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30 October, 06:47

Which elements have the quantum numbers (4,3,-2,+1/2) and (5,2,-1,-1/2)

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  1. 30 October, 07:01
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    The elements are samarium (Sm) and silver (Ag).

    Quantum numbers (4,3,-2,+½)

    n = 4: Principal quantum number = 4.

    l = 3: Element has 4f electrons

    It is conventional to list quantum numbers in decreasing order.

    Hund's rule states that all the orbitals must be half-filled with electrons having the same spin before any can receive a second electron.

    We get the following table:

    Element n l mₗ mₛ

    La 4 3 3 + ½

    Ce 4 3 2 + ½

    Pr 4 3 1 + ½

    Nd 4 3 0 + ½

    Pm 4 3 - 1 + ½

    Sm 4 3 - 2 + ½

    The element is samarium, Sm.

    Quantum numbers (5,2,-1,-½)

    n = 5: Principal quantum number = 5.

    l = 2: Element has 5d electrons

    We get the following table:

    Element n l mₗ mₛ

    Y 5 2 2 + ½

    Zr 5 2 1 + ½

    Nb 5 2 0 + ½

    Mo 5 2 - 1 + ½

    Tc 5 2 - 2 + ½

    Ru 5 2 2 - ½

    Rh 5 2 1 - ½

    Pd 5 2 0 - ½

    Ag 5 2 - 1 - ½

    The element is silver, Ag.

    Note: These assignments assume that there are no exceptions in the Periodic Table.
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