`d_(x2),d_(yz)` and `d_(zx)` orbitals have________ energies and are collectively termed_________ or __________or___________orbitals .

Answer

To solve the question about the energies of the \(d_{x^2}\), \(d_{yz}\), and \(d_{zx}\) orbitals, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Orbitals**: The orbitals in question are \(d_{x^2}\), \(d_{yz}\), and \(d_{zx}\). These orbitals are part of the d-orbital set in transition metal complexes.

2. **Understand Crystal Field Theory**: According to Crystal Field Theory (CFT), the five d-orbitals split into two groups in the presence of ligands. These groups are known as the \(t_{2g}\) and \(e_g\) sets.

3. **Classify the Orbitals**:
- The orbitals \(d_{yz}\), \(d_{zx}\), and \(d_{xy}\) belong to the \(t_{2g}\) set and have the same energy level due to their symmetrical arrangement in the crystal field.
- The orbitals \(d_{x^2}\) and \(d_{z^2}\) belong to the \(e_g\) set and have higher energy compared to \(t_{2g}\) orbitals.

4. **Determine Energy Levels**: Since \(d_{yz}\) and \(d_{zx}\) are part of the \(t_{2g}\) set, they have the same energy. Therefore, we can say that \(d_{x^2}\), \(d_{yz}\), and \(d_{zx}\) orbitals have equal energies.

5. **Collective Term for the Orbitals**: The orbitals \(d_{yz}\) and \(d_{zx}\) are collectively termed as \(t_{2g}\) orbitals.

6. **Final Answer**:
- The \(d_{x^2}\), \(d_{yz}\), and \(d_{zx}\) orbitals have **equal energies** and are collectively termed **\(t_{2g}\)** or **non-axial** or **d-orbitals**.

### Final Answer:
The \(d_{x^2}\), \(d_{yz}\), and \(d_{zx}\) orbitals have **equal energies** and are collectively termed **\(t_{2g}\)** or **non-axial** or **d-orbitals**.