Spherical Packing Superlattices in Self-Assembly of Homogenous Soft Matter: Progresses and Potentials

Yuchu Liu; Huanyu Lei; Qing-Yun Guo; Xianyou Liu; Xinghan Li; Yuean Wu; Weiyi Li; Wei Zhang; GengXin Liu; Xiao-Yun Yan; Stephen Z. D. Cheng

doi:10.1007/s10118-023-2976-5

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Spherical Packing Superlattices in Self-Assembly of Homogenous Soft Matter: Progresses and Potentials

PERSPECTIVE | Updated：2023-04-21

- Spherical Packing Superlattices in Self-Assembly of Homogenous Soft Matter: Progresses and Potentials
- Chinese Journal of Polymer Science Vol. 41, Issue 5, Pages: 607-620(2023)
- Affiliations：
  
  a.South China Advanced Institute for Soft Matter Science and Technology, School of Molecular Science and Engineering, South China University of Technology, Guangzhou 510640, China
  b.School of Polymer Science and Polymer Engineering, The University of Akron, Akron OH 44325-3909, USA
  c.State Key Laboratory for Modification of Chemical Fibers and Polymer Materials, Center for Advanced Low-dimension Materials, College of Material Science and Engineering, Donghua University, Shanghai 201620, China
- Author bio：
  
  xy23@uakron.edu(X.Y.Y.)
  scheng@uakron.edu(S.Z.D.C.)
- Funds：
- DOI：10.1007/s10118-023-2976-5
  CLC：
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Yuchu Liu, Huanyu Lei, Qing-Yun Guo, et al. Spherical Packing Superlattices in Self-Assembly of Homogenous Soft Matter: Progresses and Potentials. [J]. Chinese Journal of Polymer Science 41(5):607-620(2023)
DOI：

Yuchu Liu, Huanyu Lei, Qing-Yun Guo, et al. Spherical Packing Superlattices in Self-Assembly of Homogenous Soft Matter: Progresses and Potentials. [J]. Chinese Journal of Polymer Science 41(5):607-620(2023) DOI： 10.1007/s10118-023-2976-5.

摘要

Bottom-up construction of complex superlattices using self-assembly of soft matter is a promising approach for large-scale production of intricate nano-patterns. Homogenous soft matter, i.e., block copolymers, dendrimers, and giant molecules, can be used to fabricate complex 3D superlattices with extraordinary photonic and phonon properties. The article provides a perspective on the development of complex spherical packing superlattice by homogenous self-assembly, reviewing the unique hierarchical self-assembling processes, the general features of different superlattices, and discussing challenges and potentials in this field.

Abstract

The construction of complex superlattices using homogenous soft matter has great potential for the bottom-up fabrication of complex, nanoscale structures. This topic is not only interested in scientific exploring for new concepts of supramolecular crystals with nanometer in sizes, which is about thousand times larger in volumes than those of normal crystals, but also practically important to provide construction principles of metamaterials which are artificially structured materials for controlling and manipulating light, sound, and other physical behaviors. These systems have fast assembly kinetics and convenient processing procedures, making them ideal for large-scale superlattice production. In this perspective, we focus on recent developments in the construction of complex spherical packing superlattices using homogenous soft self-assemblies. We discuss the general mechanism of those formations of supramolecular motifs and provide an overview of the spherical packing superlattices self-assembled by homogenous soft matters based on different volume asymmetry. Additionally, we outline the potentials of utilizing this approach in constructing novel superlattices as well as its future challenges.

关键词

Keywords

Soft matterSelf-assemblySpherical packing phasesSuperlatticeBottom-up construction

references

Shalaev, V. M.Optical negative-index metamaterials.Nat. Photon.,2007,141-48.DOI:10.1038/nphoton.2006.49http://doi.org/10.1038/nphoton.2006.49.

Poddubny, A.; Iorsh, I.; Belov, P.; Kivshar, Y.Hyperbolic metamaterials.Nat. Photon.,2013,7948-957.DOI:10.1038/nphoton.2013.243http://doi.org/10.1038/nphoton.2013.243.

Chen, H.; Chan, C. T.; Sheng, P.Transformation optics and metamaterials.Nat. Mater.,2010,9387-396.DOI:10.1038/nmat2743http://doi.org/10.1038/nmat2743.

Gabinet, U. R.; Osuji, C. O.Optical materials and metamaterials from nanostructured soft matter.Nano Res.,2019,122172-2183.DOI:10.1007/s12274-019-2437-1http://doi.org/10.1007/s12274-019-2437-1.

von Freymann, G.; Kitaev, V.; Lotsch, B. V.; Ozin, G. A.Bottom-up assembly of photonic crystals.Chem. Soc. Rev.,2013,422528-2554.DOI:10.1039/C2CS35309Ahttp://doi.org/10.1039/C2CS35309A.

Lu, W.; Lieber, C. M.Nanoelectronics from the bottom up.Nat. Mater.,2007,6841-850.DOI:10.1038/nmat2028http://doi.org/10.1038/nmat2028.

Zhou, X.; Yu, G.Preparation engineering of two-dimensional heterostructuresviabottom-up growth for device applications.ACS Nano,2021,1511040-11065.DOI:10.1021/acsnano.1c02985http://doi.org/10.1021/acsnano.1c02985.

