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For a sub-energy level with an azimuthal quantum number of 4, what are the highest and lowest possible spin multiplicities?

1. 4, -4
2. 9, 1
3. 10, 1
4. 10, 2

Correct answer: 10, 1

Solution

For l=4 (g subshell) there are 2l+1 = 9 orbitals. Maximum spin multiplicity occurs with 9 unpaired parallel electrons: S=9/2, multiplicity = 2S+1 = 10. Lowest multiplicity (all paired or empty) is 1. So highest and lowest are 10 and 1, not 9 and 1.

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