中国物理B ›› 2004, Vol. 13 ›› Issue (12): 1982-1991.doi: 10.1088/1009-1963/13/12/002

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Effects of interface kinetics and anisotropy on the stability of the growing crystal face and dissolution face during crystallization from solution under microgravity

葛培文1, 俞育德1, 洪勇2, 朱振和3   

  1. (1)Institute of Physics, Chinese Academy of Sciences, Beijing 100080, China; (2)Institute of Physics, Chinese Academy of Sciences, Beijing 100080, China; Department of Chemistry, University of Science and Technology of Beijing, Beijing 100083, China; (3)Institute of Physics, Chinese Academy of Sciences, Beijing 100080, China; Department of Physics, Central University for Nationalities, Beijing 100081, China
  • 收稿日期:2003-09-07 修回日期:2004-07-13 出版日期:2004-12-17 发布日期:2005-03-17

Effects of interface kinetics and anisotropy on the stability of the growing crystal face and dissolution face during crystallization from solution under microgravity

Zhu Zhen-He (朱振和)ab, Hong Yong (洪勇)ac, Ge Pei-Wen (葛培文)a, Yu Yu-De (俞育德)a   

  1. a Institute of Physics, Chinese Academy of Sciences, Beijing 100080, China; b  Department of Physics, Central University for Nationalities, Beijing 100081, China; c Department of Chemistry, University of Science and Technology of Beijing, Beijing 100083, China
  • Received:2003-09-07 Revised:2004-07-13 Online:2004-12-17 Published:2005-03-17

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摘要： The stability of the shapes of the growing crystal face and dissolution face in a two-dimensional mathematical model of crystal growth from solution under microgravity is studied. Effects of the interface kinetics and anisotropy of crystallization and dissolution on the stability are also studied. It is proved that the stable shapes of crystal growth face and dissolution face do exist, which are of suitably shaped curves with their upper parts inclined backward properly no matter whether the interface kinetics and the anisotropy are taken into account or not. The stable shapes of the growing crystal faces and dissolution faces are calculated for various cases. The interface kinetics will make the inclination degree of stable crystal growth face reduce and that of stable dissolution face reduce slightly. The anisotropy of crystallization and dissolution may make the inclination degree of stable-growing crystal face smaller or larger, and that of the stable dissolution face varies very slightly.

关键词: Birkhoffian system, Hojman theorem, symmetry, differential geometry

Abstract: The stability of the shapes of the growing crystal face and dissolution face in a two-dimensional mathematical model of crystal growth from solution under microgravity is studied. Effects of the interface kinetics and anisotropy of crystallization and dissolution on the stability are also studied. It is proved that the stable shapes of crystal growth face and dissolution face do exist, which are of suitably shaped curves with their upper parts inclined backward properly no matter whether the interface kinetics and the anisotropy are taken into account or not. The stable shapes of the growing crystal faces and dissolution faces are calculated for various cases. The interface kinetics will make the inclination degree of stable crystal growth face reduce and that of stable dissolution face reduce slightly. The anisotropy of crystallization and dissolution may make the inclination degree of stable-growing crystal face smaller or larger, and that of the stable dissolution face varies very slightly.

Key words: microgravity conditions, growth from solution, interface, interface kinetics, crystallization anisotropy

中图分类号:  (Growth from solutions)

  • 81.10.Dn
81.10.Aj (Theory and models of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation)