The unusual properties of liquid water are usually attributed to hydrogen b
onding. A longstanding question is whether the continuum of strengths of hy
drogen bonds in water can be usefully simplified to two states: 'intact' an
d 'broken'. We show that such a simplification is justified by two very dif
ferent computational models of water. We then show that there is a unique v
alue of the free energy (Delta G), enthalpy (Delta H), and entropy (Delta S
) for breaking a hydrogen bond in pure water that gives quantitative agreem
ent with both Raman spectra and the known heat capacity of water: Delta G =
480 cal mol(-1), Delta H = 1.9 kcal mol(-1), and Delta S/k = 2.4. Breaking
a water/water hydrogen bond in the first solvation shell around Argon, a n
onpolar solute, leads to Delta G 620 cal mol(-1), Delta H = 2.4 kcal mol(-1
) and Delta S/k = 3.0. A prediction, not yet tested experimentally, is that
the hydrophobic heat capacity should decrease dramatically in superceded w
ater.