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 = 5, l = -4, ml = -3, ms = -1/2 n = 4, l = 4, ml = 0, ms = -1/2 n = 4, l = 2, ml = -1, ms = -1/2 n = 4, l = 3, ml = +2, ms = +1/2 n = 6, l = 5, ml = +3, ms = -1 n = 5, l = 1, ml = -1, ms = -1/2 n = 3, l = 1, ml = 0, ms = -1/2 n = 4, l = 0, ml = 0, ms = -1/2 n = 5, l = 3, ml = -4, ms = -1/2 n = 1, l = 0, ml = 0, ms = -1/2

Explanation / Answer

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

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

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

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

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

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

Concept: For n, l can be 0 to n-1. ml can be -l to +l and ms can be only -half or + half.

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