Conventional　batteries　(except　redox　flow　batteries)　react　by　involving　only　their　electrode　redox　centers,　with　electrolyte　ions　shuttled　between　the　cathode　and　the　anode.　However,　this　chemistry　causes　large　electronic　and　structural　changes　in　the　bulk　of　the　electrode　materials,　leading　to　performance　degradation.　Herein,　we　report　that　electrolytic-anion-redox　adsorption　pseudocapacitance,　relayed　by　lithium　intercalation　in　lithium-free　transition　metal　oxide　electrodes,　can　be　exploited　to　boost　the　total　energy　density　of　a　battery.　Focused　on　the　study　of　Mn3O4,　we　show　that　this　pseudocapacitance　is　processed　by　the　reversible　adsorption/desorption　of　PF6-　on　the　surface　of　transition　metal　oxides,　with　charge　transfer　between　Mn3O4　and　PF6-　through　Mn-F　bond　while　fluoride　ions　acting　as　redox　centers.　This　new　electrolytic-anion-redox　chemistry　provides　greater　design　freedom　for　high-capacity　energy　storage　devices　since　it　only　involves　a　specific　electrode　surface　and　the　electrolyte　anion,　rather　than　specially　crystallized　compounds　for　bulk　reactions.