We have measured the tip growth velocity vₜᵢₚ and the tip radius R of krypton dendrites growing into a supercooled melt in the supercooling range 0.005<ΔT<0.25 K. The experimental results can be fitted by vₜᵢₚ=3.1×10^-2ΔT1.73 cm/s and R=6.7×10^-4ΔT^-0.68 cm which is compatible with vₜᵢₚR∝ΔT. Our experimental data do not confirm the stability hypothesis according to which vₜᵢₚR²=const. The dendrites show four fins equal in shape and size in the dendrite tip region, indicating anisotropic attachment kinetics and corresponding influence on the growth rate.
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Bilgram et al. (1988) studied this question.
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