  A full energy spectrum of the spin-1/2 Heisenberg cubic cluster is used to
investigate a low-temperature magnetization process and adiabatic
demagnetization of this zero-dimensional 2x2x2 quantum spin system. It is shown
that the antiferromagnetic spin-1/2 Heisenberg cube exhibits at low enough
temperatures a stepwise magnetization curve with four intermediate plateaux at
zero, one quarter, one half, and three quarters of the saturation
magnetization. We have also found the enhanced magnetocaloric effect close to
level-crossing fields that determine transitions between the intermediate
plateaux.
