An atomistic model, completely devoid of empirical parameters, of a copper crystal is presented. The crystal energy, composed by an electrostatic term and electron statistical approximations for the exchange, correlation and kinetic energies, is expressed as a function of the lattice parameter, and then minimized. The equilibrium compressibility is deduced. Resulting values of energy, lattice parameter and compressibility agree with experiment. Furthermore, the model is found to satisfy the virial theorem. It is concluded that the cohesive properties of Cu are well described by electron statistics.