Partial relaxation magnitudes for anelastic and dielectric relaxation due to point defects

Abstract

This paper continues the development of a general theory of anelastic and dielectric relaxation of crystals containing point defects, when such defects can react to form different species each of which may occur in several crystallographically equivalent orientations. The present objective is to calculate the partial relaxation magnitudes when such defects give rise to more than one relaxation (e.g. more than one Debye peak) of a given elastic or dielectric constant. A general calculation is presented which incorporates both the thermodynamic and kinetic, aspects of the relaxation process. In particular, each partial magnitude is associated with one relaxational normal coordinate, rather than with a particular defect species. The results are then reviewed in a form suitable for the reader who wishes to use them without going through the detailed derivation. Finally, the theory is applied to some specific cases, in particular, to the substitutional-interstitial pair in b.c.c. metals.