Air-liquid meniscus in crystal growth

Guozhen Tang

doi:10.1117/12.318284

5 August 1998 Air-liquid meniscus in crystal growth

Guozhen Tang

Proceedings Volume 3557, Current Developments in Optical Elements and Manufacturing; (1998) https://doi.org/10.1117/12.318284
Event: Photonics China '98, 1998, Beijing, China

Abstract

We conside the interface separates a gas and a liquid, for example, the air-liquid meniscue in crystal growth — to solve the Laplace-Young equation 2 — b" y — 1(1 + y12)3/2 x(1 + y12)1/2 with the known endpoints y(r) = Ii and y —0 as x —p cxo, where 3 = 2o-o/gAp is a positive constant - the Laplace constant. When using Taylor expansion in y about y = h and integrating once from the base of the meniscus (y = 0), we obtain a relation 2 /3sinco — 2coso0 where c0 is contacting angle at point (i, /) and an approximate analytical expression foi tue interface AThen compared with accurate numerically computed values a better agreement is obtained

Keywords: crystal growth, air-liquid meniscue

Citation Download Citation

Guozhen Tang "Air-liquid meniscus in crystal growth", Proc. SPIE 3557, Current Developments in Optical Elements and Manufacturing, (5 August 1998); https://doi.org/10.1117/12.318284

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