in the early 1990s that the USSR had transported radioactive material to the Barents Sea and Kara Sea , which was later confirmed by the Russian parliament. The crash of the K-141 Kursk submarine in 2000 in

14220-526: The CPSU, being ruled directly by the union-wide party until 1990. Local authorities were organized likewise into party committees , local Soviets and executive committees . While the state system was nominally federal, the party was unitary. The state security police (the KGB and its predecessor agencies ) played an important role in Soviet politics. It was instrumental in the Red Terror and Great Purge , but

14400-529: The Communist authorities. Under Joseph Stalin , the death penalty was extended to adolescents as young as 12 years old in 1935. Sergei Kovalev recalled "the famous article 125 of the Constitution which enumerated all basic civil and political rights" in the Soviet Union. But when he and other prisoners attempted to use this as a legal basis for their abuse complaints, their prosecutor's argument

14580-484: The LHC is limited by its ability to steer the particles without them going adrift. This limit is theorized to occur at 14 TeV. However, since the particle momentum increases during acceleration, it is necessary to turn up the magnetic field B in proportion to maintain constant curvature of the orbit. In consequence, synchrotrons cannot accelerate particles continuously, as cyclotrons can, but must operate cyclically, supplying particles in bunches, which are delivered to

14760-538: The Politburo after the deaths of Lenin and Stalin, as well as after Khrushchev's dismissal, itself due to a decision by both the Politburo and the Central Committee. All leaders of the Communist Party before Gorbachev died in office, except Georgy Malenkov and Khrushchev, both dismissed from the party leadership amid internal struggle within the party. Between 1988 and 1990, facing considerable opposition, Mikhail Gorbachev enacted reforms shifting power away from

14940-736: The Russian Soviet Federative Socialist Republic (RSFSR), the world's first constitutionally socialist state . The revolution was not accepted by all within the Russian Republic , resulting in the Russian Civil War . The RSFSR and its subordinate republics were merged into the Soviet Union in 1922. Following Lenin's death in 1924, Joseph Stalin came to power, inaugurating rapid industrialization and forced collectivization that led to significant economic growth but contributed to

15120-475: The Russian name of the Soviet Union as СС has been taboo, the reason being that СС as a Russian Cyrillic abbreviation is associated with the infamous Schutzstaffel of Nazi Germany , as SS is in English. In English-language media, the state was referred to as the Soviet Union or the USSR. The Russian SFSR dominated the Soviet Union to such an extent that, for most of the Soviet Union's existence, it

15300-632: The Soviet Union and turned into SSRs, which was not recognized by most of the international community and was considered an illegal occupation . After the Soviet invasion of Finland , the Karelo-Finnish SSR was formed on annexed territory as a Union Republic in March 1940 and then incorporated into Russia as the Karelian ASSR in 1956. Between July 1956 and September 1991, there were 15 union republics (see map below). While nominally

15480-529: The Soviet Union . Boris Yeltsin , the leader of the RSFSR, oversaw its reconstitution into the Russian Federation , which became the Soviet Union's successor state; all other republics emerged as fully independent post-Soviet states . During its existence, the Soviet Union produced many significant social and technological achievements and innovations . It had the world's second-largest economy and largest standing military. An NPT-designated state , it wielded

15660-662: The Soviet Union's priorities changed. Despite previous conflict with the United Kingdom , Vyacheslav Molotov dropped his post war border demands. The Cold War was a period of geopolitical tension between the United States and the Soviet Union and their respective allies, the Western Bloc and the Eastern Bloc , which began following World War II in 1945. The term cold war is used because there

15840-541: The Soviet Union's superpower status, the economy struggled due to its centralized nature, technological backwardness, and inefficiencies. The vast military expenditures and burdens of maintaining the Eastern Bloc, further strained the Soviet economy. In the 1980s, Mikhail Gorbachev 's policies of Glasnost (openness) and Perestroika (restructuring) aimed to revitalize the Soviet system but instead accelerated its unraveling. Nationalist movements gained momentum across

16020-546: The Soviet authorities admitted. The Soviet Union was the world's second largest producer of harmful emissions. In 1988, total emissions in the Soviet Union were about 79% of those in the United States. But since the Soviet GNP was only 54% of that of the United States, this means that the Soviet Union generated 1.5 times more pollution than the United States per unit of GNP. The Soviet Chernobyl disaster in 1986

16200-825: The Soviets, and gained support from the workers and soldiers. After the October Revolution , in which the Bolsheviks seized power from the Provisional Government in the name of the Soviets, Lenin proclaimed the formation of the Russian Socialist Federal Soviet Republic (RSFSR). During the Georgian Affair of 1922, Lenin called for the Russian SFSR and other national Soviet republics to form

