Which of the following are permissable sets of quantum numbers for an electron i

Question

Which of the following are permissable sets of quantum numbers for an electron in a hydrogen atom? The atom may be in an excited state (ie. the electron need not be in its ground state). Choose all of the correct possibilities.

n = 3, l = 2, ml = 0, ms = +1/2

n = 5, l = 2, ml = +1, ms = -1/2

n = 3, l = 0, ml = -1, ms = -1/2

n = 3, l = -2, ml = 0, ms = -1/2

n = 4, l = 3, ml = +3, ms = -1/2

n = 4, l = 3, ml = 0, ms = -1/2

n = 2, l = 1, ml = 0, ms = -1/2

n = 4, l = 1, ml = -1, ms = +1/2

n = 4, l = 5, ml = +3, ms = -1/2

n = 4, l = 3, ml = -1, ms = 0

Explanation / Answer

n = 3, l = 2, ml = 0, ms = +1/2

This is correct

n = 5, l = 2, ml = +1, ms = -1/2

This is correct

n = 3, l = 0, ml = -1, ms = -1/2

This is not correct

for l=0, ml can only be 0

ml = -1 is not correct

n = 3, l = -2, ml = 0, ms = -1/2

This is not correct

l can’t be negative

so, l=-2 is not correct

n = 4, l = 3, ml = +3, ms = -1/2

This is correct

n = 4, l = 3, ml = 0, ms = -1/2

This is correct

n = 2, l = 1, ml = 0, ms = -1/2

This is correct

n = 4, l = 1, ml = -1, ms = +1/2

This is correct

n = 4, l = 5, ml = +3, ms = -1/2

This is not correct

for n=4, ml can be only 0,1,2,3

so, l=5 is wrong

n = 4, l = 3, ml = -1, ms = 0

This is not correct

ms can have values 1/2 and -1/2

ms = 0 is not possible

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