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Question

Why in ethene angle between carbon hydrogen bonds is slightly less than angle between carbon hydrogen and carbon carbon Bond?

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Solution

Ethene
Hybridisation = Sp2
Shape is planar.

The H-C-H bond angle in ethene is 117° and the H-C-C angle is 121.5°

There are two reasons that combine to explain this angular deformation in ethene.

● First, from these bond angles we can determine that the C-H sigma bonds are (Sp2.2) hybridized and the C-C sigma bond is (Sp1.7) hybridized.

From this hybridization we see that the C-C sigma bond has higher s-character content (1 part s to 1.7 parts p - 37% s) than the C-H bonds (1 part s to 2.2 parts p - 31% s). Since there is more s character in the C-C bond,
it is lower in energy and the carbon sigma electrons will tend to flow towards this lower energy C-C bond. Consequently, the C-C sigma bond will contain more electron density than the C-H bonds. Therefore, the electron repulsion between the C-C sigma bond and C-H sigma bonds will be greater than the electron repulsion between the two C-H bonds. Hence the H-C-C bond angle will open up slightly from the sp2 ideal of 120° and the H-C-H angle will close down slightly in order to minimize the bond-bond electrostatic repulsions.

● Second, steric factors (which are also really just another way of describing electron-electron repulsion) may also come into play. To whatever extent the cis H-C-C-H hydrogen-hydrogen repulsion is more destabilizing than the geminal H-C-H hydrogen-hydrogen repulsion, it will also serve to increase the C-C-H bond angle and shrink the H-C-H bond angle.


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