Give three distinct examples of quantum number combinations that cannot occur, and explain why they are impossible. Each example should illustrate a separate violation.
(0,0,3,-1/2) - This combination cannot exist because the n #(the energy level) cannot be 0.
(3,3,1,1/2) - This combination doesn't exist because it has the n and the l numbers the same.This is not possible.
(1,2,1,1/2) - This combination doesn't work because of the n and l numbers. The second number (l=2) represents a d orbital, but level (n=1) does not have a d orbital, making these quantum numbers impossible.