Exact Analytical Expression and Numerical Analysis of Moments of Collision-Induced Light Scattering Over the Kihara Potential

Introduction: The collision-induced light scattering (CILS) has been a considerable effort devoted to the comparison between experimental and theoretical interactions. Method: Therefore, many methods have been applied in the theoretical calculations: one is based on an analytical expression of the motion of the pair. An analytical formula for the moment of the collision-induced scattering (CIS) over the Kihara potential is presented in this work. Due to its calculation yield, the proposed analytical formula can be used for the collision-induced polarizability in real gases. As far as we know, this work offers the first analytical formula for calculating the first two moments for the collision-induced scattering of gases by the Kihara potential. Also, the accuracy of the offered analytical expression is shown owing to its comparison with various results obtained using Lennard-Jones (LJ) (12-6) potential results. Kihara potential transformers LJ (12-6) potential when the d = 0 , potential parameter is equal to zero. Results: Therefore, the obtained results for the moment of the collision-induced scattering over the Kihara potential have been compared with the obtained results d = 0 . Conclusion: The calculations obtained are valid for the arbitrary values of temperatures, and the calculation results are in good agreement with the literature.