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Introduction to d and f Block Elements

Use Hund's ru...

Question

Use Hund's rule to derive the electronic configuration of $C e^{3 +}$ ion and calculate its magnetic moment on the basis of spin-only formula.

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Solution

$C e (Z = 58) : [X e]^{54} 4 f^{1} 5 d^{1} 6 s^{2}$
$C e^{3 +} : [X e]^{54} 4 f^{1}$
It has $1$ unpaired electron.
Magnetic moment, $μ_{s} = \sqrt{n (n + 2)} = \sqrt{1 (1 + 2)} = \sqrt{3} = 1.73$ B.M

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