Elementary electronic structure

This text presents an account of analytic electronic structure, to be distinguished from computational electronic structure. Both are based upon a one-electron approximation, local-density theory, and the determination of the quantum-mechanical electronic states. They both seek to predict the properties of the resulting solids, or molecules on the basis of these states.In the computational mode, the minimum number of approximations are used, and numerical solutions are sought. Here we seek instead to focus on the most important aspects of the solution, making what approximations are necessary in order to proceed analytically and obtain formulae for the properties. This reducing of the problem to basics is almost always less accurate that the computational solution, but has the advantage that it displays the dependence of any property on the parameters of the system. It gives us an understanding of the property in a sense that a numerical solution, or a direct measurement, cannot. "This is a revised edition of the 1999 text on the electronic structure and properties of solids, similar in spirit to the well-known 1980 text Electronic Structure and the Properties of Solids. Current revisions include an added chapter on glasses, and rewritten sections on spin-orbit coupling, magnetic alloys, and the actinides. The text covers covalent semiconductors, ionic insulators, simple metals, and transition-metal and f-shell-metal systems. It focuses on the most important aspects of each system, making what approximations are necessary in order to proceed analytically and obtain formulae for the properties. Such back-of-the-envelope formulae, which display the dependence of any property on the parameters of the system, are characteristic of Harrison's approach to electronic structure, as is his simple presentation and his providing all of the needed parameters. In spite of the diversity of systems and materials, the approach is systematic and coherent, combining the tight-binding (or atomic) picture with the pseudopotential (or free-electron) picture. This provides parameters -- the empty-core radii as well as the covalent energies -- and conceptual bases for estimating the various properties of all of these systems. Extensive tables of parameters and properties are included. The book is written as a text, with problems at the end of each chapter, and others can readily be generated by asking for estimates of different properties, or different materials, than treated in the text. In fact, the ease of generating interesting problems reflects on the extraordinary utility and simplicity of the methods introduced. Developments since the 1980 publication have made the theory simpler than before, much more accurate, and allowed much wider application."-- Publisher's website "Harrison has provided a new text on the electronic structure and properties of solids. It is similar in spirit to his well-known 1980 text (Electronic Structure and the Properties of Solids) on the same subject but is otherwise entirely new. It covers covalent semiconductors, ionic insulators, simple metals, and transition-metal and f-shell-metal systems. It focuses on the most important aspects of each system, making what approximations are necessary in order to proceed analytically and obtain formulae for the properties."--BOOK JACKET. "The book is written as a text, with problems at the end of each chapter. Other problems can readily be generated by asking for estimates of different properties, or different materials, from those treated in the text. In fact, the ease of generating interesting problems reflects on the extraordinary utility and simplicity of the methods introduced. Developments since the 1980 publication have made the theory simpler than before, much more accurate, and allowed much wider application."--Jacket This text focuses on the electronic structure and properties of solids. It covers covalent semiconductors, ionic insulators, simple metals and transition-metal and f-shell-metal systems focusing on their most important aspects and problems are presented at the end of each chapter. The level of quantum theory needed in this book is very elementary and can be stated in a few pages.