Barriers to shape evolution of supported nano-crystallites
作者： M. Degawa , E.D. Williams
DOI: 10.1016/J.SUSC.2005.08.012
关键词: Dimensionless quantity 、 Nucleation 、 Chemistry 、 Surface energy 、 Thermodynamics 、 Surface diffusion 、 Thermodynamic equilibrium 、 Crystallite 、 Crystal 、 Metastability
摘要: Abstract Continuum solutions for supported crystallite shapes are combined with the continuum step model to yield a quantitative description of physically-allowed metastable states, including dependence on interfacial adhesion energy. Using layer-by-layer shape evolution, activation barriers transitions between states calculated. The results collapse universal scaled form and which barrier height decreases (increases) taller (shorter) than equilibrium structure. Following Rohrer Mullins [W.W. Mullins, G.S. Rohrer, Journal American Ceramic Society 83 (2000) 214; C.L. W.W. 84 (2001) 2099], we evaluate smallest crystal volume where energy is less 10kBT as function state family curves showing lowest accessible structure dimensionless different adhesions energies. Increasing correlates increasing at same volume. realistic parameters Pb, can only be reached by peeling volumes ⩽50 nm3, crystals ⩾106 nm3 will trapped in least favorable state.
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K Højrup Hansen, T Worren, Sascha Stempel, E Lægsgaard, Marcus Bäumer, H-J Freund, F Besenbacher, I Stensgaard, Palladium Nanocrystals on Al 2 O 3 : Structure and Adhesion Energy Physical Review Letters. ,vol. 83, pp. 4120- 4123 ,(1999) , 10.1103/PHYSREVLETT.83.4120
W.W. Mullins, Capillarity-Induced Surface Morphologies Interface Science. ,vol. 9, pp. 9- 20 ,(2001) , 10.1023/A:1011258510496
一郎 砂川, Morphology and growth unit of crystals Terra Scientific Pub.. ,(1989)
I. Lyubinetsky, S. Thevuthasan, D. E. McCready, D. R. Baer, Formation of single-phase oxide nanoclusters: Cu2O on SrTiO3(100) Journal of Applied Physics. ,vol. 94, pp. 7926- 7928 ,(2003) , 10.1063/1.1625779
Claude Godrèche, Solids far from equilibrium ,(1992)
Zheng Gai, Biao Wu, J. P. Pierce, G. A. Farnan, Dajun Shu, Mu Wang, Zhenyu Zhang, Jian Shen, Self-assembly of nanometer-scale magnetic dots with narrow size distributions on an insulating substrate. Physical Review Letters. ,vol. 89, pp. 235502- 235502 ,(2002) , 10.1103/PHYSREVLETT.89.235502
H.P. Bonzel, P. Wynblatt, K. Thürmer, J. Reutt-Robey, E.D. Williams, A. Emundts, Continuous and discontinuous transitions on 3D equilibrium crystal shapes : a new look at Pb and Au Surface Science. ,vol. 481, pp. 13- 24 ,(2001) , 10.1016/S0039-6028(01)01055-X
J. Tersoff, C. Teichert, M. G. Lagally, Self-organization in growth of quantum dot superlattices. Physical Review Letters. ,vol. 76, pp. 1675- 1678 ,(1996) , 10.1103/PHYSREVLETT.76.1675
William W. Mullins, Gregory S. Rohrer, Nucleation Barrier for Volume‐Conserving Shape Changes of Faceted Crystals Journal of the American Ceramic Society. ,vol. 83, pp. 214- 216 ,(2000) , 10.1111/J.1151-2916.2000.TB01173.X
V. L. Pokrovsky, A. L. Talapov, Ground State, Spectrum, and Phase Diagram of Two-Dimensional Incommensurate Crystals Physical Review Letters. ,vol. 42, pp. 65- 67 ,(1979) , 10.1103/PHYSREVLETT.42.65