Calculate spin only magnetic moment of M2+ ion. [ atomic number of M = 26 ](b) Write condensed electronic configuration of Gadolinium [ Z = 64 ].

Q.21 (a) Calculate spin only magnetic moment of M²⁺ ion. [ atomic number of M = 26 ]
(b) Write condensed electronic configuration of Gadolinium [ Z = 64 ].

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Answer: (a) 4.90 BM; (b) [Xe] 4f⁷ 5d¹ 6s²

(a) M (Z = 26) is Fe: [Ar]3d⁶4s². M²⁺: [Ar]3d⁶, which has 4 unpaired electrons (n = 4).

\(\mu = \sqrt{n(n+2)} = \sqrt{4 \times 6} = \sqrt{24} = 4.90\) BM

(b) Gd (Z = 64): [Xe] 4f⁷ 5d¹ 6s² (the half-filled 4f⁷ is extra stable, so one electron goes into 5d).

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Calculate spin only magnetic moment of M2+ ion. [ atomic number of M = 26 ](b) Write condensed electronic configuration of Gadolinium [ Z = 64 ].

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