Identify which sets are valid and classify the others, by the rule or principle that is violated.

Question

The following sets of quantum numbers listed in the order in, lb, ML, and M_s were written, for the last electrons added to an atom. Identify which sets are valid and classify the others, by the rule or principle that is violated.

1. 3,0,0,+1/2 ; 3.0.0.-1/2
2. 5,1,-1,+1/2 ; 5,1,0,+1/2 ; 5,1,+1,+1/2
3. 3,2,-1,+1/2 ; 3,2,0,+1/2 ; 3,2,+1,+1/2 ; 3,2,0,+1/2 ; 3,2,+2,+1/2
4. 3,1,-1,+1/2 ; 3,1,0,+1/2 ; 3,3,+1,+1/2

Answer 1

1. 3, 0, 0, +1/2 ; 3, 0, 0, -1/2 VALID
2. 5, 1, -1, +1/2 ; 5, 1 , 0, +1/2 ; 5, 1, +1, +1/2 VALID
3. 3, 2, -1, +1/2 ; 3, 2, 0, +1/2 ; 3, 2, +1,+1/2 ; 3, 2, 0, +1/2 ; 3, 2, +2, +1/2 VIOLATES HUNDS RULE AND PAULI EXCLUSION RULE (cannot have 0,+1/2 before having +1,+1/2 and cannot have 2 electrons with 0,+1/2)
4. 3,1,-1,+1/2 ; 3,1,0,+1/2 ; 3,3,+1,+1/2 VIOLATES AUFBAU (cannot fill 3f before completing 3p)