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    Considering spin-orbit coupling, the multiplet width [WSO=λS(2L+1)][W_{SO}=\lambda S(2L+1)][WSO​=λS(2L+1)]for Eu3+Eu^{3+}Eu3+ion is​
    Question

    Considering spin-orbit coupling, the multiplet width [WSO=λS(2L+1)][W_{SO}=\lambda S(2L+1)]for Eu3+Eu^{3+}ion is​

    A.

    14λ14\lambda​​

    B.

    21λ21\lambda​​

    C.

    7λ7\lambda​​

    D.

    28λ28\lambda​​

    Correct option is B

    ​To calculate the multiplet width (WSO) for Eu³⁺, we use the formula:

    ​Europium (Z = 63) in its neutral state has configuration [Xe]4f⁷6s². Upon losing 3 electrons to form Eu³⁺, its configuration becomes: [Xe] 4f⁶
    Number of unpaired electrons = 6 (for 4f⁶)
    Maximum multiplicity implies S = 3 (since each unpaired electron contributes ½ spin)
    The total orbital angular momentum (L) for 4f⁶ is L = 3 (based on standard term symbol for f⁶ configuration)
    Now apply the formula:

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