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Band Theory, Valence Bond, and Tight-Binding Calculations

Data up to Jan 2025

Published1962
Citations267
References197

Total Citations Per Year

Abstract

References (197)

Über die Zuordnung von Wellenfunktionen und Eigenwerten zu den Einzelnen Elektronen Eines Atoms

1934 • 6,923 citations

New Developments in Molecular Orbital Theory

1951 • 5,347 citations

Simplified LCAO Method for the Periodic Potential Problem

1954 • 4,907 citations

A Simplification of the Hartree-Fock Method

1951 • 4,355 citations

Zur Theorie der Metalle

1931 • 3,495 citations

Quantum Theory of Many-Particle Systems. I. Physical Interpretations by Means of Density Matrices, Natural Spin-Orbitals, and Convergence Problems in the Method of Configurational Interaction

1955 • 3,424 citations

Note on Exchange Phenomena in the Thomas Atom

1930 • 3,092 citations

�ber die Quantenmechanik der Elektronen in Kristallgittern

1929 • 3,080 citations

On the Non-Orthogonality Problem Connected with the Use of Atomic Wave Functions in the Theory of Molecules and Crystals

1950 • 2,996 citations

On the Interaction of Electrons in Metals

1934 • 2,793 citations

New Approach to the Theory of Superexchange Interactions

1959 • 2,392 citations

The Structure of Electronic Excitation Levels in Insulating Crystals

1937 • 2,008 citations

Quantisierung als Eigenwertproblem

1926 • 1,919 citations

The Basis of the Electron Theory of Metals, with Special Reference to the Transition Metals

1949 • 1,829 citations

Wechselwirkung neutraler Atome und hom�opolare Bindung nach der Quantenmechanik

1927 • 1,778 citations

N�herungsmethode zur L�sung des quantenmechanischen Mehrk�rperproblems

1930 • 1,701 citations

Antiferromagnetism. Theory of Superexchange Interaction

1950 • 1,683 citations

Neue Berechnung der Energie des Heliums im Grundzustande, sowie des tiefsten Terms von Ortho-Helium

1929 • 1,578 citations

Band Structure of Graphite

1958 • 1,560 citations

General Theory of Spin-Wave Interactions

1956 • 1,552 citations

The Wave Mechanics of an Atom with a Non-Coulomb Central Field. Part I. Theory and Methods

1928 • 1,512 citations

Self-Consistent Field Approach to the Many-Electron Problem

1959 • 1,454 citations

Some Recent Advances in Density Matrix Theory

1960 • 1,428 citations

An Approximate Quantum Theory of the Antiferromagnetic Ground State

1952 • 1,279 citations

The Theory of Positrons

1949 • 1,229 citations

On the Constitution of Metallic Sodium

1933 • 1,213 citations

New Method for Calculating Wave Functions in Crystals and Molecules

1959 • 1,207 citations

Quantum theory of cohesive properties of solids

1956 • 1,199 citations

Quantum Theory of Many-Particle Systems. III. Extension of the Hartree-Fock Scheme to Include Degenerate Systems and Correlation Effects

1955 • 1,103 citations

Analytic Properties of Bloch Waves and Wannier Functions

1959 • 1,092 citations

Effects of the electron interaction on the energy levels of electrons in metals

1938 • 1,084 citations

Theory of Brillouin Zones and Symmetry Properties of Wave Functions in Crystals

1936 • 979 citations

Wave Functions in a Periodic Potential

1937 • 846 citations

Many-Body Problem for Strongly Interacting Particles. II. Linked Cluster Expansion

1955 • 757 citations

Magnetic Effects and the Hartree-Fock Equation

1951 • 729 citations

Band Structure of Graphite and de Haas-van Alphen Effect

1957 • 711 citations

The Spin-Wave Theory of Antiferromagnetics

1952 • 703 citations

Quelques aspects de la théorie des orbitales moléculaires

1949 • 654 citations

Über eine neue Methode zur Lösung gewisser Variationsprobleme der mathematischen Physik.

