The shifted eigenvalue problem and phonon frequencies

M. F. Thorpe

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


It is shown that there is a transformation between the phonon frequencies in certain similar crystals (eg Ge and ZnSe) if it is assumed that the force constants do not vary and only act between nearest neighbors; that is, the effect of varying the masses can be understood in a simple way. It is also shown how the partial densities of states associated with each mass can be projected out. Finally, using similar techniques, the eigenfrequencies of a simple version of the shell model in Ge are related to an equivalent rigid-ion model.

Original languageEnglish (US)
Article number007
Pages (from-to)4037-4042
Number of pages6
JournalJournal of Physics C: Solid State Physics
Issue number22
StatePublished - Dec 1 1974

ASJC Scopus subject areas

  • Condensed Matter Physics
  • General Engineering
  • General Physics and Astronomy


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