Sigma Percentile
JEE Main 2019
LEVELJEE Main

Animated Solution for Chemistry - Coordination Compounds: The number of bridging CO ligand(s) and bond(s) in , respectively are

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Visualized Solution

\text{Molecule Introduction}

  • \text{Dicobalt octacarbonyl: } \text{Co}_2(\text{CO})_8

\text{Metal-Metal Bond}

  • \text{Total Valence Electrons (TVE)} = 2(9) + 8(2) = 34
  • \text{M-M bonds} = \frac{18(2) - 34}{2} = 1

\text{Bridging Ligands}

  • \text{Two CO ligands act as bridges between the two Co atoms.}

\text{Terminal Ligands}

  • \text{The remaining six CO ligands are terminal, three on each Co atom.}

\text{Final Count}

  • \text{Bridging CO ligands} = 2
  • \text{Co—Co bonds} = 1

\text{Equilibrium Fact}

  • \text{In solution, it exists in equilibrium with an unbridged isomer: } (\text{CO})_4\text{Co—Co}(\text{CO})_4

The Sigma Insight: Bonding and Crystal field

Solution Diagram

Unveiling the Architecture of Dicobalt Octacarbonyl

Imagine you are an architect, but instead of bricks and mortar, you are building with atoms and electrons. Today, we are looking at a fascinating molecular structure: dicobalt octacarbonyl, or . This is a classic example of a polynuclear metal carbonyl, and understanding its structure is a rite of passage for any chemistry student.

The 18-Electron Rule

Predicting Metal-Metal Bonds
Before we even draw the molecule, we can predict its core structure using the 18-electron rule. Let's calculate the Total Valence Electrons (TVE) for the entire complex.
Cobalt is in Group 9 of the periodic table, so each cobalt atom brings 9 valence electrons. Carbon monoxide (CO) is a neutral ligand that donates 2 electrons.
For two metal atoms to independently satisfy the 18-electron rule, they would need a total of electrons. However, our complex only has 34 electrons. It is exactly 2 electrons short!
To make up for this deficit, the two cobalt atoms must share a pair of electrons, forming a direct metal-metal bond.
So, we have mathematically proven that there is exactly one bond.

Bridging vs

Terminal Ligands
Now, how do the eight CO ligands arrange themselves around this core? Nature loves symmetry and stability. In the solid state, two of the eight carbon monoxide ligands decide to act as bridges. They connect both cobalt atoms simultaneously, forming a rigid, butterfly-like central core. These are our two bridging CO ligands.
This leaves six CO ligands. Like loyal guards, they distribute themselves equally. Three of them attach exclusively to the left cobalt atom, and the other three attach exclusively to the right cobalt atom. These are known as terminal ligands.
So, counting them up, we have 2 bridging CO ligands and 1 bond.

The Solid vs

Solution State Mystery
Here is a pro-tip that often appears as a trap in competitive exams. The beautiful bridged structure we just discussed is the stable form in the solid state.
However, if you dissolve in a solvent, it exists in a dynamic equilibrium with an unbridged isomer. In this unbridged form, all eight CO ligands are terminal (four on each cobalt), and the only connection between the two halves is the single bond. Always read the question carefully to see if it specifies the state, but by default, we assume the standard solid-state bridged structure!

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