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The Calculation of Bloch Functions

Data up to Jan 2025

Published1971
Citations125
References139

Total Citations Per Year

Abstract

References (139)

Simplified LCAO Method for the Periodic Potential Problem

1954 • 4,907 citations

�ber die Quantenmechanik der Elektronen in Kristallgittern

1929 • 3,080 citations

Introduction to Solid State Physics

1967 • 2,705 citations

Solution of the Schrödinger Equation in Periodic Lattices with an Application to Metallic Lithium

1954 • 1,734 citations

Pseudo-potentials in the theory of metals

1966 • 1,684 citations

On the calculation of the energy of a Bloch wave in a metal

1947 • 1,490 citations

The theory of atomic collisions

1966 • 1,415 citations

New Method for Calculating Wave Functions in Crystals and Molecules

1959 • 1,207 citations

The transition to the metallic state

1961 • 1,166 citations

The screened model potential for 25 elements

1965 • 867 citations

Principles of the Theory of Solids

1965 • 855 citations

A new method for the electronic structure of metals

1964 • 771 citations

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>s</mml:mi><mml:mo>−</mml:mo><mml:mi>d</mml:mi></mml:math>Interaction in Transition Metals

1967 • 675 citations

Augmented plane wave method

1967 • 607 citations

Elementary Particle Theory of Composite Particles

1963 • 579 citations

Interpolation Scheme for Band Structure of Noble and Transition Metals: Ferromagnetism and Neutron Diffraction in Ni

1966 • 538 citations

A New Method for Calculating Wave Functions in Crystals

1940 • 510 citations

The model potential for positive ions

1965 • 494 citations

Cancellation of Kinetic and Potential Energy in Atoms, Molecules, and Solids

1961 • 484 citations

A New Approximation Method in the Problem of Many Electrons

1935 • 483 citations

Quasiparticles and the Born Series

1963 • 471 citations

Optimum Form of a Modified Heine-Abarenkov Model Potential for the Theory of Simple Metals

1968 • 450 citations

``Multiple-Scattering'' Model for Polyatomic Molecules

1966 • 427 citations

Pseudopotential Theory of Cohesion and Structure

1970 • 400 citations

General Theory of Pseudopotentials

1962 • 396 citations

Combined Interpolation Scheme for Transition and Noble Metals

1967 • 393 citations

The method of neutral pseudo-atoms in the theory of metals

1964 • 373 citations

The many-body problem in quantum mechanics

1967 • 361 citations

The Fermi surface of aluminium

1963 • 359 citations

Wave propagation through an assembly of spheres: II. The density of single-particle eigenstates

1967 • 348 citations

Energy Bands in Periodic Lattices—Green's Function Method

1961 • 343 citations

The dispersion formula for nuclear reactions

1938 • 315 citations

Transition-Metal Pseudopotentials

1969 • 288 citations

Energy-Band Interpolation Scheme Based on a Pseudopotential

1958 • 280 citations

The Electron-Phonon Interaction

1963 • 273 citations

The theory of Brillouin zones and electronic states in crystals

1961 • 259 citations

Self-Consistent Energy Bands and Cohesive Energy of Potassium Chloride

1967 • 249 citations

Theory of the crystal structures of transition metals

1970 • 245 citations

Fourier Expansion for the Electronic Energy Bands in Silicon and Germanium

1967 • 219 citations

Reformulation of the Screened Heine-Abarenkov Model Potential

1967 • 208 citations

An Augmented Plane Wave Method for the Periodic Potential Problem

1953 • 205 citations

Electron-ion pseudopotentials in the alkali metals

1968 • 202 citations

Relativistic Corrections to the Band Structure of Tetrahedrally Bonded Semiconductors

1963 • 188 citations

TheTmatrix, theKmatrix, d bands andl-dependent pseudo-potentials in the theory of metals

1965 • 182 citations

Metallic Binding According to the Combined Approximation Procedure

1936 • 171 citations

Approximate formulation of the orthogonalized plane-wave method

1959 • 158 citations

Energy Bands in PbTe

1965 • 157 citations

The Fermi surfaces of copper, silver and gold. II. Calculation of the Fermi surfaces

