In the quantum mechanical treatment of the hydrogen atom, which one of the following combinations of quantum numbers is not allowed? A) n = 3; l = 0; m_l = 0 B) n = 3; l = 1; m_l = -1 C) n = 3; l = 2; m_l = 2 D) n = 3; l = 2; m_l = -1 E) n = 3; l = 3; m_l = 2

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The azimuthal quantum number $ l $ must be less than the principal quantum number $ n $. Therefore, for $ n = 3 $, $ l $ can only be 0, 1, or 2. The combination $ n = 3; l = 3 $ is not allowed.

In the Quantum Mechanical Treatment of the Hydrogen Atom, Which