The quasicrystal approximation of Woo and Massey is employed to compute the ground state energy of solid molecular hydrogen using (i) a Lennard-Jones 6-12 potential, and (ii) a Buckingham exp-6 potential. The densities considered range from 2.67 x 10^(-2) to 5.57 ~ 10^(-2)Å^(-3), corresponding to pressures up to about 20 kbar: Results obtained with the exp-6 potential are in good agreement with the earlier work of Krumhansl and Wu, even through the present work is carried out using a more rapidly convergent cluster expansion procedure. This suggests that short-range correlations become ineffectual at high densities, rendering the solid more Hartree than quantum, as was first suggested by Krumhansl. Results obtained with the Lennard-Jones potential are in substantially better quantitative agreement with experiment.