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.

A. n = 5, l = 4, ml = -3, ms = 0

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

C. n = 6, l = -3, ml = +3, ms = +1/2

D. n = 2, l = 2, ml = +1, ms = -1/2

E. n = 5, l = 1, ml = 0, ms = -1/2

F. n = 4, l = 1, ml = 0, ms = +1/2

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

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

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

J. n = 3, l = 1, ml = +1, ms = +1/2

Explanation / Answer

A. n = 5, l = 4, ml = -3, ms = 0 --> not possible since ms = 1/2 or -1/2 only

B. n = 4, l = 2, ml = +3, ms = +1/2 --> impossible since ml > l

C. n = 6, l = -3, ml = +3, ms = +1/2 --> impossible sincee l < 0

D. n = 2, l = 2, ml = +1, ms = -1/2 --> impossible since l = n

E. n = 5, l = 1, ml = 0, ms = -1/2 --> this is correct

F. n = 4, l = 1, ml = 0, ms = +1/2 --> correct

G. n = 2, l = 0, ml = 0, ms = -1/2 --> correct

H. n = 4, l = 3, ml = -2, ms = +1/2 --> correct

I. n = 4, l = 2, ml = +2, ms = -1/2 --> correct

J. n = 3, l = 1, ml = +1, ms = +1/2 --> correct

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