Hoenl-London factors for diatomic molecules
The Hönl-London factors indicate how the total intensity of a transition is distributed among the branches, i.e. the relative intensity found in the R-, P- and Q-branch. For diatomic molecules (with Λ as ground state, Λ' as excited state and ΔΛ = Λ' − Λ, these factors a calculated using the following formulas.
| ΔΛ = 0 |
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| SJP = | (J'' + Λ'') (J'' − Λ'') | |
| J'' |
| ΔΛ = +1 | SJR = | (J'' + 2 + Λ'') (J'' + 1 + Λ'') |
| 4 (J'' + 1) | ||
| SJQ = | (J'' + 1 Λ'') (J'' − Λ'') (2J'' + 1) | |
| 4 J'' (J'' + 1) | ||
| SJP = | (J'' − 1 − L'') (J'' − L'') | |
| 4 J'' |
| ΔΛ = − 1 | SJR = | (J'' + 2 &minus Λ'') (J'' + 1 − Λ'') |
| 4 (J'' - 1) | ||
| SJQ = | (J'' + 1 − Λ'') (J'' + Λ'') (2J'' + 1) | |
| 4 J'' (J'' +1) | ||
| SJP = | (J'' − 1 −Λ'') (J'' + Λ'') | |
| 4 J'' |
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