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The number of microstates for an f4 term symbol can be calculated using the formula (2L+1)(2S+1), where L is the total orbital angular momentum and S is the total spin angular momentum. For an f4 configuration, L can range from 0 to 6 (corresponding to the F, D, P, S, G, H, and I terms), and S can range from 0 to 2 (corresponding to the singlet, triplet, and quintet states). Therefore, the number of microstates for each term symbol is:
F term (L=3, S=2): (2
3+1)(2
2+1) = 35 microstates
D term (L=2, S=2): (2
2+1)(2
2+1) = 25 microstates
P term (L=1, S=2): (2
1+1)(2
2+1) = 15 microstates
S term (L=0, S=2): (2
0+1)(2
2+1) = 5 microstates
G term (L=4, S=2): (2
4+1)(2
2+1) = 45 microstates
H term (L=5, S=2): (2
5+1)(2
2+1) = 63 microstates
I term (L=6, S=2): (2
6+1)(2
2+1) = 81 microstates