Question

Gadolinium (Gd) has a $4f^{7}5d^{1}6s^2$ electronic configuration outside the [Xe] core. Find the spin only magnetic moment of $G{d}^{3+}$.

• A. $\sqrt{63}B.M$
• B. $\sqrt{35}B.M$
• C. $\sqrt{48}B.M$
• D. $\sqrt{24}B.M$

Answer 1

The correct option is A $\sqrt{63}B.M$

$G{d}^{3+}$ has an electronic configuration of $\left[Xe\right]4f^7$.

$\left[Xe\right]4f^7$ has seven unpaired electrons.

Spin only magnetic moment, $\mu =\sqrt{n(n+2)}$ B.M

$\mu =\sqrt{7(7+2)}=\sqrt{63}$ B.M