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Many organic chemicals are not only stable in a reducing atmosphere, they are aided in their formation in such. Remember, a "reduction" is accomplished by the addition of electrons, which contribute a negative charge; however, electrons cannot be forced upon an atom which has no appropriate orbital slots open. Adding electrons to an atom with open orbital slots can allow it to create covalent bonds, such as binding with hydrogen or nitrogen, or can give the atom a net negative charge (polarity) allowing it to form polar bonds with other molecules. In biological processes, adding electrons also often functions to kick the potential energy of the molecule higher, a potential energy which can be released to power metabolism later. The real danger to many organic chemicals comes from an oxidising atmosphere, which strips away electrons -- this can be done forcibly, by the atmosphere creating a stronger attraction for the electrons than the organic molecules have, and results in the instability of the atom and/or the destruction of covalent and polar bonds in the molecule due to the loss of the electrons.
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