One of the correct normalized sp² hybridorbitals is · ABC26PH0171

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Hydrogen Atom · Exam: CSIR NET 2018 · Marks: 2 · Difficulty: Easy

One of the correct normalized $\mathrm{sp^{2}}$ hybridorbitals is
(a)$\frac{1}{3} \phi_{2 s}+\frac{1}{3} \phi_{2 p x}+\frac{1}{3} \phi_{2 p y}$
(b)$\frac{1}{2} \phi_{2 s}+\frac{\sqrt{3}}{\sqrt{8}} \phi_{2 p x}+\frac{\sqrt{3}}{\sqrt{8}} \phi_{2 p y}$
(c)$\frac{1}{\sqrt{3}} \phi_{2 s}+\frac{\sqrt{3}}{\sqrt{8}} \phi_{2 p x}$
(d)$\frac{1}{3} \phi_{2 s}+\frac{2}{3} \phi_{2 p}$
Answer
Answer: B ✓ checked by 4AB · confidence medium
Explanation
Only (b) is normalised: 1/4 + 3/8 + 3/8 = 1. Options (a), (c) and (d) have squared coefficients that do not sum to 1.

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