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The formula for calculating 'spin only' magnetic moment is
Options:
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Verified Answer
The correct answer is:
$\sqrt{n(n+2)}$
The formula used to calculate the spin only magnetic moment can be written in two forms, the first based on the number of unpaired electrons $n$ and the second based on the total electron spin quantum number $s$. Since, for each unpaired electron, $n=1$ and $s=\frac{1}{2}$ then the two formulae are clearly related and the answer obtained must be identical
$$
\mu_{\mathrm{so}}=\sqrt{n(n+2)} \mathrm{BM}=\sqrt{4 s(s+1)} \mathrm{BM}
$$
Hence, the correct option is (3).
$$
\mu_{\mathrm{so}}=\sqrt{n(n+2)} \mathrm{BM}=\sqrt{4 s(s+1)} \mathrm{BM}
$$
Hence, the correct option is (3).
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