Question

What are all of the possible values of l, ml, and ms for n = 5? (Select all that apply.) l: 0 1 2 3 4 5 6 ml: 0 −1, +1 −2, +2 −3, +3 −4, +4 −5, +5 −6, +6 ms: 0 +1/2, −1/2 +1, −1 +3/2, −3/2 +2,

What are all of the possible values of l, ml, and ms for
n = 5?
(Select all that apply.)
l:
0
1
2
3
4
5
6
ml:
0
−1, +1
−2, +2
−3, +3
−4, +4
−5, +5
−6, +6
ms:
0
+1/2, −1/2
+1, −1
+3/2, −3/2
+2, −2

Answer 1

For n=5, the possible values are: l can be 0, 1, 2, 3, or 4; ml ranges from -l to +l for each value of l; and ms can only be +1/2 or -1/2.

Step-by-step explanation:

For an electron in an atom with principal quantum number n = 5, the possible values of the quantum numbers are determined by quantum mechanics rules.

Possible values of l

The azimuthal (or angular momentum) quantum number l can have values from 0 up to n - 1. Therefore, for n = 5, l can be: 0, 1, 2, 3, or 4.

Possible values of ml

The magnetic quantum number ml can range from -l to +l in integer steps. So, for each value of l, ml could be:

• For l = 0: ml = 0
• For l = 1: ml = -1, 0, +1
• For l = 2: ml = -2, -1, 0, +1, +2
• For l = 3: ml = -3, -2, -1, 0, +1, +2, +3
• For l = 4: ml = -4, -3, -2, -1, 0, +1, +2, +3, +4

Possible values of ms

The spin quantum number ms represents the electron spin and can have only two possible values, which are +1/2 and -1/2 regardless of the values of n, l, or ml.