Introduction

Various physical properties of ice and water have been studied by scientists for a long time, but a more detailed knowledge of the freezing process is necessary for the better understanding of these problems. The best work on the freezing of water has been done by AltbergReference Altberg ¹ in his studies of anchor ice, as observed in the freezing of various rivers in the U.S.S.R. In this paper some qualitative results of observátions on freezing phenomena are reported.

The experiments were carried out in a cold chamber at the Institute of Low Temperature Science annexed to the University.

Shadow-Photograph Method

Fig. 1

The macroscopic freezing processes occurring on a comparatively large area of water surface are the most suited for the study by the photographic method.Reference Arakawa and Higuchi ² The apparatus used is shown schematically in Fig. 1 (above).

An ice crystal C formed on the surface of water in a shallow vessel D is illuminated from above by a point light from source L. The bottom of this vessel is made of glass. Thus a shadow of the ice crystal is projected through it onto photographic paper P, which is placed just beneath the bottom of the vessel. By giving a suitable exposure with an electric switch, a clear photograph of the ice crystal can be obtained. It is also possible to observe directly the shadow of the crystal projected onto a sheet of white paper placed at P. In this case, the white paper should be placed a few centimetres away from the bottom of the glass in order to get the most contrasting image.

The Disc Crystal

ImaiReference Imai ³ has reported that disc crystals are formed which are optically uniaxial with their principal axis perpendicular to the surface of the disc. The present author’s observations under a polarizing microscope also agree with that report. Further, such a crystal is probably optically positive. These properties are the same as have previously been obtained for bulk ice. ⁴ A series of shadow photographs, Figs. 2–9 (p. 465), show successive stages of the growth of a disc crystal into a dendrite. Fig. 2 shows the state just before the formation of a “notched” crystal. A black circle appears at a certain distance from the periphery of the crystal, and gradually shrinks inwards as shown in Fig. 3. In a short time it disappears and the crystal takes a notched or incised form. The black circle indicates gradual changes in the surface at the edge of the crystal. Six main branches radiate prominently in a stellar form, and then a beautiful dendrite attains its perfect shape similar to that of a stellar crystal of snow. Figs. 10 and 11 (p. 466) are ordinary photomicrographs of another crystal in the early stage of dendrite formation. There is some difference in appearance between the pictures taken by the two photographic methods.

Successive stages of denidritic growth. Photographs taken at intervals of 30 seconds

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Fig. 7

Fig. 8

Fig. 9

Fig. 10 Dendritic growth of a disc crystal in water. × 22

Fig. 11 Growth of secondary branches one minute after Fig.10. × 22

Dendrite Growth

Ice crystals on the water surface are nearly dendritic in the later stages of growth. Fig. 12 (p. 467) shows various forms of dendrites formed on the water surface. On a wide water surface, dendrites often grow into a kind of criss-cross pattern as shown in Fig. 13 (p. 467). The process of freezing as observed on a glass plate placed at the bottom of the vessel shows one more interesting phenomenon which suggests a certain mechanism for dendritic growth. Photomicrographs, Figs. 14 and 15 (p. 466), show the early stages of the dendritic growth in this case. Fig. 14 shows five needle-like crystals grown in slightly supercooled water; they have flat surfaces in their early stages, but gradually many transverse furrows are produced on the flat surfaces. Then new branches develop from the points intermediate between those furrows. The primary branches have an optic axis different from that of the mother needles. In Fig. 14, after the mother crystal had grown out into a continuous wide front, the primary branching occurred a little more sparsely between furrows, and grew into fan-shaped crystals at a slight inclination to the mother crystal.

Fig. 12 Shadow photograph of various forms of dendrites growing on water surface. Natural size

Fig. 13 Dendrite grown into chequered or criss-cross form. ×1.5

Fig. 14 Needle-like crystals with furrows on their surfaces. × 22

Fig. 15 Fan-shaped crystals grown from the mother crystal. × 22

Discussion

It may now be asked why an ice crystal grows into a disc form. The answer is to be found in the mechanism of the dendritic growth of the crystal. The consistent behaviour shown in Fig. 13 suggests that internal conditions are more important than external ones. The growth of the furrows on the mother crystal suggests the existence of a mechanical stress in the crystal. Then imperfections caused by this stress would play the part of effective nuclei for the successive branching.

In conclusion, the author wishes to express his indebtedness to the Educational Ministry of Japan for financial assistance in making this research.