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Here are the term symbols for the given electron configurations:
a. s1
2S+1L(J): Since there's one electron (s1), S (spin multiplicity) = 1/2. L (orbital angular momentum) = 0 for an s orbital. Therefore, J = S = 1/2.
Term symbol: 2S1/2
b. p1
2S+1L(J): S = 1/2, L = 1 for a p orbital. J can be L + S or L - S, resulting in J = 3/2 or 1/2.
Term symbols: 2P3/2, 2P1/2
c. s1p1
2S+1L(J): We need to consider the possible spin combinations for the two electrons. The total spin can be S = 0 (antiparallel spins) or S = 1 (parallel spins). L = 1 for the p orbital.
For S = 0 (antiparallel): J = L = 1, Term symbol: 1P1
For S = 1 (parallel): J = 2, 1, 0 (from L + S to L - S). Term symbols: 3P2, 3P1, 3P0