Thomas-Fermi-Dirac方程是一个重要的物理方程，它是由美国物理学家爱德华·福尔米和英国物理学家詹姆斯·狄拉克共同发现的。它是一个非线性的微分方程，用于描述电子在原子核外的行为。它的解决方案可以用来计算原子核外电子的能量和密度。Thomas-Fermi-Dirac方程的形式是：∇²φ（r）+（2m/h²）（V（r）-E...
Thomas-Fermi model/ Thomas-Fermi-Dirac modellow density stellar matterWigner-Seitz cell structuremagnetic fields/ A9710C Stellar interiors, evolution, nucleosynthesis, and ages A2160 Nuclear-structure models and methods A2165 Nuclear matter A9530C Elementary particle and nuclear processes in astrophysics...
THE fundamental equation of the Thomas–Fermi–Dirac statistical atom model 1 is the so-called Thomas–Fermi–Dirac equation Open image in new window where ψ″ denotes the second derivative of ψ by x , β represents the constant β = 3 1/3 /(32 1/3 π 2/3 Z 2/3 ) and Z the ...
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The errors in the total energies using the Thomas-Fermi-Dirac-Weizsäcker formulation are approximately -0·4 per cent for Ne-Ne and -0·01 per cent for Ar-Ar molecules respectively. However, the values of the intermolecular potentials thus calculated are in general too negative and not in...
Use is made of a previously obtained "quantum correction" to the statistical model of the atom, and of a very simple approximation to the correlation energy, in deriving a quantum- and correlation-corrected Thomas-Fermi-Dirac (TFD) equation. One expects the radial density distribution and potenti...
The Thomas–Fermi–Dirac-Weizscker model for finite temperature is presented. Starting with the free energy density, consistent expressions for the Helmholtz free energy, total energy, pressure and virial theorem are derived. The exchange and correlation terms are cast in a form that is suitable fo...
3) existence/Thomas-Fermi-Dirac equation 存在性/Thomas-Fermi-Dirac方程4) Thomas-Fermi model Thomas-Fermi模型 1. Based on Thomas-Fermi model,the change trend of free energy and Gibbs free energy of Al-Cu-Fe alloy and quasicrystal Al_(62. 基于Thomas-Fermi模型,计算研究了电场作用下Al-Cu-...
The traditional Thomas–Fermi–Dirac model of the electronic structure for a neutral atom is deficient in that it predicts an infinite electron density at the nucleus and a sharp cutoff of the electron density at a finite radius. This study was carried out to remedy these faults in the model...
Our results indicate that the Thomas-Fermi-Dirac-von Weizsa¨cker theory can give an approximate description of matter, with atomic energies, binding energies, and bond lengths of the correct order of magnitude, though not to the accuracy required of a qualitative chemical theory. We discuss the...