We present an extensive study of
the quantum dynamics of molecular
hydrogen trapped within the nanocavities of two hydrate structures
at low temperatures, namely, clathrate structure II and filled ice
structure C1. By inelastic neutron scattering measurements, we investigate
a (i) simple H2 hydrate in clathrate structure II at ambient
and high pressure and different temperatures, (ii) binary He–H2 hydrate in clathrate structure II at high pressure and different
temperatures, (iii) simple D2 hydrate in clathrate structure
II at ambient pressure and different temperatures, and (iv) simple
H2 hydrate in structure C1 at high pressure and different
temperatures. Molecular quantum rotations and translations, as well
as combinations of these are identified in the spectra for hydrogen
molecules in the small and large cages of clathrate structure II and
in the channels of structure C1 and their energy is provided.