New empirical and semi-empirical formulae have been suggested for the (n, He-3) reaction cross-sections with dependent on asymmetry parameter, S = (N - Z)/A. The (n, He-3) reaction cross-sections at the energy of 14-15 MeV have been investigated for two different parameters groups by the classification of nuclei into 31 <= A <= 103 and 133 <= A <= 181. The obtained results have been compared with the other systematics and experimental data for the (n, He-3) reaction cross-sections. Some improvement has been got in describing the (n, He-3) reaction cross-sections compared with the existing relations.