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

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

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

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

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

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

Expert Solution

genius_generous answered 1 year ago

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