In the quantum mechanical treatment of the hydrogen atom, which one of the following combinations of quantum numbers is not allowed?

a.) n=1; l=3; ml=0
b.) n=3; l=1; ml=-1
c.) n=3; l=2; ml=-1
d.) n=3; l=3; ml=2
e.) n=3; l=2; ml=2

Respuesta :

a) and d) are not allowed.

The quantum number l is restricted to be from 0 to n -1.

Then for a, where n = 1, l can only be 0

And for b., where n = 3, l can be 0, 1 and 2 (not 3).
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