16380-536: The Supreme Soviet were members of the CPSU. Of the party heads themselves, Stalin (1941–1953) and Khrushchev (1958–1964) were Premiers. Upon the forced retirement of Khrushchev, the party leader was prohibited from this kind of double membership, but the later General Secretaries for at least some part of their tenure occupied the mostly ceremonial position of Chairman of the Presidium of the Supreme Soviet ,

16560-609: The Tevatron, LEP , and LHC may deliver the particle bunches into storage rings of magnets with a constant magnetic field, where they can continue to orbit for long periods for experimentation or further acceleration. The highest-energy machines such as the Tevatron and LHC are actually accelerator complexes, with a cascade of specialized elements in series, including linear accelerators for initial beam creation, one or more low energy synchrotrons to reach intermediate energy, storage rings where beams can be accumulated or "cooled" (reducing

16740-634: The U.S. are SSRL at SLAC National Accelerator Laboratory , APS at Argonne National Laboratory, ALS at Lawrence Berkeley National Laboratory , and NSLS-II at Brookhaven National Laboratory . In Europe, there are MAX IV in Lund, Sweden, BESSY in Berlin, Germany, Diamond in Oxfordshire, UK, ESRF in Grenoble , France, the latter has been used to extract detailed 3-dimensional images of insects trapped in amber. Free-electron lasers (FELs) are

16920-665: The US led to the Cold War . The American-led Western Bloc coalesced into NATO in 1949, prompting the Soviet Union to form its own military alliance, the Warsaw Pact , in 1955. Neither side engaged in direct military confrontation, and instead fought on an ideological basis and through proxy wars . In 1953, following Stalin's death , the Soviet Union undertook a campaign of de-Stalinization under Nikita Khrushchev , which saw reversals and rejections of Stalinist policies. This campaign caused tensions with Communist China . During

17100-430: The USSR. Moscow eventually stopped threatening other states, and instead worked to open peaceful relationships in terms of trade, and diplomatic recognition. The United Kingdom dismissed the warnings of Winston Churchill and a few others about a continuing Marxist-Leninist threat, and opened trade relations and de facto diplomatic recognition in 1922. There was hope for a settlement of the pre-war Tsarist debts, but it

17280-469: The Warsaw Pact overthrew their Soviet-backed regimes , and nationalist and separatist movements erupted across the Soviet Union. In 1991, amid efforts to preserve the country as a renewed federation , an attempted coup against Gorbachev by hardline communists prompted the largest republics—Ukraine, Russia, and Belarus—to secede. On December 26, Gorbachev officially recognized the dissolution of

17460-503: The accident, but this led to a relatively low number of deaths (WHO data, 2005). Another major radioactive accident was the Kyshtym disaster . The Kola Peninsula was one of the places with major problems. Around the industrial cities of Monchegorsk and Norilsk , where nickel , for example, is mined, all forests have been destroyed by contamination, while the northern and other parts of Russia have been affected by emissions. During

17640-494: The beam is handled independently by specialized quadrupole magnets , while the acceleration itself is accomplished in separate RF sections, rather similar to short linear accelerators. Also, there is no necessity that cyclic machines be circular, but rather the beam pipe may have straight sections between magnets where beams may collide, be cooled, etc. This has developed into an entire separate subject, called "beam physics" or "beam optics". More complex modern synchrotrons such as

17820-460: The center of the circle, it continuously radiates towards the tangent of the circle. This radiation is called synchrotron light and depends highly on the mass of the accelerating particle. For this reason, many high energy electron accelerators are linacs. Certain accelerators ( synchrotrons ) are however built specially for producing synchrotron light ( X-rays ). Since the special theory of relativity requires that matter always travels slower than

18000-399: The construction of "spiral-sector" cyclotrons allowed the acceleration and control of more powerful beams. Later developments included the use of more compact and power-efficient superconducting magnets and the separation of the magnets into discrete sectors, as opposed to a single large magnet. In a particle accelerator, charged particles are accelerated by applying an electric field across

18180-429: The country was limited. The state restricted rights of citizens to private property . According to the Universal Declaration of Human Rights , human rights are the "basic rights and freedoms to which all humans are entitled." including the right to life and liberty , freedom of expression , and equality before the law ; and social, cultural and economic rights, including the right to participate in culture ,

18360-716: The creation of new state commissions and committees. It gained additional powers relating to the approval of the Five-Year Plans and the government budget . The Supreme Soviet elected a Presidium (successor of the Central Executive Committee ) to wield its power between plenary sessions, ordinarily held twice a year, and appointed the Supreme Court , the Procurator General and the Council of Ministers (known before 1946 as

