One is the Arrhenius definition, which revolves around the idea that acids are substances that ionize (break off) in an aqueous solution to produce hydrogen (H + ) ions while bases produce hydroxide (...One is the Arrhenius definition, which revolves around the idea that acids are substances that ionize (break off) in an aqueous solution to produce hydrogen (H + ) ions while bases produce hydroxide (OH - ) ions in solution. Also, the Lewis theory of acids and bases states that acids are electron pair acceptors while bases are electron pair donors.