Nodal plane of an orbital is the region around the nucleus where probability of finding electrons of that orbital is zero. Number of nodal planes of an orbital = l.
Which of the following contains at least one common nodal plane? 

Options

A. `p_x` and `d_(xz)`
B. `d_(xy) and d_(x - y)`
C. `d_(x^2 - y^2) and d_(z^2)`
D. `p_z and d_(z^2)`

Answer

To solve the question regarding the common nodal planes of orbitals, we will follow these steps:

### Step 1: Understand the concept of nodal planes
A nodal plane is a region in an orbital where the probability of finding an electron is zero. The number of nodal planes in an orbital is determined by the angular momentum quantum number (l).

### Step 2: Identify the nodal planes for different orbitals
- For **p orbitals** (l = 1): There is **1 nodal plane**.
- For **d orbitals** (l = 2): There are **2 nodal planes**.

### Step 3: Determine the nodal planes for specific orbitals
- The **p_x orbital** has a nodal plane that is the **yz plane**.
- The **p_y orbital** has a nodal plane that is the **xz plane**.
- The **p_z orbital** has a nodal plane that is the **xy plane**.

For **d orbitals**:
- The **d_{xy} orbital** has nodal planes that are the **xz and yz planes**.
- The **d_{xz} orbital** has nodal planes that are the **xy and yz planes**.
- The **d_{yz} orbital** has nodal planes that are the **xy and xz planes**.

### Step 4: Analyze the common nodal planes
We need to find orbitals that share at least one common nodal plane:
- The **p_x** and **d_{xy}** share the **yz plane** as a common nodal plane.
- The **p_y** and **d_{xz}** share the **xz plane**.
- The **p_z** and **d_{yz}** share the **xy plane**.

### Step 5: Conclusion
Based on the analysis, we conclude that the orbitals **p_x** and **d_{xy}** share a common nodal plane, making them the correct answer to the question.

### Final Answer:
The orbitals that contain at least one common nodal plane are **p_x and d_{xy}**.

---