1962 • 153 citations

Composite Wave Variational Method for Solution of the Energy-Band Problem in Solids

1963 • 151 citations

Theory of magnetism in transition metals

1967 • 149 citations

Energy Band Structures of Selenium and Tellurium (Kohn‐Rostoker Method)

1966 • 146 citations

The electronic structure of disordered system

1964 • 140 citations

The approximate calculation of electronic band structure

1967 • 139 citations

Localization of electrons in ordered and disordered systems II. Bound bands

1969 • 138 citations

Relativistic Theory for Energy-Band Calculation

1966 • 136 citations

Optimized model potential: exchange and correlation corrections and calculation of magnesium phonon spectrum

1969 • 122 citations

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

1953 • 118 citations

The Quantum Defect Method

1955 • 116 citations

Relativistic Electronic Structure in Crystals. I. Theory

1965 • 115 citations

Effects of Spin-Orbit Coupling in Si and Ge

1962 • 108 citations

Upper Bounds on Scattering Lengths When Composite Bound States Exist

1960 • 106 citations

Theory of condensed matter

1968 • 104 citations

Some non-structural aspects of the theory of metals

1967 • 103 citations

A new formulation of the method of nearly free electrons

1954 • 98 citations

Relativistic Band Structure and Fermi Surface of Thallium. I

1965 • 95 citations

Renormalized Atoms and the Band Structure of Transition Metals

1970 • 94 citations

An energy-independent method of band-structure calculation for transition metals

1969 • 94 citations

Elements of advanced quantum theory

1970 • 92 citations

The electronic structure of liquid insulators

1963 • 89 citations

Modifications to the Orthogonalized-Plane-Wave Method for Use in Transition Metals: Electronic Band Structure of Niobium

1967 • 88 citations

Electron-Phonon Interaction and Phonon Dispersion Relations Using the Augmented-Plane-Wave Method

1968 • 86 citations

Combined Plane-Wave Tight-Binding Method for Energy-Band Calculations with Application to Sodium Iodide and Lithium Iodide

1969 • 83 citations

The approximate calculation of electronic band structures III

1969 • 82 citations

Electronic Energy Bands in Crystals

1952 • 80 citations

Calculations of the X-ray emission bands of copper using augmented plane wave Bloch functions

1969 • 79 citations

Relativistic Formulation of the Green's Function Method in Periodic Lattices

1966 • 75 citations

The theory of transition metal band structures

1968 • 75 citations

The spin-orbit interaction in metals and semiconductors

1966 • 74 citations

Model-Potential Calculation of the Density of States in Liquid and Solid Lithium, Cadmium, and Indium

1969 • 73 citations

Relativistic Electronic Structure in Crystals. II. Fermi Surface of Tungsten

1966 • 72 citations

Scattering Model of Molecular Electronic Structure

1969 • 70 citations

Bloch waves and scattering by impurities

1966 • 69 citations

The approximate calculation of electronic band structures II. Application to copper and iron

1968 • 64 citations

A Simplified Method of Computing the Cohesive Energies of Monovalent Metals

1950 • 61 citations

Energy Bands in Diamond

1966 • 59 citations

Pseudo-potential models in the theory of band structure

1965 • 56 citations

The Orthogonalized Plane-Wave Method

1957 • 53 citations

Electron-Phonon Interaction by the Method of Pseudo-potentials

1961 • 52 citations

Pressure dependence of phonon dispersion curves in simple metals

1970 • 49 citations

Energy Bands in Cubic Boron Nitride

1967 • 49 citations

Non-Muffin-Tin Energy Bands for Silicon by the Korringa-Kohn-Rostoker Method

1970 • 47 citations

The Augmented Plane Wave and related methods for Crystal Eigenvalue Problems

1956 • 46 citations

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>T</mml:mi></mml:math>-Matrix Approach to Electron Distribution in Crystals