Cheng, J. Y.; Ross, C. A.; Smith, H. I.; Thomas, E. L.Templated self-assembly of block copolymers: top-down helps bottom-up.Adv. Mater.,2006,182505-2521.DOI:10.1002/adma.200502651http://doi.org/10.1002/adma.200502651.

Ren, J.; Segal-Peretz, T.; Zhou, C.; Craig, G. S. W.; Nealey, P. F. Three-dimensional superlattice engineering with block copolymer epitaxy,Sci. Adv.2020,6, DOI:10.1126/sciadv.aaz0002.

Xiong, S.; Wan, L.; Ishida, Y.; Chapuis, Y. A.; Craig, G. S. W.; Ruiz, R.; Nealey, P. F.Directed self-assembly of triblock copolymer on chemical patterns for sub-10-nm nanofabricationviasolvent annealing.ACS Nano,2016,107855-7865.DOI:10.1021/acsnano.6b03667http://doi.org/10.1021/acsnano.6b03667.

Hu, H.; Gopinadhan, M.; Osuji, C. O.Directed self-assembly of block copolymers: a tutorial review of strategies for enabling nanotechnology with soft matter.Soft Matter,2014,103867DOI:10.1039/c3sm52607khttp://doi.org/10.1039/c3sm52607k.

Zhang, W. B.; Yu, X. F.; Wang, C. L.; Sun, H. J.; Hsieh, I. F.; Li, Y.; Dong, X. H.; Yue, K.; Van Horn, R.; Cheng, S. Z. D.Molecular nanoparticles are unique elements for macromolecular science: from “nanoatoms” to giant molecules.Macromolecules,2014,471221-1239.DOI:10.1021/ma401724phttp://doi.org/10.1021/ma401724p.

Leibler, L.Theory of microphase separation in block copolymers.Macromolecules,1980,131602-1617.DOI:10.1021/ma60078a047http://doi.org/10.1021/ma60078a047.

Sun, H. J.; Zhang, S.; Percec, V..From structure to functionviacomplex supramolecular dendrimer systems.Chem. Soc. Rev.,2015,443900-3923.DOI:10.1039/c4cs00249khttp://doi.org/10.1039/c4cs00249k.

Zhang, W. B.; Cheng, S. Z. D.Giant is different: size effects and the nature of macromolecules.Giant,2020,1100011DOI:10.1016/j.giant.2020.100011http://doi.org/10.1016/j.giant.2020.100011.

Wen, T.; Ni, B.; Liu, Y.; Zhang, W.; Guo, Z. H.; Lee, Y. C.; Ho, R. M.; Cheng, S. Z. D.Towards achieving a large-area and defect-free nano-line patternviacontrolled self-assembly by sequential annealing.Giant,2021,8100078DOI:10.1016/j.giant.2021.100078http://doi.org/10.1016/j.giant.2021.100078.

Liu, Y.; Liu, T.; Yan, X. Y.; Guo, Q. Y.; Wang, J.; Zhang, R.; Zhang, S.; Su, Z.; Huang, J.; Liu, G. X.; Zhang, W.; Zhang, W.; Aida, T.; Yue, K.; Huang, M.; Cheng, S. Z. D.; Shi, A. C.Mesoatom alloysviaself-sorting approach of giant molecules blends.Giant,2020,4100031DOI:10.1016/j.giant.2020.100031http://doi.org/10.1016/j.giant.2020.100031.

Xie, J.; Shi, A. C.Formation of complex spherical packing phases in diblock copolymer/homopolymer blends.Giant,2021,5100043DOI:10.1016/j.giant.2020.100043http://doi.org/10.1016/j.giant.2020.100043.

Wang, Y.; Huang, J.; Yan, X.; Lei, H.; Liu, X.; Guo, Q.; Liu, Y.; Liu, T.; Huang, M.; Bian, F.; Su, Z.; Cheng, S. Z. D.Soft alloys constructed with distinct mesoatomsviaself-sorting assembly of giant shape amphiphiles.Angew. Chem. Int. Ed.,2022,61e202200637DOI:10.1002/anie.202200637http://doi.org/10.1002/anie.202200637.

Liu, Y.; Liu, T.; Yan, X. Y.; Guo, Q. Y.; Lei, H.; Huang, Z.; Zhang, R.; Wang, Y.; Wang, J.; Liu, F.; Bian, F. G.; Meijer, E. W.; Aida, T.; Huang, M.; Cheng, S. Z. D.Expanding quasiperiodicity in soft matter: supramolecular decagonal quasicrystals by binary giant molecule blends.Proc. Natl. Acad. Sci. U. S. A.,2022,11921613-21621.DOI:10.1073/pnas.2115304119http://doi.org/10.1073/pnas.2115304119.

Yan, X. Y.; Guo, Q. Y.; Liu, X. Y.; Wang, Y.; Wang, J.; Su, Z.; Huang, J.; Bian, F.; Lin, H.; Huang, M.; Lin, Z.; Liu, T.; Liu, Y.; Cheng, S. Z. D.Superlattice engineering with chemically precise molecular building blocks.J. Am. Chem. Soc.,2021,14321613-21621.DOI:10.1021/jacs.1c09831http://doi.org/10.1021/jacs.1c09831.

