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區域密度近似理論中具自交互作用修正之 KLI-OEP 方法對原子系統的應用
Thesis

區域密度近似理論中具自交互作用修正之 KLI-OEP 方法對原子系統的應用

張幼青
Masters, National Tsing Hua University
1999

Abstract

KLI-OEP 方法最佳有效位能區域密度近似自交互作用修正原子系統 KLI-OEP SchemeOptimized Effective PotentialLocal Density ApproximationSelf-Interaction CorrectionAtomic System
B-splines basis is employed in KLI-OEP scheme with self-interaction correction to calculate the total energies, orbital wave functions, and other electronic potentials for a series of atoms from h (Z = 1) to Sr (Z = 38). The non-relativistic single-particle Kohn-Sham (KS) equation issolved in the B-splines basis in a self-consistent manner. BothCerpeley-Alder (CA) and Vosko-Wilk-Nusair (VWN) exchange-correlation potentials of homogeneous electron gases are used. In addition, we have also performed calculations for various relativistic effects such as P4 kinetic energy, Darwin term corrections, and also spin-orbit splittings by perturbation treatment. Interconfigurational energies of the first rowtranstion metal atoms are also obtained. B-splines based codes in C programming language are devoloped and applied to a series of atoms for self-consistent-field calculations in KLI-OEP scheme. Both the non-relativistic and relativistically corrected results are compared with the experimental data and other calculations. The efficient calculations and accurate results illustrate the fesability of the B-splines application toKLI-OEP scheme.

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