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(A) List all of the possible (n, l, m1) combinations (i.e. orbitals) when n=3 (B) List...

(A) List all of the possible (n, l, m1) combinations (i.e. orbitals) when n=3

(B) List all the possible (n, l, m1) combinations (i.e. orbitals) for the 5d orbitals

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Answer #1

A) For any n, the values that l can take is from 0 to n-1 and ml can take values from - l to + l. In this case, n = 3. So l can be from 0 to 3-1 = 2. ml can take values between -2 to +2

The possible combinations for n=3 are:

[n=3 l = 0 ml = 0] for 3s, [n=3 l = 1 ml = -1, n=3 l = 1 ml = 0, n=3 l = 1 ml = 1] for 3p, [n=3 l = 2 ml = -2, n=3 l = 2 ml = -1, n=3 l = 2 ml = 0, n=3 l = 2 ml = +1, n=3 l = 2 ml = +2] for 3d

B) 5d orbital has possible combinations as: [n=5 l = 2 ml = -2], [n=5 l = 2 ml = -1], [n=5 l = 2 ml = 0], [n=5 l = 2 ml = +1], [n=5 l = 2 ml = +2]

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