The hydrogen atomic orbital given by Nr² e^(-r)/(3a₀) (3cos ²θ-1) represents

(c) 3d orbital. Explanation: r² (l = 2) × e−r/3a₀ (n = 3) × (3cos²θ − 1): the 3dz² orbital.

Q94 · CSIR-NET Chemistry, June 2016

Paper: CSIR-NET June 2016 · Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Hydrogen Atom · Marks: 2 · Difficulty: Easy

The hydrogen atomic orbital given by $\mathrm{Nr}^{2} e^{\frac{-r}{3a_{0}}}\left(3\cos^{2}\theta-1\right)$ represents

(a)$2 p$ orbital

(b)3p orbital

(c)3d orbital

(d)4d orbital

Answer

Answer: C ✓ checked by 4AB · confidence high

The source book printed no answer; this one was worked out and checked — see the explanation.

Explanation

r² (l = 2) × e^{−r/3a₀} (n = 3) × (3cos²θ − 1): the 3d_z² orbital.

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