  The Embedded-Atom Model (EAM) provides a phenomenological description of
atomic arrangements in metallic systems. It consists of a configurational
energy depending on atomic positions and featuring the interplay of two-body
atomic interactions and nonlocal effects due to the corresponding electronic
clouds. The purpose of this paper is to mathematically investigate the
minimization of the EAM energy among lattices in two and three dimensions. We
present a suite of analytical and numerical results under different reference
choices for the underlying interaction potentials. In particular, Gaussian,
inverse-power, and Lennard-Jones-type interactions are addressed.
