Which of the following electronic configuration will be associated with the lowest magnetic moment?

d^{2}

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d^{3}

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d^{4}

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d^{9}

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Solution

The correct option is D $d^{9}$
The magnetic moment, $μ_{s} = \sqrt{n (n + 2)} μ_{B}$ where n is the number of unpaired electrons.

$d^{2}$ has 2 unpaired electrons, $d^{3}$ has 3 unpaired electrons, $d^{4}$ has 4 unpaired electrons and $d^{9}$ has 1 unpaired electron.

Hence $d^{9}$ will have the lowest magnetic moment.

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ω

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