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. Check all that apply.

5, 3, 0, 1/2

-3, 2, 2, -1/2

4, 2, -1, -1/2

3, 1, -2, -1/2

5, 3, 4, 1/2

2, 1, 0, 1

2, 4, 1, -1/2

5, 3, -3, 1/2

Answer 1

The values l depent on n value & l has values from 0 to (n-1)

m_l has values from -l to +l including 0

m_s has wo values +(1/2) & -(1/2)

5, 3, 0, 1/2      ( possible)

-3, 2, 2, -1/2   ( impossible)           Since n could not take -ve values(-3)

4, 2, -1, -1/2    (possible)

3, 1, -2, -1/2    (impossible)           Since the value of m_l(-2) could not exceed l value(1)

5, 3, 4, 1/2     (impossible)           Since the value of m_l(4) could not exceed l value(3)   

2, 1, 0, 1        (impossible)           since m_s has only +(1/2) & -(1/2) but not 1

2, 4, 1, -1/2    ( impossible)           Since the value of l could not exceed the value of n

5, 3, -3, 1/2     (possible)