PeriodicTermSymGS

PeriodicTermSymGS - 3 P 2 , 3 P 1 , 3 P 1 S: L = 0, S = 0:...

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Colby College Anatomy of a Term Symbol A term symbol is a unique “nickname” for an electronic state Total orbital angular momentum: L = Σ l i degeneracy g L = 2L + 1 : M L = -L,…, 0,… L Total spin angular momentum: S = Σ s i degeneracy g S = 2S + 1 : M S = -S,…, 0,… S Total angular momentum: J = L + S J = Σ j i degeneracy g J = 2J + 1 : M J = -J,…, 0, …, J L: 0 1 2 3 4 5 Term: S P D F G H Clebsch-Gordan Series : L = l 1 + l 2 , l 1 + l 2 – 1, …, | l 1 l 2 | M L = Σ m L L = |M L | max J = L + S, L + S – 1, …, |L – S| Term Symbol : multiplicity 2S + 1 L J Orbital angular momentum total angular momentum Example: C : p 2 l 1 = 1, l 2 = 1 : L = 2, 1, 0 gives D, P, and S terms s 1 = ½, s 2 = ½ : S = 1, 0 gives triplet and singlet states 1 D: L = 2, S = 0: J = 2 : 1 D 2 3 P: L = 1, S = 1: J = 2, 1, 0:
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Unformatted text preview: 3 P 2 , 3 P 1 , 3 P 1 S: L = 0, S = 0: J = 0: 1 S Term Symbols for Selected Configurations * s 1 2 S s 2 , p 6 , d 10 1 S s 1 p 1 1,3 P s 1 d 1 1,3 D p 1 d 1 1,3 P,D,F p 1 , p 5 2 P p 2 , p 4 1 S,D; 3 P p 3 2 P,D; 4 S d 1 , d 9 2 D d 2 , d 8 1 S,D,G; 3 P,F d 3 , d 7 2 P,D,D,F,G,H; 4 P,F d 4 , d 6 1 S,S,D,D,F,G,G,I; 3 P,P,D,F,F,G,H; 5 D d 5 2 S,P,D,D,D,F,F,G,G,H,I; 4 P,D,F,G; 6 S * J. S. Winn, Physical Chemistry, Harper Collins, 1995 3 P 2 3 P 0 2 P ½ 4 S 3/2 3 P 3/2 1 S 0 3 F 4 1 S 0 3 D 3 4 F 9/2 2 S ½ 1 S 0 3 D 4 5 F 5 5 D 4 6 S 5/2 4 F 3/2 6 D ½ 4 F 3/2 3 F 2 7 S 3 5 D 0 1 S 0 2 S ½ 2 D 3/2 Fr Ra B C N O F Ac Rf/Ku Be Sc Ti Mn V Cr Fe Co Ni Cu Zn...
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