Contact angle of nucleation on the substrate of three mutually perpendicular planes

doi:10.7523/j.issn.2095-6134.2010.4.001

Abstract

Abstract:

This paper focuses on the discussion of the heterogeneous nucleation on the substrate of three mutually perpendicular planes. According to the condition of heterogeneous nucleation, we study the critical radius of nucleation and the critical nucleation energy to form a critical nucleus, and obtain a mathematical expression of critical nucleation energy and contact angle. The result shows that the critical nucleation energy is only relevant to the contact angle and that the contact angle plays an important role in heterogeneous nucleation. The discussion on contact angles of nucleation indicates that the critical nucleation energy of heterogeneous nucleation is smaller than that of spontaneous nucleation.

Key words: heterogeneous, contact angle, nucleation radius, nucleation energy

CLC Number:

HAO Xiao-Hui, GAO Sui-Xiang. Contact angle of nucleation on the substrate of three mutually perpendicular planes[J]. , 2010, 27(4): 433-439.

References

[1] Liao F C, Liu H P. Analytical solutions of three-dimension and two-dimension crystal growth equations
[J]. Acta Mathematicae Applicatae Sinica, 2006,29(2):193-209 (in Chinese). 廖福成,刘贺平. 三维与二维晶体生长控制方程的精确解
[J]. 应用数学学报, 2006,29(2):193-209.

[2] Wang J Y. Defect mechanism of crystal growth
[J]. Physics, 2001,30 (6):332-339 (in Chinese). 王继扬. 晶体生长的缺陷机制
[J]. 物理, 2001,30 (6):332-339.

[3] 蒋民华. 中国晶体生长和晶体材料50年
[J]. 功能材料信息, 2008,5 (4):11-16.

[4] Feng S H, Jia T X, Du H L, et al. The research development on the mechanisms of crystal growth
[J]. Non-Ferrous Mining and Metallurgy, 2004,20 (5):48-50 (in Chinese). 冯世宏,贾太轩,杜慧玲,等. 晶体生长机理的研究进展
[J]. 有色矿冶, 2004,20 (5):48-50.

[5] Li G H, Wang D W, Zhang S G, et al. The developing tendency towards the theory of crystal growth and interface-phase model
[J]. Advanced Ceramics, 2001,37 (1):13-18(in Chinese). 李国华,王大伟,张术根,等. 晶体生长理论的发展趋势与界面相模型
[J]. 现代技术陶瓷, 2001,37 (1):13-18.

[6] Yu X L. Present-day development of the mechanism research of crystal growth
[J]. Bulletin of National Natural Science Foundation of China, 2002, 16(4):215-218(in Chinese). 于锡玲. 晶体生长机理研究的最新进展
[J]. 中国科学基金,2002, 16(4):215-218.

[7] Tang RK. Progress in the studies of interfacial energy and kinetics of crystal growth/dissolution
[J]. Progress in Chemistry, 2005,17 (2):368-376 (in Chinese). 唐睿康. 表面能与晶体生长/溶解动力学研究的新动向
[J]. 化学进展, 2005,17 (2):368-376.

[8] 黄诚,宋波,毛璟红,等. 非均质形核润湿角数学模型研究
[J]. 中国科学E辑, 2004,34 (7):737-742.

[9] 胡汉起. 金属凝固原理
[M]. 北京:机械工业出版社, 2000.

[10] 余永宁. 材料科学基础
[M]. 北京:高等教育出版社, 2005.

[11] Perepezko J H. Kinetic processes in undercooled melts. Material Science and Engineering
[J]. 1997,A226-228:374-382.

[12] Quested T E, Greer A L. Athermal heterogeneous nucleation of solidification
[J]. Acta Materialia, 2005,53:2683-2692.

[13] Liu X Y. Effect of foreign particles: a comprehensive understanding of 3D heterogeneous nucleation
[J]. Journal of Crystal Growth, 2002, 237-239:1806-1812.

[14] Ma Q. Heterogeneous nucleation on potent spherical substrates during solidification
[J]. Acta Materialia, 2007, 55:943-953.

[15] Trivedi R. The role of heterogeneous nucleation on microstructure evolution in peritectic systems
[J]. Scripta Materialia,2005, 5:47-52.