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In which of the following pairs of orbitals do both orbitals have the same number of radial (spherical) nodes?

1. 4d_z² and 4f
2. 3d_(x²-y²) and 3pₓ
3. 4d_xy and 3d_z²
4. 3pₓ and 4d_(x²-y²)

Correct answer: 3pₓ and 4d_(x²-y²)

Solution

3pₓ (n=3, l=1) has 3-1-1=1 radial node, and 4d_(x²-y²) (n=4, l=2) has 4-2-1=1 radial node. All other pairs have different counts.

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