One of basic issues in thermal infrared remote sensing geology is the variation law of mineral emissivity spectra with mineral granularity and emission angle, and the law is required when several kinds of ground information are retrieved such as temperature, emissivity and mineral. Finally, the variation law of mineral emissivity spectra with granularity and emission angle is summarized, and the problem of Hapke emissivity model is analyzed. The research results show that, Hapke radiative transfer model could be used to simulate minerals emissivity spectral and variation, and some fine spectral features are different from measured spectral probably owing to Hapke model hypothesis in which multi-scattering radiation is isotropic.