The three sp2 hybridized orbitals in carbon atom may be

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The three sp2 hybridized orbitals in carbon atom may be written as linear combinations of 2s, 2px, and 2py orbitals:

\(h_{1} = s+ \sqrt{2p_{y}}\)

\(h_{2} = s+ \sqrt{\frac{3}{2}p_{x}}-\sqrt{\frac{1}{2}p_{y}}\)

\(h_{3} = s - \sqrt{\frac{3}{2}p_{x}}-\sqrt{\frac{1}{2}p_{y}}\)

Normalize the three hybrid orbitals assuming s, px, and py are normalized and orthogonal to each other.

Also show that the three hybrid orbitals are orthogonal to each other.

 

Reference no: EM13585897

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