Heterogeneous nucleation and crystal growth on curved surfaces observed by real-space imaging

We present a real-space imaging study of homogeneous and heterogeneous crystal nucleation and growth in colloidal suspensions of slightly charged and polydisperse particles. Heterogeneous crystallization is observed close to curved surfaces with radii of curvature, R, in the range from 4 to 40 particle diameters, d. Close to a curved surface, we find crystal nucleation and growth to be suppressed for R approximately < 10d. For R approximately > 15d, fast crystal growth is observed similar to that on a flat wall (R = ∞). We use the purely topological method of shortest path rings to determine the orientation of the crystal on the length scale of the nearest neighbor distance. Crystal nuclei forming close to a curved surface are oriented analogous to crystal growth on a flat wall with hexagonal planes parallel to the wall. While the smallest nuclei appear to be unaffected by the surface, larger nuclei are found to be suppressed for radii of curvature R approximately < 10d. The critical nucleus size in the vicinity of a curved surface is found to be about the same as for homogeneous nucleation.

[1]  Antti-Pekka Hynninen,et al.  Phase diagrams of hard-core repulsive Yukawa particles. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  James W. Goodwin,et al.  The preparation of poly(methyl methacrylate) latices in non-aqueous media , 1986 .

[3]  K. Kelton Crystal Nucleation in Liquids and Glasses , 1991 .

[4]  Dimo Kashchiev,et al.  Nucleation : basic theory with applications , 2000 .

[5]  D. Frenkel,et al.  Onset of heterogeneous crystal nucleation in colloidal suspensions , 2004, Nature.

[6]  I. Lyashenko,et al.  Statistical theory of the boundary friction of atomically flat solid surfaces in the presence of a lubricant layer , 2012 .

[7]  David Turnbull,et al.  Kinetics of Heterogeneous Nucleation , 1950 .

[8]  Daan Frenkel,et al.  Crystallization of weakly charged colloidal spheres: a numerical study , 2002 .

[9]  Daan Frenkel,et al.  Suppression of crystal nucleation in polydisperse colloids due to increase of the surface free energy , 2001, Nature.

[10]  G. Maret,et al.  Polycrystalline solidification in a quenched 2D colloidal system , 2008 .

[11]  U. Gasser,et al.  Noncentral forces in crystals of charged colloids. , 2007, Physical review letters.

[12]  P. Pusey,et al.  Phase behaviour of concentrated suspensions of nearly hard colloidal spheres , 1986, Nature.

[13]  S. Provencher A constrained regularization method for inverting data represented by linear algebraic or integral equations , 1982 .

[14]  U. Gasser,et al.  Local order in a supercooled colloidal fluid observed by confocal microscopy , 2002 .

[15]  L. V. Woodcock Entropy difference between the face-centred cubic and hexagonal close-packed crystal structures , 1997, Nature.

[16]  N. Fletcher Size Effect in Heterogeneous Nucleation , 1958 .

[17]  Bartlett,et al.  Structure of crystals of hard colloidal spheres. , 1989, Physical review letters.

[18]  M. J. Ruiz-Montero,et al.  Numerical evidence for bcc ordering at the surface of a critical fcc nucleus. , 1995, Physical review letters.

[19]  I. Snook,et al.  Structure of hard-sphere fluid and precursor structures to crystallization. , 2005, The Journal of chemical physics.

[20]  U. Gasser,et al.  Crystallization in three- and two-dimensional colloidal suspensions , 2009, Journal of physics. Condensed matter : an Institute of Physics journal.

[21]  Peter G. Bolhuis,et al.  Tracing the phase boundaries of hard spherocylinders , 1997 .

[22]  D. Frenkel,et al.  Can stacking faults in hard-sphere crystals anneal out spontaneously? , 1999 .

[23]  D. Frenkel,et al.  Line tension controls wall-induced crystal nucleation in hard-sphere colloids. , 2003, Physical review letters.

[24]  The contact angle of the colloidal liquid–gas interface and a hard wall , 2004, cond-mat/0405149.

[25]  Pieter Rein ten Wolde,et al.  Numerical calculation of the rate of crystal nucleation in a Lennard‐Jones system at moderate undercooling , 1996 .

[26]  Franzblau Ds,et al.  Computation of ring statistics for network models of solids. , 1991 .

[27]  H. Lekkerkerker,et al.  Preparation of monodisperse, fluorescent PMMA-latex colloids by dispersion polymerization. , 2002, Journal of colloid and interface science.

[28]  Franzblau Computation of ring statistics for network models of solids. , 1991, Physical review. B, Condensed matter.

[29]  M. Cates,et al.  Crystallization mechanism of hard sphere glasses. , 2011, Physical review letters.

[30]  Eric R. Weeks,et al.  Confocal microscopy of colloids , 2007 .

[31]  V. Prasad,et al.  Three-dimensional confocal microscopy of colloids. , 2001, Applied optics.

[32]  P. Steinhardt,et al.  Bond-orientational order in liquids and glasses , 1983 .

[33]  H. Schöpe,et al.  Heterogeneous and homogeneous crystal nucleation in a colloidal model system of charged spheres at low metastabilities , 2011 .

[34]  Andrew Schofield,et al.  Real-Space Imaging of Nucleation and Growth in Colloidal Crystallization , 2001, Science.

[35]  D. Frenkel,et al.  Breakdown of classical nucleation theory near isostructural phase transitions. , 2004, Physical review letters.

[36]  D. Grier,et al.  Methods of Digital Video Microscopy for Colloidal Studies , 1996 .

[37]  D. Frenkel,et al.  Prediction of absolute crystal-nucleation rate in hard-sphere colloids , 2001, Nature.

[38]  G. Bryant,et al.  Crystallization kinetics of polydisperse colloidal hard spheres: experimental evidence for local fractionation. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.