How to estimate isotropic distributions and mean values in crystalline solids

Grazyna Kontrym-Sznajd, Stephen B Dugdale

Research output: Contribution to journalArticle (Academic Journal)peer-review

6 Citations (Scopus)
356 Downloads (Pure)


The concept of special directions in the Brillouin zone and the applicability of Houston's formula (or its extended versions) to both theoretical and experimental investigations are discussed. We propose some expressions to describe the isotropic component in systems having both cubic and non-cubic symmetry.

The results presented have implications for both experimentalists who want to obtain average properties from a small number of measurements on single crystals, and for theoretical calculations which are to be compared with isotropic experimental measurements, for example coming from investigations of polycrystalline or powder samples. As George Orwell might have put it: all directions are equal, but some directions are more equal than others.

Original languageEnglish
Article number435501
Number of pages9
JournalJournal of Physics Condensed Matter
Publication statusPublished - 7 Oct 2015

Bibliographical note

Date of Acceptance: 14/09/2015


  • isotropic average
  • debye temperature
  • specific heat
  • compton scattering


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