Lei, H.; Liu, Y.; Liu, T.; Guo, Q.; Yan, X.; Wang, Y.; Zhang, W.; Su, Z.; Huang, J.; Xu, W.; Bian, F.; Huang, M.; Cheng, S. Z. D.Unimolecular nanoparticles toward more precise regulations of self-assembled superlattices in soft matter.Angew. Chem. Int. Ed.,2022,61e202203433DOI:10.1002/anie.202203433http://doi.org/10.1002/anie.202203433.

Kim, K.; Schulze, M. W.; Arora, A.; Lewis, R. M.; Hillmyer, M. A.; Dorfman, K. D.; Bates, F. S.Thermal processing of diblock copolymer melts mimics metallurgy.Science,2017,356520-523.DOI:10.1126/science.aam7212http://doi.org/10.1126/science.aam7212.

Chanpuriya, S.; Kim, K.; Zhang, J.; Lee, S.; Arora, A.; Dorfman, K. D.; Delaney, K. T.; Fredrickson, G. H.; Bates, F. S.Cornucopia of nanoscale ordered phases in sphere-forming tetrablock terpolymers.ACS Nano,2016,104961-4972.DOI:10.1021/acsnano.6b00495http://doi.org/10.1021/acsnano.6b00495.

Balagurusamy, V. S. K.; Ungar, G.; Percec, V.; Johansson, G.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.J. Am. Chem. Soc.,1997,1191539-1555.DOI:10.1021/ja963295ihttp://doi.org/10.1021/ja963295i.

Huang, M.; Hsu, C. H.; Wang, J.; Mei, S.; Dong, X.; Li, Y.; Li, M.; Liu, H.; Zhang, W. B.; Aida, T.; Zhang, W. B.; Yue, K.; Cheng, S. Z. D.Selective assemblies of giant tetrahedraviaprecisely controlled positional interactions.Science,2015,348424-428.DOI:10.1126/science.aaa2421http://doi.org/10.1126/science.aaa2421.

Su, Z.; Hsu, C. H.; Gong, Z.; Feng, X.; Huang, J.; Zhang, R.; Wang, Y.; Mao, J.; Wesdemiotis, C.; Li, T.; Seifert, S.; Zhang, W.; Aida, T.; Huang, M.; Cheng, S. Z. D.Identification of a Frank-Kasper Z phase from shape amphiphile self-assembly.Nat. Chem.,2019,11899-905.DOI:10.1038/s41557-019-0330-xhttp://doi.org/10.1038/s41557-019-0330-x.

Zhao, M.; Li, W.Laves phases formed in the binary blend of AB4miktoarm star copolymer and a-homopolymer.Macromolecules,2019,521832-1842.DOI:10.1021/acs.macromol.8b02407http://doi.org/10.1021/acs.macromol.8b02407.

Lakes, R.Materials with structural hierarchy.Nature,1993,361511-515.DOI:10.1038/361511a0http://doi.org/10.1038/361511a0.

Boles, M. A.; Engel, M.; Talapin, D. V.Self-assembly of colloidal nanocrystals: from intricate structures to functional materials.Chem. Rev.,2016,11611220-11289.DOI:10.1021/acs.chemrev.6b00196http://doi.org/10.1021/acs.chemrev.6b00196.

Shevchenko, E. V.; Talapin, D. V.; Kotov, N. A.; O’Brien, S.; Murray, C. B.Structural diversity in binary nanoparticle superlattices.Nature,2006,43955-59.DOI:10.1038/nature04414http://doi.org/10.1038/nature04414.

Deng, K.; Luo, Z.; Tan, L.; Quan, Z.Self-assembly of anisotropic nanoparticles into functional superstructures.Chem. Soc. Rev.,2020,496002-6038.DOI:10.1039/D0CS00541Jhttp://doi.org/10.1039/D0CS00541J.

Coropceanu, I.; Boles, M. A.; Talapin, D. V.Systematic mapping of binary nanocrystal superlattices: the role of topology in phase selection.J. Am. Chem. Soc.,2019,1415728-5740.DOI:10.1021/jacs.8b12539http://doi.org/10.1021/jacs.8b12539.

Zhang, J.; Santos, P. J.; Gabrys, P. A.; Lee, S.; Liu, C.; Macfarlane, R. J.Self-assembling nanocomposite tectons.J. Am. Chem. Soc.,2016,13816228-16231.DOI:10.1021/jacs.6b11052http://doi.org/10.1021/jacs.6b11052.

Auyeung, E.; Cutler, J. I.; Macfarlane, R. J.; Jones, M. R.; Wu, J.; Liu, G.; Zhang, K.; Osberg, K. D.; Mirkin, C. A.Synthetically programmable nanoparticle superlattices using a hollow three-dimensional spacer approach.Nat. Nanotechnol.,2012,724-28.DOI:10.1038/nnano.2011.222http://doi.org/10.1038/nnano.2011.222.

