From the following sets of quantum numbers, state which are possible. Explain why the others are not possible.
(i) `n=0, l=0, m_(l)=0, m_(s)=+1//2 " " ` (ii) `n=1, l=0, m_(l)=0, m_(s)=-1//2`
(iii) `n=1, l=1, m_(l)=0, m_(s)= +1//2 " "` (iv) `n=1, l=0, m_(l)=+1, m_(s)=+1//2`
(v) `n=3, l=3, m_(l)=-3, m_(s)=+1//2 " "` (vi)`n=3, l=1, m_(l)=0, m_(s)=+1//2`

Explanation

(i) The set of quantum numbers is not possible because the minimum value of n can be 1 and not zero.
(ii) The set of quantum numbers is possible.
(iii) The set of quantum numbers is not possible because, for n = 1 , l can not be equal to 1. It can have 0 value.
(iv) The set of quantum numbers is not possible for l = 0 , `m_(l)` cannot be + 1. It must be zero.
(v) The set of quantum numbers is not possible because, for n = 3, `l != 3`.
(vi) The set of quantum numbers is possible.