Which of the following fluorides of Xe has zero dipole moment ?

Options

A. `XeF_3`
B. `XeF_4`
C. `XeF_6`
D. `XeF_2`

Answer

To determine which of the fluorides of xenon (Xe) has a zero dipole moment, we need to analyze the molecular geometry and hybridization of each compound. The options typically include XeF2, XeF3, XeF4, and XeF6. Here’s a step-by-step breakdown of the solution:

### Step 1: Identify the Hybridization and Molecular Geometry
1. **XeF2**:
- **Lone pairs**: 3
- **Bond pairs**: 2
- **Hybridization**: sp³d
- **Geometry**: Linear
- **Dipole moment**: Non-zero (due to the linear arrangement of dipoles).

2. **XeF3**:
- **Lone pairs**: 2
- **Bond pairs**: 3
- **Hybridization**: sp³d
- **Geometry**: T-shaped
- **Dipole moment**: Non-zero (due to the asymmetrical shape).

3. **XeF4**:
- **Lone pairs**: 2
- **Bond pairs**: 4
- **Hybridization**: sp³d²
- **Geometry**: Square planar
- **Dipole moment**: Zero (the dipoles cancel out due to symmetrical arrangement).

4. **XeF6**:
- **Lone pairs**: 1
- **Bond pairs**: 6
- **Hybridization**: sp³d³
- **Geometry**: Distorted octahedral
- **Dipole moment**: Non-zero (due to the presence of a lone pair).

### Step 2: Conclusion
From the analysis above, the only compound that has a zero dipole moment is **XeF4** due to its symmetrical square planar structure where the dipoles cancel each other out.

### Final Answer
The fluoride of xenon that has zero dipole moment is **XeF4** (option B).

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