1909 • 634 citations

Two-Body Forces and Nuclear Saturation. III. Details of the Structure of the Nucleus

1955 • 601 citations

L'interaction Entre les Atomes Magnétogènes dans un Cristal Paramagnétique

1934 • 594 citations

Mehrk�rperproblem und Resonanz in der Quantenmechanik

1926 • 586 citations

Nuclear Many-Body Problem

1956 • 553 citations

XXXIV. Notes on the molecular orbital treatment of the hydrogen molecule

1949 • 541 citations

A Method for Obtaining Electronic Eigenfunctions and Eigenvalues in Solids with An Application to Sodium

1947 • 541 citations

Bemerkung zur Elektronentheorie des Ferromagnetismus und der elektrischen Leitf�higkeit

1929 • 531 citations

On the Constitution of Metallic Sodium. II

1934 • 520 citations

A New Method for Calculating Wave Functions in Crystals

1940 • 510 citations

Scaling problem, virial theorem, and connected relations in quantum mechanics

1959 • 502 citations

A Collective Description of Electron Interactions: IV. Electron Interaction in Metals

1953 • 500 citations

Quantum Theory of Many-Particle Systems. II. Study of the Ordinary Hartree-Fock Approximation

1955 • 448 citations

The molecular orbital theory of chemical valency XVI. A theory of paired-electrons in polyatomic molecules

1953 • 434 citations

The Theory and Calculation of Screening Constants

1930 • 419 citations

Electron Self-Energy Approach to Correlation in a Degenerate Electron Gas

1958 • 410 citations

Zur Deutung der Molekelspektren. IV

1928 • 359 citations

Cohesion in Monovalent Metals

1930 • 357 citations

Approximate Reduction of the Many-Body Problem for Strongly Interacting Particles to a Problem of Self-Consistent Fields

1955 • 347 citations

Simple Groups and Strong Interaction Symmetries

1962 • 338 citations

Energy, Specific Heat, and Magnetic Properties of the Low-Density Electron Gas

1961 • 333 citations

The Calculation of Matrix Elements for Lewis Electronic Structures of Molecules

1933 • 330 citations

Two-Body Forces and Nuclear Saturation. I. Central Forces

1954 • 329 citations

The Assignment of Quantum Numbers for Electrons in Molecules. I

1928 • 326 citations

Directed Valence in Polyatomic Molecules

1931 • 323 citations

A dielectric formulation of the many body problem: Application to the free electron gas

1958 • 317 citations

The electronic structure of some diatomic molecules

1929 • 310 citations

Superposition of Configurations and Natural Spin Orbitals. Applications to the He Problem

1959 • 305 citations

The Quantum Theory of Valence

1935 • 303 citations

�ber die Spektra von Atomsystemen mit zwei Elektronen

1926 • 285 citations

Energy-Band Interpolation Scheme Based on a Pseudopotential

1958 • 280 citations

Bemerkung zum Virialsatz

1930 • 275 citations

Nuclear Saturation and Two-Body Forces. II. Tensor Forces

1954 • 269 citations

Spin Waves

1958 • 268 citations

Electronic Energy Bands in Metals

1934 • 264 citations

Electron interactions

1959 • 262 citations

Orthogonalization Procedures and the Localization of Wannier Functions

1957 • 253 citations

Electronic correlation energy in 3- and 4-electron atoms

1961 • 251 citations

On the Solution of the Hartree-Fock Equation in Terms of Localized Orbitals

1961 • 248 citations

Effect of Time-Reversal Symmetry on Energy Bands of Crystals

1937 • 247 citations

The Dirac Vector Model in Complex Spectra

1934 • 246 citations

Character tables for two space groups

1942 • 245 citations

Theory of Separated Electron Pairs

1958 • 232 citations

A Soluble Problem in Energy Bands

1952 • 216 citations

The Electronic Structure of Metals

1934 • 213 citations

Electron interactions

1959 • 212 citations

The Theoretical and Experimental Status of the Collective Electron Theory of Ferromagnetism

1953 • 209 citations

An Augmented Plane Wave Method for the Periodic Potential Problem

1953 • 205 citations

Band Structure and Cohesive Energy of Potassium Chloride

1958 • 197 citations

Electronic Structures of Polyatomic Molecules and Valence. II. General Considerations

1932 • 194 citations

Theoretical Investigation of the Electronic Energy Band Structure of Solids

1958 • 194 citations

Experimental Investigations of the Electronic Band Structure of Solids

1958 • 194 citations

Electron Interaction in Solids. General Formulation

1958 • 189 citations

Structure of Nuclear Matter

1960 • 173 citations

Extension of the Dirac Vector Model to Include Several Configurations

1934 • 170 citations

Theorem on Separability of Electron Pairs

1960 • 157 citations

Crystal Potential and Energy Bands of Semiconductors. III. Self-Consistent Calculations for Silicon

