MultielectronAtomEPSolnF2011

MultielectronAtomEPSolnF2011 - M E 501 Multielectron Atom...

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ME 501 Multielectron Atom Example Problem From N. M. Laurendeau, Statistical Thermodynamics 3.12 The following exercises are concerned with determining the degeneracy of various electronic energy levels. a. Two closely-spaced, excited energy levels of atomic nitrogen have the configu - ration 1s22s 2 2p 2 3s. What are the values of Land S for each energy level? For both levels, determine the multiplicity, the term symbol and degeneracy of each member of the multiplet, and the cumulative degeneracy (neglecting multiplet splitting). b. Two low-lying, but closely-spaced, excited energy levels of calcium have the configuration ls22s 2 2p 6 3s 2 3p 6 4s3d. What are the values of L and S for each of these energy levels? For both levels, determine the multiplicity, the term symbol and degeneracy of each member of the multiplet, and the cumulative degeneracy. ?p )0, ( J2 '"L -- I [[3 -- 0 - 1- ~ - / S5 -::::- 1j2- - 2-Z 51 2- ~~ 35 :3 6 1 ~ 1- - - L 2) I J 0 ""2- J ~ p Z 8 .f- I - Z;Lf D S ~,s ---- ({?/VV\)i.
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