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E-book
Author March, Norman H. (Norman Henry), 1927-

Title Liquid metals : concepts and theory / N.H. March
Published Cambridge [England] ; New York : Cambridge University Press, 1990

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Description 1 online resource (xii, 492 pages) : illustrations
Series Cambridge monographs on mathematical physics
Cambridge monographs on mathematical physics.
Contents Cover; Half-title; Title; Copyright; Contents; Preface; 1 Outline; 2 Pair correlation function and structure factor of ions; 2.1 Liquid structure factor; 2.2 Ornstein-Zernike direct correlation function; 3 Thermodynamics; 3.1 Simple monatomic fluids; 3.2 Approximate methods; 3.3 Simple liquid metals; 3.4 Specifics; 3.5 One-component plasma as reference liquid; 4 Electron screening and effective ion-ion interactions; 4.1 Screening of impurity centre in electron liquid; 4.2 Lindhard dielectric function; 4.3 Introduction of exchange and correlation
4.4 Effective ion-ion interactions in simple (s-p) metals4.5 Structure factor of alkali metals modelled in terms of one-component plasma; 5 Interionic forces and structural theories; 5.1 Force equation; 5.2 Simple structural theories; 5.3 Refined structural theories: factorization of triplet correlations; 5.4 Inversion of structure factor to yield effective interionic pair potentials; 6 Statistical mechanics of inhomogeneous systems and freezing theory; 6.1 Single-particle density related to direct correlation function; 6.2 Free-energy difference between homogeneous and periodic phases
6.3 Relation to the hypernetted-chain method6.4 Verlet''s rule related to Lindemann''s law of melting; 6.5 Cluster expansion and density functional theory; 6.6 Other approximations; 6.7 Applications; 6.8 Correlation of melting temperature and vacancy formation energy; 6.9 Supercooling of liquid Rb; 7 Electronic and atomic transport; 7.1 Wiedemann-Franz law and Lorenz number; 7.2 Exact resistivity formula for finite-range spherical potential; 7.3 Weak scattering theory of electrical resistivity; 7.4 Hall coefficient; 7.5 Atomic transport; generalized Stokes-Einstein relation
7.6 Self-diffusion related to shear viscosity at the melting temperature8 Hydrodynamic limits of correlation functions and neutron scattering; 8.1 Self-motion in liquids and incoherent neutron scattering; 8.2 Frequency spectrum (or spectral function) g(co); 8.3 Van Hove dynamical structure factor S(k, CD); 8.4 Friction constant theory of transport; 8.5 Observation of collective modes; 8.6 Hubbard-Beeby theory; 8.7 Generalized shear viscosity in liquid Rb; 8.8 Transport in supercooled liquid Rb; 9 Critical behaviour; 9.1 Concept of order parameter
9.2 Liquid-vapour critical point: a second-order phase transition9.3 Ornstein-Zernike theory of static structure; 9.4 Predictions from more general equation of state; 9.5 Critical constants of fluid alkali metals; 9.6 Spinodal curves; 9.7 Dynamics of critical behaviour; 10 Electron states, including critical region; 10.1 Electron states in simple s-p metals; 10.2 Electronic structure of nonsimple liquid metals; 10.3 Partition function of a liquid metal; 10.4 Electron states in expanded liquid Hg; 10.5 Band model for electronic structure of expanded liquid caesium; 10.6 Optical properties
Summary Liquid metals remain of both fundamental and technological interest and the concepts needed to understand their properties are set out in this book, starting from a survey of the basic experimental facts to be explained. The quantitative theory of liquid pair correlation functions, effective ion-ion interactions, thermodynamic properties and electronic and atomic transport is then developed. The book goes on to discuss inelastic neutron scattering, critical behaviour, magnetism, the liquid/metal surface, binary liquid metal alloys, the two component theory of pure liquid metals, shock wave studies, liquid hydrogen plasmas and the constitution of giant planets
Bibliography Includes bibliographical references (pages 471-486) and index
Notes English
Print version record
Subject Liquid metals.
SCIENCE -- Chemistry -- Inorganic.
Liquid metals
Flüssigmetall
Vloeibare metalen.
Métaux liquides.
Form Electronic book
ISBN 9781316177952
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