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Question 88 of 106

Q.Calculate spin only magnetic moment of divalent cation of transition metal with atomic number 25. Salts of Ti4+Ti^{4+} are colourless. Give reason.

Maharashtra MsbshseMaharashtra HSC (MSBSHSE) Board 2022Subjective· 3mImportance★★★★★
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Mn²⁺'s five unpaired d-electrons give a spin-only moment of 5.92 BM; Ti⁴⁺'s empty d-subshell means no d–d transition, hence no colour.

Spin-only magnetic moment of the divalent cation of Z = 25 (Mn): Mn has configuration [Ar]3d54s2[Ar]3d^54s^2; removing 2 electrons (from 4s4s) to form Mn2+Mn^{2+} gives [Ar]3d5[Ar]3d^5, which has 5 unpaired electrons (half-filled, maximally unpaired d5d^5). Using the spin-only formula:

μ=n(n+2) BM=5(5+2)=35≈5.92 BM\mu = \sqrt{n(n+2)}\ BM = \sqrt{5(5+2)} = \sqrt{35} \approx 5.92\ BM

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