18540-458: The cyclotron frequency equation to yield: v = q B r m {\displaystyle v={\frac {qBr}{m}}} The kinetic energy for particles with speed v is therefore given by: E = 1 2 m v 2 = q 2 B 2 r 2 2 m {\displaystyle E={\frac {1}{2}}mv^{2}={\frac {q^{2}B^{2}r^{2}}{2m}}} where r

18720-532: The degree of power consolidation, it was either the Politburo as a collective body or the General Secretary, who always was one of the Politburo members, that effectively led the party and the country (except for the period of the highly personalized authority of Stalin, exercised directly through his position in the Council of Ministers rather than the Politburo after 1941). They were not controlled by

18900-613: The disks is a ferrite toroid. A voltage pulse applied between the two disks causes an increasing magnetic field which inductively couples power into the charged particle beam. The linear induction accelerator was invented by Christofilos in the 1960s. Linear induction accelerators are capable of accelerating very high beam currents (>1000 A) in a single short pulse. They have been used to generate X-rays for flash radiography (e.g. DARHT at LANL ), and have been considered as particle injectors for magnetic confinement fusion and as drivers for free electron lasers . The Betatron

19080-553: The duty of the Russian Bolsheviks to protect what they had in Russia, and avoid military confrontations that might destroy their bridgehead. Russia was now a pariah state, along with Germany. The two came to terms in 1922 with the Treaty of Rapallo that settled long-standing grievances. At the same time, the two countries secretly set up training programs for the illegal German army and air force operations at hidden camps in

19260-469: The electric field across the gap, and the total particle energy gain can be calculated by multiplying the increase per crossing by the number of times the particle crosses the gap. However, given the typically high number of revolutions, it is usually simpler to estimate the energy by combining the equation for frequency in circular motion : f = v 2 π r {\displaystyle f={\frac {v}{2\pi r}}} with

19440-435: The electrons can pass through. The electron beam passes through the pillar via one of these holes and then travels through a hole in the wall of the cavity, and meets a bending magnet, the beam is then bent and sent back into the cavity, to another hole in the pillar, the electrons then again go across the pillar and pass though another part of the wall of the cavity and into another bending magnet, and so on, gradually increasing

19620-499: The electrons moving at nearly the speed of light in a relatively small radius orbit. In a linear particle accelerator (linac), particles are accelerated in a straight line with a target of interest at one end. They are often used to provide an initial low-energy kick to particles before they are injected into circular accelerators. The longest linac in the world is the Stanford Linear Accelerator , SLAC, which

19800-461: The energy of the beam until it is allowed to exit the cavity for use. The cylinder and pillar may be lined with copper on the inside. Ernest Lawrence's first cyclotron was a mere 4 inches (100 mm) in diameter. Later, in 1939, he built a machine with a 60-inch diameter pole face, and planned one with a 184-inch diameter in 1942, which was, however, taken over for World War II -related work connected with uranium isotope separation ; after

19980-445: The equations for cyclotron frequency and angular frequency gives: f = q B 2 π γ m 0 ω = q B γ m 0 {\displaystyle {\begin{aligned}f&={\frac {qB}{2\pi \gamma m_{0}}}\\[6pt]\omega &={\frac {qB}{\gamma m_{0}}}\end{aligned}}} The gyroradius for

20160-409: The first accelerators used simple technology of a single static high voltage to accelerate charged particles. The charged particle was accelerated through an evacuated tube with an electrode at either end, with the static potential across it. Since the particle passed only once through the potential difference, the output energy was limited to the accelerating voltage of the machine. While this method

20340-779: The founding republics who signed the Treaty on the Creation of the USSR in December 1922. In 1924, during the national delimitation in Central Asia, Uzbekistan and Turkmenistan were formed from parts of Russia's Turkestan ASSR and two Soviet dependencies, the Khorezm and Bukharan PSPs . In 1929, Tajikistan was split off from the Uzbekistan SSR. With the constitution of 1936, the Transcaucasian SFSR

20520-410: The general party membership, as the key principle of the party organization was democratic centralism , demanding strict subordination to higher bodies, and elections went uncontested, endorsing the candidates proposed from above. The Communist Party maintained its dominance over the state mainly through its control over the system of appointments . All senior government officials and most deputies of

20700-525: The globe. The post-Stalin leadership, particularly under Nikita Khrushchev , initiated a de-Stalinization process, leading to a period of liberalization and relative openness known as the Khrushchev Thaw . However, the subsequent era under Leonid Brezhnev , referred to as the Era of Stagnation , was marked by economic decline, political corruption, and a rigid gerontocracy . Despite efforts to maintain

20880-497: The government. Extensive extrajudicial powers were given to the Soviet secret police agencies . In practice, the Soviet government significantly curbed the rule of law , civil liberties , protection of law and guarantees of property , which were considered as examples of "bourgeois morality" by Soviet law theorists such as Andrey Vyshinsky . The USSR and other countries in the Soviet Bloc had abstained from affirming

