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Q5.24(iii):
Write down the IUPAC name for each of the following complexes and indicate the oxidation state, electronic configuration and coordination number. Also give stereochemistry and magnetic moment of the complex: \([CrCl_{3}(py)_{3}]\)

Solution :

Step 1: Nomenclature and Determination of Oxidation State

The complex is $[CrCl_{3}(py)_{3}]$, where $py$ denotes pyridine ($C_{5}H_{5}N$).

  • Ligands: $3$ Chloro ($Cl^-$) and $3$ Pyridine ($neutral$).
  • Let $x$ be the oxidation state of Chromium ($Cr$).
  • $x + 3(-1) + 3(0) = 0 \implies x = +3$.
  • The oxidation state of $Cr$ is $+3$.
  • IUPAC Name: Trichlorotripyridinechromium(III).

Step 2: Electronic Configuration and Coordination Number

  • Atomic number of $Cr (Z=24)$: $[Ar] 3d^{5} 4s^{1}$.
  • Configuration of $Cr^{3+}$: $[Ar] 3d^{3}$.
  • Coordination Number: There are $3$ chloro ligands and $3$ pyridine ligands, all being monodentate. Therefore, the Coordination Number ($CN$) is $3 + 3 = 6$.

Step 3: Stereochemistry and Bonding

For a coordination number of 6, the geometry is octahedral. With three identical ligands ($Cl$) and three identical ligands ($py$), the complex exhibits geometric isomerism.

  • Facial (fac) isomer: The three identical ligands occupy the corners of one triangular face of the octahedron.
  • Meridional (mer) isomer: The three identical ligands occupy the sites around the meridian (a plane bisecting the octahedron).
Cl py Cl py Cl py

Step 4: Magnetic Moment Calculation

  • $Cr^{3+}$ in an octahedral field (with $Cl^-$ as a weak field ligand) retains its $d^3$ configuration ($t_{2g}^3 e_g^0$).
  • Number of unpaired electrons ($n$) = $3$.
  • Magnetic moment ($\mu$) formula: $\mu = \sqrt{n(n+2)} \text{ B.M.}$ [Per the Spin-Only Formula].
  • $\mu = \sqrt{3(3+2)} = \sqrt{15} \approx 3.87 \text{ B.M.}$

Final Solution:
IUPAC Name: Trichlorotripyridinechromium(III)
Oxidation State: +3
Electronic Configuration: $3d^3$
Coordination Number: 6
Stereochemistry: Facial and Meridional isomers (Octahedral)
Magnetic Moment: 3.87 B.M.


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