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Tight-Binding Model×Tæthedsfunktionalteori×Hartree-Fock Metoden×KKR-metoden×
FagområdeKvanteberegningKvanteberegningKvanteberegningKvanteberegning
FamilieMachine learningMachine learningMachine learningMachine learning
Oprindelsesår1954196519281947
OphavspersonJohn Slater and George KosterWalter KohnDouglas Hartree and Vladimir FockJoop Korringa and Walter Kohn
TypeSimplified electronic structure modelElectronic structure methodElectronic structure methodElectronic structure method
Oprindelig kildeSlater, J. C., Koster, G. F. (1954). Simplified LCAO method for the periodic potential problem. Physical Review, 94, 1498–1524. DOI ↗Kohn, W., Sham, L. J. (1965). Self-consistent equations including exchange and correlation effects. Physical Review, 140, A1133–A1138. DOI ↗Fock, V. (1930). Näherungsmethode zur Lösung des quantenmechanischen Mehrkörperproblems. Zeitschrift für Physik, 61, 126–148. link ↗Korringa, J. (1947). On the calculation of the energy of a Bloch wave in a metal. Physica, 13, 392–400. DOI ↗
AliasserTB model, hopping modelDFT, Kohn-Sham equationsHF, self-consistent fieldKKR, multiple scattering
Relaterede3443
ResuméThe Tight-Binding (TB) model is a simplified semi-empirical approach for computing electronic band structures and properties of solids. Formulated by Slater and Koster in 1954, TB treats electron hopping between atomic sites as the dominant interaction, enabling efficient calculations of band dispersion for a wide variety of materials.Density Functional Theory (DFT) is a computational method for determining the properties of materials and molecules by modeling the ground state electron density. Developed by Walter Kohn and Lu Jeu Sham in the 1960s, DFT reduces the complexity of quantum chemistry from tracking individual electron coordinates to optimizing the total electron density, enabling efficient simulations of large molecular and condensed-matter systems.The Hartree-Fock (HF) method is a foundational self-consistent field approach for solving the many-electron Schrödinger equation. Developed independently by Douglas Hartree and Vladimir Fock in the late 1920s, it approximates the ground state by assuming electrons move in an average field generated by all other electrons, enabling tractable quantum chemistry calculations.The Korringa-Kohn-Rostoker (KKR) method is a powerful multiple-scattering approach for calculating electronic band structures and properties of periodic and disordered solids. Developed in the late 1940s, KKR treats electrons as scattering from atomic potentials in a muffin-tin geometry, enabling efficient calculations for both crystalline and amorphous systems.
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ScholarGateSammenlign metoder: Tight-Binding Model · Density Functional Theory · Hartree-Fock Method · KKR Method. Hentet 2026-06-17 fra https://scholargate.app/da/compare