1960 • 157 citations

The Quantum Mechanics of Electrons in Crystals

1930 • 153 citations

Correlation Splitting in Helium‐Like Ions

1956 • 153 citations

Quantenmechanische Berechnung des Verlaufes der Gitterenergie des Na-Cl-Gitters in Abh�ngigkeit vom Gitterabstand

1936 • 149 citations

On the Reduction of Space Groups

1936 • 147 citations

Ferromagnetism and the Band Theory

1953 • 140 citations

The Theoretical Constitution of Metallic Lithium

1935 • 134 citations

Wave Functions and Energy Levels for Fe as Found by the Unrestricted Hartree-Fock Method

1957 • 134 citations

Long-range interaction of two ls-hydrogen atoms expressed in terms of natural spin-orbitals

1959 • 134 citations

XXVIII. The electronic structure of diamond

1952 • 129 citations

Unrestricted Hartree-Fock Method: Electron Densities and Magnetic Form Factors for Spin Polarized<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Ni</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>

1960 • 128 citations

Expansion Theorems for the Total Wave Function and Extended Hartree-Fock Schemes

1960 • 126 citations

Note on the Interpretation of the Density Matrix in the Many-Electron Problem

1931 • 126 citations

The valence bond theory of molecular structure - I. Orbital theories and the valence-bond method

1954 • 124 citations

BAND STRUCTURE OF RHOMBOHEDRAL GRAPHITE

1958 • 123 citations

Les problèmes de perturbations et les champs self-consistents

1932 • 123 citations

On the basis of orbital theories

1955 • 120 citations

Self-consistent field for molecular hydrogen

1938 • 119 citations

An Augmented Plane-Wave Method for the Periodic Potential Problem. II

1953 • 118 citations

Superposition of Configurations

1952 • 117 citations

Crystal Potential and Energy Bands of Semiconductors. II. Self-Consistent Calculations for Cubic Boron Nitride

1960 • 116 citations

Note on Orthogonal Atomic Orbitals

1951 • 112 citations

New Soluble Energy Band Problem

1958 • 112 citations

Effective Mass Theory in Solids from a Many-Particle Standpoint

1957 • 112 citations

The Solution of Problems Involving Permutation Degeneracy

1934 • 111 citations

Simplification in Finding Symmetry-Adapted Eigenfunctions

1956 • 109 citations

Unrestricted Hartree-Fock Method

1956 • 102 citations

Variational Methods for Periodic Lattices

1952 • 101 citations

Crystal Potential and Energy Bands of Semiconductors. I. Self-Consistent Calculations for Diamond

1959 • 99 citations

Three Remarks on Molecular Orbital Theory of Complex Molecules

1960 • 95 citations

The band structure of aluminium I. Determination from experimental data

1957 • 92 citations

The Empty Lattice Test of the Cellular Method in Solids

1937 • 92 citations

Note on the Separability Theorem for Electron Pairs

1961 • 91 citations

Das eigenwertproblem im eindimensionalen periodischen kraftfelde

1935 • 86 citations

Orthogonalized Plane Wave Method

1955 • 84 citations

Electronic Energy Bands in Crystals

1952 • 80 citations

The description of collective motions in terms of many-body perturbation theory III. The extension of the theory to the non-uniform gas

1958 • 80 citations

Hyperfine Splitting of the Lithium Ground State

1960 • 78 citations

Collective electron ferromagnetism in metals and alloys

1951 • 72 citations

Maximum Overlap Atomic and Molecular Orbitals

1961 • 71 citations

Correlation Energies of Some He- and Ne-Like Systems

1958 • 68 citations

The Fermi, or Exchange, Hole in Atoms

1956 • 65 citations

Quantum Theory of Electronic Structure of Molecules

1960 • 65 citations

Les électrons libres dans les métaux et le role des réflexions de Bragg

1930 • 64 citations

Study of the Surface States of Diamond and Graphite by a Simple MO-LCAO Method

1960 • 62 citations

Cohesive Energy of Alkali Metals

1953 • 62 citations

A Simplified Method of Computing the Cohesive Energies of Monovalent Metals

1950 • 61 citations

A Self-consistent Calculation of the Graphite Band

1959 • 61 citations

The electronic structure of diamond, silicon and germanium

1958 • 59 citations

Nonorthogonality and Ferromagnetism

1936 • 59 citations

The density matrix in self-consistent field theory II. Applications in the molecular orbital theory of conjugated systems

1956 • 58 citations

Dielectric Formulation of Quantum Statistics of Interacting Particles

1960 • 55 citations

Giant Fluctuations in a Degenerate Fermi Gas

1960 • 54 citations

Crystalline Field and Spin Polarization Effects on Electron Densities and Magnetic Form Factors