Santos, P. J.; Gabrys, P. A.; Zornberg, L. Z.; Lee, M. S.; Macfarlane, R. J.Macroscopic materials assembled from nanoparticle superlattices.Nature,2021,591586-591.DOI:10.1038/s41586-021-03355-zhttp://doi.org/10.1038/s41586-021-03355-z.

Yoon, Y. J.; Kang, S. H.; Kim, T. H.Temperature-selective self-assembled superlattices of gold nanoparticles driven by block copolymer template guidance.J. Phys. Chem. Lett.,2021,1211960-11967.DOI:10.1021/acs.jpclett.1c03268http://doi.org/10.1021/acs.jpclett.1c03268.

Nykypanchuk, D.; Maye, M. M.; van der Lelie, D.; Gang, O.DNA-guided crystallization of colloidal nanoparticles.Nature,2008,451549-552.DOI:10.1038/nature06560http://doi.org/10.1038/nature06560.

Park, S. Y.; Lytton-Jean, A. K. R.; Lee, B.; Weigand, S.; Schatz, G. C.; Mirkin, C. A.DNA-programmable nanoparticle crystallization.Nature,2008,451553-556.DOI:10.1038/nature06508http://doi.org/10.1038/nature06508.

Lee, S.; Calcaterra, H. A.; Lee, S.; Hadibrata, W.; Lee, B.; Oh, E.; Aydin, K.; Glotzer, S. C.; Mirkin, C. A.Shape memory in self-adapting colloidal crystals.Nature,2022,610674-679.DOI:10.1038/s41586-022-05232-9http://doi.org/10.1038/s41586-022-05232-9.

Li, Y.; Zhou, W.; Tanriover, I.; Hadibrata, W.; Partridge, B. E.; Lin, H.; Hu, X.; Lee, B.; Liu, J.; Dravid, V. P.; Aydin, K.; Mirkin, C. A.Open-channel metal particle superlattices.Nature,2022,611695-701.DOI:10.1038/s41586-022-05291-yhttp://doi.org/10.1038/s41586-022-05291-y.

Zhang, C.; MacFarlane, R. J.; Young, K. L.; Choi, C. H. J.; Hao, L.; Auyeung, E.; Liu, G.; Zhou, X.; Mirkin, C. A.A general approach to DNA-programmable atom equivalents.Nat. Mater.,2013,12741-746.DOI:10.1038/nmat3647http://doi.org/10.1038/nmat3647.

Macfarlane, R. J.; Lee, B.; Jones, M. R.; Harris, N.; Schatz, G. C.; Mirkin, C. A.Nanoparticle superlattice engineering with DNA.Science,2011,334204-208.DOI:10.1126/science.1210493http://doi.org/10.1126/science.1210493.

Bailey, E. J.; Winey, K. I.Dynamics of polymer segments, polymer chains, and nanoparticles in polymer nanocomposite melts: a review.Prog. Polym. Sci.,2020,105101242DOI:10.1016/j.progpolymsci.2020.101242http://doi.org/10.1016/j.progpolymsci.2020.101242.

Liu, Y.; Liu, G.; Zhang, W.; Du, C.; Wesdemiotis, C.; Cheng, S. Z. D.Cooperative soft-cluster glass in giant molecular clusters.Macromolecules,2019,524341-4348.DOI:10.1021/acs.macromol.9b00549http://doi.org/10.1021/acs.macromol.9b00549.

Liu, G.; Feng, X.; Lang, K.; Zhang, R.; Guo, D.; Yang, S.; Cheng, S. Z. D.Dynamics of shape-persistent giant molecules: zimm-like melt, elastic plateau, and cooperative glass-like.Macromolecules,2017,506637-6646.DOI:10.1021/acs.macromol.7b01058http://doi.org/10.1021/acs.macromol.7b01058.

Zhu, Y.; Luo, J.; Zou, Q.; Ouyang, X.; Ruan, Y.; Liu, Y.; Liu, G.Glassy feature in melts of 3-dimensional architectured polymer blends.Polymer,2022,238124336DOI:10.1016/j.polymer.2021.124336http://doi.org/10.1016/j.polymer.2021.124336.

Liu, Y.; Yan, X.; Guo, Q.; Lei, H.; Liu, X.; Li, X.; Wu, Y.; Zhang, W.; Liu, G.; Cheng, S. Z. D.Recent progress on the rheology of giant molecules.Macromol. Chem. Phys.,2022,2242200357DOI:10.1002/macp.202200357http://doi.org/10.1002/macp.202200357.

Zou, Q.; Zhu, Y.; Ruan, Y.; Zhang, R.; Liu, G. X.Coarse-grained soft-clusters remain non-diffusing in the melt state.Giant,2021,8100070DOI:10.1016/j.giant.2021.100070http://doi.org/10.1016/j.giant.2021.100070.

Feng, X.; Liu, G.; Guo, D.; Lang, K.; Zhang, R.; Huang, J.; Su, Z.; Li, Y.; Huang, M.; Li, T.; Cheng, S. Z. D.Transition kinetics of self-assembled supramolecular dodecagonal quasicrystal and Frank-KasperσPhases in ABndendron-like giant molecules.ACS Macro Lett.,2019,8875-881.DOI:10.1021/acsmacrolett.9b00287http://doi.org/10.1021/acsmacrolett.9b00287.

