Electronic Structure of Atoms

46) (a) n = 2, l = 1, m_l = 1

            This is a permissible set of quantum numbers because n = 2, and l = 1 represents a 2p sublevel which is valid for an excited hydrogen atom. A 2p sublevel has 3 orbitals, -1, 0, +1.

      (b) n = 1, l = 0, m_l = -1

            This is not a permissible set because l = 0 represents an s sublevel for which m_l must equal 0.

       (c) n = 4, l = 2, m_l = -2

             This is a permissible set because n = 4 and l = 2 represents an electron in the 4d sublevel and m_l = -2 is a valid orbital in the d sublevel.

       (d) n = 3, l = 3, m_l = 0

            This is not a permissible set because when n = 3, you can only have 3 sublevels s, p , and d. An f sublevel is not valid.