We analyze the thermal regime of float-zone traveling solvent crystal
growth of LaB6. We construct a one-dimensional analytical approximatio
n of the process taking into account relevant phase diagram, phase tra
nsition kinetics, and the effects of natural and Marangoni convection.
We show that convection plays a crucial role in the formation of the
thermal and mass transfer regimes of the process. First, convection st
rongly inhibits the temperature inside the melt. Second, convection in
hibits even more strongly the mass transfer resistance of the molten z
one and the temperature difference between the dissolution and solidif
ication interface. Natural convection depends strongly on the molten z
one height so that increase of the molten zone leads to a strong decre
ase in the temperature difference between solid/liquid interfaces. The
action of Marangoni convection on the heat and mass transfer is shown
to be considerably stronger; however, its influence does not depend s
trongly on the molten zone dimensions. It is shown that only the actio
n of Marangoni convection can enhance mass transport between the disso
lution and solidification interfaces to a rate sufficient to implement
the growth of LaB6 at a pulling rate of 1 cm/h. (C) 1996 American Ins
titute of Physics.