In this post, we will see the book Foundations Of One Electron Theory Of Solids by L. I. Yatrebov and A. A. Katsnelson.

# About the book

The book was translated from Russian by and was published in .

Credits to the original uploader.

You can get the book here.

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# Contents

Preface 7

Introduction 11

**Chapter 1. Principles of the one-electron theory**

## Part 1 Theoretical principles of the pseudopotential method

**Chapter 2. Scattering theory for “solid-state people”**

2.1. Mathematical formalism 23

2.2. Scattering on an isolated potential 31

2.3. Pseudism and scattering 46

2.4. Bound states, pseudopotentials and the convergence of series 54

2.5. Scattering theory and potential form factors 61

**Chapter 3. Theory of potential**

3.1. Potential seen by an atomic electron 69

3.2. Dielectric screening 83

3.3. The self-consistency of pseudopotential and additive screening 99

3.4. Muffin-tin potential 107

3.5. Average value of the screened potential 124

**Chapter 4. Theory of pseudopotential form factors**

4.1. Nonlocality, the energy dependence of form factors and perturbation theory 132

4.2. The OPW formfactor 144

4.3. Phase-shift form factors 157

4.4. Effective medium and pseudopotential form factors 173

**Chapter 5. Pseudism and the secular equations of band theory**

5.1. The Green’s function (or KKR) method 181

5.2. Pseudopotential secular equations 196

## Part 2 The use of pseudopotential theory for crystal-structure calculations

**Chapter 6. Formalism of crystal-structure energy calculations**

6.1. Basic assumptions 205

6.2. Band structure energy of pure metals and binary alloys 205

6.3. Electrostatic energy 223

6.4. The total internal energy of an alloy: second-order perturbation theory and the locality approximation 227

6.5. Higher-order perturbation analysis 232

6.6. OPW nonlocal alloy theory 236

**Chapter 7. Pseudopotential theory of alloys. Structure stability application**

7.1. Phase boundaries in terms of pseudopotential theory 241

7.2. Ordered phases, their structures, and existence conditions 245

7.3. Short-range order problems 256

7.4. Crystal structure stability in the OPW approach 261

**Chapter 8. Pseudopotential theory and imperfections in crystals**

8.1. Introductory remarks 267

8.2. Crystal lattice vibrations 267

8.3. Static imperfections 279

**Chapter 9. Principles of pseudopotential calculations of the properties of metals**

9.1. Genera 287

9.2. Calculation of the atomic properties of crystalline metals and alloys 287

9.3. Transport properties of noncrystalline metals and alloys 297

References 317

Index 331

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