A direct measure of hydrogen bonding in water under conditions ranging from
the normal state to the supercritical regime is derived from the Compton
scattering of inelastically-scattered X-rays. First, we show that a measure of
the number of electrons ne involved in hydrogen bonding at varying
thermodynamic conditions can be directly obtained from Compton profile
differences. Then, we use first-principles simulations to provide a connection
between ne and the number of hydrogen bonds nHB. Our study shows that
over the broad range studied the relationship between ne and nHB is
linear, allowing for a direct experimental measure of bonding and coordination
in water. In particular, the transition to supercritical state is characterized
by a sharp increase in the number of water monomers, but also displays a
significant number of residual dimers and trimers.Comment: 14 pages, 5 figures, 1 tabl