This is interesting because... all of my synthetic organic chemistry experience tells me that H2O2 is too unstable to be viable in a Martian environment... if it does--perchance-- play a role -- my gut instinct tells me that it may be through the "complexation with various metallic species" via previously little-known mechanism.

aside:
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This calls to mind some of the brilliant and idiosyncratic synthetic reagents invented by Dr. E. J. Corey -- he and his intellectual family were responsible for the introduction numerous organo-metallic oxidation, reduction and many synthetic steps that used transition metals as the "heart" of their inventions.

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"The candle flame gutters. Its little pool of light trembles. Darkness gathers. The demons begin to stir."
---Carl Sagan