Q90 · CSIR-NET Chemistry, June 2016
Paper: CSIR-NET June 2016 · Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Hydrogen Atom · Marks: 2 · Difficulty: Easy
One of the correct normalized $\mathrm{sp}^{2}$ hybridorbitals is
(a)$\frac{1}{3} \phi_{2 \mathrm{s}}+\frac{1}{3} \phi_{2 \mathrm{px}}+\frac{1}{3} \phi_{2 \mathrm{py}}$
(b)$\frac{1}{2} \phi_{2 \mathrm{s}}+\frac{\sqrt{3}}{\sqrt{8}} \phi_{2 \mathrm{px}}+\frac{\sqrt{3}}{\sqrt{8}} \phi_{2 \mathrm{py}}$
(c)$\frac{1}{\sqrt{3}} \phi_{2 \mathrm{s}}+\frac{\sqrt{3}}{\sqrt{8}} \phi_{2 \mathrm{px}}$
(d)$\frac{1}{3} \phi_{2 \mathrm{s}}+\frac{2}{3} \phi_{2 \mathrm{p}}$
Answer
Answer: B ✓ checked by 4AB · confidence low
The source book printed no answer; this one was worked out and checked — see the explanation.
Explanation
Only (b) is normalised (1/4 + 3/8 + 3/8 = 1). A true sp² hybrid would have s-coefficient 1/√3, so the question is imperfect (b).
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