a Theoretical Calculation of the Anisotropy in Conductivity of Zinc SingleCrystal in HighTemperature Region.
Abstract
An iteration method for solving the Boltzmann equation for the electron relaxation time tensor was introduced. The calculation for the metal zinc at high temperature was carried through in detail numerically for both oneplane wave and multipleplane waves approximations. The latter calculation shows a nonzero relaxation time right at the Brillouin Zone section of the Fermi surface. The second order correction in solving the Boltzmann equation was evaluated and it turns out to be very small. Zinc exhibits considerable elastic anisotropy with acoustic velocities higher for the modes polarized in the basal plane. As a consequence, the electron scattering is smaller for the Umklapp processes parallel to this plane and the relaxation time is correspondingly longer for conduction perpendicular to the caxis. On the other hand, the Fermi sphere, which is cut by many Brillouin Zones at large angles to the basal plane, has more distortions closer to the basal plane than to the caxis.
 Publication:

Ph.D. Thesis
 Pub Date:
 1974
 Bibcode:
 1974PhDT........17C
 Keywords:

 Physics: Condensed Matter;
 Elastic Anisotropy;
 High Temperature;
 Iterative Solution;
 Zinc;
 Boltzmann Transport Equation;
 Brillouin Zones;
 Fermi Surfaces;
 Relaxation Time;
 Single Crystals;
 SolidState Physics