We consider a system of charged particles interacting with an unscreened Coulomb repulsion in a two-dimensional parabolic confining trap. The static charge on a portion of the particles is twice as large as the charge on the remaining particles. The particles separate into a shell structure with those of greater charge situated farther from the center of the trap. As we vary the ratio of the number of particles of the two species, we find that for certain configurations, the symmetry of the arrangement of the inner cluster of singly-charged particles matches the symmetry of the outer ring of doubly-charged particles. These matching configurations have a higher melting temperature and a higher thermal threshold for intershell rotation between the species than the nonmatching configurations. [6], and charged dust particles in plasma traps [7]. The 2D charged clusters also resemble the problem of charge distribution studied by Thomson in his "plum-pudding" model of the atom [8].When confined to a parabolic trap, charged particles form a structure of concentric rings, with the inner particles forming a distorted triangular lattice resembling a defected Wigner crystal, and the outer rings taking on a more circular shape that conforms to the radial symmetry of the trap [9,10]. Among the possible charge configurations are several "magic" arrangements in which the number of particles is such that the shells form with only a few symmetrically distributed dislocations, and so have a reduced total energy compared to what is predicted based on a semi-empirical approximation [11]. Bubeck et al. [5] have observed that certain colloidal clusters confined by a circular hard-wall trap exhibit two-stage melting, in which intershell rotation between the outer two shells occurs at temperatures below the temperature at which particles are able to jump between the shells.Several explanations of this two-stage melting phenomenon have been proposed [9,[12][13][14], all of which focus on the intershell rotation which occurs prior to the exchange of particles between shells. Most plausible among these is the theory that the rotation is due to an incommensuration between the shapes of the potentials created by the adjacent shells. For this intershell rotation to occur, the inner shell configuration must be sufficiently stable to have a melting temperature higher than the threshold for intershell rotation.In our simulation, we extend the confined charge system to include particles with two distinct values of charge. We find that the two species separate into shells, with those of greater charge located farther from the center of the trap. This occurs due to the fact that the pinning force couples only to the position of the particle, while the interparticle repulsion is a function of both position and charge. Thus particles of greater charge are pushed farther up the walls of the parabolic trap. If two-stage melting and intershell rotation is caused by an incommensuration between the potentials formed by the particles, then we should be a...