Lithium is considered a 'simple' metal because, under ordinary conditions o
f pressure and temperature, the motion of conduction electrons is only weak
ly perturbed by interactions with the cubic lattice of atomic cores. It was
recently predicted(1) that at pressures below 100 GPa, dense Li may underg
o several structural transitions, possibly leading to a 'paired-atom' phase
with low symmetry and near-insulating properties. Here we report synchrotr
on X-ray diffraction measurements that confirm that Li undergoes pronounced
structural changes under pressure. Near 39 GPa, the element transforms fro
m a high-pressure face-centred-cubic phase, through an intermediate rhomboh
edral modification, to a cubic polymorph with 16 atoms per unit cell. This
cubic phase has not been observed previously in any element; unusually, its
calculated electronic density of states exhibits a pronounced semimetal-li
ke minimum near the Fermi energy. We present total-energy calculations that
provide theoretical support for the observed phase transition sequence. Ou
r calculations indicate a large stability range of the 16-atom cubic phase
relative to various other crystal structures tested here.