1960 • 54 citations

LIII. The spatial correlation of electrons in atoms and molecules: I helium and similar two electron systems in their ground states

1952 • 52 citations

Spin Densities in Odd Alternant Hydrocarbon Radicals

1960 • 52 citations

On the Electronic States of the Doubly-charged Negative Ions of Oxygen in Oxide Crystals

1952 • 51 citations

Restricted and unrestricted hartree-fock calculations for atomic lithium

1960 • 51 citations

Effect of the Lattice on Dielectric Properties of an Electron Gas

1960 • 50 citations

The molecular orbital theory of chemical valency. XI. Bond energies, resonance energies and triplet state energies

1952 • 48 citations

Radial Configurational Interaction in Helium and Similar Atomic Systems

1956 • 48 citations

On the Calculation of the Inverse of the Overlap Matrix in Cyclic Systems

1960 • 48 citations

Calculating of the Cohesive Energy of Diamond

1953 • 47 citations

The Augmented Plane Wave and related methods for Crystal Eigenvalue Problems

1956 • 46 citations

Application of the Alternant Orbital Method to Benzene

1955 • 46 citations

Use of Non-orthogonal Wave Functions in the Treatment of Solids, with Applications to Ferromagnetism

1953 • 45 citations

Correlation Energy in a Model Semiconductor

1959 • 44 citations

Energy Band Structure of Lithium by a Modified Plane Wave Method

1958 • 42 citations

Tight-Binding Method for Hexagonal Close-Packed Structure

1957 • 41 citations

Non-Orthogonal Wave Functions and Ferromagnetism

1934 • 41 citations

The many-body problem and the Brueckner approximation

1957 • 39 citations

On the Stability of the Hartree-Fock Solution in Many-Body Problem

1961 • 37 citations

Metallic Transition in Lithium Hydride

1959 • 34 citations

Application of the Augmented Plane Wave Method to Copper

1955 • 33 citations

A convenient general solution of the confluent hypergeometric equation, analytic and numerical development

1951 • 32 citations

A Comparative Survey of Approximate Ground State Wave Functions of Helium Atom and Hydrogen Molecule

1952 • 28 citations

An Application of the W.K.B. Method to the Cohesive Energy of Monovalent Metals

1950 • 27 citations

Oxygen Band in Magnesium Oxide

1958 • 24 citations

The band structure of metals

1952 • 23 citations

Theory of Cohesive Energy of LiH Crystal

1958 • 23 citations

Generalization of Band Theory to Include Self-Energy Corrections

1960 • 23 citations

Maximal Orthogonal Orbitals

1956 • 22 citations

Band structure calculations in solids

1960 • 19 citations

Many-Particle Approach to the One-Electron Problem in Insulators and Semiconductors

1959 • 18 citations

New Quantum-Mechanical Representation

1959 • 18 citations

Calculation of the Cohesive Energy of Zincblende

1956 • 16 citations

Electronic Band Structure of Boron Carbide

1957 • 15 citations

Towards a theory of the crystallographic point groups

1961 • 13 citations

Electronic Band Structure in Graphite

1957 • 13 citations

Fragen der gegenwärtigen Quantentheorie elektronischer Leiter

1953 • 12 citations

The Electronic Structure of Crystals having the Sodium Chloride type of Lattice

1958 • 10 citations

The resonating-valence-bond theory of metals

1949 • 10 citations

Consideration on Non-Orthogonality Catastrophe in the Heitler-London Theory. I

1959 • 9 citations

Theory of Cohesive Energies and Energy-Band Structures of Diamond-Type Valence Crystals

1958 • 9 citations

On the Non-Orthogonality Difficulty in Ferromagnetism

1959 • 9 citations

Study of the Wurtzite-Type Binary Compounds. III. Valence Band Structure of BeO

1959 • 8 citations

Some remarks about electron-correlation

1957 • 8 citations

Properties of Wannier Functions

1958 • 7 citations

On the Diamagnetism of Graphite, I. Energy Levels of π-electrons

1959 • 6 citations

Homopolar Effects in Crystals having the Sodium Chloride Type of Lattice

1957 • 5 citations

Valence Bond Calculations

1954 • 5 citations

Electronic Structure and Diamagnetism of Graphite

1958 • 4 citations

Exakte Grundlagen der Theorie der Spinwellen

1958 • 3 citations

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Band Theory, Valence Bond, and Tight-Binding Calculations (1962) – Journal of Applied Physics | Metascience Observatory Explorer