Xie, N.; Li, W.; Qiu, F.; Shi, A. C.σPhase formed in conformationally asymmetric AB-type block copolymers.ACS Macro Lett.,2014,3906-910.DOI:10.1021/mz500445vhttp://doi.org/10.1021/mz500445v.

Li, W.; Duan, C.; Shi, A. C.Nonclassical spherical packing phases self-assembled from AB-type block copolymers.ACS Macro Lett.,2017,61257-1262.DOI:10.1021/acsmacrolett.7b00756http://doi.org/10.1021/acsmacrolett.7b00756.

Bates, M. W.; Lequieu, J.; Barbon, S. M.; Lewis, R. M.; Delaney, K. T.; Anastasaki, A.; Hawker, C. J.; Fredrickson, G. H.; Bates, C. M.Stability of the A15 phase in diblock copolymer melts.Proc. Natl. Acad. Sci.,2019,11613194-13199.DOI:10.1073/pnas.1900121116http://doi.org/10.1073/pnas.1900121116.

Reddy, A.; Buckley, M. B.; Arora, A.; Bates, F. S.; Dorfman, K. D.; Grason, G. M.Stable Frank-Kasper phases of self-assembled, soft matter spheres.Proc. Natl. Acad. Sci. U. S. A.,2018,11510233-10238.DOI:10.1073/pnas.1809655115http://doi.org/10.1073/pnas.1809655115.

Bates, M. W.; Barbon, S. M.; Levi, A. E.; Lewis, R. M.; Beech, H. K.; Vonk, K. M.; Zhang, C.; Fredrickson, G. H.; Hawker, C. J.; Bates, C. M.Synthesis and self-assembly of ABnmiktoarm star polymers.ACS Macro Lett.,2020,9396-403.DOI:10.1021/acsmacrolett.0c00061http://doi.org/10.1021/acsmacrolett.0c00061.

Ma, Z.; Tan, R.; Gan, Z.; Zhou, D.; Yang, Y.; Zhang, W.; Dong, X. H.Modulation of the complex spherical packings through rationally doping a discrete homopolymer into a discrete block copolymer: a quantitative study.Macromolecules,2022,554331-4340.DOI:10.1021/acs.macromol.2c00682http://doi.org/10.1021/acs.macromol.2c00682.

Yue, K.; Huang, M.; Marson, R. L.; He, J.; Huang, J.; Zhou, Z.; Wang, J.; Liu, C.; Yan, X.; Wu, K.; Guo, Z.; Liu, H.; Zhang, W.; Ni, P.; Wesdemiotis, C.; Zhang, W. B.; Glotzer, S. C.; Cheng, S. Z. D.Geometry induced sequence of nanoscale Frank-Kasper and quasicrystal mesophases in giant surfactants.Proc. Natl. Acad. Sci. U. S. A.,2016,11314195-14200.DOI:10.1073/pnas.1609422113http://doi.org/10.1073/pnas.1609422113.

Su, H.; Li, Y.; Yue, K.; Wang, Z.; Lu, P.; Feng, X.; Dong, X. H.; Zhang, S.; Cheng, S. Z. D.; Zhang, W. B.Macromolecular structure evolution toward giant molecules of complex structure: tandem synthesis of asymmetric giant gemini surfactants.Polym. Chem.,2014,53697DOI:10.1039/c4py00107ahttp://doi.org/10.1039/c4py00107a.

Feng, X.; Zhang, R.; Li, Y.; Hong, Y. L.; Guo, D.; Lang, K.; Wu, K. Y.; Huang, M.; Mao, J.; Wesdemiotis, C.; Nishiyama, Y.; Zhang, W.; Miyoshi, T.; Li, T.; Cheng, S. Z. D.Hierarchical self-organization of ABndendron-like molecules into a supramolecular lattice sequence.ACS Cent. Sci.,2017,3860-867.DOI:10.1021/acscentsci.7b00188http://doi.org/10.1021/acscentsci.7b00188.

Percec, V.; Imam, M. R.; Peterca, M.; Wilson, D. A.; Heiney, P. A.Self-assembly of dendritic crowns into chiral supramolecular spheres.J. Am. Chem. Soc.,2009,1311294-1304.DOI:10.1021/ja8087778http://doi.org/10.1021/ja8087778.

Lee, S.; Leighton, C.; Bates, F. S.Sphericity and symmetry breaking in the formation of Frank-Kasper phases from one component materials.Proc. Natl. Acad. Sci. U. S. A.,2014,11117723-17731.DOI:10.1073/pnas.1408678111http://doi.org/10.1073/pnas.1408678111.

Lodge, T. P.Block copolymers: long-term growth with added value.Macromolecules,2020,532-4.DOI:10.1021/acs.macromol.9b02069http://doi.org/10.1021/acs.macromol.9b02069.

Frank, F. C.; Kasper, J. S.Complex alloy structures regarded as sphere packings. ii. Analysis and classification of representative structures.Acta Crystallogr.,1959,12483-499.DOI:10.1107/s0365110x59001499http://doi.org/10.1107/s0365110x59001499.

