Pseudopotential Calculation of the Thermal Expansion Coefficient of Sodium and Potassium

Duane C. Wallace
Phys. Rev. 176, 832 – Published 15 December 1968
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Abstract

The total adiabatic potential is represented by a model based on electrostatic interactions among the ions and conduction electrons, Born-Mayer repulsion between the ions, a local pseudopotential interaction between ion cores and conduction electrons, and conduction-electron kinetic, exchange, and correlation energies. The three model parameters are determined for sodium and potassium by requiring agreement with the crystal binding energy and its first two volume derivatives at zero temperature and pressure. The phonon frequencies and Grüneisen parameters, the bulk-modulus pressure derivative, and the thermal expansion coefficient as a function of temperature are then calculated. These calculations are in good qualitative agreement with experimental results.

  • Received 15 July 1968

DOI:https://doi.org/10.1103/PhysRev.176.832

©1968 American Physical Society

Authors & Affiliations

Duane C. Wallace

  • Sandia Laboratory, Albuquerque, New Mexico 87115

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Issue

Vol. 176, Iss. 3 — December 1968

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