Liquid Metals (eBook)

International Series of Monographs In: Natural Philosophy

N. H. March (Autor)

D. ter Haar (Herausgeber)

eBook Download: PDF

2017 | 1. Auflage
142 Seiten
Elsevier Science (Verlag)
978-1-4831-5479-4 (ISBN)

Infos

Liquid Metals covers topics about the properties of liquid metals, with emphasis on the microscopic description of the electron states. The book discusses radial distribution function, which is the quantitative way by which the structure of a monatomic fluid may be described, and the scattering of X-rays (or neutrons) from the fluid. The text describes the way by which the forces operating in liquid metals may be qualitatively described; the theory of electron screening in metals; the shielding of a structureless ion core in the Born approximation; and ways by which the structure of the ion core can profoundly influence the shielding. The forces operating between ions in liquid metals; the properties of solid metals; the time-dependent generalization of the structure factor; the dynamics of fluids from inelastic neutron scattering; and the nature of the energy level spectrum of the electrons in a liquid metal are also considered. Students of elementary quantum mechanics and statistical thermodynamics and physicists will find the book invaluable.

Inhalt

Front Cover 1
Liquid Metals 4
Copyright Page 5
Table of Contents 6
Preface 8
CHAPTER 1. Outline 10
Liquid Metals 11
CHAPTER 2. Liquid structure 12
2.1 Debye's formula 12
2.2 Monatomic liquids 14
2.3 Radial distribution function and structure factor 15
2.4 Forces and structure 16
2.5 Ornstein-Zernike direct correlation function 17
2.6 Localization of direct correlation function in . space for 
19 
CHAPTER 3. Electron theory 25
3.1 Pair potential for insulating fluid argon 25
3.2 Fermi momentum distribution 26
3.3 Ionic shielding 28
3.4 Dielectric constant 34
3.5 Electrostatic ion-ion interaction 36
CHAPTER 4. Statistical theory 39
4.1 Born-Green theory 40
4.2 Hyperchain and Percus-Yevick theories 41
4.3 Force correlation function and thermodynamic consistency 43
CHAPTER 5. Pair potentials 45
5.1 Direct correlation function and pair potential 46
5.2 Potentials for AI, Pb and Ga 50
5.3 Molecular dynamics and pair potential for Na 53
5.4 Asymptotic form of radial distribution function 56
CHAPTER 6. Melting 59
6.1 Mukherjee's relation 59
6.2 Order-disorder theory of melting 63
6.3 Comparison with experiment 64
CHAPTER 7. Electrical transport 67
7.1 Probability of scattering by a single ion 68
7.2 Distribution function in electric field 70
7.3 Relaxation time 72
7.4 Calculation of current 73
7.5 Ion-ion correlations and electron scattering 74
7.6 Choice of scattering potential U(K) 75
7.7 Thermoelectric power 80
7.8 Hall coefficient 81
7.9 Blurring of Fermi surface 82
7.10 Optical properties 84
7.11 Alloys 85
CHAPTER 8. Liquid dynamics 88
8.1 Definition of van Hove correlation function 88
8.2 Models of self-correlation function 92
8.3 Neutron scattering law 94
8.4 Small time expansion of intermediate scattering function 95
8.5 Expansion of velocity correlation function 96
8.6 Large . expansion of self-correlation function 97
8.7 Comparison with machine calculations and with experiment 98
8.8 Coherent scattering function 101
8.9 Sum rules 104
CHAPTER 9. Electron states 106
9.1 Green function calculation 108
9.2 Perturbation theory 109
9.3 Partial summation of Green function series 110
9.4 Results 111
APPENDIX 1: Long-wavelength limit of structure factor 116
APPENDIX 2: Dielectric function of high density Fermi gas 118
APPENDIX 3: 
 
120 
APPENDIX 4: Structure factor and direct correlation function for hard spheres 124
APPENDIX 5: Asymptotic relation between total and direct correlation functions for van der Waals fluids 128
A5.1 Diagrammatic methods 128
AS.2 Born-Green theory 129
APPENDIX 6: Conductivity and van Hove correlation function 132
Notes added in proof 134
References 135
Index 140

Produkt-Details

• Erscheint lt. Verlag: 4.5.2017
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Chemie ► Anorganische Chemie
• Themenwelt: Technik
• ISBN-10: 1-4831-5479-3 / 1483154793
• ISBN-13: 978-1-4831-5479-4 / 9781483154794