The diffusion constants of hydrogen and deuterium at low temperature a
re calculated using the surrogate Hamiltonian method and an embedded a
tom potential. A comparison with previous experimental and theoretical
results is made. A crossover to temperature-independent tunneling occ
urs at 69 K for hydrogen and at 46 K for deuterium. An inverse isotope
effect at intermediate temperatures is found, consistent with experim
ent. Deviations are found at low temperature where a large isotope eff
ect is calculated. (C) 1998 Published by Elsevier Science B.V. All rig
hts reserved.