This is the basis of D'yakonov-Perel spin relaxation. Pikus et al [2] have derived an expression for the spin relaxation rate due to the D'yakonov-Perel's mechanism in bulk non-degenerate semiconductors where the carriers are in quasi equilibrium described by Boltzmann statistics. The expression is

where Q is a dimensionless quantity ranging from 0.8 – 2.7 depending on the dominant momentum relaxation process, E_g is the bandgap, t_m is the momentum relaxation time and α is a measure of Dresselhaus interaction strength given by

where m₀ is the free electron mass, m* is the electron's effective mass and is a spin-orbit splitting of the valance band. Note that eqn.(5) shows that the spin relaxation rate is inversely proportional to the momentum relaxation rate. Furthermore, it shows that the spin relaxation rate will have a strong temperature dependence even if the momentum relaxation rate is temperature independent.