a) Consider the excited state of beryllium with an electron configuration of 1s22s2p.      (i) What is the...

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a) Consider the excited state of beryllium with an electronconfiguration of 1s22s2p.      (i) What isthe degeneracy of this electron configuration (i.e., how manydistinct sets of quantum numbers are consistent with thisconfiguration)?    [Note: The 2s and 2p electronsare in different sub-shells.]

   (ii) Determine the set of \"term symbols\" (e.g., 1S0,3P2, etc.) for this configuration and the degeneracy of each ofthem. Confirm that the sum of the degeneracies is equal to youranswer in (i).

b) Consider the electron configuration of titanium(1s22s22p63s23p64s23d2).

(i) Show that the possible states for this electron configurationare 1S, 1D, 1G, 3P, and 3F.   [Hint: For two electrons inthe same sub-shell, the spatial state is symmetric for even L andantisymmetric for odd L.]

(ii) Determine the values of J associated with each of these termsymbols and show how Hund’s rules determine which of these stateshas the lowest energy.

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