Which of the following statement is incorrect about the structure of `B_(2)H_6` is

Options

A. It has four `2C - 2e^(-)` bond and two `3C - 2e^(-)` bond.
B. The hybridization of each boron atom is `sp^(3)`
C. All hydrogens in `B_(2)H_(6)` lie in the same plane.
D. Terminal bonds are shorter than bridged bonds.

Answer

To determine which statement is incorrect about the structure of \( B_2H_6 \) (diborane), we will analyze the structure and bonding in diborane step by step.

### Step 1: Draw the Structure of \( B_2H_6 \)
1. **Identify the Atoms**: Diborane consists of two boron (B) atoms and six hydrogen (H) atoms.
2. **Arrange the Atoms**: The structure can be visualized as two boron atoms at the center with hydrogen atoms attached.
3. **Bonding**: There are four terminal hydrogen atoms that are bonded directly to the boron atoms, and two bridged hydrogen atoms that connect the two boron atoms.

### Step 2: Analyze the Types of Bonds
1. **Terminal Bonds**: Each boron atom forms two terminal \( B-H \) bonds. These are classified as 2-center, 2-electron (2C, 2e) bonds.
2. **Bridged Bonds**: The two bridged hydrogen atoms form 3-center, 2-electron (3C, 2e) bonds with the two boron atoms.

### Step 3: Check Each Statement
1. **Option A**: "It has four 2C-2e bonds and two 3C-2e bonds."
- **True**: There are indeed four terminal bonds (2C, 2e) and two bridged bonds (3C, 2e).

2. **Option B**: "The hybridization of each boron atom is \( sp^3 \)."
- **True**: Each boron atom is \( sp^3 \) hybridized due to the presence of four bonds.

3. **Option C**: "All hydrogen atoms in \( B_2H_6 \) lie in the same plane."
- **Incorrect**: The four terminal hydrogen atoms are in one plane, while the two bridged hydrogen atoms are positioned above and below this plane.

4. **Option D**: "Terminal bonds are shorter than the bridged bonds."
- **True**: The terminal \( B-H \) bonds are indeed shorter than the bridged \( B-H \) bonds.

### Conclusion
The incorrect statement about the structure of \( B_2H_6 \) is **Option C**: "All hydrogen atoms in \( B_2H_6 \) lie in the same plane."

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