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On the homology of lattice vibrations of alkali metals

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Czechoslovak Journal of Physics B Aims and scope

Abstract

Investigations of the dependence of lattice vibrations of alkali metals on their interatomic distance,r reveal that they satisfy an empirical relation,Mv 2 r α=δ(q), a constant which depends onα, with q=2·48 ± 0·19 at all wave vectors and hence are homologous. It is shown that the observed crossover of [ζ00] branches of lithium is not an anomalous property, but only manifests itself in alkali metals with smaller interatomic distance due to small variations of α. The role played by interatomic distance which is closely related to that of the electron gas constantC′ in producing a crossover and a possible reason for the observed homology are discussed.

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Authors and Affiliations

  1. Department of Physics, Indian Institute of Technology, 110 029, New Delhi, India

    V. Ramamurthy & M. Satishkumar

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  1. V. Ramamurthy
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  2. M. Satishkumar
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The authors are grateful to Professor B. Sharan and Mr. S. B. Rajendraprasad for many valuable and stimulating discussions. One of the authors (M. S.) is greatly indebted to Professor D. M. Sen, principal, and Professor L. V. Sud of Regional Engineering College, Kurukshetra, for granting him study leave.

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Ramamurthy, V., Satishkumar, M. On the homology of lattice vibrations of alkali metals. Czech J Phys 30, 167–174 (1980). https://doi.org/10.1007/BF01595681

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  • DOI: https://doi.org/10.1007/BF01595681

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