Question

The calculated spin-only magnetic moment of Cr²⁺ is

Answer 1

Spin only magnetic moment:

When an electron moves freely it generates a magnetic field, this magnetic field generated by the motion of electrons is known as the magnetic moment. When the electron rotates on its own axis generating a magnetic field it is known as a spin-only magnetic moment.

Formula to calculate spin only magnetic moment:

$\mu =\sqrt{4s(s+1)}$ where s= Spin magnetic moment.

$\mu =\sqrt{n(n+2)}$ where n= Number of unpaired electrons.

The spin-only magnetic moment of the Cr²⁺ ion:

Step-1: Electronic configuration of the Cr²⁺ ion is $\left[Ar\right]4s^{0}3d^4$

Step-2: Number of unpaired electrons (n) = 4

Step-3: Calculating the spin-only magnetic moment

$\sqrt{n(n+2)}=\sqrt{4(4+2)}=4.89BM$