The geometries of MgC 2 , (MgC 2 ) 2 , and (MgC 2 ) 4 in their ground and low-lying excited electronic states have been determined via ab initio electronic structure methods with flexible basis sets and using various approaches for treating electron correlation. We find these species to involve primarily ionic bonding and to be very thermodynamically stable. We find the C 2 2-moiety to exhibit both 1-and 2-fold coordination to the Mg 2+ sites in the two larger clusters, which is reminiscent of what is seen in transition metal met-car compounds.Recently we predicted 1 that Mg 2 Al 4 O 8 and Na 4 Mg 4 O 6 have distorted rhombic dodecahedron structures that are thermodynamically very stable, and we proposed a simple electrostatic model for predicting a wide variety of such stable polyhedral structures that are built from atomic or small molecular ions.In the present Letter, we extend our earlier study to ionic clusters composed of magnesium ions and molecular C 2 2-ions, in particular to species in which the C 2 2-moiety can be coordinated either to one or to two counterions (i.e., in a linear or side on geometry). Similar coordination possibilities for C 2 2-have been suggested to occur in the new class of species known as Met-Cars that have the formula M 8 C 12 (M ) Ti, V, Zr, Hf, Fe, Cr, and Mo). 2-6 Specifically, Castleman et al. 2-4 proposed a pentagonal dodecahedral cage structure for the Met-Cars in which each of the pentagonal faces contains three C atoms and two M atoms. Both to extend our earlier work on threedimensional clusters containing Mg atoms and to further examine cases where C 2 2-coordinates in both 1-and 2-fold ways, we decided to study the title cluster compounds.The geometries of MgC 2 , (MgC 2 ) 2 , and (MgC 2 ) 4 were optimized employing analytical gradients with polarized splitvalence basis sets (6-31+G*) at the SCF levels and at the DFT (B3LYP) levels of theory. The most stable resulting structures were then reoptimized at the MP2/6-31+G* level. The MgC 2 geometry was further reoptimized at the MP2(full)/6-311+G* and at QCISD/6-311+G* levels of theory. The optimized geometries were then used to perform energy calculations at the QCISD(T)/6-311+G(2df) level for MgC 2 and at the QCISD-(T)/6-311+G* level for (MgC 2 ) 2 . The fundamental vibrational frequencies, normal coordinates, and zero-point energies (ZPE) were calculated by standard FG matrix methods within the Gaussian 94 program. 7 In the remainder of this Letter, we present results only for the most stable structures of MgC 2 , (MgC 2 ) 2 , and (MgC 2 ) 4 ; we will present the results of our extensive investigations of other low-energy structures in a subsequent full paper, which will include a comprehensive study of the intramolecular rearrangements of these molecules, results of our search for the globalminimum structures including a wide variety of tentative structures, and the multiplicities and ionization potentials for all molecules examined. Our results for the lowest energy structures of MgC 2 , (MgC 2 ) 2 , and (MgC 2 ) 4 a...