Number of nomal planes ( planes of zero electron densit ) in the `d_(xy)` orbital is

Options

A. 1
B. 2
C. 0
D. 4

Explanation

To determine the number of nodal planes in the \( d_{xy} \) orbital, we can follow these steps:

### Step 1: Understand the Structure of the \( d_{xy} \) Orbital
The \( d_{xy} \) orbital is one of the five d-orbitals in quantum chemistry. It is oriented in such a way that it lies between the x-axis and y-axis in the xy-plane.

### Step 2: Identify the Nodal Planes
Nodal planes are regions in an orbital where the probability of finding an electron is zero. For the \( d_{xy} \) orbital, we can visualize it as having two nodal planes:
1. One nodal plane lies in the x-z plane.
2. The other nodal plane lies in the y-z plane.

### Step 3: Count the Nodal Planes
From the analysis above, we can see that there are two distinct nodal planes in the \( d_{xy} \) orbital.

### Conclusion
Thus, the number of nodal planes in the \( d_{xy} \) orbital is **2**.

### Final Answer
The number of nodal planes in the \( d_{xy} \) orbital is **2**.

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