Number of bridging CO ligands in `[Mn_2 (CO)_(10)]` is __________.

Answer

To determine the number of bridging CO ligands in the complex \([Mn_2(CO)_{10}]\), we can follow these steps:

### Step 1: Identify the structure of the complex
The complex \([Mn_2(CO)_{10}]\) is known as dimanganese decacarbonyl. It consists of two manganese (Mn) atoms and ten carbon monoxide (CO) ligands.

**Hint:** Look for the overall structure of the complex and how the ligands are arranged around the metal centers.

### Step 2: Understand the coordination of CO ligands
In coordination chemistry, CO can act as a terminal ligand or a bridging ligand. A terminal CO ligand is bonded to one metal atom, while a bridging CO ligand connects two metal atoms.

**Hint:** Recall the definitions of terminal and bridging ligands to identify their roles in the structure.

### Step 3: Analyze the bonding in \([Mn_2(CO)_{10}]\)
In \([Mn_2(CO)_{10}]\), each manganese atom is coordinated to five CO ligands. The structure is such that all CO ligands are terminal, meaning they are bonded to only one manganese atom each.

**Hint:** Visualize the arrangement of CO ligands around the manganese atoms to see if any are bridging.

### Step 4: Count the bridging CO ligands
Since all ten CO ligands are attached to the manganese atoms as terminal ligands and none are connecting both manganese atoms, there are no bridging CO ligands in this complex.

**Hint:** Consider the total number of CO ligands and how they are distributed among the manganese atoms.

### Conclusion
The number of bridging CO ligands in \([Mn_2(CO)_{10}]\) is **0**.

**Final Answer:** 0