title: Measurements of the three-dimensional shape of ice crystals in supercooled water.
abstract: Experimentally grown ice crystals from ultrapure supercooled water are imaged by means of Mach-Zehnder interferometry. By analyzing the fringe patterns the phase information and thus the three-dimensional shape of the ice crystals is recovered quantitatively. The integral parameters height of the basal plane, volume, and surface of the crystals are measured as a function of time and supercooling. It is found that all measured parameters follow a power law as a function of time and the exponents are found to be independent of the supercooling. The shape transition from the prismatic to the basal face along the main growth direction of the ice dendrites as a function of the distance from the tip is found to be a power law as well. Our findings support the validity of universal growth laws in pattern forming systems.
authors.affiliation: Institute of Low Temperature Science, Hokkaido University, 060 Sapporo, Hokkaido, Japan. hsinger@solid.phys.ethz.ch
authors.forename: H M
authors.initials: HM
authors.lastname: Singer