The effect of the pressure on the static meniscus shape in the case of tube growth by edge-defined film-fed growth (E.F.G.) method

On the pressure difference ranges which assure a specified gap size for semiconductor crystals grown in terrestrial dewetted Bridgman

“…The earlier investigations aimed at solving practical problems such as sessile drops, rod-in-free-surface meniscus, menisci between parallel and nonparallel solid surfaces [16][17][18][19][20][21]. For shaped crystal growth, the stability of the capillary surfaces was investigated theoretically and numerically by Mika, Uelhoff and Tatarchenko for Czochralski growth [22,23], by Coriell and Cordes for floating zone [24], by Balint et al for tubes and ribbons grown by edge-defined film-fed technique [25,26]. In these investigations, the menisci are found considering variational problem of the total free energy minimum of a liquid column, and their static stability with respect to small perturbations, is studied via the conjugate point criterion of the calculus of variations.…”

“…satisfying the boundary conditions Zðr a Þ ¼ 0; Z 0 ðr a Þ ¼ 1; has no conjugate points [21][22][23][24][25][26][27], i.e., the solution ZðrÞ of the Jacobi equation is no null for any r belongs to ðr c ; r a Þ.…”