Ncert Exercises & Solutions

Use Hund’s rule to derive the electronic configuration of Ce³⁺ ion, and calculate its magnetic moment on the basis of
‘spin-only’ formula.

Step 1:

The electronic configuration of Ce and Ce³⁺ are as follows:

Ce : [Xe] 4f¹ 5d¹ 6s²
Ce³⁺: [Xe] 4f¹

It has one unpaired electron.

Step 2:

Calculate the magnetic moment as follows:

Magnetic moment = \(\sqrt{n(n+2)}BM\)
Here, n is number of unpaired electron.

The value of magnetic moment is as follows:

Magnetic moment = \(\sqrt{1(1+2)}BM\)
= 1.73 BM

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