21060-402: The highest bodies of the party and making the Supreme Soviet less dependent on them. The Congress of People's Deputies was established, the majority of whose members were directly elected in competitive elections held in March 1989, the first in Soviet history. The Congress now elected the Supreme Soviet, which became a full-time parliament, and much stronger than before. For the first time since

21240-472: The implementation of socialist policies and the New Economic Policy (NEP), which allowed for market-oriented reforms. The rise of Joseph Stalin in the late 1920s ushered in an era of intense centralization and totalitarianism. Stalin's rule was characterized by the forced collectivization of agriculture , rapid industrialization , and the Great Purge , which eliminated perceived enemies of

21420-477: The largest and most populous of which was the Russian SFSR . In practice, its government and economy were highly centralized . As a one-party state governed by the Communist Party of the Soviet Union , it was a flagship communist state . Its capital and largest city was Moscow . The Soviet Union's roots lay in the October Revolution of 1917. The new government, led by Vladimir Lenin , established

21600-411: The magnet aperture required and permitting tighter focusing; see beam cooling ), and a last large ring for final acceleration and experimentation. Circular electron accelerators fell somewhat out of favor for particle physics around the time that SLAC 's linear particle accelerator was constructed, because their synchrotron losses were considered economically prohibitive and because their beam intensity

21780-460: The magnetic field constant, but decrease the accelerating frequency) and isochronous cyclotrons (which hold the accelerating frequency constant, but alter the magnetic field). Lawrence's team built one of the first synchrocyclotrons in 1946. This 184 in (4.7 m) machine eventually achieved a maximum beam energy of 350 MeV for protons. However, synchrocyclotrons suffer from low beam intensities (< 1 μA), and must be operated in

21960-412: The magnetic field does not cover the entire area of the particle orbit as it does for a cyclotron, so several necessary functions can be separated. Instead of one huge magnet, one has a line of hundreds of bending magnets, enclosing (or enclosed by) vacuum connecting pipes. The design of synchrotrons was revolutionized in the early 1950s with the discovery of the strong focusing concept. The focusing of

22140-481: The most basic inquiries into the dynamics and structure of matter, space, and time, physicists seek the simplest kinds of interactions at the highest possible energies. These typically entail particle energies of many GeV , and interactions of the simplest kinds of particles: leptons (e.g. electrons and positrons ) and quarks for the matter, or photons and gluons for the field quanta . Since isolated quarks are experimentally unavailable due to color confinement ,

22320-486: The most common Russian initialization is Союз ССР (transliteration: Soyuz SSR ) which essentially translates to Union of SSRs in English. In addition, the Russian short form name Советский Союз (transliteration: Sovyetsky Soyuz , which literally means Soviet Union ) is also commonly used, but only in its unabbreviated form. Since the start of the Great Patriotic War at the latest, abbreviating

22500-474: The most powerful particle accelerator technology until the 1950s, when they were surpassed by the synchrotron . Nonetheless, they are still widely used to produce particle beams for nuclear medicine and basic research. As of 2020, close to 1,500 cyclotrons were in use worldwide for the production of radionuclides for nuclear medicine. In addition, cyclotrons can be used for particle therapy , where particle beams are directly applied to patients. In 1927, while

22680-517: The need for a huge magnet of large radius and constant field over the larger orbit demanded by high energy. The second approach to the problem of accelerating relativistic particles is the isochronous cyclotron . In such a structure, the accelerating field's frequency (and the cyclotron resonance frequency) is kept constant for all energies by shaping the magnet poles so to increase magnetic field with radius. Thus, all particles get accelerated in isochronous time intervals. Higher energy particles travel

22860-417: The newly elected Supreme Soviet of the Russian SFSR , and communist hardliners. On 19–21 August 1991, a group of hardliners staged a coup attempt . The coup failed, and the State Council of the Soviet Union became the highest organ of state power 'in the period of transition'. Gorbachev resigned as General Secretary, only remaining President for the final months of the existence of the USSR. The judiciary

23040-400: The nominal head of state . The institutions at lower levels were overseen and at times supplanted by primary party organizations . However, in practice the degree of control the party was able to exercise over the state bureaucracy, particularly after the death of Stalin, was far from total, with the bureaucracy pursuing different interests that were at times in conflict with the party, nor

23220-608: The official Soviet system of importance (ground forces were second, Air Force fourth, and Navy fifth). The army had the greatest political influence. In 1989, there served two million soldiers divided between 150 motorized and 52 armored divisions. Until the early 1960s, the Soviet navy was a rather small military branch, but after the Caribbean crisis , under the leadership of Sergei Gorshkov , it expanded significantly. It became known for battlecruisers and submarines. In 1989, there served 500 000 men. The Soviet Air Force focused on

