Jc. Lacombe et al., 3-DIMENSIONAL DENDRITE-TIP MORPHOLOGY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(3), 1995, pp. 2778-2786
We investigated the morphology of dendrite tips through the growth and
measurement of pure succinonitrile dendrites at a fixed supercooling
of 0.46 K. Many current theories of dendritic growth rely on the assum
ption that the tip region can be approximated by a paraboloid of revol
ution. The evidence presented here suggests that this assumption becom
es invalid in regions only slightly removed from the tip and well befo
re the appearance of side branches. Characterization of dendrites usin
g a fourth-order polynomial, with fourfold rotational symmetry, provid
es a useful description of the dendrite extending to regions up to eig
ht radii from the tip. This has also enabled a more precise determinat
ion of the shape and size of a dendrite tip than was heretofore possib
le. This includes information about the anisotropy of the interface mo
rphology.