Question

In: Chemistry

Which of the following set of quantum numbers (ordered n, ℓ, mℓ, ms) are possible for...

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

Solutions

Expert Solution

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

ml has values from -l to +l including 0

ms 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 ml(-2) could not exceed l value(1)

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

2, 1, 0, 1        (impossible)           since ms 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)


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