Question:

The spin-only magnetic moment value for the complex \([\mathrm{Co(CN)_6}]^{4-}\) is __________ BM.

[At. no. of Co = 27]

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Co is in +2 state (d7); CN- is a strong field ligand so the complex is low spin with one unpaired electron.
Updated On: Nov 4, 2026
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Correct Answer: 2

Solution and Explanation

Oxidation state of Co: \(x + 6(-1) = -4 \Rightarrow x = +2\).
Co(II) has configuration \(3d^7\).
CN- is a strong field ligand, so pairing occurs (low spin): \(t_{2g}^6 e_g^1\).
Number of unpaired electrons \(n = 1\).
\(\mu = \sqrt{n(n+2)} = \sqrt{3} = 1.73\) BM, which is 2 BM to the nearest integer.
Answer: 2
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