The orbital cylindrically symmetrical abut x-axis is :

Options

A. `P_z`
B. `P_y`
C. `P_x`
D. `d_(xz`

Explanation

To determine which orbital is cylindrically symmetrical about the x-axis, we will analyze the given options: Pz, Py, Px, and Dxz.

### Step-by-Step Solution:

1. **Understanding Orbital Shapes**:
- Orbitals are regions in an atom where there is a high probability of finding electrons. Each type of orbital has a distinct shape and orientation in three-dimensional space.

2. **Analyzing the Options**:
- **Pz Orbital**: This orbital is oriented along the z-axis. It has a dumbbell shape that extends in the z-direction and is not symmetrical about the x-axis.
- **Py Orbital**: This orbital is oriented along the y-axis. Similar to Pz, it has a dumbbell shape but extends in the y-direction, thus not symmetrical about the x-axis.
- **Px Orbital**: This orbital is oriented along the x-axis. It has a dumbbell shape that extends in the x-direction and is symmetrical about the x-axis.
- **Dxz Orbital**: This orbital has a more complex shape and is oriented in the xz-plane. While it has some symmetry, it is not purely cylindrical about the x-axis.

3. **Conclusion**:
- Among the options, the **Px orbital** is the one that is cylindrically symmetrical about the x-axis. This means that if you were to rotate the Px orbital around the x-axis, it would look the same from all angles.

### Final Answer:
The orbital that is cylindrically symmetrical about the x-axis is **Px**.

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