Heat of freezing for supercooled water: measurements at atmospheric pressure

Hypercooling Temperature of Water is about 100 K Higher than Calculated before

For deeply supercooled liquids the transition from a two-stage freezing process to complete solidification in just one freezing step occurs at the hypercooling temperature, a term that seems to be almost unknown in water research; to our knowledge, it has only been mentioned by Dolan et al. for high-pressure ice. The reason for the absence of this expression may be that the best estimate to be found in the literature for the hypercooling temperature of water is about -160 °C (113 K). This temperature is far below the limit of experimentally realizable degrees of supercooling near -40 °C (233 K), which marks the homogeneous nucleation temperature T_H of common pure water; in fact, it is even below the glass-transition temperature (133 K). Here we show that, surprisingly, a more thorough analysis taking into account the temperature dependence of the heat capacities of water and ice as well as of the enthalpy of freezing shows that the hypercooling temperature of water is about -64 °C or 209 K, almost 100 K higher than estimated before. One of the most exciting consequences is that existing experiments are already able to reach these degrees of supercooling, and it is our prediction that a transition in the freezing behavior occurs at these temperatures.

Critical Radius of Supercooled Water Droplets: On the Transition toward Dendritic Freezing

The freezing of freely suspended supercooled water droplets with a diameter of bigger than a few micrometers splits into two rather different freezing stages. Within the first very fast dendritic freezing stage a spongy network ice with an ice portion of less than one-third forms and more than two-thirds of liquid water remain. In the present work the distribution of the ice portion in the droplet directly after the dendritic freezing phase as well as the evolution of the ice and temperature distribution has been investigated in dependence of the most relevant parameters as droplet diameter, dendritic freezing velocity (which correlates with the supercooling) and heat transfer coefficient to the surroundings (which correlates with the relative droplet velocity compared to the ambient air and with the droplet size). For this purpose on the experimental side acoustically levitated droplets in climate chambers have been investigated in combination with high-speed cameras. The obtained results have been used for finite element method (FEM) simulations of the dendritic freezing phase under consideration of the beginning second, much slower heat-transfer dominated freezing phase. A theoretical model covering 30 layers and 5 shells of the droplet has been developed which allows one to describe the evolution of both freezing phases at the same time. The simulated results are in good agreement with experimental as well as with calculated results exploiting the heat balance equation. The most striking result of this work is the critical radius of the droplet which describes the transition of one-stage freezing of the supercooled water droplet toward the thermodynamically forced dendritical two-stage freezing in which the droplet cannot sufficiently get rid of the formation heat anymore. Depending on the parameters named above this critical radius was found to be in the range of 0.1 to 1 μm by FEM simulation.