`d_(xy),d_(yz)` and `d_(xz)` orbitals is involved in which of the following hybridisation?

Options

A. `dsp^2`
B. `sp^3d`
C. `sp^3d^2`
D. `d^3sp^3`

Answer

To determine which hybridization involves the d orbitals \(d_{xy}\), \(d_{yz}\), and \(d_{xz}\), we will analyze each hybridization option provided in the question.

### Step-by-Step Solution:

1. **Understanding Hybridization Types**:
- **dsp² Hybridization**: Involves one d orbital and two p orbitals. The d orbital typically used is \(d_{x^2-y^2}\). This hybridization leads to a square planar geometry.
- **sp³d Hybridization**: Involves one s orbital, three p orbitals, and one d orbital. The d orbital typically used is \(d_{z^2}\). This hybridization results in a trigonal bipyramidal geometry.
- **sp³d² Hybridization**: Involves one s orbital, three p orbitals, and two d orbitals. The d orbitals typically used are \(d_{x^2-y^2}\) and \(d_{z^2}\). This hybridization leads to an octahedral geometry.
- **d³sp³ Hybridization**: Involves three d orbitals, one s orbital, and three p orbitals. The d orbitals used here are \(d_{xy}\), \(d_{yz}\), and \(d_{xz}\). This hybridization also leads to a different geometry, often octahedral or distorted octahedral.

2. **Identifying the Correct Hybridization**:
- From the analysis, we see that only **d³sp³ hybridization** incorporates the orbitals \(d_{xy}\), \(d_{yz}\), and \(d_{xz}\).
- The other hybridizations do not include all three of these d orbitals.

3. **Conclusion**:
- Therefore, the correct answer to the question is **option 4: d³sp³**.

### Final Answer:
The d orbitals \(d_{xy}\), \(d_{yz}\), and \(d_{xz}\) are involved in **d³sp³ hybridization**.

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