The shifted eigenvalue problem and phonon frequencies

Michael Thorpe

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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
Volume7
Issue number22
DOIs
StatePublished - 1974
Externally publishedYes

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eigenvalues
Ions
Crystals
crystals
ions

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

The shifted eigenvalue problem and phonon frequencies. / Thorpe, Michael.

In: Journal of Physics C: Solid State Physics, Vol. 7, No. 22, 007, 1974, p. 4037-4042.

Research output: Contribution to journalArticle

Thorpe, Michael. / The shifted eigenvalue problem and phonon frequencies. In: Journal of Physics C: Solid State Physics. 1974 ; Vol. 7, No. 22. pp. 4037-4042.
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