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Orbital Magnetic Transition Moment

This is appropriate for a magnetic dipole transition moment carried by the electronic orbital angular momentum. In principle the Hamiltonian for this interaction of the electron orbital magnetic moment with an external magnetic field is:

     gLμBB.L

To allow for the most general possible interactions, the Λ dependence is not included in evaluating the matrix element, and must be included in the Strength parameter. In the absence of mixing between electronic states, using Component = 0 with Strength = Λ should give a good starting point. The effective electronic matrix elements are:

    <Λ+Component,SΣ',Ω'|gLμBL|Λ,SΣ,Ω,> =  δΣ'Σ δΩ'Ω+Component Strength

The requirement for Σ' = Σ, δΣ'Σ, is dropped if the electron spin is different between the two states.  The matrix element with Ω' = Ω-Component is derived by symmetry.

Settings

Rank Rank of transition: 1 for a normal magnetic dipole transition.
Component Projection quantum number of transition moment: 0 for a parallel transition, 1 for a perpendicular transition. For allowed transitions molecules this will be the change in Λ for the transition; in general it is the change in Ω.

Parameters

Strength Transition (dipole) moment in units of the Bohr magneton. Note that the relative intensity is proportional to the square of this value.