Accession Number:

AD0756671

Title:

Localized Basis for Lattice Vibrations.

Descriptive Note:

Technical rept.,

Corporate Author:

CALIFORNIA UNIV SAN DIEGO LA JOLLA DEPT OF PHYSICS

Personal Author(s):

• Kohn,Walter

Report Date:

1973-02-01

Pagination or Media Count:

14.0

Abstract:

For the case of electrons in a periodic lattice there exist extended basis functions Bloch waves and localized basis functions Wannier functions. It is shown that also for lattice vibrations there exists, in addition to the usual extended basis functions normal modes, a set of localized basis functions. These are non-trivial only for lattices with several atoms per unit cell. Examples are worked out and discussed. These functions appear to be of interest for the treatment of defects and other problems calling for a localized description. Author

Descriptors:

• (*PHONONS
• WAVE FUNCTIONS)
• BAND THEORY OF SOLIDS
• CRYSTAL LATTICES
• ELECTRONS
• VIBRATION

Subject Categories:

• Crystallography

Distribution Statement:

APPROVED FOR PUBLIC RELEASE