Block Copolymers beneath the Surface: Measuring and Modeling Complex Morphology at the Subdomain Scale

Reddy, Abhiram; Feng, Xueyan; Thomas, Edwin L.; Grason, Gregory M.

doi:10.1021/acs.macromol.1c00958

Title: Block Copolymers beneath the Surface: Measuring and Modeling Complex Morphology at the Subdomain Scale

Journal Article · 29 August 2021 · Macromolecules

DOI: https://doi.org/10.1021/acs.macromol.1c00958 · OSTI ID:1817808

Reddy, Abhiram ^[1]; Feng, Xueyan ^[2]; Thomas, Edwin L. ^[2];

^[1]

Department of Polymer Science and Engineering, University of Massachusetts Amherst, Amherst, Massachusetts 01003, United States
Department of Materials Science and Engineering, Texas A&M University, College Station, Texas 77843, United States

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Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0014599

OSTI ID:: 1817808

Journal Information:: Macromolecules, Journal Name: Macromolecules Journal Issue: 20 Vol. 54; ISSN 0024-9297

Publisher:: American Chemical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (160)

Nanotechnology with Soft Materials Hamley, I. W. Angewandte Chemie International Edition, Vol. 42, Issue 15, p. 1692-1712 https://doi.org/10.1002/anie.200200546	journal	April 2003
The Formation of OTDD Network Structure in PS- b -PI- b -PDMS Triblock Terpolymer Wang, Yi-Chin; Inoue, Ayano; Hasegawa, Hirokazu Macromolecular Chemistry and Physics, Vol. 218, Issue 12 https://doi.org/10.1002/macp.201700008	journal	May 2017
Highly Ordered Structure Formation in RAFT-Synthesized PtBOS- b -P4VP Diblock Copolymers Faber, Martin; Hofman, Anton H.; Loos, Katja Macromolecular Rapid Communications, Vol. 37, Issue 11 https://doi.org/10.1002/marc.201600052	journal	April 2016
Frank–Kasper Phases Identified in PDMS‐ b ‐PTFEA Copolymers with High Conformational Asymmetry Jeon, Seungbae; Jun, Taesuk; Jo, Seongjun Macromolecular Rapid Communications, Vol. 40, Issue 19 https://doi.org/10.1002/marc.201900259	journal	July 2019
Osmium tetroxide fixation of rubber latices Kato, Koichi Journal of Polymer Science Part B: Polymer Letters, Vol. 4, Issue 1 https://doi.org/10.1002/pol.1966.110040107	journal	January 1966
Ordered structures of styrene–butadiene block copolymers Vanzo, Ed Journal of Polymer Science Part A-1: Polymer Chemistry, Vol. 4, Issue 7 https://doi.org/10.1002/pol.1966.150040707	journal	July 1966
Ordered structures of styrene–butadiene block copolymers in the solid state Bradford, E. B.; Vanzo, E. Journal of Polymer Science Part A-1: Polymer Chemistry, Vol. 6, Issue 6 https://doi.org/10.1002/pol.1968.150060624	journal	June 1968
A mesoscopic Archimedean tiling having a new complexity in an ABC star polymer Takano, A.; Kawashima, W.; Noro, A. Journal of Polymer Science Part B: Polymer Physics, Vol. 43, Issue 18 https://doi.org/10.1002/polb.20537	journal	January 2005
Theory of block copolymers. I. Domain formation in A-B block copolymers: THEORYOFBLOCKCOPOLYMERS. I Meier, D. J. Journal of Polymer Science Part C: Polymer Symposia, Vol. 26, Issue 1 https://doi.org/10.1002/polc.5070260106	journal	January 1969
Controlling Self-Assembly in Gyroid Terpolymer Films By Solvent Vapor Annealing Dolan, James A.; Korzeb, Karolina; Dehmel, Raphael Small, Vol. 14, Issue 46 https://doi.org/10.1002/smll.201802401	journal	September 2018
On Gyroid Interfaces Grosse-Brauckmann, Karsten Journal of Colloid and Interface Science, Vol. 187, Issue 2 https://doi.org/10.1006/jcis.1996.4720	journal	March 1997
Electron Tomography Frank, Joachim Springer New York, NY https://doi.org/10.1007/978-1-4757-2163-8	book	January 1992
Strukturuntersuchungen an Styrol-Butadien-Styrol-Blockcopolymeren Hendus, H.; Illers, K. -H.; Ropte, E. Kolloid-Zeitschrift & Zeitschrift für Polymere, Vol. 216-217, Issue 1 https://doi.org/10.1007/BF01525075	journal	March 1967
Biological shape and visual science (part I) Blum, Harry Journal of Theoretical Biology, Vol. 38, Issue 2 https://doi.org/10.1016/0022-5193(73)90175-6	journal	February 1973
Fine structures and physical properties of styrene-butadiene block copolymers Matsuo, Masato; Ueno, Taku; Horino, Hiroshi Polymer, Vol. 9 https://doi.org/10.1016/0032-3861(68)90052-9	journal	January 1968
Fine structures of styrene-butadiene block copolymer films cast from toluene solution Matsuo, Masato; Sagae, Shizue; Asai, Harumi Polymer, Vol. 10 https://doi.org/10.1016/0032-3861(69)90010-X	journal	January 1969
