W. Losert et al., EVOLUTION OF DENDRITIC PATTERNS DURING ALLOY SOLIDIFICATION - ONSET OF THE INITIAL INSTABILITY, Proceedings of the National Academy of Sciences of the United Statesof America, 95(2), 1998, pp. 431-438
The evolution of a dendritic pattern from a planar solid-liquid interf
ace during directional solidification of a binary alloy was investigat
ed experimentally, The model alloy used was the transparent organic cr
ystal succinonitrile doped with the laser dye coumarin 152. The buildu
p of solute ahead of the initially stable planar interface and the sub
sequent instability of the planar front were measured in detail and co
mpared with recent theoretical calculations by Warren and Langer [Warr
en, J. A. & Langer, J. S. (1993) Phys. Rev. E 47, 2702-2712]. The fluo
rescence of coumarin 152 was used for direct observations of the evolu
tion of the solute concentration profile ahead of the initially planar
solid-liquid interface, UV absorption was used to produce thermal per
turbations of the sample that generated spatially periodic modulations
of the planar interface. This technique allows for measurement of bot
h positive and negative linear growth coefficients (determined from th
e growth or decay rate of the modulation after the perturbation is swi
tched off) for a large range of wave vectors, Measurements of the evol
ution of the concentration profile and the linear growth coefficients,
and the occurrence of the initial instability, were in good agreement
with the Warren-Langer predictions.