The
l
quantum number designates the electron subshell.
The
m
l
quantum number designates the number of electron states in each electron subshell.
The
m
s
quantum number designates the spin moment on each electron.
2.6
For the
L
state,
n
= 2, and eight electron states are possible. Possible
l
values are 0 and 1, while
possible
m
l
values are 0 and ±1.
Therefore, for the
s
states, the quantum numbers are 200(
1
2
) and
200(
−
1
2
) . For the
p
states, the quantum numbers are 210(
1
2
) , 210(
−
1
2
) , 211(
1
2
) , 211(
−
1
2
),
21(-1)(
1
2
) , and 21(-1)(
−
1
2
).
For the
M
state,
n
= 3, and 18 states are possible.
Possible
l
values are 0, 1, and 2;
possible
m
l
values are 0, ±1, and ±2; and possible
m
s
values are
±
1
2
. Therefore, for the
s
states,
the quantum numbers are 300(
1
2
) , 300(
−
1
2
) , for the
p
states they are 310(
1
2
) , 310(
−
1
2
) , 311(
1
2
) ,
311(
−
1
2
), 31(-1)(
1
2
) , and 31(-1)(
−
1
2
);
for the
d
states they are 320(
1
2
) , 320(
−
1
2
) , 321(
1
2
) ,
321(
−
1
2
), 32(-1)(
1
2
−
1
2
) , 322 (
1
2
) , 322 (
−
1
2
) , 32(-2) (
1
2
) , and 32(-2) (
−
1
2
).