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For each of the Grotrian diagrams below, determine whether the labelled transitions are allowed, and if not, choose which of the transition rules have been violated.  Spin-orbit coupling is not considered in this question.

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ΔL = ±1 and 0 if Δl = ±1 

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ΔmJ =0, ±1 (not 0 to 0 if ΔJ= 0)

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ΔJ= 0,±1 (not 0 to 0) 

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ΔS= 0 

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ΔL = ±1 and 0 if Δl = ±1 

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ΔmJ =0, ±1 (not 0 to 0 if ΔJ= 0)

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ΔJ= 0,±1 (not 0 to 0) 

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ΔS= 0 

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ΔL = ±1 and 0 if Δl = ±1 

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ΔmJ =0, ±1 (not 0 to 0 if ΔJ= 0)

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ΔJ= 0,±1 (not 0 to 0) 

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ΔS= 0 

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ΔL = ±1 and 0 if Δl = ±1 

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ΔmJ =0, ±1 (not 0 to 0 if ΔJ= 0)

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ΔJ= 0,±1 (not 0 to 0) 

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ΔS= 0 

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ΔL = ±1 and 0 if Δl = ±1 

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ΔmJ =0, ±1 (not 0 to 0 if ΔJ= 0)

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ΔJ= 0,±1 (not 0 to 0) 

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ΔS= 0 

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