23400-487: The only legal party and the final policymaker in the country. At the top of the Communist Party was the Central Committee , elected at Party Congresses and Conferences. In turn, the Central Committee voted for a Politburo (called the Presidium between 1952 and 1966), Secretariat and the general secretary (First Secretary from 1953 to 1966), the de facto highest office in the Soviet Union. Depending on

23580-423: The orbit, i.e. with azimuth . A cyclotron using this focusing method is thus called an azimuthally-varying field (AVF) cyclotron. The variation in field strength is provided by shaping the steel poles of the magnet into sectors which can have a shape reminiscent of a spiral and also have a larger area towards the outer edge of the cyclotron to improve the vertical focus of the particle beam. This solution for focusing

23760-694: The other order until 1936 . In addition, in the regional languages of several republics, the word council or conciliar in the respective language was only quite late changed to an adaptation of the Russian soviet and never in others, e.g. Ukrainian SSR . СССР (in the Latin alphabet: SSSR ) is the abbreviation of the Russian-language cognate of USSR, as written in Cyrillic letters . The Soviets used this abbreviation so frequently that audiences worldwide became familiar with its meaning. After this,

23940-455: The outer edge of the structure. Synchrocyclotrons have not been built since the isochronous cyclotron was developed. To reach still higher energies, with relativistic mass approaching or exceeding the rest mass of the particles (for protons, billions of electron volts or GeV ), it is necessary to use a synchrotron . This is an accelerator in which the particles are accelerated in a ring of constant radius. An immediate advantage over cyclotrons

24120-421: The particle beam was proposed by L. H. Thomas in 1938 and almost all modern cyclotrons use azimuthally-varying fields. The "horizontal" focusing happens as a natural result of cyclotron motion. Since for identical particles travelling perpendicularly to a constant magnetic field the trajectory curvature radius is only a function of their speed, all particles with the same speed will travel in circular orbits of

24300-429: The particle being accelerated slowly or even decelerated (outside of the 0–180° range). As the time taken by a particle to complete an orbit depends only on particle's type, magnetic field (which may vary with the radius), and Lorentz factor (see § Relativistic considerations ), cyclotrons have no longitudinal focusing mechanism which would keep the particles synchronized to the RF field. The phase difference, that

24480-425: The particle had at the moment of its injection into the cyclotron, is preserved throughout the acceleration process, but errors from imperfect match between the RF field frequency and the cyclotron frequency at a given radius accumulate on top of it. Failure of the particle to be injected with phase difference within about ±20° from the optimum may make its acceleration too slow and its stay in the cyclotron too long. As

24660-411: The particle reaches relativistic velocities, acceleration of relativistic particles requires modification of the cyclotron to ensure the particle crosses the gap at the same point in each RF cycle. If the frequency of the accelerating electric field is varied while the magnetic field is held constant, this leads to the synchrocyclotron . In this type of cyclotron, the accelerating frequency is varied as

24840-492: The particle's Lorentz factor . The relativistic mass can be written as: m = m 0 1 − ( v c ) 2 = m 0 1 − β 2 = γ m 0 , {\displaystyle m={\frac {m_{0}}{\sqrt {1-\left({\frac {v}{c}}\right)^{2}}}}={\frac {m_{0}}{\sqrt {1-\beta ^{2}}}}=\gamma {m_{0}},} where: Substituting this into

25020-408: The particle's speed or the radius of the particle's orbit. As the beam spirals outward, the rotation frequency stays constant, and the beam continues to accelerate as it travels a greater distance in the same time period. In contrast to this approximation, as particles approach the speed of light , the cyclotron frequency decreases due to the change in relativistic mass . This change is proportional to

25200-412: The particles and a single large dipole magnet to bend their path into a circular orbit. It is a characteristic property of charged particles in a uniform and constant magnetic field B that they orbit with a constant period, at a frequency called the cyclotron frequency , so long as their speed is small compared to the speed of light c . This means that the accelerating D's of a cyclotron can be driven at

25380-420: The particles focused for acceleration requires confining the particles to the plane of acceleration (in-plane or "vertical" focusing), preventing them from moving inward or outward from their correct orbit ("horizontal" focusing), and keeping them synchronized with the accelerating RF field cycle (longitudinal focusing). The in-plane or "vertical" focusing is typically achieved by varying the magnetic field around

25560-428: The particles was limited by the maximum electrical potential that could be achieved across the accelerating region. This potential was in turn limited by electrostatic breakdown to a few million volts. In a cyclotron, by contrast, the particles encounter the accelerating region many times by following a spiral path, so the output energy can be many times the energy gained in a single accelerating step. Cyclotrons were

