The increasing d-character in hybridisation of Xe in `XeF_(2), XeF_(4), XeF_(6)` is

Options

A. `sp^(2) , sp^(3) d, sp^(3) d^(2)`
B. `sp^(3) d, sp^(3) d^(2), sp^(3) d^(3)`
C. `sp^(3) d^(2), sp^(3) d, sp^(3) d^(3)`
D. `sp^(2), sp^(3), sp^(3) d`

Explanation

To determine the increasing d-character in the hybridization of xenon in the compounds XeF2, XeF4, and XeF6, we can follow these steps:

### Step 1: Analyze XeF2
- **Valence Electrons**: Xenon (Xe) has 8 valence electrons. In XeF2, it forms bonds with 2 fluorine atoms.
- **Bonding and Lone Pairs**: Each fluorine atom uses 1 electron to form a bond, using 2 of Xe's 8 electrons. This leaves 6 electrons, which can be arranged as 3 lone pairs.
- **Hybridization**: The hybridization is calculated as the sum of sigma bonds and lone pairs:
- Sigma bonds = 2 (from 2 Xe-F bonds)
- Lone pairs = 3
- Total = 2 + 3 = 5
- Thus, hybridization = sp³d (1 d-orbital involved).

### Step 2: Analyze XeF4
- **Valence Electrons**: In XeF4, xenon again has 8 valence electrons. It forms bonds with 4 fluorine atoms.
- **Bonding and Lone Pairs**: 4 electrons are used to form bonds with fluorine, leaving 4 electrons. These can be arranged as 2 lone pairs.
- **Hybridization**:
- Sigma bonds = 4 (from 4 Xe-F bonds)
- Lone pairs = 2
- Total = 4 + 2 = 6
- Thus, hybridization = sp³d² (2 d-orbitals involved).

### Step 3: Analyze XeF6
- **Valence Electrons**: In XeF6, xenon uses all 6 of its available electrons to bond with 6 fluorine atoms.
- **Bonding and Lone Pairs**: 6 electrons are used for bonding, leaving 2 electrons, which can be arranged as 1 lone pair.
- **Hybridization**:
- Sigma bonds = 6 (from 6 Xe-F bonds)
- Lone pairs = 1
- Total = 6 + 1 = 7
- Thus, hybridization = sp³d³ (3 d-orbitals involved).

### Step 4: Conclusion on Increasing d-Character
- From the analysis:
- XeF2: sp³d (1 d-orbital)
- XeF4: sp³d² (2 d-orbitals)
- XeF6: sp³d³ (3 d-orbitals)
- Therefore, the increasing d-character in hybridization is:
- XeF2 < XeF4 < XeF6

### Final Answer
The increasing d-character in hybridization of Xe in XeF2, XeF4, and XeF6 is: **sp³d < sp³d² < sp³d³**.

---