Three-dimensional study of cylindrical morphology in a styrene-butadiene-styrene block copolymer Spontak, Richard J.; Williams, Michael C.; Agard, David A. Polymer, Vol. 29, Issue 3 https://doi.org/10.1016/0032-3861(88)90354-0	journal	March 1988
Curvature relations in three-dimensional symmetric axes Nackman, Lee R. Computer Graphics and Image Processing, Vol. 20, Issue 1 https://doi.org/10.1016/0146-664X(82)90072-7	journal	September 1982
Polytetrahedral Order in Condensed Matter Nelson, David R.; Spaepen, Frans Solid State Physics https://doi.org/10.1016/S0081-1947(08)60079-X	book	January 1989
Avatars of the gyroid Schick, M. Physica A: Statistical Mechanics and its Applications, Vol. 251, Issue 1-2 https://doi.org/10.1016/S0378-4371(97)00590-6	journal	March 1998
Formation of complex spherical packing phases in diblock copolymer/homopolymer blends Xie, Jiayu; Shi, An-Chang Giant, Vol. 5 https://doi.org/10.1016/j.giant.2020.100043	journal	March 2021
The packing of soft materials: Molecular asymmetry, geometric frustration and optimal lattices in block copolymer melts Grason, G. Physics Reports, Vol. 433, Issue 1 https://doi.org/10.1016/j.physrep.2006.08.001	journal	October 2006
Topological defects in tubular network block copolymers Feng, Xueyan; Guo, Hua; Thomas, Edwin L. Polymer, Vol. 168 https://doi.org/10.1016/j.polymer.2019.01.085	journal	April 2019
Polydispersity and block copolymer self-assembly Lynd, Nathaniel A.; Meuler, Adam J.; Hillmyer, Marc A. Progress in Polymer Science, Vol. 33, Issue 9 https://doi.org/10.1016/j.progpolymsci.2008.07.003	journal	September 2008
The role of architectural engineering in macromolecular self-assemblies via non-covalent interactions: A molecular LEGO approach Su, Zebin; Zhang, Ruimeng; Yan, Xiao-Yun Progress in Polymer Science, Vol. 103 https://doi.org/10.1016/j.progpolymsci.2020.101230	journal	April 2020
Frank-Kasper A15 Phase Formed in AB _n Block-Graft Copolymers with Large Numbers of Graft Chains Watanabe, Momoka; Asai, Yusuke; Suzuki, Jiro Macromolecules, Vol. 53, Issue 22 https://doi.org/10.1021/acs.macromol.0c01097	journal	November 2020
Broadly Accessible Self-Consistent Field Theory for Block Polymer Materials Discovery Arora, Akash; Qin, Jian; Morse, David C. Macromolecules, Vol. 49, Issue 13 https://doi.org/10.1021/acs.macromol.6b00107	journal	June 2016
50th Anniversary Perspective : Block Polymers—Pure Potential Bates, Christopher M.; Bates, Frank S. Macromolecules, Vol. 50, Issue 1 https://doi.org/10.1021/acs.macromol.6b02355	journal	December 2016
50th Anniversary Perspective : Polymers with Complex Architectures Polymeropoulos, George; Zapsas, George; Ntetsikas, Konstantinos Macromolecules, Vol. 50, Issue 4 https://doi.org/10.1021/acs.macromol.6b02569	journal	February 2017
Bicontinuous Double-Diamond Structures Formed in Ternary Blends of AB Diblock Copolymers with Block Chains of Different Lengths Takagi, Wataru; Suzuki, Jiro; Aoyama, Yoshitaka Macromolecules, Vol. 52, Issue 17 https://doi.org/10.1021/acs.macromol.9b00724	journal	August 2019
Block Copolymers: Long-Term Growth with Added Value Lodge, Timothy P. Macromolecules, Vol. 53, Issue 1 https://doi.org/10.1021/acs.macromol.9b02069	journal	January 2020
Path-Dependent Preparation of Complex Micelle Packings of a Hydrated Diblock Oligomer Jayaraman, Ashish; Zhang, Diana Y.; Dewing, Beth L. ACS Central Science, Vol. 5, Issue 4 https://doi.org/10.1021/acscentsci.8b00903	journal	February 2019
Synthesis and Self-Assembly of AB _n Miktoarm Star Polymers Bates, Morgan W.; Barbon, Stephanie M.; Levi, Adam E. ACS Macro Letters, Vol. 9, Issue 3 https://doi.org/10.1021/acsmacrolett.0c00061	journal	February 2020
Emergence of a C15 Laves Phase in Diblock Polymer/Homopolymer Blends Mueller, Andreas J.; Lindsay, Aaron P.; Jayaraman, Ashish ACS Macro Letters, Vol. 9, Issue 4 https://doi.org/10.1021/acsmacrolett.0c00124	journal	March 2020
POLYMERIZATION INITIATED BY ELECTRON TRANSFER TO MONOMER. A NEW METHOD OF FORMATION OF BLOCK POLYMERS ¹ Szwarc, M.; Levy, M.; Milkovich, R. Journal of the American Chemical Society, Vol. 78, Issue 11 https://doi.org/10.1021/ja01592a101	journal	June 1956
Rational Design of the First Spherical Supramolecular Dendrimers Self-Organized in a Novel Thermotropic Cubic Liquid-Crystalline Phase and the Determination of Their Shape by X-ray Analysis Balagurusamy, V. S. K.; Ungar, G.; Percec, V. Journal of the American Chemical Society, Vol. 119, Issue 7 https://doi.org/10.1021/ja963295i	journal	February 1997
