Question

The correct electronic configuration and spin-only magnetic moment (BM) of Gd³⁺(Z = 64), respectively, are ______.

Options

• [Xe] 5f⁷ and 7.9

• [Xe] 5f⁷ and 8.9

• [Xe] 4f⁷ and 7.9

• [Xe] 4f⁷ and 8.9

Answer 1

The correct electronic configuration and spin-only magnetic moment (BM) of Gd³⁺(Z = 64), respectively, are [Xe] 4f⁷ and 7.9.

Explanation:

The electronic configuration of ₆₄Gd is [Xe] 4f⁷ 5d¹ 6s² and ₆₄Gd³⁺ is[Xe] 4f⁷. The number of unpaired electrons is 7. 

μ = `sqrt(n(n + 2))`BM

= `sqrt(7(7 + 2))`

= `sqrt63`

= 7.93 BM