In which of the following species, d-obitals having xz an yz two nodal planes involved in hybridization of central atoms?

Options

A. `IO_(2)F_(2)^(-)`
B. `ClF_(4)^(-)`
C. `IF_(7)`
D. None of these

Explanation

To solve the question regarding which species has d-orbitals with xz and yz nodal planes involved in the hybridization of the central atom, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Relevant d-Orbitals**:
- The d-orbitals are five in total: \(d_{xy}\), \(d_{xz}\), \(d_{yz}\), \(d_{x^2-y^2}\), and \(d_{z^2}\).
- The d-orbital that has both xz and yz as nodal planes is the \(d_{xy}\) orbital. This means that the \(d_{xy}\) orbital is the one we need to focus on.

2. **Analyze the Given Species**:
- We need to check the hybridization of the central atom in the given species: \(IF_7\), \(ClF_4^-\), and \(ICl_2^-\).
- We will determine the steric number and hybridization for each species.

3. **Determine Hybridization for Each Species**:
- **For \(IF_7\)**:
- Iodine (I) has 7 valence electrons.
- It forms 7 bonds with fluorine atoms (7 sigma bonds).
- Steric number = 7 (7 bonds, 0 lone pairs).
- Hybridization = \(sp^3d^3\) (involves \(s\), \(p\), and \(d\) orbitals).
- The relevant d-orbitals are \(d_{x^2-y^2}\) and \(d_{z^2}\), but not \(d_{xy}\).

- **For \(ClF_4^-\)**:
- Chlorine (Cl) has 7 valence electrons.
- It forms 4 bonds with fluorine and has 2 lone pairs.
- Steric number = 6 (4 bonds + 2 lone pairs).
- Hybridization = \(sp^3d^2\) (involves \(s\), \(p\), and \(d\) orbitals).
- The relevant d-orbitals are \(d_{x^2-y^2}\) and \(d_{z^2}\), but not \(d_{xy}\).

- **For \(ICl_2^-\)**:
- Iodine (I) has 7 valence electrons.
- It forms 2 bonds with chlorine and has 3 lone pairs.
- Steric number = 5 (2 bonds + 3 lone pairs).
- Hybridization = \(sp^3d\) (involves \(s\), \(p\), and \(d\) orbitals).
- The relevant d-orbital is \(d_{xy}\), which does have the required nodal planes.

4. **Conclusion**:
- Among the species analyzed, \(ICl_2^-\) is the one where the \(d_{xy}\) orbital is involved in hybridization, which has both xz and yz nodal planes.

### Final Answer:
The species in which d-orbitals having xz and yz two nodal planes involved in hybridization of the central atom is **\(ICl_2^-\)**.