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JEE Mains · Chemistry · STD 12 - 4. d and f- block elements

The correct electronic configuration and spin only magnetic moment (BM) of \(Gd ^{3+}( Z =64)\), respectively, are 

  1. A \([ Xe ] 5 f ^{7}\) and \(8.9\)
  2. B \([ Xe ] 4 f ^{7}\) and \(7.9\)
  3. C \([ Xe ] 5 f ^{7}\) and \(7.9\)
  4. D \([ X e ] 4 f ^{7}\) and \(8.9\)
Verified Solution

Answer & Solution

Correct Answer

(B) \([ Xe ] 4 f ^{7}\) and \(7.9\)

Step-by-step Solution

Detailed explanation

Electronic configuration of \(Gd ^{3+}\) is \(64 Gd ^{3+}=[ Xe ] 4 f ^{7}\) \(Gd ^{3+}\) having \(7\) unpaired electrons. Magnetic moment \((\mu)=\sqrt{n(n+2)}\) \(B.M.\) \(\mu=\sqrt{7(7+2)} B \cdot M\) \(=7.9 B . M\) \(n \Rightarrow\) Number of unpaired electrons.
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