Correct statement regarding `B_2 H_6` and `Al_2 Cl_6`

Options

A. Both have three centred two electron bonds
B. Hybridisation of 'B' in `B_2 H_6` is `sp^2` where as Al in `Al_2 CI_6` is `sp^3` hybridised
C. `B_2 H_6`, has hydrogen bridge bonds and `Al_2 CI_6` has halogen bridging
D. Both have two centred three electron bonds

Answer

To determine the correct statement regarding \( B_2H_6 \) (Diborane) and \( Al_2Cl_6 \) (Aluminum Chloride), we will analyze the bonding and hybridization in both compounds step by step.

### Step 1: Understanding the Structure of \( B_2H_6 \)
- **Diborane (\( B_2H_6 \))** has a unique structure where it contains three-centered two-electron bonds. In this structure, two boron atoms share hydrogen atoms, forming bridge bonds.
- The structure can be visualized as two boron atoms connected by two hydrogen atoms, which are also bonded to the boron atoms.

**Hint:** Look for the presence of three-centered bonds in \( B_2H_6 \).

### Step 2: Hybridization in \( B_2H_6 \)
- The hybridization of boron in \( B_2H_6 \) is \( sp^3 \). Each boron atom forms four bonds: two with hydrogen atoms and two with the other boron atom through bridge bonds.

**Hint:** Remember that \( sp^3 \) hybridization corresponds to four equivalent bonds.

### Step 3: Understanding the Structure of \( Al_2Cl_6 \)
- **Aluminum Chloride (\( Al_2Cl_6 \))** also exhibits a similar bonding scenario but with chlorine atoms. In this compound, aluminum atoms are surrounded by chlorine atoms, leading to halogen bridging.

**Hint:** Identify the bridging atoms in \( Al_2Cl_6 \) and their role in the structure.

### Step 4: Hybridization in \( Al_2Cl_6 \)
- The hybridization of aluminum in \( Al_2Cl_6 \) is also \( sp^3 \). Each aluminum atom forms bonds with chlorine atoms, leading to a tetrahedral arrangement.

**Hint:** Compare the hybridization of aluminum and boron in their respective compounds.

### Step 5: Analyzing the Bonding Types
- In \( B_2H_6 \), there are hydrogen bridge bonds, while in \( Al_2Cl_6 \), there are halogen bridging bonds. This distinction is crucial in understanding the differences between the two compounds.

**Hint:** Focus on the type of bridging bonds present in each compound.

### Step 6: Conclusion
- The correct statement regarding \( B_2H_6 \) and \( Al_2Cl_6 \) is that **\( B_2H_6 \) has hydrogen bridge bonds and \( Al_2Cl_6 \) has halogen bridging.** This is the only accurate statement among the options provided.

**Final Answer:** The correct option is that \( B_2H_6 \) has hydrogen bridge bonds and \( Al_2Cl_6 \) has halogen bridging.