Stacking fault structure in shear-induced colloidal crystallization.

We report measurements of the spatial distribution of stacking faults in colloidal crystals formed by means of an oscillatory shear field at a particle volume fraction of 52% in a system where the pair potential interactions are mildly repulsive. Stacking faults are directly visualized via confocal laser scanning microscopy. Consistent with previous scattering studies, shear orders the initially amorphous colloids into close-packed planes parallel to the shearing surface. Upon increasing the strain amplitude, the close-packed direction of the (111) crystal plane shifts from an orientation parallel to the vorticity direction to parallel the flow direction. The quality of the layer ordering, as characterized by the mean stacking parameter, decreases with strain amplitude. In addition, we directly observe the three-dimensional structure of stacking faults in sheared crystals. We observe and quantify spatial heterogeneity in the stacking fault arrangement in both the flow-vorticity plane and the gradient direction, particularly at high strain amplitudes (gamma> or =3). At these conditions, layer ordering persists in the flow-vorticity plane only over scales of approximately 5-10 particle diameters. This heterogeneity is one component of the random layer ordering deduced from previous scattering studies. In addition, in the gradient direction, the stacking registry shows that crystals with intermediate global mean stacking probability are comprised of short sequences of face-centered cubic and hexagonal close-packed layers with a stacking that includes a component that is nonrandom and alternating in character.

[1]  Vlasov,et al.  Manifestation of intrinsic defects in optical properties of self-organized opal photonic crystals , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  Wilson C. K. Poon,et al.  TOPICAL REVIEW: The physics of a model colloid-polymer mixture , 2002 .

[3]  I. Cohen,et al.  Shear-induced configurations of confined colloidal suspensions. , 2004, Physical review letters.

[4]  Priya Varadan,et al.  Direct Visualization of Long-Range Heterogeneous Structure in Dense Colloidal Gels , 2003 .

[5]  David G. Grier,et al.  Annealing thin colloidal crystals with optical gradient forces , 2001 .

[6]  J. Hoogenboom,et al.  Stacking faults in colloidal crystals grown by sedimentation , 2002 .

[7]  B. Ackerson,et al.  Shear-induced order in suspensions of hard spheres. , 1988, Physical review letters.

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

[9]  P. Pusey,et al.  Direct observation of oscillatory-shear-induced order in colloidal suspensions , 1998 .

[10]  A. Fujishima,et al.  New Mesostructured Porous TiO2 Surface Prepared Using a Two-Dimensional Array-Based Template of Silica Particles , 1998 .

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

[12]  B. Warren,et al.  X-Ray Diffraction , 2014 .

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

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

[15]  Large effect of polydispersity on defect concentrations in colloidal crystals. , 2004, The Journal of chemical physics.

[16]  A. Campbell,et al.  Fluorescent Hard-Sphere Polymer Colloids for Confocal Microscopy , 2002 .

[17]  G. G. Fuller,et al.  Scattering Dichroism Measurements of Flow-Induced Structure of a Shear Thickening Suspension , 1993 .

[18]  A. van Blaaderen,et al.  A new colloidal model system to study long-range interactions quantitatively in real space , 2003 .

[19]  T. Pangburn,et al.  Role of polydispersity in anomalous interactions in electrostatically levitated colloidal systems. , 2005, The Journal of chemical physics.

[20]  M. Solomon,et al.  Direct visualization of colloidal rod assembly by confocal microscopy. , 2005, Langmuir : the ACS journal of surfaces and colloids.

[21]  Confocal Optical Microscopy , 2005 .

[22]  P. R. Tapster,et al.  Fabrication of large-area face-centered-cubic hard-sphere colloidal crystals by shear alignment , 2000 .

[23]  A. Hiltner,et al.  Comparison of statistical and blocky copolymers of ethylene terephthalate and ethylene 4,4′‐bibenzoate based on thermal behavior and oxygen transport properties , 2003 .

[24]  H. Lekkerkerker,et al.  Insights into phase transition kinetics from colloid science , 2002, Nature.

[25]  B. Ackerson,et al.  Model calculations for the analysis of scattering data from layered structures , 1994 .

[26]  Yoshihisa Suzuki,et al.  Quick Fabrication of Gigantic Single-Crystalline Colloidal Crystals for Photonic Crystal Applications Optics and Quantum , 2001 .

[27]  W. Poon,et al.  Direct measurement of stacking disorder in hard-sphere colloidal crystals , 1997 .

[28]  J. Dhont,et al.  Preparation and characterization of crosslinked PMMA latex particles stabilized by grafted copolymer , 1997 .

[29]  P. Pusey,et al.  Structural aging of crystals of hard-sphere colloids. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  W. Kegel,et al.  ‘‘Aging’’ of the structure of crystals of hard colloidal spheres , 2000 .

[31]  W. Meyer,et al.  Colloidal hard-sphere crystallization kinetics in microgravity and normal gravity. , 2001, Applied optics.

[32]  Brendan O'Malley,et al.  Crystal nucleation in the hard sphere system. , 2003, Physical review letters.

[33]  STACKING ENTROPY OF HARD-SPHERE CRYSTALS , 1998, cond-mat/9810287.

[34]  P. Chaikin,et al.  Elastic properties of colloidal crystals and glasses , 1982 .

[35]  C. Zukoski,et al.  Rheological consequences of microstructural transitions in colloidal crystals , 1994 .

[36]  A. Modinos,et al.  Effect of stacking faults on the optical properties of inverted opals. , 2001, Physical review letters.

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

[38]  Chen,et al.  Structural changes and orientaional order in a sheared colloidal suspension. , 1992, Physical review letters.

[39]  Paul V. Braun,et al.  Tunable Inverse Opal Hydrogel pH Sensors , 2003 .

[40]  A. Gast,et al.  Simple Ordering in Complex Fluids , 1998 .

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

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

[43]  André Guinier,et al.  X-ray Crystallography. (Book Reviews: X-Ray Diffraction in Crystals, Imperfect Crystals, and Amorphous Bodies) , 1963 .

[44]  A comparative study of inverted-opal titania photonic crystals made from polymer and silica colloidal crystal templates , 2004 .

[45]  David A. Weitz,et al.  Visualization of Dislocation Dynamics in Colloidal Crystals , 2004, Science.

[46]  J. Vermant,et al.  Structure and rheology during shear-induced crystallization of a latex suspension. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[47]  Byoung Chul Kim,et al.  Preparation and properties of methyl methacrylate and fluoroacrylate copolymers for plastic optical fiber cladding , 2004 .

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

[49]  A. Blaaderen Colloids under External Control , 2004 .

[50]  J. Koenig Chemical microstructure of polymer chains , 1980 .

[51]  W. Meyer,et al.  Crystallization of hard-sphere colloids in microgravity , 1997, Nature.

[52]  E. Kumacheva,et al.  Colloid Crystal Growth under Oscillatory Shear , 2000 .

[53]  G. L. Liedl,et al.  Encyclopedia of Condensed Matter Physics , 2005 .

[54]  J. Vermant,et al.  Flow-induced structure in colloidal suspensions , 2005 .

[55]  Bruce J. Ackerson,et al.  Shear induced order and shear processing of model hard sphere suspensions , 1990 .