  We apply inverse statistical-mechanical methods to find a simple family of
optimized isotropic, monotonic pair potentials, under certain constraints,
whose ground states for a wide range of pressures is the diamond crystal. These
constraints include desirable phonon spectra and the widest possible pressure
range for stability. We also ascertain the ground-state phase diagram for a
specific optimized potential to show that other crystal structures arise for
other pressures. Cooling disordered configurations interacting with our
optimized potential to absolute zero frequently leads to the desired diamond
crystal ground state, revealing that the capture basin for the global energy
minimum is large and broad relative to the local energy minima basins.
