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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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