### 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 language | English (US) |
---|---|

Article number | 007 |

Pages (from-to) | 4037-4042 |

Number of pages | 6 |

Journal | Journal of Physics C: Solid State Physics |

Volume | 7 |

Issue number | 22 |

DOIs | |

State | Published - Dec 1 1974 |

### ASJC Scopus subject areas

- Condensed Matter Physics
- Engineering(all)
- Physics and Astronomy(all)

## Fingerprint Dive into the research topics of 'The shifted eigenvalue problem and phonon frequencies'. Together they form a unique fingerprint.

## Cite this

Thorpe, M. F. (1974). The shifted eigenvalue problem and phonon frequencies.

*Journal of Physics C: Solid State Physics*,*7*(22), 4037-4042. [007]. https://doi.org/10.1088/0022-3719/7/22/007