d- orbital with maximum electron density along two axes will be

Options

A. d_(yz)
B. `d_(Z^2)`
C. d_(x^2-y^2)
D. d_(xy)

Answer

To solve the question regarding which d-orbital has maximum electron density along two axes, we will analyze the different types of d-orbitals and their shapes.

### Step-by-Step Solution:

1. **Understanding d-Orbitals**:
- There are five types of d-orbitals: \(d_{xy}\), \(d_{yz}\), \(d_{zx}\), \(d_{x^2-y^2}\), and \(d_{z^2}\).
- Each orbital has a distinct shape and orientation in three-dimensional space.

2. **Identifying Axial and Non-Axial Orbitals**:
- Axial orbitals are those that have lobes aligned with the coordinate axes (x, y, z).
- Non-axial orbitals have lobes that lie in the planes between the axes.

3. **Analyzing Each d-Orbital**:
- **\(d_{xy}\)**: This orbital lies in the xy-plane, with lobes oriented between the x and y axes. It does not have maximum density along the axes.
- **\(d_{yz}\)**: This orbital lies in the yz-plane, with lobes oriented between the y and z axes. It also does not have maximum density along the axes.
- **\(d_{zx}\)**: This orbital lies in the zx-plane, with lobes oriented between the z and x axes. It does not have maximum density along the axes.
- **\(d_{x^2-y^2}\)**: This orbital has lobes that lie along the x and y axes. It has maximum electron density along these two axes.
- **\(d_{z^2}\)**: This orbital has a unique shape with a lobe along the z-axis and a ring in the xy-plane. It does not have maximum density along two axes.

4. **Conclusion**:
- The d-orbital with maximum electron density along two axes is \(d_{x^2-y^2}\) because its lobes are oriented along the x and y axes, maximizing the electron density in those directions.

### Final Answer:
The d-orbital with maximum electron density along two axes is **\(d_{x^2-y^2}\)**.

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