What is the relation between the shapes of `3d_(xy) and 3d_(x^2y^2)` orbitals?

Explanation

To understand the relationship between the shapes of the 3d_(xy) and 3d_(x²-y²) orbitals, we can follow these steps:

### Step 1: Visualizing the 3d_(xy) Orbital
- The 3d_(xy) orbital is shaped like a four-leaf clover, lying in the xy-plane. It has lobes that extend between the x and y axes, with nodal planes along the x-axis and y-axis.

### Step 2: Visualizing the 3d_(x²-y²) Orbital
- The 3d_(x²-y²) orbital also has a clover-like shape but is oriented differently. It has lobes that extend along the x and y axes, with nodal planes along the diagonals (i.e., the lines y = x and y = -x).

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