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Title: Anatomy of triply-periodic network assemblies: characterizing skeletal and inter-domain surface geometry of block copolymer gyroids

Abstract

Triply-periodic networks (TPNs), like the well-known gyroid and diamond network phases, abound in soft matter assemblies, from block copolymers (BCPs), lyotropic liquid crystals and surfactants to functional architectures in biology. While TPNs are, in reality, volume-filling patterns of spatially-varying molecular composition, physical and structural models most often reduce their structure to lower-dimensional geometric objects: the 2D interfaces between chemical domains; and the 1D skeletons that thread through inter-connected, tubular domains. These lower-dimensional structures detail a useful basis of comparison to idealized geometries based on triply-periodic minimal, or constant-mean curvature surfaces, and shed important light on the spatially heterogeneous packing of molecular constituents that form the networks. In this research, we propose a simple, efficient and flexible method to extract a 1D skeleton from 3D volume composition data of self-assembled networks. We apply this method to both self-consistent field theory predictions as well as experimental electron microtomography reconstructions of the double-gyroid phase of an ABA triblock copolymer. We further demonstrate how the analysis of 1D skeleton, 2D inter-domain surfaces, and combinations therefore, provide physical and structural insight into TPNs, across multiple length scales. In particular, we propose and compare simple measures of network chirality as well as domain thickness, and analyzemore » their spatial and statistical distributions in both ideal (theoretical) and non-ideal (experimental) double gyroid assemblies.« less

Authors:
 [1];  [2];  [3];  [4]; ORCiD logo [5]
  1. Department of Chemical Engineering, University of Massachusetts, Amherst, USA
  2. Institute of Multidisciplinary Research for Advanced Materials (IMRAM), Tohoku University, Sendai, Japan
  3. Department of Chemical Engineering, National Tsing Hua University, Hsinchu 30013, Taiwan
  4. Department of Material Science and Nano Engineering, Rice University, Houston, USA
  5. Department of Polymer Science and Engineering, University of Massachusetts, Amherst, USA
Publication Date:
Research Org.:
Univ. of Massachusetts, Amherst, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1465220
Alternate Identifier(s):
OSTI ID: 1434353; OSTI ID: 1547012
Grant/Contract Number:  
Award No. DE-SC0014549; SC0014549
Resource Type:
Published Article
Journal Name:
Soft Matter
Additional Journal Information:
Journal Name: Soft Matter Journal Volume: 14 Journal Issue: 18; Journal ID: ISSN 1744-683X
Publisher:
Royal Society of Chemistry (RSC)
Country of Publication:
United Kingdom
Language:
English
Subject:
36 MATERIALS SCIENCE; 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; 42 ENGINEERING

Citation Formats

Prasad, Ishan, Jinnai, Hiroshi, Ho, Rong-Ming, Thomas, Edwin L., and Grason, Gregory M. Anatomy of triply-periodic network assemblies: characterizing skeletal and inter-domain surface geometry of block copolymer gyroids. United Kingdom: N. p., 2018. Web. doi:10.1039/C8SM00078F.
Prasad, Ishan, Jinnai, Hiroshi, Ho, Rong-Ming, Thomas, Edwin L., & Grason, Gregory M. Anatomy of triply-periodic network assemblies: characterizing skeletal and inter-domain surface geometry of block copolymer gyroids. United Kingdom. doi:10.1039/C8SM00078F.
Prasad, Ishan, Jinnai, Hiroshi, Ho, Rong-Ming, Thomas, Edwin L., and Grason, Gregory M. Mon . "Anatomy of triply-periodic network assemblies: characterizing skeletal and inter-domain surface geometry of block copolymer gyroids". United Kingdom. doi:10.1039/C8SM00078F.
@article{osti_1465220,
title = {Anatomy of triply-periodic network assemblies: characterizing skeletal and inter-domain surface geometry of block copolymer gyroids},
author = {Prasad, Ishan and Jinnai, Hiroshi and Ho, Rong-Ming and Thomas, Edwin L. and Grason, Gregory M.},
abstractNote = {Triply-periodic networks (TPNs), like the well-known gyroid and diamond network phases, abound in soft matter assemblies, from block copolymers (BCPs), lyotropic liquid crystals and surfactants to functional architectures in biology. While TPNs are, in reality, volume-filling patterns of spatially-varying molecular composition, physical and structural models most often reduce their structure to lower-dimensional geometric objects: the 2D interfaces between chemical domains; and the 1D skeletons that thread through inter-connected, tubular domains. These lower-dimensional structures detail a useful basis of comparison to idealized geometries based on triply-periodic minimal, or constant-mean curvature surfaces, and shed important light on the spatially heterogeneous packing of molecular constituents that form the networks. In this research, we propose a simple, efficient and flexible method to extract a 1D skeleton from 3D volume composition data of self-assembled networks. We apply this method to both self-consistent field theory predictions as well as experimental electron microtomography reconstructions of the double-gyroid phase of an ABA triblock copolymer. We further demonstrate how the analysis of 1D skeleton, 2D inter-domain surfaces, and combinations therefore, provide physical and structural insight into TPNs, across multiple length scales. In particular, we propose and compare simple measures of network chirality as well as domain thickness, and analyze their spatial and statistical distributions in both ideal (theoretical) and non-ideal (experimental) double gyroid assemblies.},
doi = {10.1039/C8SM00078F},
journal = {Soft Matter},
number = 18,
volume = 14,
place = {United Kingdom},
year = {2018},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1039/C8SM00078F

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Cited by: 4 works
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