(a) Calculate spin only magnetic moment of M$^{2+}$ ion. [atomic number of M = 26] (b) Write condensed electronic configuration of Gadolinium [Z = 64].

(a) Calculate spin only magnetic moment of M²⁺ ion. [atomic number of M = 26] (b) Write condensed electronic c

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^{2+}

(b) Write condensed electronic configuration of Gadolinium [Z = 64].

Maharashtra MsbshseMaharashtra HSC (MSBSHSE) Board 2025Subjective· 3mImportance★★★★★

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Fe $^{2+}$ ( $d^6$ ) has 4 unpaired electrons: $\mu=\sqrt{24}\approx4.90$ BM. Gd (Z=64): $[Xe]4f^75d^16s^2$ .

(a) Spin-only magnetic moment of $M^{2+}$ , atomic number of M = 26 (iron, Fe):

Fe is $[Ar]3d^64s^2$ . $Fe^{2+}$ loses the two $4s$ electrons, giving $[Ar]3d^6$ .

Distributing 6 electrons over 5 degenerate $d$ orbitals by Hund's rule: each of the 5 orbitals gets one electron first (5 singly occupied), then the 6th electron must pair up in one orbital — leaving 4 unpaired electrons.

$\mu = \sqrt{n(n+2)}$ BM $= \sqrt{4\times6} = \sqrt{24} \approx 4.90$ BM

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Q.(a) Calculate spin only magnetic moment of M $^{2+}$ ion. [atomic number of M = 26]

Concept understanding — Magnetic Properties

Q.(a) Calculate spin only magnetic moment of M2+^{2+}2+ ion. [atomic number of M = 26]

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Q.(a) Calculate spin only magnetic moment of M $^{2+}$ ion. [atomic number of M = 26]

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