Analytical representations of the Mössbauer recoilless fraction, Debye-Waller factors, lattice energies, and heat capacities

C. K. Shepard, Mi Ae Park, P. A. Polstra, J. G. Mullen

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Simple analytical expansions are given for the recoilless fraction in Mössbauer spectroscopy, the Debye-Waller factor in X-ray scattering, and the lattice energy and heat capacity of solids. While this problem has been discussed in an earlier paper [1], computer technology has now advanced to the point that direct evaluations of the simple expansions of these quantities are useful for quick curve fitting to experimental data at any desired temperature, and these expansions are easier to evaluate than using graphs to estimate recoilless fractions and Debye temperatures. We compare this approach with a polynomial expansion in terms of Bernoulli numbers, which has only a limited domain of convergence. We explicitly evaluate the convergence of these Debye integral expansions as a function of the number of terms used and the time required.

Original languageEnglish (US)
Pages (from-to)1227-1234
Number of pages8
JournalHyperfine Interactions
Volume92
Issue number1
DOIs
StatePublished - Dec 1994
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry

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