Question

Which of the following set of quantum numbers (ordered n, ℓ, mℓ, ms) are possible for an electron in an atom?

Check all that apply.

Hints

Check all that apply.

2, 2, 2, 1/2

5, 3, -3, 1/2

2, 1, 0, 1

4, 3, -2, 1/2

4, 3, -4, -1/2

5, 3, 4, 1/2

4, 2, -1, -1/2

-1, 0, 0, -1/2

Answer 1

the rules are

1. n ≥ 1

2. ℓ = 0 to n − 1

3. ℓ_max = n−1.

4. mℓ = {−ℓ, −ℓ+1 ,...,−1,0,+1,...,ℓ−1,ℓ }

5.  ms=±1/2

checking the given pairs

2, 2, 2, 1/2 = not possible ℓ cannot equal to n

5, 3, -3, 1/2 = possible configaration

2, 1, 0, 1 = not possible because ms can equal only ±1/2

4, 3, -2, 1/2 = possible configaration

4, 3, -4, -1/2 = not possible because mℓ must be from -ℓ to +ℓ

5, 3, 4, 1/2 = not possible because mℓ must be from -ℓ to +ℓ

4, 2, -1, -1/2 = possible configaration

-1, 0, 0, -1/2 = not possible because n ≥ 1