Monte Carlo computations have been carried out using six different potential energy parameter sets in order to investigate the low-energy structure(s) of (benzene)(13). Improved energies were identified for three previously published structures, and their resulting symmetries were identified. Each of the computed structures at 0.01 K is unique; however, each possesses at least one symmetry element: a C-3 rotational axis, a center of inversion, or both (i.e., an S-6 axis). From simulations at 1 K, it is hypothesized that there are two competing structures, separated by similar to0.2 kJ/mol. Composite coordinates are derived for both structures with 95% confidence limits. These results can be used in conjunction with experimental data to identify the precise low-energy structure(s) of (benzene)(13).