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11 November, 16:04

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

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Answers (1)
  1. 11 November, 16:31
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    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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