Raman intensity analysis of cyclic molecules—Cyclohexane

The orientational contribution to Raman or infrared intensity is obtained by the multiplication of a train of matrices J_ΦK_Φμs' u' L^-1' [Prathibha Naik, V. A. Padma, and N. Rajeshwara Rao., Pramana13, 111-116 (1979)]. This is very laborious and for a molecule like C ₆H ₁₂ the K_Φ is of the order of 54 × 18 and s', 18 × 48. It is now shown that, in many cases, J_ΦK_Φ can be cast into a constant times, the rows of us relating to the angle changes between the bonds. This gives the result of the product directly without having to regularly multiply the matrices. Also, the labor can be confined to one of the groups of the molecule as it is cyclic and the geometry of the group can be used to break up its species. Thus, one derives the formulas dealing with matrices of the order of 3 × 4. Derivation of Raman intensity formulas and intensity analysis is demonstrated for C ₆H ₁₂.