Frank, F. C.; Kasper, J. S.Complex alloy structures regarded as sphere packings. i. Definitions and basic principles.Acta Crystallogr.,1958,11184-190.DOI:10.1107/s0365110x58000487http://doi.org/10.1107/s0365110x58000487.

Wigner, E.; Seitz, F.On the constitution of metallic sodium.Phys. Rev.,1933,43804-810.DOI:10.1103/PhysRev.43.804http://doi.org/10.1103/PhysRev.43.804.

Bohm, J.; Heimann, R. B.; Bohm, M.Voronoi polyhedra: a useful tool to determine the symmetry and bravais class of crystal lattices.Cryst. Res. Technol.,1996,311069-1075.DOI:10.1002/crat.2170310816http://doi.org/10.1002/crat.2170310816.

Xie, R.; Mukherjee, S.; Levi, A. E.; Reynolds, V. G.; Wang, H.; Chabinyc, M. L.; Bates, C. M..Room temperature 3D printing of super-soft and solvent-free elastomers.Sci. Adv.,2020,6eabc6900DOI:10.1126/sciadv.abc6900http://doi.org/10.1126/sciadv.abc6900.

Zhang, C.; Vigil, D. L.; Sun, D.; Bates, M. W.; Loman, T.; Murphy, E. A.; Barbon, S. M.; Song, J. A.; Yu, B.; Fredrickson, G. H.; Whittaker, A. K.; Hawker, C. J.; Bates, C. M.Emergence of hexagonally close-packed spheres in linear block copolymer melts.J. Am. Chem. Soc.,2021,14314106-14114.DOI:10.1021/jacs.1c03647http://doi.org/10.1021/jacs.1c03647.

Huang, Y. Y.; Hsu, J. Y.; Chen, H. L.; Hashimoto, T.Existence of FCC-packed spherical micelles in diblock copolymer melt.Macromolecules,2007,40406-409.DOI:10.1021/ma062149mhttp://doi.org/10.1021/ma062149m.

Bates, F. S.; Cohen, R. E.; Berney, C. V.Small-angle neutron scattering determination of macrolattice structure in a polystyrene-polybutadiene diblock copolymer.Macromolecules,1982,15589-592.DOI:10.1021/ma00230a073http://doi.org/10.1021/ma00230a073.

Yang, L.; Hong, S.; Gido, S. P.; Velis, G.; Hadjichristidis, N.I5S miktoarm star block copolymers: packing constraints on morphology and discontinuous chevron tilt grain boundaries.Macromolecules,2001,349069-9073.DOI:10.1021/ma010737ohttp://doi.org/10.1021/ma010737o.

Yeardley, D. J. P.; Ungar, G.; Percec, V.; Holerca, M. N.; Johansson, G.Spherical supramolecular minidendrimers self-organized in an “inverse micellar”-like thermotropic body-centered cubic liquid crystalline phase.J. Am. Chem. Soc.,2000,1221684-1689.DOI:10.1021/ja993915qhttp://doi.org/10.1021/ja993915q.

Duan, H.; Hudson, S. D.; Ungar, G.; Holerca, M. N.; Percec, V.Definitive support by transmission electron microscopy, electron diffraction, and electron density maps for the formation of a BCC lattice from poly{N-[3,4,5-tris(n-dodecan-l-yloxy)benzoyl]ethyleneimine}.Chem. Eur. J.,2001,74134-4141.DOI:10.1002/1521-3765(20011001)7:19<4134::AID-CHEM4134>3.0.CO;2-Whttp://doi.org/10.1002/1521-3765(20011001)7:19<4134::AID-CHEM4134>3.0.CO;2-W.

Lin, Z.; Yang, X.; Xu, H.; Sakurai, T.; Matsuda, W.; Seki, S.; Zhou, Y.; Sun, J.; Wu, K. Y.; Yan, X. Y.; Zhang, R.; Huang, M.; Mao, J.; Wesdemiotis, C.; Aida, T.; Zhang, W.; Cheng, S. Z. D.Topologically directed assemblies of semiconducting sphere-rod conjugates.J. Am. Chem. Soc.,2017,13918616-18622.DOI:10.1021/jacs.7b10193http://doi.org/10.1021/jacs.7b10193.

Su, Z.; Huang, J.; Shan, W.; Yan, X. Y.; Zhang, R.; Liu, T.; Liu, Y.; Guo, Q. Y.; Bian, F.; Miao, X.; Huang, M.; Cheng, S. Z. D.Constituent isomerism-induced quasicrystal and Frank-Kasperσsuperlattices based on nanosized shape amphiphiles.CCS Chem.,2021,31434-1444.DOI:10.31635/ccschem.020.202000338http://doi.org/10.31635/ccschem.020.202000338.

Hsu, N. W.; Nouri, B.; Chen, L. T.; Chen, H. L.Hexagonal close-packed sphere phase of conformationally symmetric block copolymer.Macromolecules,2020,539665-9675.DOI:10.1021/acs.macromol.0c01445http://doi.org/10.1021/acs.macromol.0c01445.

Zhang, J.; Sides, S.; Bates, F. S.Ordering of sphere forming SISO tetrablock terpolymers on a simple hexagonal lattice.Macromolecules,2012,45256-265.DOI:10.1021/ma202196chttp://doi.org/10.1021/ma202196c.

