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The Lewis Acid-Base Definition

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The Lewis definition names an acid as an electron-pair acceptor and a base as an electron-pair donor, covering reactions with no proton transfer.

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Boron trifluoride accepts an electron pair from ammonia's nitrogen, BF3 + NH3 → F3B–NH3, with no proton moving.

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A reaction with no proton in sight can still be acid-base chemistry under the Lewis definition alone.