sp hybrid orbitals are of the form C₁ 2 s+C₂ 2 pz (2 s. and 2 pz are normalised individually). The… · ABC26PH1273

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Hydrogen Atom · Exam: CSIR NET JUNE 2014 · Marks: 2 · Difficulty: Medium

sp hybrid orbitals are of the form $\mathrm{C}_{1} 2 \mathrm{s}+\mathrm{C}_{2} 2 \mathrm{p}_{\mathrm{z}}\left(2 \mathrm{s}\right.$ and $2 \mathrm{p}_{\mathrm{z}}$ are normalised individually). The coefficients of the normalized form of the above sp hybrid orbital's are
(a)$\mathrm{C}_{1}=\frac{1}{\sqrt{2}}, \mathrm{C}_{2}= \pm \frac{1}{\sqrt{2}}$
(b)$\mathrm{C}_{1}=\frac{1}{2}, \mathrm{C}_{2}= \pm \frac{1}{2}$
(c)$\mathrm{C}_{1}=\frac{1}{\sqrt{2}}, \mathrm{C}_{2}= \pm \frac{1}{2}$
(d)$\mathrm{C}_{1}=\frac{1}{2}, \mathrm{C}_{2}= \pm \frac{1}{\sqrt{2}}$
Answer
Answer: A ✓ checked by 4AB · confidence high

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

Explanation
Equivalent sp hybrids have 50 % s and 50 % p, so C₁ = 1/√2 and C₂ = ±1/√2 (a).

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