Maximizing Entropy by Minimizing Area: Towards a New Principle of Self-Organization Ziherl, P.; Kamien, Randall D. The Journal of Physical Chemistry B, Vol. 105, Issue 42 https://doi.org/10.1021/jp010944q	journal	October 2001
Phase Behavior of a Block Copolymer in Solvents of Varying Selectivity Hanley, Kenneth J.; Lodge, Timothy P.; Huang, Ching-I Macromolecules, Vol. 33, Issue 16 https://doi.org/10.1021/ma000318b	journal	August 2000
Noncircular Wigner-Seitz cells in strongly segregated block copolymers Fredrickson, Glenn H. Macromolecules, Vol. 26, Issue 16 https://doi.org/10.1021/ma00068a043	journal	August 1993
Chain Architecture and Asymmetry in Copolymer Microphases Milner, Scott T. Macromolecules, Vol. 27, Issue 8 https://doi.org/10.1021/ma00086a057	journal	April 1994
Stability of the OBDD Structure for Diblock Copolymer Melts in the Strong Segregation Limit Likhtman, Alexey E.; Semenov, Alexander N. Macromolecules, Vol. 27, Issue 11 https://doi.org/10.1021/ma00089a030	journal	May 1994
The Gyroid: A New Equilibrium Morphology in Weakly Segregated Diblock Copolymers Hajduk, Damian A.; Harper, Paul E.; Gruner, Sol M. Macromolecules, Vol. 27, Issue 15 https://doi.org/10.1021/ma00093a006	journal	July 1994
Block Copolymer Mixtures As Revealed By Neutron Reflectivity Mayes, A. M.; Russell, T. P.; Deline, V. R. Macromolecules, Vol. 27, Issue 25 https://doi.org/10.1021/ma00103a030	journal	December 1994
A Reevaluation of Bicontinuous Cubic Phases in Starblock Copolymers Hajduk, Damian A.; Harper, Paul E.; Gruner, Sol M. Macromolecules, Vol. 28, Issue 7 https://doi.org/10.1021/ma00111a061	journal	March 1995
Phase Behavior of Block Copolymer/Homopolymer Blends Matsen, M. W. Macromolecules, Vol. 28, Issue 17 https://doi.org/10.1021/ma00121a011	journal	August 1995
Effect of arm number and arm molecular weight on the solid-state morphology of poly(styrene-isoprene) star block copolymers Alward, David B.; Kinning, David J.; Thomas, Edward L. Macromolecules, Vol. 19, Issue 1 https://doi.org/10.1021/ma00155a034	journal	January 1986
Sharpness of the functionality-induced structural transition in poly(styrene-isoprene) star block copolymers Kinning, David J.; Thomas, Edwin L.; Alward, David B. Macromolecules, Vol. 19, Issue 4 https://doi.org/10.1021/ma00158a067	journal	April 1986
Ordered bicontinuous double-diamond structure of star block copolymers: a new equilibrium microdomain morphology Thomas, Edwin L.; Alward, David B.; Kinning, David J. Macromolecules, Vol. 19, Issue 8 https://doi.org/10.1021/ma00162a016	journal	August 1986
Equilibrium morphology of block copolymer melts Ohta, Takao; Kawasaki, Kyozi Macromolecules, Vol. 19, Issue 10 https://doi.org/10.1021/ma00164a028	journal	October 1986
Ordered packing arrangements of spherical micelles of diblock copolymers in two and three dimensions Thomas, Edwin L.; Kinning, David J.; Alward, David B. Macromolecules, Vol. 20, Issue 11 https://doi.org/10.1021/ma00177a049	journal	November 1987
Theory of the grafted polymer brush Milner, S. T.; Witten, T. A.; Cates, M. E. Macromolecules, Vol. 21, Issue 8 https://doi.org/10.1021/ma00186a051	journal	August 1988
Effects of polydispersity in the end-grafted polymer brush Milner, S. T.; Witten, T. A.; Cates, M. E. Macromolecules, Vol. 22, Issue 2 https://doi.org/10.1021/ma00192a057	journal	March 1989
Triply Periodic Bicontinuous Cubic Microdomain Morphologies by Symmetries Wohlgemuth, Meinhard; Yufa, Nataliya; Hoffman, James Macromolecules, Vol. 34, Issue 17 https://doi.org/10.1021/ma0019499	journal	August 2001
Stress relaxation in the lamellar copolymer mesophase Witten, T. A.; Leibler, L.; Pincus, P. A. Macromolecules, Vol. 23, Issue 3 https://doi.org/10.1021/ma00205a022	journal	February 1990
Polydispersity effects on the microphase-separation transition in block copolymers Burger, C.; Ruland, W.; Semenov, A. N. Macromolecules, Vol. 23, Issue 13 https://doi.org/10.1021/ma00215a021	journal	June 1990
Molecular weight dependence of lamellar domain spacing of diblock copolymers in bulk Matsushita, Yushu; Mori, Katsuaki; Saguchi, Ryuichi Macromolecules, Vol. 23, Issue 19 https://doi.org/10.1021/ma00221a019	journal	September 1990
Chain conformation of a block polymer in a microphase-separated structure Matsushita, Yushu; Mori, Katsuaki; Mogi, Yasuhiro Macromolecules, Vol. 23, Issue 19 https://doi.org/10.1021/ma00221a020	journal	September 1990
