Undercooling Delta(t) of cell tips in directional solidification of impure
succinonitrile is measured with respect to pulling velocity V, thermal grad
ient and cell spacing. Denoting V-c as the critical velocity of planar fron
t destabilization and nu as the reduced velocity V/V (c), the relation nu D
elta(t) = 1 is evidenced in the cell to near dendritic regime 1 less than o
r equal to nu less than or equal to 17 with a high accuracy. Some of its co
nsequences are drawn. (C) 1999 Published by Elsevier Science B.V. All right
s reserved.