A "Lewis acid" is an electron-pair acceptor........
Explanation:
NCl_3, NH_3, and PCl_3 are all electron donors. AlCl_3 is an electron pair acceptor, and may thus be classified as a Lewis acid. In fact much of the chemistry of aluminum may be rationalized on the basis of the tendency of the metal to complete its valence electron shell, i.e. to satisfy its intrinsic Lewis acidity: