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Μέθοδος KKR×Θεωρία Συναρτησιακής Πυκνότητας×Μέθοδος Hartree-Fock×Μοντέλο Σφιχτής Δέσμης×
ΠεδίοΚβαντική ΥπολογιστικήΚβαντική ΥπολογιστικήΚβαντική ΥπολογιστικήΚβαντική Υπολογιστική
ΟικογένειαMachine learningMachine learningMachine learningMachine learning
Έτος προέλευσης1947196519281954
ΔημιουργόςJoop Korringa and Walter KohnWalter KohnDouglas Hartree and Vladimir FockJohn Slater and George Koster
ΤύποςElectronic structure methodElectronic structure methodElectronic structure methodSimplified electronic structure model
Θεμελιώδης πηγήKorringa, J. (1947). On the calculation of the energy of a Bloch wave in a metal. Physica, 13, 392–400. 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 ↗Slater, J. C., Koster, G. F. (1954). Simplified LCAO method for the periodic potential problem. Physical Review, 94, 1498–1524. DOI ↗
Εναλλακτικές ονομασίεςKKR, multiple scatteringDFT, Kohn-Sham equationsHF, self-consistent fieldTB model, hopping model
Συναφείς3443
ΣύνοψηThe 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.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 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.
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ScholarGateΣύγκριση μεθόδων: KKR Method · Density Functional Theory · Hartree-Fock Method · Tight-Binding Model. Ανακτήθηκε στις 2026-06-17 από https://scholargate.app/el/compare