No. of radical nodes in 4d ` x^(2) -y^(2) ` orbitals are

Answer

To find the number of radial nodes in the 4d \( x^2 - y^2 \) orbital, we can use the formula for calculating the number of radial nodes:

**Step 1: Identify the principal quantum number (n) and azimuthal quantum number (l).**
- The principal quantum number \( n \) for the 4d orbital is 4.
- The azimuthal quantum number \( l \) for d orbitals is 2.

**Step 2: Apply the formula for radial nodes.**
- The formula to calculate the number of radial nodes is:
\[ \text{Number of radial nodes} = n - l - 1 \]
- Substituting the values we have:
\[ \text{Number of radial nodes} = 4 - 2 - 1 \]

**Step 3: Perform the calculation.**
- Now, calculate:
\[ 4 - 2 - 1 = 1 \]

**Conclusion:**
- Therefore, the number of radial nodes in the 4d \( x^2 - y^2 \) orbital is **1**.

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