A pharmaceutical solution consisting essentially of (i) an antioxidant effective amount of encaged atomic hydrogen in a cage-like compound, wherein the cage-like compound is present in the solution between 1 mg/l and 1,000 mg/l, and wherein the cage-like compound is selected from the group consisting of cobalamines, vitamin B12, chlorophyll, porphyrins, salen-manganese complexes, salen-cobalt complexes, silica, quartz, silicates, aluminosilicates, zeolites and clays, and (ii) an atomic hydrogen-stabilizing effective amount of an antioxidant compound.