Change of force constant around a point defect in a solid

The local or gap mode frequencies of a host lattice-point defect system. XY:Z may be predicted from the properties of the end member pure crystals XY and XZ alone whenever pertinent data on pure crystals are available, without invoking any arbitrary force constant softening. In this instance the molecular model has been used, and relevant examples from alkali halides are presented. A modification of the Green's function technique is also discussed.