We present ab initio path integral simulations of solid hydrogen in th
e pressure range from about 150 to 700 GPa at 50 K. Comparisons of the
fully quantum-mechanical simulations with analogous ones with classic
al protons allow us to assess the nuclear quantum effects on the struc
ture. Taking into account the zero-point motion in the framework of th
e (quasi-) harmonic approximation is shown to be insufficient at megab
ar pressures. The structure of solid hydrogen at very high compression
is found to be unexpectedly diffuse due to quantum effects, sharing c
haracteristics with fluid-like or even plasma-like phases. This sugges
ts the concept of a ''quantum fluxional solid'', which cannot be under
stood in terms of a single underlying classical structure. (C) 1998 Pu
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