| The Method | |
| Basics of Electronic Structure Calculations | p. 3 |
| Density Functional Theory | p. 4 |
| Methods for Solving the Kohn-Sham Equations | p. 6 |
| Chemical and Magnetic Disorder | p. 8 |
| Resume of the EMTO Method | p. 10 |
| The Present Monograph | p. 11 |
| Genuineness | p. 12 |
| The EMTO Program Package | p. 12 |
| Exact Muffin-tin Orbitals Method | p. 13 |
| The Exact Muffin-tin Orbitals Formalism | p. 14 |
| Optimized Overlapping Muffin-tin Wells | p. 14 |
| Exact Muffin-tin Orbitals | p. 16 |
| Kink Cancelation Equation | p. 20 |
| Overlap Matrix | p. 22 |
| The Fermi Level | p. 24 |
| Electron Density | p. 25 |
| The Poisson Equation | p. 27 |
| Spherical Cell Approximation | p. 27 |
| The Effective Potential | p. 30 |
| Potential Sphere Radius s[subscript R] | p. 33 |
| Slope Matrix | p. 37 |
| Inhomogeneous Dyson Equation | p. 38 |
| The High-Low Off-diagonal Slope Matrix | p. 40 |
| Energy Derivatives of S[superscript a] | p. 41 |
| Hard Sphere Radius a[subscript R] | p. 42 |
| Real Space Cluster | p. 45 |
| Numerical Determination of the Slope Matrix | p. 47 |
| Systems with Narrow Bandwidth | p. 47 |
| Systems with Wide Bandwidth | p. 50 |
| Two-center Expansion | p. 56 |
| Full Charge Density Technique | p. 50 |
| Shape Function Technique | p. 60 |
| Numerical Calculation of the Shape Function | p. 61 |
| The l-convergence of the Shape Function | p. 65 |
| The FCD Total Energy | p. 67 |
| Kinetic Energy | p. 68 |
| Exchange-correlation Energy | p. 68 |
| Intra-cell Electrostatic Energy | p. 69 |
| Inter-cell Electrostatic Energy | p. 70 |
| Electrostatic Interaction of Neighboring Cells | p. 71 |
| The l Summations | p. 75 |
| The EMTO-CPA Method | p. 83 |
| Coherent Potential Approximation | p. 83 |
| Fundamentals of the EMTO-CPA Method | p. 86 |
| Average EMTO-CPA Green Function | p. 86 |
| Full Charge Density | p. 88 |
| The EMTO-CPA Effective Potential | p. 90 |
| The EMTO-CPA Total Energy | p. 91 |
| EMTO-CPA Method versus Other CPA Methods | p. 93 |
| Applications | |
| Ground-state Properties | p. 97 |
| Equation of State | p. 98 |
| Single Crystal Elastic Constants | p. 101 |
| Numerical Calculation of the Elastic Constants | p. 103 |
| Polycrystalline Elastic Constants | p. 110 |
| Averaging Methods | p. 111 |
| Surface Energy and Stress | p. 115 |
| Numerical Calculation of the Surface Energy and Stress | p. 116 |
| Stacking Fault Energy | p. 117 |
| Numerical Calculation of the Stacking Fault Energy | p. 118 |
| Some Ideas about the Atomistic Modeling of the Mechanical Properties of Alloys | p. 119 |
| Recommendations for EMTO Calculations | p. 121 |
| Ordered Solids | p. 125 |
| Simple and Transition Metals | p. 125 |
| Equilibrium Bulk Properties | p. 125 |
| Vacancy Formation Energy | p. 130 |
| Surface Energy and Stress of Transition Metals | p. 132 |
| Non-metallic Solids | p. 136 |
| Equation of State for Selected Semiconductors and Insulators | p. 136 |
| Elastic Properties of Solid Helium under Pressure | p. 137 |
| The Magnesium-silicate and Scandium-aluminate Perovskites | p. 141 |
| Transition-metal Nitrides | p. 145 |
| Binary Alloys | p. 149 |
| The Single-site Approximation | p. 149 |
| Light Metal Alloys | p. 151 |
| Aluminum-Lithium Alloys | p. 151 |
| Other Aluminum-based Alloys | p. 158 |
| Magnesium-Aluminum Diboride | p. 160 |
| Hume-Rothery Alloys | p. 161 |
| Copper-Zinc Alloys | p. 162 |
| Cubic Silver-Zinc Alloys | p. 163 |
| Hexagonal Silver-Zinc Alloys | p. 160 |
| Binary Transition-metal Alloys | p. 173 |
| Iron-Magnesium Alloys at High Pressure | p. 173 |
| Elastic Constants of Vanadium-Niobium Alloys | p. 175 |
| Ferromagnetic Fe-based Binary Alloys | p. 178 |
| Paramagnetic Fe-based Binary Alloys | p. 179 |
| Cerium-Thorium Alloys | p. 181 |
| Surface Concentration Profile | p. 184 |
| Iron-chromium -nickel Alloys | p. 189 |
| Modeling the Alloy Steels | p. 189 |
| Elastic Properties of Alloy Steels | p. 191 |
| Elastic Constants of FeCrNi Alloys | p. 191 |
| Elastic Property Maps | p. 194 |
| Quaternary FeCrNi-based Alloys | p. 196 |
| Misfit Parameters of FeCrNiM Alloys | p. 198 |
| Stacking Fault Energy of Alloy Steels | p. 200 |
| Theoretical Stacking Fault Energy versus Experimental Data | p. 200 |
| Magnetic Stacking Fault Energy | p. 203 |
| Auxiliary Material | |
| Exchange-correlation Approximations | p. 209 |
| Local Density Approximation | p. 210 |
| Generalized Gradient Approximation | p. 212 |
| Local Airy Gas Approximation | p. 213 |
| Mathematical Relations | p. 215 |
| Real Harmonics | p. 215 |
| Rotation Matrix | p. 217 |
| Bessel and Neumann Functions | p. 217 |
| Residue Theorem | p. 219 |
| Self-consistent Total Energy Calculations | p. 221 |
| Numerical Details for Chapter 7 | p. 221 |
| Numerical Details for Chapter 8 | p. 222 |
| Numerical Details for Chapter 9 | p. 222 |
| References | p. 225 |
| Index | p. 237 |
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