M. Christov et Gk. Kirov, THE RATIO OF DISSOLVING SURFACE-AREA GROWING SURFACE-AREA IN THE HYDROTHERMAL GROWTH OF QUARTZ, Journal of crystal growth, 131(3-4), 1993, pp. 560-564
It was experimentally confirmed and theoretically proved that in the r
ecrystallization of mineral substances through thermal gradient method
s there exists a critical value of the ratio s = dissolving surface ar
ea/growing surface area. In the simplest case when the dissolution and
growth can be treated as first order reactions, the critical value is
determined by the ratio of the rate constants of the two processes, s
(cr) = k / k'. As long as the actual ratio of surface areas in an expe
riment is greater than s(cr), the growth rate of the seed does not dep
end on the surface areas, but when it becomes smaller than s(cr), the
nutrient surface area becomes the rate determining step in crystal gro
wth. In the hydrothermal recrystallization of quartz, a value of s(cr)
equal to or smaller than 2 was found, which is smaller and more relia
ble than the earlier proposed value of 5.