Temperature Dependence and Anisotropy in the Debye-Waller Factor for White Tin

R. E. DeWames, T. Wolfram, and G. W. Lehman
Phys. Rev. 131, 529 – Published 15 July 1963
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Abstract

The Debye-Walker factor, e2W, for tin is calculated using the A-S (axially symmetric) lattice dynamics model described in an earlier paper. The Debye continuum approximation is found to be unsatisfactory because the optical modes contribute significantly even at low temperatures. Calculated and experimental values determined from Mössbauer measurements are in excellent agreement in the temperature range from 0 to 300°K. Discrepancies above 300°K are attributed to higher order corrections such as anharmonicities and diffusion effects. In tin, the Debye-Waller factor depends upon the direction of gamma ray emission with the ratio 2Wx2Wz varying from 1.1 to 1.2 for T=0°K and T=300°K, respectively. The calculated anisotropy in 2W is compared with available experimental data. Dispersion curves and values of 2W calculated using Rayne and Chandrasekhar elastic data are compared with those calculated using Mason and Bömmel elastic data. The effect of the relative motion of the two sublattices on the elastic properties of tin is discussed and found to be important for the elastic constants of Rayne and Chandrasekhar.

  • Received 11 March 1963

DOI:https://doi.org/10.1103/PhysRev.131.529

©1963 American Physical Society

Authors & Affiliations

R. E. DeWames, T. Wolfram, and G. W. Lehman

  • North American Aviation Science Center, Canoga Park, California

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Issue

Vol. 131, Iss. 2 — July 1963

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