25740-570: The partition of Poland. In response, Britain and France declared war on Germany, marking the beginning of World War II . Up until his death in 1953, Joseph Stalin controlled all foreign relations of the Soviet Union during the interwar period . Despite the increasing build-up of Germany 's war machine and the outbreak of the Second Sino-Japanese War , the Soviet Union did not cooperate with any other nation, choosing to follow its own path. However, after Operation Barbarossa ,

25920-538: The party's highest body the Politburo . Operations were handled by the separate Ministry of Foreign Affairs . It was known as the People's Commissariat for Foreign Affairs (or Narkomindel), until 1946. The most influential spokesmen were Georgy Chicherin (1872–1936), Maxim Litvinov (1876–1951), Vyacheslav Molotov (1890–1986), Andrey Vyshinsky (1883–1954) and Andrei Gromyko (1909–1989). Intellectuals were based in

26100-449: The potential is used twice to accelerate the particles, by reversing the charge of the particles while they are inside the terminal. This is possible with the acceleration of atomic nuclei by using anions (negatively charged ions ), and then passing the beam through a thin foil to strip electrons off the anions inside the high voltage terminal, converting them to cations (positively charged ions), which are accelerated again as they leave

26280-420: The same radius, and a particle with a slightly incorrect trajectory will simply travel in a circle with a slightly offset center. Relative to a particle with a centered orbit, such a particle will appear to undergo a horizontal oscillation relative to the centered particle. This oscillation is stable for particles with a small deviation from the reference energy. The instantaneous level of synchronization between

26460-434: The secondary winding in a transformer, due to the changing magnetic flux through the orbit. Achieving constant orbital radius while supplying the proper accelerating electric field requires that the magnetic flux linking the orbit be somewhat independent of the magnetic field on the orbit, bending the particles into a constant radius curve. These machines have in practice been limited by the large radiative losses suffered by

26640-571: The simplest available experiments involve the interactions of, first, leptons with each other, and second, of leptons with nucleons , which are composed of quarks and gluons. To study the collisions of quarks with each other, scientists resort to collisions of nucleons, which at high energy may be usefully considered as essentially 2-body interactions of the quarks and gluons of which they are composed. This elementary particle physicists tend to use machines creating beams of electrons, positrons, protons, and antiprotons , interacting with each other or with

26820-405: The simplest nuclei (e.g., hydrogen or deuterium ) at the highest possible energies, generally hundreds of GeV or more. The largest and highest-energy particle accelerator used for elementary particle physics is the Large Hadron Collider (LHC) at CERN , operating since 2009. Nuclear physicists and cosmologists may use beams of bare atomic nuclei , stripped of electrons, to investigate

27000-641: The speed in this equation in terms of frequency and radius v = 2 π f r {\displaystyle v=2\pi fr} yields the connection between the magnetic field strength, frequency, and radius: ( 1 2 π f ) 2 = ( m 0 q B ) 2 + ( r c ) 2 {\displaystyle \left({\frac {1}{2\pi f}}\right)^{2}=\left({\frac {m_{0}}{qB}}\right)^{2}+\left({\frac {r}{c}}\right)^{2}} Since γ {\displaystyle \gamma } increases as

27180-426: The speed of light in vacuum , in high-energy accelerators, as the energy increases the particle speed approaches the speed of light as a limit, but never attains it. Therefore, particle physicists do not generally think in terms of speed, but rather in terms of a particle's energy or momentum , usually measured in electron volts (eV). An important principle for circular accelerators, and particle beams in general,

27360-539: The state. The Soviet Union played a crucial role in the Allied victory in World War II , but at a tremendous human cost, with millions of Soviet citizens perishing in the conflict. The Soviet Union emerged as one of the world's two superpowers, leading the Eastern Bloc in opposition to the Western Bloc during the Cold War . This period saw the USSR engage in an arms race, the Space Race , and proxy wars around

27540-471: The structure, interactions, and properties of the nuclei themselves, and of condensed matter at extremely high temperatures and densities, such as might have occurred in the first moments of the Big Bang . These investigations often involve collisions of heavy nuclei – of atoms like iron or gold  – at energies of several GeV per nucleon . The largest such particle accelerator

27720-469: The struggle for dominance was expressed via indirect means such as psychological warfare , propaganda campaigns, espionage , far-reaching embargoes , rivalry at sports events and technological competitions such as the Space Race . Constitutionally, the USSR was a federation of constituent Union Republics, which were either unitary states, such as Ukraine or Byelorussia (SSRs), or federations, such as Russia or Transcaucasia (SFSRs), all four being

27900-507: The terminal. The two main types of electrostatic accelerator are the Cockcroft–Walton accelerator , which uses a diode-capacitor voltage multiplier to produce high voltage, and the Van de Graaff accelerator , which uses a moving fabric belt to carry charge to the high voltage electrode. Although electrostatic accelerators accelerate particles along a straight line, the term linear accelerator

