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Transition Metal Compounds Daniel I. Khomskii Cambridge University Press, 2014 496 pages, $125.00 ISBN 978-1-107-0217-7

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his book gives an overview of transition-metal compounds and the physics of highly correlated systems. The application areas discussed include magnetoelectricity, multiferroicity, high-Tc superconductivity, and spintronics. These systems are classified around a few concepts, including the interelectron Coulomb repulsion between metal sites (U), the site-to-site electron hopping matrix element between metal sites (t), and the number of electrons per site (n). Chapter 1 describes the simplest system, Mott insulators, where all the sites are occupied (n = 1), and there is strong electron correlation (U/t >> 1). Chapters 2–8 present modifications of the simple model that give more realistic descriptions of these materials. Chapter 2 summarizes the behavior of isolated transition-metal ions, including atomic physics and the behavior of d orbitals and Hund’s rules and spin–orbit interaction. Chapter 3 focuses on the behavior of transitionmetal ions in crystals, discussing crystal field splitting, the Jahn–Teller effect, the behavior of high-spin versus low-spin

states, spin–orbit coupling effects, and the principles of crystal structure formation. Chapter 4 highlights the role of the oxygen ligand in electron hopping between metal atoms, where oxygen has a small effect on the hopping rate in Mott–Hubbard insulators and a large effect in charge-transfer insulators. Chapter 5 discusses a wide variety of magnetic structures and their effect on the character, sign, and strength of the exchange interaction. These concepts are applied to magnetic anisotropy, magnetostriction, and weak ferromagnetism. Spinels, face-centered-cubic lattices, and frustrated magnets are given as magnetic ordering examples. Chapter 6 describes the cooperative Jahn–Teller effect, where structural phase transitions lead to splitting of the degenerate crystal orbitals. Chapter 7 describes ordering phenomena associated with charge degrees of freedom. There is an extensive discussion of charge ordering occurring with systems having non-integer numbers of electrons per site. Chapter 8 builds on the concepts developed in chapter 7 and discusses magnetoelectrical coupling in multiferroic materials.

Reviewer: Thomas M. Cooper of the Air Force Research Laboratory, USA.

growth and characterization. Its unique purview is to cover the basics of both crystallography and crystal growth, tandem topics that are interrelated. It is both quantitative, with many equations, and descriptive: it is profusely illustrated with insightful figures that make important ideas and theories clear. A few examples are scattered throughout the book demonstrating how the equations are used. It does not contain problems, as would be helpful for a textbook. Its treatment is very modern: it draws on the many discoveries and detailed understanding made possible

Introduction to Crystal Growth and Characterization Klaus-Werner Benz and Wolfgang Neumann Wiley-VCH, 201