The electron spin relaxation times in a system of electrons interacting with
piezoelectric phonons mediated through spin-orbit interactions were calculated
using the formula derived from the projection-reduction method. The results
showed that the temperature and magnetic field dependence of the relaxation
times in InSb and InAs were similar. The piezoelectric material constants
obtained by a comparison with the reported experimental result were Ppe = 4.0 x
10^21 eV/m for InSb and Ppe = 6.7 x 10^21 eV/m for InAs. The relaxation of the
electron spin can be explained by the Elliot-Yafet process at a high field
limit