Lindsay, A. P.; Cheong, G. K.; Peterson, A. J.; Weigand, S.; Dorfman, K. D.; Lodge, T. P.; Bates, F. S.Complex phase behavior in particle-forming AB/AB′ diblock copolymer blends with variable core block lengths.Macromolecules,2021,547088-7101.DOI:10.1021/acs.macromol.1c01290http://doi.org/10.1021/acs.macromol.1c01290.

Mueller, A. J.; Lindsay, A. P.; Jayaraman, A.; Weigand, S.; Lodge, T. P.; Mahanthappa, M. K.; Bates, F. S.Tuning diblock copolymer particle packing symmetry with variable molecular weight core-homopolymers.Macromolecules,2022,558332-8344.DOI:10.1021/acs.macromol.2c01267http://doi.org/10.1021/acs.macromol.2c01267.

Matsen, M. W.Effect of architecture on the phase behavior of AB-type block copolymer melts.Macromolecules,2012,452161-2165.DOI:10.1021/ma202782shttp://doi.org/10.1021/ma202782s.

Chen, L.; Qiang, Y.; Li, W.Tuning arm architecture leads to unusual phase behaviors in a (BAB) 5 star copolymer melt.Macromolecules,2018,519890-9900.DOI:10.1021/acs.macromol.8b01484http://doi.org/10.1021/acs.macromol.8b01484.

Zhou, D.; Xu, M.; Ma, Z.; Gan, Z.; Tan, R.; Wang, S.; Zhang, Z.; Dong, X. H.Precisely encoding geometric features into discrete linear polymer chains for robust structural engineering.J. Am. Chem. Soc.,2021,14318744-18754.DOI:10.1021/jacs.1c09575http://doi.org/10.1021/jacs.1c09575.

Lachmayr, K. K.; Wentz, C. M.; Sita, L. R.An exceptionally stable and scalable sugar-polyolefin Frank-Kasper A15 phase.Angew. Chem. Int. Ed.,2020,591521-1526.DOI:10.1002/anie.201912648http://doi.org/10.1002/anie.201912648.

Wilson, D. A.; Andreopoulou, K. A.; Peterca, M.; Leowanawat, P.; Sahoo, D.; Partridge, B. E.; Xiao, Q.; Huang, N.; Heiney, P. A.; Percec, V.Supramolecular spheres self-assembled from conical dendrons are chiral.J. Am. Chem. Soc.,2019,1416162-6166.DOI:10.1021/jacs.9b02206http://doi.org/10.1021/jacs.9b02206.

Zhang, R.; Feng, X.; Zhang, R.; Shan, W.; Su, Z.; Mao, J.; Wesdemiotis, C.; Huang, J.; Yan, X.; Liu, T.; Li, T.; Huang, M.; Lin, Z.; Shi, A.; Cheng, S. Z. D.Breaking parallel orientation of rodsviaa dendritic architecture toward diverse supramolecular structures.Angew. Chem. Int. Ed.,2019,5811879-11885.DOI:10.1002/anie.201904749http://doi.org/10.1002/anie.201904749.

Shao, Y.; Han, D.; Tao, Y.; Feng, F.; Han, G.; Hou, B.; Liu, H.; Yang, S.; Fu, Q.; Zhang, W. B..Leveraging macromolecular isomerism for phase complexity in Janus nanograins.ACS Cent. Sci.,2023:10.1021/acscentsci.2c01405DOI:10.1021/acscentsci.2c01405http://doi.org/10.1021/acscentsci.2c01405.

Weaire, D.; Fhelan, R.The structure of monodisperse foam.Philos. Mag. Lett.,1994,70345-350.DOI:10.1080/09500839408240997http://doi.org/10.1080/09500839408240997.

Weaire, D.; Phelan, R.A counter-example to Kelvin’s conjecture on minimal surfaces.Philos. Mag. Lett.,1994,69107-110.DOI:10.1080/09500839408241577http://doi.org/10.1080/09500839408241577.

Ziherl, P.; Kamien, R. D.Soap froths and crystal structures.Phys. Rev. Lett.,2000,853528-3531.DOI:10.1103/PhysRevLett.85.3528http://doi.org/10.1103/PhysRevLett.85.3528.

Ungar, G.; Liu, Y.; Zeng, X.; Percec, V.; Cho, W. D.Giant supramolecular liquid crystal lattice.Science,2003,2991208-1211.DOI:10.1126/science.1078849http://doi.org/10.1126/science.1078849.

Zeng, X.; Ungar, G.; Liu, Y.; Percec, V.; Dulcey, A. E.; Hobbs, J. K.Supramolecular dendritic liquid quasicrystals.Nature,2004,428157-160.DOI:10.1038/nature02368http://doi.org/10.1038/nature02368.

Dubiel, S. M.; Cieślak, J.Sigma-phase in Fe-Cr and Fe-V alloy systems and its physical properties.Crit. Rev. Solid State Mater. Sci.,2011,36191-208.DOI:10.1080/10408436.2011.589232http://doi.org/10.1080/10408436.2011.589232.

