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What is a disproportionation?

What is a disproportionation? Here are some definitions.

Noun
  1. (chemistry) A form of redox reaction in which part of a reactant is oxidized and part of it is reduced simultaneously
  2. (chemistry) A reaction wherein a single reactant generates two chemical species which are different from each other and the initial reactant.
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Examples
The disproportionation of chlorine dioxide to chlorate and chlorite in aqueous solution is very slow.
Vinyl polyperoxides degrade through two competing reactions, they pyrolyze unimolecularly through a chain unzipping process but they photolyze mainly through a disproportionation mechanism involving hydrogen transfer process.
It has been shown above that sulphur disproportionation was probably active in the basin, allowing for a higher fractionation between sulphates and sulphides.
It undergoes disproportionation in alkaline media.
This is followed by decomposition initiated by radicals generated by the terminal double bonds formed by the disproportionation process.
Side reactions might also take place, beside alkylation, namely, disproportionation.

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