User:Corribus/Sandbox

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[edit] My Sandbox - Just for messin' around

\vec M_{l \rightarrow u}= \int \Psi_u^* \vec \mu \Psi_l \,d \tau

Even in the absense of vibronic coupling and spin-orbit coupling, which is not a great assumption for most polyatomic molecules,

\Psi \approx \psi_{el} \psi_v \psi_r

and

\vec M_{l \rightarrow u}= \vec R_eS_Jq_{v^uv^l}

where

\vec R_e=\int \psi_{el^u}^* \vec \mu \psi_{el^l} \,d \tau (Change in electronic dipole)

q_{v^uv^l}=\int \psi_{v^u}^* \psi_{v^l} \,d \tau (Franck-Condon factor)

and S_J = \int \psi_{r^u}^* \psi_{r^l} \,d \tau (Honl-London factor)