A novel theoretical basis for the evaluation of the thermal conductivi
ty and the thermal diffusion ratios of dilute polyatomic gas mixtures
is derived within the semi-classical isotropic kinetic theory. New exp
ressions for species diffusion coefficients, thermal diffusion coeffic
ients, and thermal diffusion ratios are also obtained by using an expa
nsion vector based upon the total energy of the molecules. Finally, pr
actical and accurate expressions for the thermal conductivity and the
thermal diffusion ratios are derived by using the recent theory of ite
rative transport algorithms, as developed by the authors. The resultin
g expressions can be used in either theoretical calculations or comput
ational models of multicomponent flows.