Ordered structure in mixtures of a block copolymer and homopolymers. 2. Effects of molecular weights of homopolymers Hashimoto, Takeji; Tanaka, Hideaki; Hasegawa, Hirokazu Macromolecules, Vol. 23, Issue 20 https://doi.org/10.1021/ma00222a009	journal	October 1990
Flexible/Branched Block Copolymer Melts Pickett, Galen T. Macromolecules, Vol. 35, Issue 5 https://doi.org/10.1021/ma011532i	journal	February 2002
Interfaces in Diblocks: A Study of Miktoarm Star Copolymers Grason, Gregory M.; Kamien, Randall D. Macromolecules, Vol. 37, Issue 19 https://doi.org/10.1021/ma049255d	journal	September 2004
Effect of Molecular Weight Distribution on Microphase-Separated Structures from Block Copolymers Noro, Atsushi; Cho, Donghyun; Takano, Atsushi Macromolecules, Vol. 38, Issue 10 https://doi.org/10.1021/ma050040t	journal	May 2005
Stability of the Gyroid Phase in Diblock Copolymers at Strong Segregation Cochran, Eric W.; Garcia-Cervera, Carlos J.; Fredrickson, Glenn H. Macromolecules, Vol. 39, Issue 7 https://doi.org/10.1021/ma0527707	journal	April 2006
Effects of Polydispersity on Phase Behavior of Diblock Copolymers Cooke, David M.; Shi, An-Chang Macromolecules, Vol. 39, Issue 19 https://doi.org/10.1021/ma060717s	journal	September 2006
SCFT Study of Nonfrustrated ABC Triblock Copolymer Melts Tyler, Christopher A.; Qin, Jian; Bates, Frank S. Macromolecules, Vol. 40, Issue 13 https://doi.org/10.1021/ma062778w	journal	June 2007
Effects of Polydispersity on the Order−Disorder Transition in Block Copolymer Melts Lynd, Nathaniel A.; Hillmyer, Marc A. Macromolecules, Vol. 40, Issue 22 https://doi.org/10.1021/ma070962r	journal	October 2007
A Re-Evaluation of the Morphology of a Bicontinuous Block Copolymer−Ceramic Material Toombes, Gilman E. S.; Finnefrock, Adam C.; Tate, Mark W. Macromolecules, Vol. 40, Issue 25 https://doi.org/10.1021/ma0715369	journal	December 2007
Effect of Architecture on the Phase Behavior of AB-Type Block Copolymer Melts Matsen, M. W. Macromolecules, Vol. 45, Issue 4 https://doi.org/10.1021/ma202782s	journal	February 2012
Molecular Nanoparticles Are Unique Elements for Macromolecular Science: From “Nanoatoms” to Giant Molecules Zhang, Wen-Bin; Yu, Xinfei; Wang, Chien-Lung Macromolecules, Vol. 47, Issue 4 https://doi.org/10.1021/ma401724p	journal	January 2014
Block Copolymer Lithography Bates, Christopher M.; Maher, Michael J.; Janes, Dustin W. Macromolecules, Vol. 47, Issue 1, p. 2-12 https://doi.org/10.1021/ma401762n	journal	November 2013
The Tricontinuous 3 ths (5) Phase: A New Morphology in Copolymer Melts Fischer, Michael G.; de Campo, Liliana; Kirkensgaard, Jacob J. K. Macromolecules, Vol. 47, Issue 21 https://doi.org/10.1021/ma5016352	journal	October 2014
Block Copolymer Theory. III. Statistical Mechanics of the Microdomain Structure Helfand, Eugene Macromolecules, Vol. 8, Issue 4 https://doi.org/10.1021/ma60046a032	journal	July 1975
Block Copolymer Theory. 5. Spherical Domains Helfand, Eugene; Wasserman, Z. R. Macromolecules, Vol. 11, Issue 5 https://doi.org/10.1021/ma60065a023	journal	September 1978
Theory of Microphase Separation in Block Copolymers Leibler, Ludwik Macromolecules, Vol. 13, Issue 6 https://doi.org/10.1021/ma60078a047	journal	November 1980
Theory of Polydisperse Block Copolymer Melts: Beyond the Schulz−Zimm Distribution Lynd, Nathaniel A.; Hillmyer, Marc A.; Matsen, Mark W. Macromolecules, Vol. 41, Issue 12 https://doi.org/10.1021/ma800452y	journal	May 2008
The Plumber’s Nightmare Phase in Diblock Copolymer/Homopolymer Blends. A Self-Consistent Field Theory Study. Martinez-Veracoechea, Francisco J.; Escobedo, Fernando A. Macromolecules, Vol. 42, Issue 22 https://doi.org/10.1021/ma901591r	journal	September 2009
Transmission Electron Microtomography and Polymer Nanostructures Jinnai, Hiroshi; Spontak, Richard J.; Nishi, Toshio Macromolecules, Vol. 43, Issue 4 https://doi.org/10.1021/ma902035p	journal	February 2010
Phase Behavior of Ordered Diblock Copolymer Blends: Effect of Compositional Heterogeneity Spontak, Richard J.; Fung, Jennifer C.; Braunfeld, Michael B. Macromolecules, Vol. 29, Issue 13 https://doi.org/10.1021/ma9515689	journal	January 1996
Morphologies of Microphase-Separated A ₂ B Simple Graft Copolymers Pochan, Darrin J.; Gido, Samuel P.; Pispas, Stergios Macromolecules, Vol. 29, Issue 15 https://doi.org/10.1021/ma951696x	journal	January 1996
Synthesis, Characterization, and Morphology of Model Graft Copolymers with Trifunctional Branch Points Gido, Samuel P.; Lee, Chin; Pochan, Darrin J. Macromolecules, Vol. 29, Issue 22 https://doi.org/10.1021/ma960715f	journal	January 1996
