why C2 is not formed
expand on your question please.
why would it?
carbon 2 does not usually form because it would require a quadruple bond between the two atoms, and quadruple bonds do not exist. however, carbon 2 does form at extremely high temperatures and in the tails of comets. the light seen is usually an emission of diatomic carbon
quadruple bonds do exist, but only between metals (need a sufficiently large radius and, at least, d-orbitals). I've never heard of the last part of what you said, but sounds interesting.
we're talking about bonding to make an octet though, so d orbitals do not apply, as they bond extraneously and are do not contain valence electrons
why would bonding be restricted to the octet rule? some bonds (not all) involving the d orbitals do show covalent character.
its not,but in carbon bonding, there is no d orbital, and it does not relate to this problem. thta was the intended meaning.
you said "quadruple bonds do not exist", not "carbon can't form quadruple bonds". Just sayin'
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