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Question

Why can't two carbons form 4 bonds?

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Solution

Carbon has 4 electrons in its outermost shell and needs to gain or lose 4 electrons to attain noble gas configuration. Losing or gaining 4 electrons is not possible due to energy considerations
It cannot gain four electrons as a carbon atom has 6 protons is very small to handle 10 electrons and it cannot donate electrons as it needs a lot of energy to do so. The 4 covalent bond is energetically not favorable. So it is not able to lose or gain electrons, hence it shares electrons to form covalent bonds.

Carbon cannot form four bonds with another carbon atom because once they have the triple bond, there's no possible orbit left that would allow one more electron to orbit both the nuclei.

The first carbon to carbon bond is in that plane only. The second and the third carbon to carbon bonds are above and below the ring. The fourth bond (quadruple bond) if formed would be pointing away from the two carbons. In order for this bond to exist, the other three bonds need to be tremendously bent and this is energetically very unfeasible. This strain thus resists the formation of the quadruple bond.


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