Origins of Complex Self-Assembly in Block Copolymers Matsen, M. W.; Bates, F. S. Macromolecules, Vol. 29, Issue 23 https://doi.org/10.1021/ma960744q	journal	January 1996
Theory of Microphase Separation in Block Copolymer/Homopolymer Mixtures Likhtman, A. E.; Semenov, A. N. Macromolecules, Vol. 30, Issue 23 https://doi.org/10.1021/ma9702713	journal	November 1997
Interfacial Curvature in Graft and Diblock Copolymers and Implications for Long-Range Order in Cylindrical Morphologies Gido, Samuel P.; Wang, Zhen-Gang Macromolecules, Vol. 30, Issue 22 https://doi.org/10.1021/ma9703564	journal	November 1997
Corrections to Strong-Stretching Theories Goveas, J. L.; Milner, S. T.; Russel, W. B. Macromolecules, Vol. 30, Issue 18 https://doi.org/10.1021/ma970377y	journal	September 1997
Microstructural Analysis of a Cubic Bicontinuous Morphology in a Neat SIS Triblock Copolymer Laurer, Jonathan H.; Hajduk, Damian A.; Fung, Jennifer C. Macromolecules, Vol. 30, Issue 13 https://doi.org/10.1021/ma970449l	journal	June 1997
Morphology of Symmetric ABC Triblock Copolymers in the Strong Segregation Limit Phan, S.; Fredrickson, G. H. Macromolecules, Vol. 31, Issue 1 https://doi.org/10.1021/ma971046o	journal	January 1998
Strong Segregation Theory of Bicontinuous Phases in Block Copolymers Olmsted, Peter D.; Milner, Scott T. Macromolecules, Vol. 31, Issue 12 https://doi.org/10.1021/ma980043o	journal	June 1998
σ Phase Formed in Conformationally Asymmetric AB-Type Block Copolymers Xie, Nan; Li, Weihua; Qiu, Feng ACS Macro Letters, Vol. 3, Issue 9 https://doi.org/10.1021/mz500445v	journal	August 2014
Nanoporous Membranes Derived from Block Copolymers: From Drug Delivery to Water Filtration Jackson, Elizabeth A.; Hillmyer, Marc A. ACS Nano, Vol. 4, Issue 7 https://doi.org/10.1021/nn1014006	journal	June 2010
A bicontinuous tetrahedral structure in a liquid-crystalline lipid Longley, William; McIntosh, Thomas J. Nature, Vol. 303, Issue 5918 https://doi.org/10.1038/303612a0	journal	June 1983
Periodic area-minimizing surfaces in block copolymers Thomas, Edwin L.; Anderson, David M.; Henkee, Chris S. Nature, Vol. 334, Issue 6183 https://doi.org/10.1038/334598a0	journal	August 1988
Epitaxial self-assembly of block copolymers on lithographically defined nanopatterned substrates Ouk Kim, Sang; Solak, Harun H.; Stoykovich, Mark P. Nature, Vol. 424, Issue 6947, p. 411-414 https://doi.org/10.1038/nature01775	journal	July 2003
Supramolecular dendritic liquid quasicrystals Zeng, Xiangbing; Ungar, Goran; Liu, Yongsong Nature, Vol. 428, Issue 6979 https://doi.org/10.1038/nature02368	journal	March 2004
Photonic Floquet topological insulators Rechtsman, Mikael C.; Zeuner, Julia M.; Plotnik, Yonatan Nature, Vol. 496, Issue 7444 https://doi.org/10.1038/nature12066	journal	April 2013
Weyl points and line nodes in gyroid photonic crystals Lu, Ling; Fu, Liang; Joannopoulos, John D. Nature Photonics, Vol. 7, Issue 4 https://doi.org/10.1038/nphoton.2013.42	journal	March 2013
A cornerstone of complex crystals Reddy, Abhiram; Grason, Gregory M. Nature Chemistry, Vol. 11, Issue 10 https://doi.org/10.1038/s41557-019-0333-7	journal	September 2019
Seeing mesoatomic distortions in soft-matter crystals of a double-gyroid block copolymer Feng, Xueyan; Burke, Christopher J.; Zhuo, Mujin Nature, Vol. 575, Issue 7781 https://doi.org/10.1038/s41586-019-1706-1	journal	October 2019
Real-space evidence of the equilibrium ordered bicontinuous double diamond structure of a diblock copolymer Chu, C. Y.; Jiang, X.; Jinnai, H. Soft Matter, Vol. 11, Issue 10 https://doi.org/10.1039/C4SM02608J	journal	January 2015
Anatomy of triply-periodic network assemblies: characterizing skeletal and inter-domain surface geometry of block copolymer gyroids Prasad, Ishan; Jinnai, Hiroshi; Ho, Rong-Ming Soft Matter, Vol. 14, Issue 18 https://doi.org/10.1039/C8SM00078F	journal	January 2018
Generation dependent mesophase behavior in extended amphiphilic dendrons in the shape of macromolecular dumbbells ChoCurrent address: Department of C., Byoung-Ki; Jain, Anurag; Gruner, Sol M. Chemical Communications, Issue 16 https://doi.org/10.1039/b500610d	journal	January 2005
Directed self-assembly of block copolymers: a tutorial review of strategies for enabling nanotechnology with soft matter Hu, Hanqiong; Gopinadhan, Manesh; Osuji, Chinedum O. Soft Matter, Vol. 10, Issue 22 https://doi.org/10.1039/c3sm52607k	journal	January 2014
