Existence and shapes of menisci in detached Bridgman growth
In detached Bridgman growth, the crystal radius is less than the crucible radius and a meniscus bridges the gap between the crystal and crucible wall. Existence of detached growth depends upon the contact angle of the melt with the crucible wall, the growth angle of the solidifying crystal, the pres...
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Published in | Journal of crystal growth Vol. 321; no. 1; pp. 29 - 35 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Amsterdam
Elsevier B.V
15.04.2011
Elsevier |
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Abstract | In detached Bridgman growth, the crystal radius is less than the crucible radius and a meniscus bridges the gap between the crystal and crucible wall. Existence of detached growth depends upon the contact angle of the melt with the crucible wall, the growth angle of the solidifying crystal, the pressure differential across the meniscus, and the Bond number. The Young–Laplace capillary equation is used to calculate the crystal radii of detached states as a function of the pressure differential across the meniscus. Both terrestrial and microgravity conditions are considered. A variety of solution states is found, and multiple solutions with different crystal radii can exist for a given value of the pressure differential. The meniscus shapes for the detached states vary from simply convex or concave to shapes with numerous inflections. An approximate solution to the Young–Laplace equation for small Bond numbers is derived. |
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AbstractList | In detached Bridgman growth, the crystal radius is less than the crucible radius and a meniscus bridges the gap between the crystal and crucible wall. Existence of detached growth depends upon the contact angle of the melt with the crucible wall, the growth angle of the solidifying crystal, the pressure differential across the meniscus, and the Bond number. The Young–Laplace capillary equation is used to calculate the crystal radii of detached states as a function of the pressure differential across the meniscus. Both terrestrial and microgravity conditions are considered. A variety of solution states is found, and multiple solutions with different crystal radii can exist for a given value of the pressure differential. The meniscus shapes for the detached states vary from simply convex or concave to shapes with numerous inflections. An approximate solution to the Young–Laplace equation for small Bond numbers is derived. |
Author | Volz, M.P. Mazuruk, K. |
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Keywords | A2. Bridgman technique A2. Microgravity conditions B2. Semiconducting germanium A2. Detached growth A2. Growth from melt Crystal growth Semiconductor materials Crucibles Contact angle Gallium phosphide Liquid meniscus Growth mechanism Germanium Growth from melt Microgravity Differential pressure Bridgman method Crystal growth from melts |
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SubjectTerms | A2. Bridgman technique A2. Detached growth A2. Growth from melt A2. Microgravity conditions B2. Semiconducting germanium Bond number Bridgman method Cross-disciplinary physics: materials science; rheology Crucibles Crystal growth Crystals Detaching Exact sciences and technology Growth from melts; zone melting and refining Growth in microgravity environments Materials science Mathematical analysis Methods of crystal growth; physics of crystal growth Physics Theory and models of crystal growth; physics of crystal growth, crystal morphology and orientation Walls |
Title | Existence and shapes of menisci in detached Bridgman growth |
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