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A Lewis acid is a compound that accepts an electron pair. So, the H+ ion could accept an electron pair from another compound (base) to form a bond. A Bronsted Acid is a compound that donates a proton. The H+ ion would be accepted by another compound (base) to form a bond. Essentially, H+ can be a Lewis or Bronsted acid, it just depends how you explain the interaction. If you are considering how the protons move, then you would refer to a Bronsted acid/base. If you are considering how the electrons move, then you would refer to a Lewis acid/base.
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