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H-O-H (water), H-O-O-H (hydrogen peroxide), H-O-O-O-H, H-O-O-O-O-H, etc.

This is analogous to hydrocarbon chains, methane, ethane, propane, butane, etc.

Note the Hydroxygen Chains satisfy 2 covalent bonds for every oxygen atom, just as every Hydrocarbon Chain satisfies 4 covalent bonds for every carbon atom. Yet the oxygen chains seem unstable. Why?

I can't imagine it has anything to do with shells deeper than p. And carbon and oxygen are very close together on the same row, so it would appear the valence shells are the same and thus governed by the same laws.

I'm also aware of those weird exceptions, Ozone and Red Oxygen. Maybe that has something to do with it, but I don't know how those bonds work either.

I also saw this related question. It just asks if they're possible. I didn't see any explanation about why they're unstable.

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marked as duplicate by Mithoron, Todd Minehardt, Jon Custer, airhuff, Nilay Ghosh Jun 6 '18 at 8:52

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The top of the p block is unusual in the atoms being so small they can readily form strong multiple bonds, because (from a VB point of view) they can get close enough for good side-by-side p orbital overlap. Hence they prefer to form multiple bonds if they can, and both N and O can do that to form diatoms. So extended chains of either N or O atoms are generally less stable than a collection of N2 or O2 molecules. Or if you have extra capping atoms around, like H, then a collection of N2/O2 plus some H2O/NH3, et cetera.

Carbon is the exception because it has four valence electrons, and a quadruple bond to form C2 is too high energy. (From a VB point of view, there are no valence atomic orbitals left to overlap to form the 4th bond.) The next smallest molecule it can form with itself with lots of double bonds is buckminsterfullerene (C60). So without another element around, a long chain of O atoms can form a more stable collection of O2 molecules, while a long chain of C atoms can't form anything more stable at all. (When other elements are around, all bets are off: long chains of carbon tipped with hydrogen are notoriously unstable to CO2 and H2O if there's plenty of oxygen around.)

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