Question

Explain giving reasons, which of the following sets of quantum numbers are not possible.
i) n = 0, 1 = 0, m = 0 , s = +1/2
ii) n = 1, | = 0, m = 0, s = -1/2
iii) n = 3, | = 1, m = 0, s = + 1/2
iv) n = 2, | = 1, m = 0, s = - 1/2
v) n = 3, | = 3, m = -3, s = + 1/2
vi) n = 3, | = 1 , m = 0, s = + 1/2

Answer 1

(i) $n=0,l=0,m=0,s=+1/2$

Not possible

(ii) $n=1,l=0,m=0,s=-1/2$

$1s⟶$ Possible

(iii) $n=3,l=1,m=0,s=+1/2$

$3p⟶$ Possible

(iv) $n=2,l=1,m=0,s=-1/2$

$2p⟶$ Possible

(v) $n=3,l=3,m=-3,s=+1/2$

$3d⟶$ Possible

(vi) $n=3,l=1,m=0,s=+1/2$

$3p⟶$ Possible