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 problem of determining 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 step by step.

### Step 1: Analyze sp³d² Hybridization
1. **Identify the Hybridization**: The sp³d² hybridization involves one central atom (M) and six surrounding atoms (X).
2. **Determine the Geometry**: The geometry of sp³d² hybridization is square pyramidal (or octahedral).
3. **Visualize the Structure**: In this structure, there are:
- Four atoms in a square plane (let's call them X1, X2, X3, X4).
- Two atoms above and below the plane (let's call them X5 and X6).
4. **Identify 180-degree Angles**:
- The 180-degree angles can be formed between:
- X5 (above the plane) and X6 (below the plane).
- X1 and X3 (across the square plane).
- X2 and X4 (across the square plane).
5. **Count the Angles**: Thus, there are a total of **3** 180-degree angles in sp³d² hybridization.

### Step 2: Analyze sp³d Hybridization
1. **Identify the Hybridization**: The sp³d hybridization involves one central atom (M) and five surrounding atoms (X).
2. **Determine the Geometry**: The geometry of sp³d hybridization is trigonal bipyramidal.
3. **Visualize the Structure**: In this structure, there are:
- Three atoms in a plane (let's call them X1, X2, X3).
- Two atoms above and below the plane (let's call them X4 and X5).
4. **Identify 180-degree Angles**:
- The only 180-degree angle can be formed between:
- X4 (above the plane) and X5 (below the plane).
5. **Count the Angles**: Thus, there is a total of **1** 180-degree angle in sp³d hybridization.

### Final Answer
- For sp³d² hybridization: **3** 180-degree angles.
- For sp³d hybridization: **1** 180-degree angle.

### Summary
The maximum number of 180-degree angles possible between X-M-X bonds for compounds with sp³d² and sp³d hybridization are **3** and **1**, respectively.

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