If the choices are:
a.) 1,3.0,1/2
b.) 3,2,-1,-1/2
c.) 1,0,0,-1/2
d.) 2,1,1,1/2
e.) 2,-2,-2,-1/2
f.) 3,2,0,1/2
g.) 0,2,0,1/2
h.) 2,2,1,1/2
i.) 3,3,-2,-1/2
j.) 4,3,3,-1/2
k.) 4,3,4,-1/2
l.) 3,2,1,1
The "rules" for the quantum numbers are:
* n is the energy shell: n = 1, 2, ...
* ℓ is the subshell, the orbital: ℓ = 0, 1, ... n - 1 (s, p, d etc.)
* mℓ is the specific orbital: mℓ = 0, ±1, ... ±ℓ
* ms is the electron spin: ms = ±½
(n, ℓ, mℓ, ms)
a.) Invalid, ℓ can not be greater than n - 1.
b.) Valid
c.) Valid
d.) Valid
e.) Invalid, ℓ can not be negative
f.) Valid
g.) Invalid, n can not be 0, ℓ can not be greater than n - 1
h.) Invalid, ℓ can not be greater than n - 1
i.) Invalid, ℓ can not be greater than n - 1
j.) Valid
k.) Invalid, mℓ can not be greater than ℓ
l.) Invalid, ms can not be 1