Monte Carlo computations of the electron backscattering coefficient as a function of the primary energy in the range 500 eV-5 keV for several bulk targets (Al, Si, Cr, Ni, Cu, Ge, Au) are provided. Monte Carlo simulated backscattering coefficients from several surface thin layers are also provided as a function of the electron primary energy and film thicknesses. While the elastic scattering cross-sections have been calculated by the relativistic partial wave expansion method, the stopping power data utilized by the Monte Carlo code are taken from the literature.