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  4. The correct electronic configuration and spin-only magnetic moment ( BM ) of Gd 3+( Z =64), respectively, are

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Q. The correct electronic configuration and spin-only magnetic moment $( BM )$ of $Gd ^{3+}( Z =64)$, respectively, are

JEE MainJEE Main 2020The d-and f-Block Elements

Solution:

Electronic configuration of $Gd ^{3+}$ is

${ }_{64} Gd ^{3+}=[ Xe ] 4 f ^{7}$

image

Gd $^{3+}$ having 7 unpaired electrons.

Magnetic moment $(\mu)=\sqrt{n(n+2)} B .M$

$\mu =\sqrt{7(7+2)} B .M.$

$=7.9 \,B.M$

$n \Rightarrow $ Number of unpaired electrons