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Physics
Atomic and Condensed Matter
Combination differences with spin
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[QUOTE="Herzberg137, post: 6590872, member: 697017"] Combination differences should still work for quantum number assignment in the sense that the energy differences between ground states sharing a common excited state (or vice versa) must satisfy certain equalities. For example, for the ##^2\Pi_{1/2} - ^2\Sigma^+## case that you mention, you'll find that ##R_{11}(N-1) - Q_{12}(N+1) = Q_{11}(N-1) - P_{12}(N+1)## and ##P_{11}(N)-Q_{12}(N) = Q_{11}(N)-R_{12}(N)##. But there's a bigger question here: what molecule are you trying to analyze? Have either of the states in your transition been observed before? If their constants are known, you'll have a much different task than if you're studying a brand new molecule. [/QUOTE]
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Combination differences with spin
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