  The ground state of a classical two-dimensional (2D) system with finite
number of charged particles, trapped by two positive impurities charges
localized at a distance (zo) from the 2D plane and separated from each other by
a distance xp are obtained. The impurities are allowed to carry more than one
positive charge. This classical system can form a 2D-like classical molecule
that exhibits structural transitions and spontaneous symmetry breaking as a
function of the separation between the positive charges before it transforms
into two independent 2D-like classical atoms. We also observe structural
transitions as a function of the dielectric constant of the substrate which
supports the charged particles, in addition to broken symmetry states and
unbinding of particles.
