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Pi and Sigma bonds

Why or why isn't it possible to have pi bonds between two atoms without there being a sigma bond?

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Source(http://www.bcpl.net/~kdrews/hybridization/hybrids5.html
All atoms require a minimum of one bond to hold two atoms together.
The extra bonds ,when they are found between two atoms, are used to help atoms obey the Octet Rule which states that all covalently bonded atoms will strive to surround themselves with four pairs of electrons, or ...

Solution Summary

The solution discusses why or why isn't it possible to have pi bonds between two atoms without there being a sigma bond.

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