The stability of the recently characterized type II hydrogen clathrate [Mao, W. L., Mao, H.-K., Goncharov, A. F., Struzhkin, V. V., Guo, Q., et al. (2002) Science 297, 2247-2249] with respect to hydrogen occupancy is examined with a statistical mechanical model in conjunction with first-principles quantum chemistry calculations. It is found that the stability of the clathrate is mainly caused by dispersive interactions between H2 molecules and the water forming the cage walls. Theoretical analysis shows that both individual hydrogen molecules and nH2 guest clusters undergo essentially free rotations inside the clathrate cages. Calculations at the experimental conditions ؊ 2,000 bar (1 bar ؍ 100 kPa) and 250 K confirm multiple occupancy of the clathrate cages with average occupations of 2.00 and 3.96 H2 molecules per D-5 12 (small) and H-5 12 6 4 (large) cage, respectively. The H2-H2O interactions also are responsible for the experimentally observed softening of the HOH stretching modes. The clathrate is found to be thermodynamically stable at 25 bar and 150 K. C lathrate hydrates are a class of inclusion compounds in which guests (noble gases or small organic molecules) occupy, fully or partially, cages in the host framework made up of H-bonded water molecules (1). Clathrate hydrate research is of fundamental and practical importance and involves a broad variety of scientific disciplines. The behavior of clathrate hydrates under pressure can provide valuable information on water-water interactions and interactions of water with a wide range of guests. Methane hydrate is the most abundant natural form of clathrate. An estimate of the global reserve of natural gas in the hydrate form buried in the permafrost and sediments underneath the continental shelf is significantly larger than that from traditional fossil fuels and will be a valuable future energy resource (2). On the negative side, the blockage of natural gas pipeline by solid hydrocarbon hydrates is a potentially hazardous and expensive problem that has not been fully resolved (3). Methane hydrates also represent a potential source of climate instability. As warming proceeds downward toward the seafloor and reaches the limits of hydrate stability, the hydrate will decompose, and some of the methane gas will escape to the atmosphere and increase the greenhouse effect. There are recent reports suggesting that a cause of ancient global warming and mass extinction of many forms of life 183 million years ago may be traced to sudden eruption of oceanic methane hydrate (4, 5). Clathrate hydrates also may be the most abundant form of volatile materials in the solar system. The possible existence of gas hydrate is crucial to the modeling of bodies in the solar system. The identification of several high-pressure forms of methane hydrates has helped to reconcile the origin of the presence of large amount of methane in the atmosphere of Saturn's moon Titan (6). Solid clathrate hydrate also has been suggested to exist in comets in order to explain the large differenc...