The maximum number of `180^(@)` angle possible between X-M-X bond for compounds with `sp^(3)d^(2)` and `sp^(3)`d hybridisation respectively are

Options

A. 3,3
B. 3,1
C. 1,3
D. 3,0

Answer

To solve the question regarding the maximum number of 180-degree angles possible between X-M-X bonds for compounds with sp³d² and sp³d hybridization, we will analyze each hybridization type step by step.

### Step 1: Analyze sp³d² Hybridization
1. **Identify Geometry**: The sp³d² hybridization corresponds to an octahedral geometry.
2. **Visualize the Structure**: In an octahedral structure, there are six ligands (X) surrounding a central metal atom (M). The arrangement is such that four ligands lie in a plane (equatorial positions), while one ligand is positioned above the plane (axial position) and another below the plane.
3. **Determine 180-Degree Angles**:
- The angles between the ligands in the axial positions (above and below the central atom) are 180 degrees.
- Additionally, the angles between the equatorial ligands and the axial ligands also measure 180 degrees.
- By examining the arrangement, we find that there are three unique pairs of ligands that can form 180-degree angles:
- Pair 1: Ligand 1 (equatorial) and Ligand 2 (equatorial).
- Pair 2: Ligand 3 (equatorial) and Ligand 4 (equatorial).
- Pair 3: Ligand 5 (axial) and Ligand 6 (axial).
4. **Conclusion for sp³d²**: Therefore, the maximum number of 180-degree angles possible between X-M-X bonds in sp³d² hybridization is **3**.

### Step 2: Analyze sp³d Hybridization
1. **Identify Geometry**: The sp³d hybridization corresponds to a trigonal bipyramidal geometry.
2. **Visualize the Structure**: In this structure, there are five ligands surrounding the central metal atom (M). Three ligands occupy the equatorial plane, while two ligands are positioned axially (one above and one below the plane).
3. **Determine 180-Degree Angles**:
- The only 180-degree angle occurs between the two axial ligands.
- The equatorial ligands are arranged at 120-degree angles to each other, which do not contribute to 180-degree angles.
4. **Conclusion for sp³d**: Therefore, the maximum number of 180-degree angles possible between X-M-X bonds in sp³d hybridization is **1**.

### Final Answer
Combining the results from both hybridizations, we conclude that the maximum number of 180-degree angles possible between X-M-X bonds for sp³d² and sp³d hybridization respectively are **3 and 1**.