Is there a simplified spin-orbit coupling equation?

[HAYAO]

Hello all.

I was wondering if there was any generalized (simplified) formulation of spin-orbit coupling equation like the ones we see for energy transfer between two species (molecules or ions). Foerster and Dexter's equation are famous simplified formulation of energy transfer. Multipole energy transfer formulation of lanthanide-to-lanthanide under the framework of Judd-Ofelt theory was also established. I know the equation for energy transfer is quite a rough approximation to the actual case, but nonetheless it helps us intuitively understand the effect qualitatively.

So then is there a formulation of spin-orbit coupling as well? Or is it simply just impossible?

Thank you.

 

[DrClaude]

What is this "spin-orbit coupling equation" you are talking about?

 

[HAYAO]

You are right, I forgot to expand on that.

I was thinking about external heavy atom effect. I was wondering if there is like a distance dependence of spin-orbit coupling between a molecule and an external heavy atom and if there is a generalized, simplified formulation of such effect.

I know it also depends on the spin and the orbit of an electron, so I would just like to focus on the heavy atom effect, or the spin-orbit coupling constant.