Molecule Types Linear Molecules Transition Moments

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:

g_Lμ_BB.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.The effective electronic matrix elements are:

<Λ+Component,SΣ',Ω'|g_Lμ_BL|Λ,SΣ,Ω,> = δ_Σ'Σ δ_Ω'Ω Strength

The requirement for Σ' = Σ is dropped if the electron spin is different between the two states. The matrix element with Λ' = Λ-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 linear molecules this will normally be the change in Λ for the transition.

Parameters

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