The Brillouin and Langevin functions are a pair of special functions that appear when studying an idealized paramagnetic material in statistical mechanics...
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for the Langevin observers in relativistic physics Langevin dynamics Langevin equation Langevin function Brillouin and Langevin functions Solvay Conference...
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Paul Langevin, and was awarded his Docteur ès science in 1920. Brillouin's thesis jury was composed of Langevin, Marie Curie, and Jean Perrin and his thesis...
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mathematics (named for Paul Langevin): Langevin's function (and its relation to Brillouin's) Langevin dynamics Langevin equation This disambiguation page lists...
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Bohr–Van Leeuwen theorem (category Electric and magnetic fields in matter)
hydrogen atom in 1913. The Langevin function is often seen as the classical theory of paramagnetism, while the Brillouin function is the quantum theory of...
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Bridgman–Stockbarger technique Brightest cluster galaxy Brillouin and Langevin functions Brillouin scattering Brillouin zone Brinell scale Brinkman number Brinkmann...
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Curie's law (category Electric and magnetic fields in matter)
For this more general formula and its derivation (including high field, low temperature) see the article Brillouin function. As the spin approaches infinity...
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inelastic neutron scattering, inelastic light scattering (Brillouin scattering, Raman scattering and inelastic X-ray scattering), inelastic electron scattering...
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Grigorios A. (2014). Stochastic Processes and Applications : Diffusion Processes, the Fokker-Planck and Langevin Equations. Springer. pp. 38–40. doi:10...
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(also called TAS). It allows measurement of the scattering function at any point in energy and momentum space physically accessible by the spectrometer...
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Maier-Leibnitz in Germany MUSES at Laboratoire Léon Brillouin in France IN22/ZETA at the Institut Laue–Langevin in France TRISP at the Forschungs-Neutronenquelle...
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changed. Alfred Bucherer and Paul Langevin (1904) developed another model, in which the electron is contracted in the line of motion, and dilated in the transverse...
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Arnold Sommerfeld (section Early life and education)
at the University of Paris, under Paul Langevin. See: American Philosophical Society Author Catalog: Brillouin Archived 5 February 2007 at the Wayback...
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superconductivity optics: optic absorption in the infrared for ionic crystals, Brillouin scattering, Raman scattering We will now pursue a more rigorous analysis...
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the "Collège de France" with Painlevé, Becquerel, Brillouin, Cartan, De Donder, Hadamard, Langevin and Nordmann on "the infinite potentials", Einstein,...
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g-factor Landé interval rule Lane–Emden equation Langevin dynamics Langevin equation Langevin function Langmuir circulation Langmuir probe Langmuir waves...
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Langmuir and Lewi Tonks. Egil Hylleraas finds an approximate solution to the helium atom. 1930: Léon Brillouin develops the concept of Brillouin zone. Bloch...
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Research reactor (section Designers and constructors)
with water, and a moderator is required to slow the neutron velocities and enhance fission. As neutron production is their main function, most research...
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atomic transitions may be excited). However, it is always possible to have Brillouin scattering independent of the internal electronic details of atoms or...
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pulsar and directly by the Laser Interferometer Gravitational-wave Observatory (LIGO). In 1917, Einstein presented the semi-classical Einstein–Brillouin–Keller...
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