term_symbols - Physics 780.04 Dr Herbst ENUMERATING THE...

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Physics 780.04 Dr. Herbst ENUMERATING THE STATES OF COMPLEX ATOMS 1. Build atomic configurations from the single-electron energy level scheme using the ordering 1s < 2s < 2p < 3s < 3p < 4s < 3d . ... and the Pauli Exclusion Principle. Example: Li (3 electrons) Lowest Configuration 1s 2 2s 1 1st Excited Configuration 1s 2 2p 1 2. Configurations may contain degeneracy. Enumerate the possible values of L and S in a given configuration. Sets of L, S values correspond to states of different energy with symbols known as term symbols. 3. The possible values of L and S within a given configuration can be deduced in the following manner: a) ignore closed shell electrons (e.g. 1s 2 or 1s 2 2s 2 or 1s 2 2s 2 2p 6 ) since they contribute only L = S = 0 b) find the number of diagrams or ψ A involving the open-shell electrons: W = no. of diagrams = N!/(M![N-M]!) N = 2(2l+1) for an unfilled shell of angular momentum l M = no. electrons in that shell EXAMPLES: 2p 2 N = 2x3 = 6 (l=1) M = 2 W = 6!/2!4!
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This note was uploaded on 06/13/2011 for the course PHYSICS 780.04 taught by Professor Staff during the Winter '07 term at Ohio State.

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term_symbols - Physics 780.04 Dr Herbst ENUMERATING THE...

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