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Title: Dodecagonal quasicrystalline order in a diblock copolymer melt

Journal Article · · Proceedings of the National Academy of Sciences of the United States of America
 [1];  [2];  [1]
  1. Univ. of Minnesota, Minneapolis, MN (United States)
  2. Rensselaer Polytechnic Inst., Troy, NY (United States)

We report the discovery of a dodecagonal quasicrystalline state (DDQC) in a sphere (micelle) forming poly(isoprene-b-lactide) (IL) diblock copolymer melt, investigated as a function of time following rapid cooling from above the order–disorder transition temperature (TODT = 66 °C) using small-angle X-ray scattering (SAXS) measurements. Between TODT and the order–order transition temperature TOOT = 42 °C, an equilibrium body-centered cubic (BCC) structure forms, whereas below TOOT the Frank–Kasper σ phase is the stable morphology. At T < 40 °C the supercooled disordered state evolves into a metastable DDQC that transforms with time to the σ phase. The times required to form the DDQC and σ phases are strongly temperature dependent, requiring several hours and about 2 d at 35 °C and more than 10 and 200 d at 25 °C, respectively. Remarkably, the DDQC forms only from the supercooled disordered state, whereas the σ phase grows directly when the BCC phase is cooled below TOOT and vice versa upon heating. A transition in the rapidly supercooled disordered material, from an ergodic liquid-like arrangement of particles to a nonergodic soft glassy-like solid, occurs below ~40 °C, coincident with the temperature associated with the formation of the DDQC. We speculate that this stiffening reflects the development of particle clusters with local tetrahedral or icosahedral symmetry that seed growth of the temporally transient DDQC state. Here, this work highlights extraordinary opportunities to uncover the origins and stability of aperiodic order in condensed matter using model block polymers.

Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division; National Science Foundation (NSF)
Grant/Contract Number:
AC02-06CH11357; 1104368
OSTI ID:
1256354
Journal Information:
Proceedings of the National Academy of Sciences of the United States of America, Vol. 113, Issue 19; ISSN 0027-8424
Publisher:
National Academy of SciencesCopyright Statement
Country of Publication:
United States
Language:
ENGLISH
Citation Metrics:
Cited by: 128 works
Citation information provided by
Web of Science

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Origins of low-symmetry phases in asymmetric diblock copolymer melts journal January 2018
Stability of icosahedral quasicrystals in a simple model with two-length scales journal February 2017
Which Wave Numbers Determine the Thermodynamic Stability of Soft Matter Quasicrystals? journal October 2019
Conformational Asymmetry and Quasicrystal Approximants in Linear Diblock Copolymers journal May 2017
An Exceptionally Stable and Scalable Sugar–Polyolefin Frank–Kasper A15 Phase journal January 2020
Frank-Kasper and related quasicrystal spherical phases in macromolecules journal December 2017
Rapid One-Step Synthesis of Complex-Architecture Block Polymers Using Inductively “Armed-Disarmed” Monomer Pairs journal March 2018
Soft self-assembled sub-5 nm scale chessboard and snub-square tilings with oligo( para -phenyleneethynylene) rods journal January 2019
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Controlling the Periodically Ordered Nanostructures in Ceramics: A Macromolecule‐Guided Strategy journal November 2019
Small‐Molecule Modulation of Soft‐Matter Frank–Kasper Phases: A Method for Adding Function to Form journal January 2020
Encoding biological recognition in a bicomponent cell-membrane mimic journal February 2019
Role of Chain Length in the Formation of Frank-Kasper Phases in Diblock Copolymers journal November 2018
The Solution of the Puzzle of Smectic-Q: The Phase Structure and the Origin of Spontaneous Chirality journal January 2018
Geometry induced sequence of nanoscale Frank–Kasper and quasicrystal mesophases in giant surfactants journal November 2016
Hierarchical complex self-assembly in binary nanoparticle mixtures journal August 2019
Regioisomeric Tandem Triblock Shape Amphiphiles Based on Polyhedral Oligomeric Silsesquioxanes journal June 2018
Thermal processing of diblock copolymer melts mimics metallurgy journal May 2017
Formation pathways of mesoporous silica nanoparticles with dodecagonal tiling journal August 2017
The Solution of the Puzzle of Smectic-Q: The Phase Structure and the Origin of Spontaneous Chirality journal January 2018
Breaking Parallel Orientation of Rods via a Dendritic Architecture toward Diverse Supramolecular Structures journal July 2019
An Exceptionally Stable and Scalable Sugar–Polyolefin Frank–Kasper A15 Phase journal December 2019
Identification of a Frank–Kasper Z phase from shape amphiphile self-assembly journal September 2019
Four-Phase Morphologies in Blends of ABC and BAC Triblock Terpolymers journal July 2017
Which wavenumbers determine the thermodynamic stability of soft matter quasicrystals? text January 2019
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