Extension of the theory of the effects of anisotropic relaxation times on the hall coefficients of some dilute alloys of silver

Abstract

Abstract The recent work of the authors (1959) on the effects of anisotropic relaxation times and non-spherical energy surfaces on the Hall coefficients of some dilute alloys of silver is extended to permit the impurity relaxation time, as well as the thermal relaxation time, to be anisotropic. Also the sixth-order cubic harmonic is included in all the expansions, which had previously stopped at the fourth order harmonic. It is found that agreement with experiment may be improved or, alternatively, the same agreement as before may be obtained with more reasonable values of the empirically determined parameters, provided the thermal and impurity relaxation times can have opposite anisotropies, that is, if the minima of the one occur in the directions of the maxima of the other. It is also possible to explain the experimental results for the silver-gold system, which were at variance with the previous theory. The effects of the inclusion of the sixth-order harmonic are found to be slight, and, in particular...