Question:

The spin only magnetic moments (in BM) for free \(\mathrm{Ti^{3+}}\), \(\mathrm{V^{2+}}\) and \(\mathrm{Sc^{3+}}\) ions respectively are :

(At.No. Sc : 21, Ti : 22, V : 23)

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Write the d-electron configuration of each ion, count unpaired electrons n, and use mu = sqrt(n(n+2)).
Updated On: Nov 4, 2026
  • \(3.87,\ 1.73,\ 0\)
  • \(1.73,\ 3.87,\ 0\)
  • \(1.73,\ 0,\ 3.87\)
  • \(0,\ 3.87,\ 1.73\)
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The Correct Option is B

Solution and Explanation

\(\mathrm{Ti^{3+}}\): \([\mathrm{Ar}]3d^1\), n = 1, \(\mu = \sqrt{1\times3} = 1.73\) BM.
\(\mathrm{V^{2+}}\): \([\mathrm{Ar}]3d^3\), n = 3, \(\mu = \sqrt{3\times5} = \sqrt{15} = 3.87\) BM.
\(\mathrm{Sc^{3+}}\): \([\mathrm{Ar}]3d^0\), n = 0, \(\mu = 0\).
Sequence: 1.73, 3.87, 0.
Answer: (2) 1.73, 3.87, 0
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