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What is the edge of a diamond like?

The chemical structure of diamond is defined as an endless lattice in which each carbon atom is covalently bonded to four other carbon atoms at the four points of a tetrahedron. But of course they aren't endless; diamonds have edges and faces. So what happens when the lattice reaches the edge and there aren't any other carbon atoms to bond to? What is the "surface layer" of a diamond composed of?