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I came across this article on stack exchange which mentioned a cyclic compound of four carbon atoms each connected with a double bond to the two adjacent carbon atoms. However, this made me think what would be the name given to such a compound. Also, could this similar compound exist? If so, what would be its name?

compound

Mithoron
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    This abomination ist called C4, and it is very unstable. Joking aside though, his is just one possible structure of $\ce{C4}$, and they all are unstable. The image given here likely is not a good approximation to what a "quadratic" arrangement of 4 carbons would be like. – Martin - マーチン Mar 09 '24 at 15:39
  • One could call such structure cyclobutadiyne. Except it's organic nomenclature name. – Mithoron Mar 09 '24 at 16:02
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    https://chemistry.stackexchange.com/questions/19475/hydrocarbons-with-only-4-carbon-atoms – Mithoron Mar 09 '24 at 16:04

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