The unique properties of water in the supercooled (metastable) state are no
t fully understood(1). In particular, the effects of solutes and mechanical
pressure on the kinetics of the liquid-to-solid phase transition of superc
ooled water and aqueous solutions to ice have remained unresolved. Here we
show from experimental data that the homogeneous nucleation of ice from sup
ercooled aqueous solutions is independent of the nature of the solute, but
depends only on the water activity of the solution-that is, the ratio betwe
en the water vapour pressures of the solution and of pure water under the s
ame conditions. In addition, we show that the presence of solutes and the a
pplication of pressure have a very similar effect on ice nucleation. We pre
sent a thermodynamic theory for homogeneous ice nucleation, which expresses
the nucleation rate coefficient as a function of water activity and pressu
re. Recent observations from clouds containing ice are in good agreement wi
th our theory and our results should help to overcome one of the main weakn
esses of numerical models of the atmosphere, the formulation of cloud proce
sses.