The density of electron cloud of the orbital `d_(xy)` in yz plane is

Options

A. Zero
B. Maximum
C. Not determined
D. None

Answer

To determine the density of the electron cloud of the orbital \(d_{xy}\) in the \(yz\) plane, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Orbital Orientation**:
The \(d_{xy}\) orbital is one of the five d-orbitals and is oriented in the \(xy\) plane. This means that its lobes extend between the x and y axes.

2. **Visualize the Coordinate System**:
Draw a 3D coordinate system with x, y, and z axes. The \(d_{xy}\) orbital has lobes that lie in the \(xy\) plane, and it does not extend into the \(z\) direction.

3. **Identify the \(yz\) Plane**:
The \(yz\) plane is defined by the y and z axes. Any point in this plane has a coordinate of the form (0, y, z), meaning the x-coordinate is always zero.

4. **Determine the Electron Density in the \(yz\) Plane**:
Since the \(d_{xy}\) orbital is confined to the \(xy\) plane, when we look at the \(yz\) plane, we are effectively looking at a plane that does not intersect with the lobes of the \(d_{xy}\) orbital.

5. **Conclusion on Electron Density**:
In the \(yz\) plane, the probability density of finding an electron in the \(d_{xy}\) orbital is zero because there are no lobes present in that plane. Therefore, the density of the electron cloud of the \(d_{xy}\) orbital in the \(yz\) plane is zero.

### Final Answer:
The density of the electron cloud of the orbital \(d_{xy}\) in the \(yz\) plane is **zero**.