Block polymers of ethylene oxide and its analogues with styrene Richards, D. H.; Szwarc, M. Transactions of the Faraday Society, Vol. 55 https://doi.org/10.1039/tf9595501644	journal	January 1959
N° 58. — La structure des colloïdes d’association. VII. Caractère amphipatique et phases mésomorphes des copolymères séquences styrolène — Oxyde d’éthylène Skoulios, Antoine; Finaz, Gilles Journal de Chimie Physique, Vol. 59 https://doi.org/10.1051/jcp/1962590473	journal	January 1962
La structure des colloïdes d’association: IX. — Caractère amphipathique et phases mésomorphes des copolymères séquencés oxyde de propylène = oxyde d’éthylène. Tsouladze, Guy; Skoulios, Antoine Journal de Chimie Physique, Vol. 60 https://doi.org/10.1051/jcp/1963600626	journal	January 1963
Continuous polydispersity in a self-consistent field theory for diblock copolymers Sides, Scott W.; Fredrickson, Glenn H. The Journal of Chemical Physics, Vol. 121, Issue 10 https://doi.org/10.1063/1.1776557	journal	September 2004
Exclusion zone of convex brushes in the strong-stretching limit Belyi, Vladimir A. The Journal of Chemical Physics, Vol. 121, Issue 13 https://doi.org/10.1063/1.1778153	journal	October 2004
Theory of inhomogeneous polymers: Fundamentals of the Gaussian random‐walk model Helfand, Eugene The Journal of Chemical Physics, Vol. 62, Issue 3 https://doi.org/10.1063/1.430517	journal	February 1975
Microphase separation in block copolymer/homopolymer blends: Theory and experiment Floudas, G.; Hadjichristidis, N.; Stamm, M. The Journal of Chemical Physics, Vol. 106, Issue 8 https://doi.org/10.1063/1.473080	journal	February 1997
Block copolymer microstructures in the intermediate-segregation regime Matsen, M. W.; Bates, F. S. The Journal of Chemical Physics, Vol. 106, Issue 6 https://doi.org/10.1063/1.473153	journal	February 1997
Liquid-crystalline behavior of rod-coil diblock copolymers Matsen, M. W.; Barrett, C. The Journal of Chemical Physics, Vol. 109, Issue 10 https://doi.org/10.1063/1.477011	journal	September 1998
Recent advances in small angle x-ray scattering for superlattice study Jiang, Zhang; Lee, Byeongdu Applied Physics Reviews, Vol. 8, Issue 1 https://doi.org/10.1063/5.0031692	journal	March 2021
Sphericity and symmetry breaking in the formation of Frank–Kasper phases from one component materials Lee, Sangwoo; Leighton, Chris; Bates, Frank S. Proceedings of the National Academy of Sciences, Vol. 111, Issue 50 https://doi.org/10.1073/pnas.1408678111	journal	November 2014
Low-symmetry sphere packings of simple surfactant micelles induced by ionic sphericity Kim, Sung A.; Jeong, Kyeong-Jun; Yethiraj, Arun Proceedings of the National Academy of Sciences, Vol. 114, Issue 16 https://doi.org/10.1073/pnas.1701608114	journal	April 2017
Soft self-assembly of Weyl materials for light and sound Fruchart, Michel; Jeon, Seung-Yeol; Hur, Kahyun Proceedings of the National Academy of Sciences, Vol. 115, Issue 16 https://doi.org/10.1073/pnas.1720828115	journal	April 2018
Stable Frank–Kasper phases of self-assembled, soft matter spheres Reddy, Abhiram; Buckley, Michael B.; Arora, Akash Proceedings of the National Academy of Sciences, Vol. 115, Issue 41 https://doi.org/10.1073/pnas.1809655115	journal	September 2018
Stability of the A15 phase in diblock copolymer melts Bates, Morgan W.; Lequieu, Joshua; Barbon, Stephanie M. Proceedings of the National Academy of Sciences, Vol. 116, Issue 27 https://doi.org/10.1073/pnas.1900121116	journal	June 2019
Symmetry breaking in particle-forming diblock polymer/homopolymer blends Cheong, Guo Kang; Bates, Frank S.; Dorfman, Kevin D. Proceedings of the National Academy of Sciences, Vol. 117, Issue 29 https://doi.org/10.1073/pnas.2006079117	journal	July 2020
Visualizing the double-gyroid twin Feng, Xueyan; Zhuo, Mujin; Guo, Hua Proceedings of the National Academy of Sciences, Vol. 118, Issue 12 https://doi.org/10.1073/pnas.2018977118	journal	March 2021
Mesoscale networks and corresponding transitions from self-assembly of block copolymers Chang, Cheng-Yen; Manesi, Gkreti-Maria; Yang, Chih-Ying Proceedings of the National Academy of Sciences, Vol. 118, Issue 11 https://doi.org/10.1073/pnas.2022275118	journal	March 2021
Gyroids of Constant Mean Curvature Große-Brauckmann, Karsten Experimental Mathematics, Vol. 6, Issue 1 https://doi.org/10.1080/10586458.1997.10504349	journal	January 1997