28080-492: The truth". Human rights in the Soviet Union were severely limited. The Soviet Union was a totalitarian state from 1927 until 1953 and a one-party state until 1990. Freedom of speech was suppressed and dissent was punished. Independent political activities were not tolerated, whether these involved participation in free labour unions , private corporations , independent churches or opposition political parties . The freedom of movement within and especially outside

28260-573: The war it continued in service for research and medicine over many years. The first large proton synchrotron was the Cosmotron at Brookhaven National Laboratory , which accelerated protons to about 3  GeV (1953–1968). The Bevatron at Berkeley, completed in 1954, was specifically designed to accelerate protons to enough energy to create antiprotons , and verify the particle–antiparticle symmetry of nature, then only theorized. The Alternating Gradient Synchrotron (AGS) at Brookhaven (1960–)

28440-527: The west further raised concerns. In the past, there were accidents involving submarines K-19 , K-8 , a K-129 , K-27 , K-219 and K-278 Komsomolets . There were three power hierarchies in the Soviet Union: the legislature represented by the Supreme Soviet of the Soviet Union , the government represented by the Council of Ministers , and the Communist Party of the Soviet Union (CPSU),

28620-465: The world's largest lakes; the Caspian Sea (shared with Iran ), and Lake Baikal , the world's largest (by volume) and deepest freshwater lake that is also an internal body of water in Russia. Neighbouring countries were aware of the high levels of pollution in the Soviet Union but after the dissolution of the Soviet Union it was discovered that its environmental problems were greater than what

28800-476: The world. There are two basic classes of accelerators: electrostatic and electrodynamic (or electromagnetic) accelerators. Electrostatic particle accelerators use static electric fields to accelerate particles. The most common types are the Cockcroft–Walton generator and the Van de Graaff generator . A small-scale example of this class is the cathode-ray tube in an ordinary old television set. The achievable kinetic energy for particles in these devices

28980-562: Was a coastline . The country bordered Afghanistan , the People's Republic of China , Czechoslovakia , Finland , Hungary , Iran , Mongolia , North Korea , Norway , Poland , Romania , and Turkey from 1945 to 1991. The Bering Strait separated the USSR from the United States . The country's highest mountain was Communism Peak (now Ismoil Somoni Peak ) in Tajikistan , at 7,495 metres (24,590 ft). The USSR also included most of

29160-432: Was a practical limit on the beam energy that could be achieved with the traditional cyclotron design, due to the effects of special relativity . As particles reach relativistic speeds, their effective mass increases, which causes the resonant frequency for a given magnetic field to change. To address this issue and reach higher beam energies using cyclotrons, two primary approaches were taken, synchrocyclotrons (which hold

29340-539: Was also the industrial center of the Soviet Union. Historian Matthew White wrote that it was an open secret that the country's federal structure was 'window dressing' for Russian dominance. For that reason, the people of the USSR were usually called 'Russians', not 'Soviets', since 'everyone knew who really ran the show'. Under the Military Law of September 1925, the Soviet Armed Forces consisted of

29520-413: Was awarded the 1939 Nobel Prize in Physics for this invention. The cyclotron was the first "cyclical" accelerator. The primary accelerators before the development of the cyclotron were electrostatic accelerators , such as the Cockcroft–Walton generator and the Van de Graaff generator . In these accelerators, particles would cross an accelerating electric field only once. Thus, the energy gained by

29700-483: Was brought under strict party control after Stalin's death. Under Yuri Andropov , the KGB engaged in the suppression of political dissent and maintained an extensive network of informers, reasserting itself as a political actor to some extent independent of the party-state structure, culminating in the anti-corruption campaign targeting high-ranking party officials in the late 1970s and early 1980s. The constitution , which

29880-540: Was carried out within the terms of the Soviet Civil Code. Some Soviet legal scholars even said that "criminal repression" may be applied in the absence of guilt. Martin Latsis , chief of Soviet Ukraine 's secret police explained: "Do not look in the file of incriminating evidence to see whether or not the accused rose up against the Soviets with arms or words. Ask him instead to which class he belongs, what

30060-475: Was colloquially, but incorrectly, referred to as Russia . The history of the Soviet Union began with the ideals of the Bolshevik Revolution and ended in dissolution amidst economic collapse and political disintegration. Established in 1922 following the Russian Civil War , the Soviet Union quickly became a one-party state under the Communist Party . Its early years under Lenin were marked by

