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# What can be inferred from the magnetic moment values of the following complex species? Example Magnetic Moment (BM)

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What can be inferred from the magnetic moment values of the following complex species? Example Magnetic Moment (BM)

K4[Mn(CN)6] 2.2

[Fe(H2O)6]2+ 5.3

K2[MnCl4] 5.9

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Magnetic moment (μ) is given as μ = $$\sqrt{n(n+2)}$$

For value n = 1, μ = $$\sqrt{1(1+2)}$$ = $$\sqrt{3}$$ = 1.732

For value n = 2, μ = $$\sqrt{2(2+2)}$$ = $$\sqrt{8}$$ = 2.83

For value n = 3, μ = $$\sqrt{3(3+2)}$$ = $$\sqrt{15}$$ = 3.87

For value n = 4, μ = $$\sqrt{4(4+2)}$$ = $$\sqrt{24}$$ = 4.899

For value n = 5, μ = $$\sqrt{5(5+2)}$$ = $$\sqrt{35}$$ = 5.92

(i) K4[Mn(CN)6]

For in transition metals, the magnetic moment is calculated from the spin-only formula. Therefore,

$$\sqrt{n(n+2)}$$ = 2.2

We can see from the above calculation that the given value is closest to n = 1. Also, in this complex, Mn is in the +2 oxidation state. This means that Mn has 5 electrons in the d-orbital.

Hence, we can say that CN- is a strong field ligand that causes the pairing of electrons.

(ii) [Fe(H2O)6]2+

$$\sqrt{n(n+2)}$$ = 5.3

We can see from the above calculation that the given value is closest to n = 4. Also, in this complex, Fe is in the +2 oxidation state. This means that Fe has 6 electrons in the d-orbital.

Hence, we can say that H2O is a weak field ligand and does not cause the pairing of electrons.

(iii) K2[MnCl4]

$$\sqrt{n(n+2)}$$ = 5.9

We can see from the above calculation that the given value is closest to n = 5. Also, in this complex, Mn is in the +2 oxidation state. This means that Mn has 5 electrons in the d-orbital.

Hence, we can say that Cl- is a weak field ligand and does not cause the pairing of electrons.

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