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What's the name of this ion: $\ce{CN2^2-}$? I think that it has this structure: $\ce{{}^{-}N=C=N-}$.

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The parent molecule is cyanamide.

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The ion is usually referred to as either the cyanamide dianion or the carbimide dianion

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    $\begingroup$ Since cyanamide also refers to the protonated species, I prefer carbimide (or carbodiimide, which is the derived functional group), although there may not be an official preference $\endgroup$ – Ben Norris Sep 10 '14 at 22:42

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