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Title: Close-packed block copolymer micelles induced by temperature quenching

Journal Article · · Proceedings of the National Academy of Sciences of the United States of America

Close-packed structures of uniformly sized spheres are ubiquitous across diverse material systems including elements, micelles, and colloidal assemblies. However, the controlled access to a specific symmetry of self-assembled close-packed spherical particles has not been well established. We investigated the ordering of spherical block copolymer micelles in aqueous solutions that was induced by rapid temperature changes referred to as quenching. As a function of quench depth, the quenched self-assembled block copolymer micelles formed three different close-packed structures: face-centered cubic (fcc), random stacking of hexagonal-close-packed layers (rhcp), and hexagonal-close-packed (hcp). The induced hcp and rhcp structures were stable for at least a few weeks when maintained at their quench temperatures, but heating or cooling these hcp and rhcp structures transformed both structures to fcc crystallites with coarsening of the crystal grains, which suggests that these noncubic close-packed structures are intermediate states. Time-resolved scattering experiments prove that the micellar rhcp structures do not originate from the rapid growth of competing close-packed structures. We speculate that the long-lived metastable hcp and rhcp structures originate from the small size of crystal grains, which introduces a nonnegligible Laplace pressure to the crystal domains. The reported transitions from the less stable hcp to the more stable rhcp and fcc are experimental observations of Ostwald’s rule manifesting the transition order of the key close-packed structures in the crystallization of close-packed uniform spheres.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0012704
OSTI ID:
1499538
Report Number(s):
BNL-209542-2018-JACI
Journal Information:
Proceedings of the National Academy of Sciences of the United States of America, Vol. 115, Issue 28; ISSN 0027-8424
Publisher:
National Academy of SciencesCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 17 works
Citation information provided by
Web of Science

References (35)

Prediction of absolute crystal-nucleation rate in hard-sphere colloids journal February 2001
Coexistence of rhcp and fcc phases in hard-sphere colloidal crystals journal December 2005
The Free-Energy Landscape of Clusters of Attractive Hard Spheres journal January 2010
Sphericity and symmetry breaking in the formation of Frank–Kasper phases from one component materials journal November 2014
Colloidal quasicrystals with 12-fold and 18-fold diffraction symmetry journal January 2011
Upper and lower critical solution temperatures in poly (ethylene glycol) solutions journal August 1976
Hexagonal Close Packing of Nonionic Surfactant Micelles in Water journal May 2007
Order causes secondary Bragg peaks in soft materials journal August 2007
Real-Space Imaging of Nucleation and Growth in Colloidal Crystallization journal April 2001
A 3-D Hexagonal Inverse Micellar Lyotropic Phase journal February 2009
Lyotropic Phase Behavior of Poly(ethylene oxide)−Poly(butadiene) Diblock Copolymers: Evolution of the Random Network Morphology journal May 2008
Interaction between Polymer-Grafted Particles journal June 2008
High-Resolution Small-Angle X-Ray Diffraction Study of Long-Range Order in Hard-Sphere Colloidal Crystals journal April 2002
Visualizing kinetic pathways of homogeneous nucleation in colloidal crystallization journal December 2013
Quantitative SAXS Analysis of the P123/Water/Ethanol Ternary Phase Diagram journal August 2006
Block copolymer micelles: Viscoelasticity and interaction potential of soft spheres journal July 1997
Martensitic fcc-to-hcp Transformation Observed in Xenon at High Pressure journal May 2001
Large Difference in the Elastic Properties of fcc and hcp Hard-Sphere Crystals journal June 2003
Insights into phase transition kinetics from colloid science journal April 2002
Hexagonal closest-packed spheres liquid crystalline phases stabilised by strongly hydrated counterions journal January 2014
Crystallization kinetics of repulsive colloidal spheres journal January 1999
Disorder-order transitions in soft sphere polymer micelles journal September 1993
Superlattice Formation in a Binary Mixture of Block Copolymer Micelles journal August 2006
The microscopic pathway to crystallization in supercooled liquids journal July 2012
Molecular Exchange in PEO−PB Micelles in Water journal January 2003
Electron Density Mapping of Triblock Copolymers Associated with Model Biomembranes: Insights into Conformational States and Effect on Bilayer Structure journal June 2008
Structural Polymorphism of Poly(ethylene oxide)−Poly(propylene oxide) Block Copolymers in Nonaqueous Polar Solvents journal October 1998
Synthesis and Characterization of Model Polyalkane−Poly(ethylene oxide) Block Copolymers journal January 1996
Stacking entropy of hard-sphere crystals journal April 1999
Epitaxial Transitions among FCC, HCP, BCC, and Cylinder Phases in a Block Copolymer Solution journal November 2004
Complex alloy structures regarded as sphere packings. I. Definitions and basic principles journal March 1958
Formation of a crystal nucleus from liquid journal July 2010
Crystallization Kinetics of Hard Spheres in Microgravity in the Coexistence Regime: Interactions between Growing Crystallites journal December 2001
Origin of the Thermoreversible fcc-bcc Transition in Block Copolymer Solutions journal April 2004
Studien über die Bildung und Umwandlung fester Körper journal January 1897

Cited By (2)

Engineering the crystallization behavior of an organic compound mixed with polymers using hidden liquid phase domains journal January 2020
Path-Dependent Preparation of Complex Micelle Packings of a Hydrated Diblock Oligomer journal February 2019