We report on the crystallization of laser cooled Mg(+) ion beams circulating in the table-top rf quadrupole storage ring PALLAS at a velocity of 2800 m/s (beam energy 1 eV). A sudden collapse of the transverse beam size and the low velocity spread clearly indicate the phase transition to a one-dimensional linear string of ions. This crystalline beam shows exceptional stability, surviving for more than 3000 revolutions without cooling. Close ...