Question 14 Marks
What can be inferred from the magnetic moment values of the following complex species?
| Example | Magnetic Moment (BM) |
| $K _4\left[ Mn ( CN )_6\right]$ | 2.2 |
| $\left[ Fe \left( H _2 O \right)_6\right]^{2+}$ | 5.3 |
| $K _2\left[ MnCl _4\right]$ | 5.9 |
Answer
View full question & answer→(i) Magnetic moment of K4[Mn(CN)6] is μ = 2.2 B.M. has been given. Theoretically, according to the formula, $\mu=\sqrt{n(n+2)}$ BM, when $n=1$, the value of μ comes to 1.732 BM, which is almost equal to 2.2.
Therefore, in this complex there will be d2sp3 hybridization on Mn because $\overline{ C } N$ is a strong ligand due to which the electronic configuration of Mn2+ will be (t2g)5, which has one unpaired electron. Hence this complex is paramagnetic.
(ii) For $\left[ Fe \left( H _2 O \right)_6\right]^{2+}, \mu=5.3 BM$ is given.
Therefore, taking n = 4 according to the formula gives $\mu$ = 4.89BM which is almost equal to 5.3.
Therefore, in this complex there will be sp3d2 hybridization on Fe because H2O is a weak ligand due to which the electronic configuration of $Fe ^{2+}$ will be $\left( t _{2 g}\right)^4\left( e _{ g }\right)^2$, which has four unpaired electrons. Hence this complex is also paramagnetic.
(iii) For $K _2\left[ MnCl _4\right]$ it is given that $\mu=5.9 BM$.
Therefore, taking n = 5 according to the formula gives $\mu$= 5.91BM which is almost equal to 5.9. Therefore, in this complex there will be sp3 hybridization on Mn and Cl- is a weak ligand. In the presence of which the electronic configuration of Mn+2 will be $\left(e_g\right)^2\left(t_{2 g}\right)^3$, which has 5 unpaird electrons. Hence this complex paramagnetic.
Therefore, in this complex there will be d2sp3 hybridization on Mn because $\overline{ C } N$ is a strong ligand due to which the electronic configuration of Mn2+ will be (t2g)5, which has one unpaired electron. Hence this complex is paramagnetic.
(ii) For $\left[ Fe \left( H _2 O \right)_6\right]^{2+}, \mu=5.3 BM$ is given.
Therefore, taking n = 4 according to the formula gives $\mu$ = 4.89BM which is almost equal to 5.3.
Therefore, in this complex there will be sp3d2 hybridization on Fe because H2O is a weak ligand due to which the electronic configuration of $Fe ^{2+}$ will be $\left( t _{2 g}\right)^4\left( e _{ g }\right)^2$, which has four unpaired electrons. Hence this complex is also paramagnetic.
(iii) For $K _2\left[ MnCl _4\right]$ it is given that $\mu=5.9 BM$.
Therefore, taking n = 5 according to the formula gives $\mu$= 5.91BM which is almost equal to 5.9. Therefore, in this complex there will be sp3 hybridization on Mn and Cl- is a weak ligand. In the presence of which the electronic configuration of Mn+2 will be $\left(e_g\right)^2\left(t_{2 g}\right)^3$, which has 5 unpaird electrons. Hence this complex paramagnetic.
