Identify which sets of Quantum Numbers are valid for an electron. Each set is ordered (n,ℓ, mℓ, ms).

3,2,0,1/2

2,2,-1, 1/2

4,3,-4,1/2

1,0,0,1/2

2,2,1,-1/2

3,2,1,1

0,1,1,-1/2

3,3,1,1/2

2,-2,-2,-1/2

3,2,2,1/2

4,2,1,1/2

2,1,-1,-1/2

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