Question

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

Answer 1

Magnetic moment can be calculated as:



Where,

n = number of unpaired electrons

The electronic configuration of Ce3+ : 1s22s22p63s23p63d104s24p64d105s25p64f1

In Ce3+, n = 1

∴ μ = 1 ( 1 +2 )‾‾‾‾‾‾‾‾‾‾√ = 3‾√ = 1.732 B.M

Answer 2

Hey !!

₅₈Ce = [Xe]⁵⁴ 4f¹ 5d¹ 6s²

Ce³⁺ = [Xe]⁵⁴ 4f¹, there is only one unpaired electron, n = 1

Hence, μ = √n (n+2)

    = √1 (1+2)

    = √3

FINAL RESULT = 1.73 BM

Good luck !!