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Pair Potentials in Metals and Alloys: Order, Stability, and Dynamics

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Amorphous Solids and the Liquid State

Part of the book series: Physics of Solids and Liquids ((PSLI))

Abstract

A full understanding of the physics of metallic bonding, including the energy, structure, and dynamics of perfect crystals, of defects such as substitutional impurities, vacancies, etc., of liquids and liquid mixtures, and finally of metastable phases such as glasses, requires the solution of the Schrödinger equation for 1023 electrons, all interacting with one another and with the positive ions. For a perfect crystal, Bloch’s theorem allows us to solve the equation only in one unit cell, and the electron—electron interaction problem may be greatly simplified by introducing the local-density approximation assuming that the exchange correlation potential is determined by the local electron density.

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Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Technische Universität Wien, Karlsplatz 13, A 1040, Wien, Austria

    J. Hafner

  2. Laboratoire de Thermodynamique et Physico-Chimie Métallurgiques, Domaine Universitaire, B. P. 75, F 38402, Saint Martin d’Hères, France

    J. Hafner

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  1. J. Hafner
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Editors and Affiliations

  1. Theoretical Chemistry Department, University of Oxford, 1 South Parks Road, OX1 3TG, Oxford, England

    Norman H. March

  2. Xerox Palo Alto Research Center, Palo Alto, California, USA

    Robert A. Street

  3. Istituto di Fisica Teorica dell’Università and International Centre for Theoretical Physics, Trieste, Italy

    Mario P. Tosi

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Hafner, J. (1985). Pair Potentials in Metals and Alloys: Order, Stability, and Dynamics. In: March, N.H., Street, R.A., Tosi, M.P. (eds) Amorphous Solids and the Liquid State. Physics of Solids and Liquids. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9156-3_4

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  • DOI: https://doi.org/10.1007/978-1-4757-9156-3_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9158-7

  • Online ISBN: 978-1-4757-9156-3

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