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The solid molecular hydrogens are the simplest and most fundamental molecular solids. Except at ultrahigh pressures on the order of a few mega- bars, where a transition to a metallic, atomic phase is expected, these solids are true molecular crystals in which the molecules retain their identity with properties not too different from those of the free molecules. At energies below the electronic excitation energy, the thermal and spectroscopic pro- perties of these solids are determined by the translational, rotational, and intramolecular vibrational motions of the interacting molecules. The theo- retical analysis of the solid-state properties in terms of the free molecules and the intermolecular interactions forms the main topic of this book. The available detailed knowledge of the properties of the free molecules makes it feasible to carry out this program to a large extent on the basis of first principles, and this is one of the attractive features of these systems. The solid hydrogens are dominated by quantum effects, the most out- standing property being that the rotation of the molecules is free down to the lowest temperatures, in the sense that the rotational quantum number J characterizing the rotational motion of the free molecules remains a good quantum number in all of the solid-state phases except at ultrahigh pressures.