The standard Gaussian model for block copolymer melts Matsen, M. W. Journal of Physics: Condensed Matter, Vol. 14, Issue 2 https://doi.org/10.1088/0953-8984/14/2/201	journal	December 2001
Kaleidoscopic morphologies from ABC star-shaped terpolymers Matsushita, Yushu; Hayashida, Kenichi; Dotera, Tomonari Journal of Physics: Condensed Matter, Vol. 23, Issue 28 https://doi.org/10.1088/0953-8984/23/28/284111	journal	June 2011
Frustration in block copolymer assemblies Shi, An-Chang Journal of Physics: Condensed Matter, Vol. 33, Issue 25 https://doi.org/10.1088/1361-648X/abf8d0	journal	May 2021
Reflections concerning triply-periodic minimal surfaces Schoen, Alan H. Interface Focus, Vol. 2, Issue 5 https://doi.org/10.1098/rsfs.2012.0023	journal	May 2012
Competition brings out the best: modelling the frustration between curvature energy and chain stretching energy of lyotropic liquid crystals in bicontinuous cubic phases Chen, Hao; Jin, Chenyu Interface Focus, Vol. 7, Issue 4 https://doi.org/10.1098/rsfs.2016.0114	journal	June 2017
Interfacial and topological measurements of bicontinuous polymer morphologies Jinnai, Hiroshi; Kajihara, Takashi; Watashiba, Hideyuki Physical Review E, Vol. 64, Issue 1 https://doi.org/10.1103/PhysRevE.64.010803	journal	June 2001
Smectic blue phases: Layered systems with high intrinsic curvature DiDonna, B. A.; Kamien, Randall D. Physical Review E, Vol. 68, Issue 4 https://doi.org/10.1103/PhysRevE.68.041703	journal	October 2003
Self-consistent field theory of multiply branched block copolymer melts Grason, Gregory M.; Kamien, Randall D. Physical Review E, Vol. 71, Issue 5 https://doi.org/10.1103/PhysRevE.71.051801	journal	May 2005
Intradomain Textures in Block Copolymers: Multizone Alignment and Biaxiality Prasad, Ishan; Seo, Youngmi; Hall, Lisa M. Physical Review Letters, Vol. 118, Issue 24 https://doi.org/10.1103/PhysRevLett.118.247801	journal	June 2017
Stable and unstable phases of a diblock copolymer melt Matsen, M. W.; Schick, M. Physical Review Letters, Vol. 72, Issue 16 https://doi.org/10.1103/PhysRevLett.72.2660	journal	April 1994
Strong-segregation theory of bicontinuous phases in block copolymers Olmsted, Peter D.; Milner, Scott T. Physical Review Letters, Vol. 72, Issue 6 https://doi.org/10.1103/PhysRevLett.72.936	journal	February 1994
Stabilizing New Morphologies by Blending Homopolymer with Block Copolymer Matsen, M. W. Physical Review Letters, Vol. 74, Issue 21 https://doi.org/10.1103/PhysRevLett.74.4225	journal	May 1995
Strong-Segregation Theory of Bicontinuous Phases in Block Copolymers Olmsted, Peter D.; Milner, Scott T. Physical Review Letters, Vol. 74, Issue 5 https://doi.org/10.1103/PhysRevLett.74.829	journal	January 1995
Cell Crystals: Kelvin's Polyhedra in Block Copolymer Melts Dotera, Tomonari Physical Review Letters, Vol. 82, Issue 1 https://doi.org/10.1103/PhysRevLett.82.105	journal	January 1999
Direct Measurement of Interfacial Curvature Distributions in a Bicontinuous Block Copolymer Morphology Jinnai, Hiroshi; Nishikawa, Yukihiro; Spontak, Richard J. Physical Review Letters, Vol. 84, Issue 3 https://doi.org/10.1103/PhysRevLett.84.518	journal	January 2000
Geometric Theory of Diblock Copolymer Phases Grason, Gregory M.; DiDonna, B. A.; Kamien, Randall D. Physical Review Letters, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevLett.91.058304	journal	July 2003
Orthorhombic F d d d Network in Triblock and Diblock Copolymer Melts Tyler, Christopher A.; Morse, David C. Physical Review Letters, Vol. 94, Issue 20 https://doi.org/10.1103/PhysRevLett.94.208302	journal	May 2005
The geometry of soft materials: a primer Kamien, Randall D. Reviews of Modern Physics, Vol. 74, Issue 4 https://doi.org/10.1103/RevModPhys.74.953	journal	September 2002
SUPERFLIP – a computer program for the solution of crystal structures by charge flipping in arbitrary dimensions Palatinus, Lukáš; Chapuis, Gervais Journal of Applied Crystallography, Vol. 40, Issue 4 https://doi.org/10.1107/S0021889807029238	journal	July 2007
VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data Momma, Koichi; Izumi, Fujio Journal of Applied Crystallography, Vol. 44, Issue 6 https://doi.org/10.1107/S0021889811038970	journal	October 2011
Concerning the relative numbers of atomic coordination types in tetrahedrally close packed metal structures Shoemaker, D. P.; Shoemaker, C. B. Acta Crystallographica Section B Structural Science, Vol. 42, Issue 1 https://doi.org/10.1107/S0108768186098671	journal	February 1986