30240-681: Was constructed in the Soviet Union in the physics department of the V.G. Khlopin Radium Institute in Leningrad , headed by Vitaly Khlopin  [ ru ] . This Leningrad instrument was first proposed in 1932 by George Gamow and Lev Mysovskii  [ ru ] and was installed and became operative by 1937. Two cyclotrons were built in Nazi Germany . The first was constructed in 1937, in Otto Hahn 's laboratory at

30420-404: Was dissolved, resulting in its constituent republics of Armenia , Georgia and Azerbaijan being elevated to Union Republics, while Kazakhstan and Kirghizia were split off from the Russian SFSR, resulting in the same status. In August 1940, Moldavia was formed from parts of Ukraine and Soviet-occupied Bessarabia , and Ukrainian SSR. Estonia , Latvia and Lithuania were also annexed by

30600-648: Was lower than for the unpulsed linear machines. The Cornell Electron Synchrotron , built at low cost in the late 1970s, was the first in a series of high-energy circular electron accelerators built for fundamental particle physics, the last being LEP , built at CERN, which was used from 1989 until 2000. A large number of electron synchrotrons have been built in the past two decades, as part of synchrotron light sources that emit ultraviolet light and X rays; see below. Some circular accelerators have been built to deliberately generate radiation (called synchrotron light ) as X-rays also called synchrotron radiation, for example

30780-424: Was no large-scale fighting directly between the two superpowers , but they each supported major regional conflicts known as proxy wars . The conflict was based around the ideological and geopolitical struggle for global influence by these two superpowers, following their temporary alliance and victory against Nazi Germany in 1945. Aside from the nuclear arsenal development and conventional military deployment,

30960-450: Was not independent of the other branches of government. The Supreme Court supervised the lower courts ( People's Court ) and applied the law as established by the constitution or as interpreted by the Supreme Soviet. The Constitutional Oversight Committee reviewed the constitutionality of laws and acts. The Soviet Union used the inquisitorial system of Roman law , where the judge, procurator , and defence attorney collaborate to "establish

31140-433: Was promulgated in 1924 , 1936 and 1977 , did not limit state power. No formal separation of powers existed between the Party, Supreme Soviet and Council of Ministers that represented executive and legislative branches of the government. The system was governed less by statute than by informal conventions, and no settled mechanism of leadership succession existed. Bitter and at times deadly power struggles took place in

31320-477: Was repeatedly postponed. Formal recognition came when the new Labour Party came to power in 1924. All the other countries followed suit in opening trade relations. Henry Ford opened large-scale business relations with the Soviets in the late 1920s, hoping that it would lead to long-term peace. Finally, in 1933, the United States officially recognized the USSR, a decision backed by the public opinion and especially by US business interests that expected an opening of

31500-482: Was that "the Constitution was written not for you, but for American Negroes, so that they know how happy the lives of Soviet citizens are". Crime was determined not as the infraction of law, instead, it was determined as any action which could threaten the Soviet state and society. For example, a desire to make a profit could be interpreted as a counter-revolutionary activity punishable by death. The liquidation and deportation of millions of peasants in 1928–31

31680-414: Was the synchrocyclotron , which accelerates the particles in bunches. It uses a constant magnetic field B {\displaystyle B} , but reduces the accelerating field's frequency so as to keep the particles in step as they spiral outward, matching their mass-dependent cyclotron resonance frequency. This approach suffers from low average beam intensity due to the bunching, and again from

31860-506: Was the Russian responsibility to assist them. The Comintern was the weapon of choice. A few revolutions did break out, but they were quickly suppressed (the longest lasting one was in Hungary)—the Hungarian Soviet Republic —lasted only from 21 March 1919 to 1 August 1919. The Russian Bolsheviks were in no position to give any help. By 1921, Lenin, Trotsky, and Stalin realized that capitalism had stabilized itself in Europe and there would not be any widespread revolutions anytime soon. It became

32040-453: Was the first large synchrotron with alternating gradient, " strong focusing " magnets, which greatly reduced the required aperture of the beam, and correspondingly the size and cost of the bending magnets. The Proton Synchrotron , built at CERN (1959–), was the first major European particle accelerator and generally similar to the AGS. The Stanford Linear Accelerator , SLAC, became operational in 1966, accelerating electrons to 30 GeV in

32220-404: Was the first major accident at a civilian nuclear power plant . Unparalleled in the world, it resulted in a large number of radioactive isotopes being released into the atmosphere. Radioactive doses were scattered relatively far. Although long-term effects of the accident were unknown, 4,000 new cases of thyroid cancer which resulted from the accident's contamination were reported at the time of

32400-431: Was the party itself monolithic from top to bottom, although factions were officially banned . The Supreme Soviet (successor of the Congress of Soviets ) was nominally the highest state body for most of the Soviet history, at first acting as a rubber stamp institution, approving and implementing all decisions made by the party. However, its powers and functions were extended in the late 1950s, 1960s and 1970s, including

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