Kim, K.; Arora, A.; Lewis, R. M.; Liu, M.; Li, W.; Shi, A. C.; Dorfman, K. D.; Bates, F. S.Origins of low-symmetry phases in asymmetric diblock copolymer melts.Proc. Natl. Acad. Sci. U. S. A.,2018,115847-854.DOI:10.1073/pnas.1717850115http://doi.org/10.1073/pnas.1717850115.

Liu, M.; Qiang, Y.; Li, W.; Qiu, F.; Shi, A. C.Stabilizing the Frank-Kasper phasesviabinary blends of AB diblock copolymers.ACS Macro Lett.,2016,51167-1171.DOI:10.1021/acsmacrolett.6b00685http://doi.org/10.1021/acsmacrolett.6b00685.

Gillard, T. M.; Lee, S.; Bates, F. S.Dodecagonal quasicrystalline order in a diblock copolymer melt.Proc. Natl. Acad. Sci. U.S.A.,2016,1135167-5172.DOI:10.1073/pnas.1601692113http://doi.org/10.1073/pnas.1601692113.

Mueller, A. J.; Lindsay, A. P.; Jayaraman, A.; Lodge, T. P.; Mahanthappa, M. K.; Bates, F. S.Quasicrystals and their approximants in a crystalline-amorphous diblock copolymer.Macromolecules,2021,542647-2660.DOI:10.1021/acs.macromol.0c02871http://doi.org/10.1021/acs.macromol.0c02871.

Hayashida, K.; Dotera, T.; Takano, A.; Matsushita, Y.Polymeric quasicrystal: mesoscopic quasicrystalline tiling in ABC star polymers.Phys. Rev. Lett.,2007,98195502DOI:10.1103/PhysRevLett.98.195502http://doi.org/10.1103/PhysRevLett.98.195502.

Wilson, C. G.; Thomas, D. K.; Spooner, F. J.The crystal structure of Zr4Al3.Acta Crystallogr.,1960,1356-57.DOI:10.1107/S0365110X60000121http://doi.org/10.1107/S0365110X60000121.

Huang, J.; Zhang, R.; Wang, Y.; Su, Z.; Yan, X. Y.; Guo, Q. Y.; Liu, T.; Liu, Y.; Lei, H.; Huang, M.; Zhang, W.; Cheng, S. Z. D.Rational route toward the Frank-Kasper Z phase: effect of precise geometrical tuning on the supramolecular assembly of giant shape amphiphiles.Macromolecules,2021,547777-7785.DOI:10.1021/acs.macromol.1c01120http://doi.org/10.1021/acs.macromol.1c01120.

Magruder, B. R.; Dorfman, K. D.The C36 Laves phase in diblock polymer melts.Soft Matter,2021,178950-8959.DOI:10.1039/D1SM01063Hhttp://doi.org/10.1039/D1SM01063H.

Stein, F.; Leineweber, A.Laves phases: a review of their functional and structural applications and an improved fundamental understanding of stability and properties.J. Mater. Sci.,2021,565321-5427.DOI:10.1007/s10853-020-05509-2http://doi.org/10.1007/s10853-020-05509-2.

Uddin, M. H.; Rodriguez, C.; López-Quintela, A.; Leisner, D.; Solans, C.; Esquena, J.; Kunieda, H.Phase behavior and microstructure of poly(oxyethylene)-poly(dimethylsiloxane) copolymer melt.Macromolecules,2003,361261-1271.DOI:10.1021/ma0210978http://doi.org/10.1021/ma0210978.

Mueller, A. J.; Lindsay, A. P.; Jayaraman, A.; Lodge, T. P.; Mahanthappa, M. K.; Bates, F. S.Emergence of a C15 Laves phase in diblock polymer/homopolymer blends.ACS Macro Lett.,2020,9576-582.DOI:10.1021/acsmacrolett.0c00124http://doi.org/10.1021/acsmacrolett.0c00124.

Magruder, B. R.; Park, S. J.; Collanton, R. P.; Bates, F. S.; Dorfman, K. D.Laves phase field in a diblock copolymer alloy.Macromolecules,2022,552991-2998.DOI:10.1021/acs.macromol.2c00346http://doi.org/10.1021/acs.macromol.2c00346.

Zhao, F.; Dong, Q.; Li, Q.; Liu, M.; Li, W.Emergence and stability of exotic “binary” HCP-type spherical phase in binary AB/AB blends.Macromolecules,2022,5510005-10013.DOI:10.1021/acs.macromol.2c01957http://doi.org/10.1021/acs.macromol.2c01957.

Jun, T.; Park, H.; Jeon, S.; Jo, S.; Ahn, H.; Jang, W. D.; Lee, B.; Ryu, D. Y.Mesoscale Frank-Kasper crystal structures from dendron assembly by controlling core apex interactions.J. Am. Chem. Soc.,2021,14317548-17556.DOI:10.1021/jacs.1c07313http://doi.org/10.1021/jacs.1c07313.

Xie, N.; Liu, M.; Deng, H.; Li, W.; Qiu, F.; Shi, A. C.Macromolecular metallurgy of binary mesocrystalsviadesigned multiblock terpolymers.J. Am. Chem. Soc.,2014,1362974-2977.DOI:10.1021/ja412760khttp://doi.org/10.1021/ja412760k.

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