An attempt is made to study the Einstein relation of the diffusivity-mobility ratio of carriers in ultrathin films of nonparabolic semiconductors in the presence of an arbitrarily oriented magnetic field. This is done on the basis of a new electron dispersion law. It is found, taking Hg, -,Cd,Te and In, -xGa&yP, -y lattice-matched to InP as examples, that the diffusivity-mobility ratio increases with increasing surface electron concentration and decreasing alloy composition and film thickness in various oscillatory manners. The magnetic field enhances the numerical value of the diffusivity-mobility ratio and an experimental method is suggested to determine it in degenerate materials with arbitrary dispersion laws, In addition, the well-known corresponding results for relatively wide-gap materials in the absence of a magnetic field are obtained as special cases of our generalized analysis.') 92, Acharya Prafulla Chandra Road,