1964 • 46 citations

Energy Band Structure of Lithium by a Modified Plane Wave Method

1958 • 42 citations

Green's-Function Method in the Energy-Band Problem

1966 • 42 citations

Cluster-Wave Approach to the Electronic Structures of Complex Molecules and Solids

1970 • 42 citations

Electron Energy Levels in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Cu</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>Au

1967 • 41 citations

The `muffin-tin' approximation in the calculation of electronic band structure

1968 • 40 citations

Nonlocal Model Potential and Lattice Vibrations in Li

1969 • 40 citations

Relationship between the Augmented-Plane-Wave and Korringa-Kohn-Rostoker Methods of Band Theory

1966 • 39 citations

On the structure of the transition metals

1968 • 38 citations

Modified Augmented-Plane-Wave Method for Calculating Energy Bands

1969 • 37 citations

The spectrum of Alkali-atoms

1967 • 36 citations

Scattering Involving a Bound State

1960 • 36 citations

The resistivity and thermopower of liquid mercury

1969 • 36 citations

Modification of the Orthogonalized-Plane-Wave Method Applied to Copper

1969 • 33 citations

Crystal Symmetry, Group Theory, and Band Structure Calculations

1966 • 30 citations

Green's Function Method for Energy Band Calculations Including Spin‐Orbit Coupling

1967 • 28 citations

Core shifts and pseudo-potential trajectories

1965 • 28 citations

秩序系および無秩序系における電子の局在性 II 束縛バンド

1969 • 26 citations

Analytic properties of pseudo-potentials

1968 • 26 citations

Relativistic Effects on the Electronic Band Structure of Compound Semiconductors

1965 • 26 citations

Role of Orthogonalization in the Determination of Valence States in Crystals

1962 • 25 citations

Calculation of transition-metal band structures

1969 • 24 citations

The choice of muffin-tin pseudopotential

1969 • 24 citations

Energy gaps in amorphous covalent semiconductors

1970 • 24 citations

"Muffin-Tin" Potential in Band Calculations

1967 • 23 citations

The band structure of hexagonal close-packed metals: I. The cellular method

1965 • 23 citations

Energy-band structure of lithium atoms in the diamond lattice

1959 • 21 citations

Electronic Phase Shifts at the Fermi Surface of Copper

1970 • 21 citations

Eine Verallgemeinerung der Korringa‐Kohn‐Rostoker‐Methode zur Berechnung von Einelektronenzuständen in Kristallen

1967 • 21 citations

Magnetoresistance and Fermi Surface of Alkali Metals

1958 • 19 citations

On<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-Resonant Levels in Heavy Alkali Metals

1970 • 16 citations

A crucial test of the cellular method

1968 • 16 citations

Thermoelectric power for alkali metals and energy-dependent pseudopotential

1968 • 16 citations

Energy band structure of noble metals

1968 • 15 citations

Formal theory of equivalent potentials in solids: stationary-state approach and the orthogonalized plane wave pseudopotentials

1967 • 14 citations

Nonrelativistic Energy-Band Structure of Au

1970 • 12 citations

Thermoelectricity and Energy-Dependent Pseudopotentials

1969 • 12 citations

Non-local pseudopotential calculation of the Fermi surface of ordered alloys of theβ-brass type

1969 • 11 citations

Mathematical Models and Physical Toys

1965 • 10 citations

Alternative Transition-Metal Pseudopotential

1969 • 10 citations

Formal theory of equivalent potentials in solids: II. Scattering theory approach for muffin-tin potentials

1967 • 10 citations

Form Factors of Truncated Atomic Potentials

1968 • 8 citations

Rapidly convergent pseudopotentials for crystalline systems

1969 • 7 citations

Band theory, the K-matrix and overlapping potentials

1967 • 7 citations

A modified Green function for periodic potentials

1967 • 6 citations

Use of orthogonalized plane waves in the many-electron problem

1966 • 6 citations

Neuere Methoden und Ergebnisse der Bandstruktur-berechnung in Halbleitern

2007 • 3 citations

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