Answer:
(a) ml = 0, ±1, ±2
(b) ml = 0
(c) ml = 0, ±1, ±2, ±3, ±4
Explanation:
The rules for electron quantum numbers are:
1. Shell number, 1 ≤ n
2. Subshell number, 0 ≤ l ≤ n − 1
3. Orbital energy shift, -l ≤ ml ≤ l
4. Spin, either -1/2 or +1/2
So in our exercise,
(a) l = 2; equivalent with with sublevel d
-l ≤ ml ≤ l, ml = 0, ±1, ±2, equivalent with dxy, dxz, dyz, dx2-y2, dz2
(b) n = 1;
n = 1, only 01 level
l = 0, equivalent with sublevel s
ml = 0
(c) n = 4, l = 3.
l = 3, equivalent with sublevel f
ml = 0, ±1, ±2, ±3, ±4
