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An atomic orbital has the following observed properties: (1) The xy-plane acts as a nodal plane. (2) The angular part of the orbital's wavefunction crosses all three coordinate axes only at the origin. (3) The radial probability distribution R²(r) vs r plot shows 3 peaks (3 radial nodes + 1 region of probability). Identify the orbital.

1. 5p_z
2. 6d_xy
3. 6d_(x²-y²)
4. 6d_yz

Correct answer: 6d_yz

Solution

The xy nodal plane points to an orbital with lobes not in the xy plane. The d_yz orbital has lobes in the yz plane and nodal planes at xz and xy. It satisfies observation 1 (xy is nodal). For n=6, l=2 (d orbital): radial nodes = 6-2-1 = 3, matching the R²(r) curve with 3 radial nodes. The orbital is 6d_yz.

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