翻訳と辞書 Words near each other ・ Thermal conductance ・ Thermal conductance quantum ・ Thermal conduction ・ Thermal conductivities of the elements (data page) ・ Thermal conductivity ・ Thermal conductivity detector ・ Thermal conductivity measurement ・ Thermal contact ・ Thermal contact conductance ・ Thermal cooking ・ Thermal copier ・ Thermal copper pillar bump ・ Thermal Credits ・ Thermal cutoff ・ Thermal cycler ・ Thermal de Broglie wavelength ・ Thermal death time ・ Thermal decomposition ・ Thermal degradation of polymers ・ Thermal depolymerization ・ Thermal design power ・ Thermal desorption ・ Thermal desorption spectroscopy ・ Thermal destratification ・ Thermal diffusion ・ Thermal diffusivity ・ Thermal diode ・ Thermal dissolution ・ Thermal dose unit ・ Thermal effective mass Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Thermal de Broglie wavelength ： ウィキペディア英語版 Thermal de Broglie wavelength In physics, the thermal de Broglie wavelength ($\backslash Lambda$) is roughly the average de Broglie wavelength of the gas particles in an ideal gas at the specified temperature. We can take the average interparticle spacing in the gas to be approximately where is the volume and is the number of particles. When the thermal de Broglie wavelength is much smaller than the interparticle distance, the gas can be considered to be a classical or Maxwell–Boltzmann gas. On the other hand, when the thermal de Broglie wavelength is on the order of or larger than the interparticle distance, quantum effects will dominate and the gas must be treated as a Fermi gas or a Bose gas, depending on the nature of the gas particles. The critical temperature is the transition point between these two regimes, and at this critical temperature, the thermal wavelength will be approximately equal to the interparticle distance. That is, the quantum nature of the gas will be evident for :$$ \displaystyle \frac \le 1 \ , \ \left( \frac \right)^ \le \Lambda i.e., when the interparticle distance is less than the thermal de Broglie wavelength; in this case the gas will obey Bose–Einstein statistics or Fermi–Dirac statistics, whichever is appropriate. This is for example the case for electrons in a typical metal at ''T'' = 300 K, where the electron gas obeys Fermi–Dirac statistics, or in a Bose–Einstein condensate. On the other hand, for :$$ \displaystyle \frac \gg 1 \ , \ \left( \frac \right)^ \gg \Lambda i.e., when the interparticle distance is much larger than the thermal de Broglie wavelength, the gas will obey Maxwell–Boltzmann statistics. Such is the case for thermal neutrons produced by a neutron source. ==Massive Particles== For a free ideal gas of massive particles (with no internal degrees of freedom) in equilibrium, the thermal de Broglie wavelength can be obtained through the standard de Broglie wavelength: :$\backslash Lambda\; =\; \backslash frac$, with the substitution of the momentum ($p$) by the kinetic energy $E\_K\; =\; \backslash frac$: :$\backslash Lambda\; =\; \backslash frac\}\; =\; \backslash frac\{\backslash sqrt\{2\backslash pi\; mk\_BT\}\},$ where is the Planck constant, is the mass of a gas particle, $k\_B$ is the Boltzmann constant, and is the temperature of the gas.〔 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Thermal de Broglie wavelength」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.