Strict bounds for out-of-band frequencies due to impurities and defects in solids
- 1 February 1968
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 1 (1), 22-34
- https://doi.org/10.1088/0022-3719/1/1/303
Abstract
A method is described for the determination of strict upper and lower bounds on the frequencies of local modes due to impurities and defects in solids. The physical basis for the method stems from the dynamical properties of a small `defect region' in the solid which surrounds the defect or impurity of interest; mathematically, the method depends upon theorems due, in their original form, to Kato. The method does not depend for its use upon the availability of tabulated data.Keywords
This publication has 4 references indexed in Scilit:
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