# 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_{L}μ_{B}B.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'|g_{L}μ_{B}L|Λ,SΣ,Ω,>
= δ_{Σ'Σ} δ_{Ω'Ω+Component}
Strength

The requirement for Σ' = Σ, δ_{Σ'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. |