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

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

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

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

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

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

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

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

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

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

Explanation / Answer

For a given "n" value------------> l has 0 to n-1 values, ml has (2l+1) values and ms is either +1/2 or -1/2

Answers:

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

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

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

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

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

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

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

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