Complex alloy structures regarded as sphere packings. II. Analysis and classification of representative structures Frank, F. C.; Kasper, J. S. Acta Crystallographica, Vol. 12, Issue 7 https://doi.org/10.1107/S0365110X59001499	journal	July 1959
Atomic ordering in binary A l5-type phases van Reuth, E. C.; Waterstrat, R. M. Acta Crystallographica Section B Structural Crystallography and Crystal Chemistry, Vol. 24, Issue 2 https://doi.org/10.1107/S0567740868001937	journal	February 1968
Block copolymers as photonic bandgap materials Fink, Y.; Urbas, A. M.; Bawendi, M. G. Journal of Lightwave Technology, Vol. 17, Issue 11, p. 1963-1969 https://doi.org/10.1109/50.802981	journal	November 1999
Directed Assembly of Block Copolymer Blends into Nonregular Device-Oriented Structures Stoykovich, Mark P.; Müller, Marcus; Kim, Sang Ouk Science, Vol. 308, Issue 5727, p. 1442-1446 https://doi.org/10.1126/science.1111041	journal	June 2005
Density Multiplication and Improved Lithography by Directed Block Copolymer Assembly Ruiz, R.; Kang, H.; Detcheverry, F. A. Science, Vol. 321, Issue 5891 https://doi.org/10.1126/science.1157626	journal	August 2008
Discovery of a Frank-Kasper Phase in Sphere-Forming Block Copolymer Melts Lee, S.; Bluemle, M. J.; Bates, F. S. Science, Vol. 330, Issue 6002 https://doi.org/10.1126/science.1195552	journal	October 2010
Multiblock Polymers: Panacea or Pandora's Box? Bates, F. S.; Hillmyer, M. A.; Lodge, T. P. Science, Vol. 336, Issue 6080 https://doi.org/10.1126/science.1215368	journal	April 2012
Selective assemblies of giant tetrahedra via precisely controlled positional interactions Huang, M.; Hsu, C. -H.; Wang, J. Science, Vol. 348, Issue 6233 https://doi.org/10.1126/science.aaa2421	journal	April 2015
Experimental observation of Weyl points Lu, L.; Wang, Z.; Ye, D. Science, Vol. 349, Issue 6248 https://doi.org/10.1126/science.aaa9273	journal	July 2015
Benchmark Problems for Phase Retrieval Elser, Veit; Lan, Ti-Yen; Bendory, Tamir SIAM Journal on Imaging Sciences, Vol. 11, Issue 4 https://doi.org/10.1137/18M1170364	journal	January 2018
Centroidal Voronoi Tessellations: Applications and Algorithms Du, Qiang; Faber, Vance; Gunzburger, Max SIAM Review, Vol. 41, Issue 4 https://doi.org/10.1137/S0036144599352836	journal	January 1999
Medial surfaces of hyperbolic structures Schr�der, G. E.; Ramsden, S. J.; Christy, A. G. The European Physical Journal B - Condensed Matter, Vol. 35, Issue 4 https://doi.org/10.1140/epjb/e2003-00308-y	journal	October 2003
Bicontinuous geometries and molecular self-assembly: comparison of local curvature and global packing variations in genus-three cubic, tetragonal and rhombohedral surfaces Schröder-Turk, G. E.; Fogden, A.; Hyde, S. T. The European Physical Journal B, Vol. 54, Issue 4 https://doi.org/10.1140/epjb/e2007-00025-7	journal	December 2006
Effect of large degrees of polydispersity on strongly segregated block copolymers Matsen, M. W. The European Physical Journal E, Vol. 21, Issue 3 https://doi.org/10.1140/epje/i2006-10060-x	journal	November 2006
Strong-segregation limit of the self-consistent field theory for diblock copolymer melts Matsen, M. W. The European Physical Journal E, Vol. 33, Issue 4 https://doi.org/10.1140/epje/i2010-10673-4	journal	November 2010
Block Copolymer Thermodynamics: Theory and Experiment Bates, Frank S.; Fredrickson, Glenn H. Annual Review of Physical Chemistry, Vol. 41, Issue 1 https://doi.org/10.1146/annurev.pc.41.100190.002521	journal	October 1990
Phase Diagram for Block Copolymer and Homopolymer Blends: The Phase Boundary of the Ordered Bicontinuous Double Diamond Network Structure Takagi, Hideaki; Takasaki, Tsutomu; Yamamoto, Katsuhiro Journal of Nanoscience and Nanotechnology, Vol. 17, Issue 12 https://doi.org/10.1166/jnn.2017.14372	journal	December 2017
Ordered-bicontinuous-double-diamond structure in block copolymer/homopolymer blends Takagi, Hideaki; Yamamoto, Katsuhiro; Okamoto, Shigeru EPL (Europhysics Letters), Vol. 110, Issue 4 https://doi.org/10.1209/0295-5075/110/48003	journal	May 2015
An advance in the theory of strongly segregated polymers Likhtman, A. E.; Semenov, A. N. Europhysics Letters (EPL), Vol. 51, Issue 3 https://doi.org/10.1209/epl/i2000-00353-8	journal	August 2000
Phase retrieval by iterated projections Elser, Veit Journal of the Optical Society of America A, Vol. 20, Issue 1 https://doi.org/10.1364/JOSAA.20.000040	journal	January 2003

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