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Huang Z, Zhu G, Chen P, Hou C, Yan LT. Plastic Crystal-to-Crystal Transition of Janus Particles under Shear. PHYSICAL REVIEW LETTERS 2019; 122:198002. [PMID: 31144934 DOI: 10.1103/physrevlett.122.198002] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/27/2019] [Indexed: 05/26/2023]
Abstract
Colloidal Janus spheres in the bulk typically spontaneously assemble into plastic crystalline phases, while particle orientations exhibit glasslike dynamics without long-range order. Through Brownian dynamics simulations, we demonstrate that shear can trigger a phase transition from an isotropic crystal with orientational disorder to an orientationally ordered crystal with lamellae along the shear direction. This nonequilibrium transition is accompanied with the orientational ordering following a nucleation and growth mechanism. By performing a phenomenological extension of free energy analysis, we reveal that the nucleation originates from the orientation fluctuations induced by shear. The growth of the orientationally crystalline cluster is examined to be disklike, captured by developing a lattice model with memoryless state functions. These findings bring new insights into the mechanisms for the ordering transition of anisotropic particles at nonequilibrium states.
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Affiliation(s)
- Zihan Huang
- State Key Laboratory of Chemical Engineering, Department of Chemical Engineering, Tsinghua University, Beijing 100084, China
| | - Guolong Zhu
- State Key Laboratory of Chemical Engineering, Department of Chemical Engineering, Tsinghua University, Beijing 100084, China
| | - Pengyu Chen
- State Key Laboratory of Chemical Engineering, Department of Chemical Engineering, Tsinghua University, Beijing 100084, China
| | - Cuiling Hou
- State Key Laboratory of Chemical Engineering, Department of Chemical Engineering, Tsinghua University, Beijing 100084, China
| | - Li-Tang Yan
- State Key Laboratory of Chemical Engineering, Department of Chemical Engineering, Tsinghua University, Beijing 100084, China
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53
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Bommineni PK, Varela-Rosales NR, Klement M, Engel M. Complex Crystals from Size-Disperse Spheres. PHYSICAL REVIEW LETTERS 2019; 122:128005. [PMID: 30978063 DOI: 10.1103/physrevlett.122.128005] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/18/2018] [Indexed: 05/12/2023]
Abstract
Colloids are rarely perfectly uniform but follow a distribution of sizes, shapes, and charges. This dispersity can be inherent (static) or develop and change over time (dynamic). Despite a long history of research, the conditions under which nonuniform particles crystallize and which crystal forms is still not well understood. Here, we demonstrate that hard spheres with Gaussian radius distribution and dispersity up to 19% always crystallize if compressed slowly enough, and they do so in surprisingly complex ways. This result is obtained by accelerating event-driven simulations with particle swap moves for static dispersity and particle resize moves for dynamic dispersity. Above 6% dispersity, AB_{2} Laves, AB_{13}, and a region of Frank-Kasper phases are found. The Frank-Kasper region includes a quasicrystal approximant with Pearson symbol oS276. Our findings are relevant for ordering phenomena in soft matter and alloys.
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Affiliation(s)
- Praveen K Bommineni
- Institute for Multiscale Simulation, Friedrich-Alexander-University Erlangen-Nürnberg, Cauerstrasse 3, 91058 Erlangen, Germany
| | - Nydia Roxana Varela-Rosales
- Institute for Multiscale Simulation, Friedrich-Alexander-University Erlangen-Nürnberg, Cauerstrasse 3, 91058 Erlangen, Germany
| | - Marco Klement
- Institute for Multiscale Simulation, Friedrich-Alexander-University Erlangen-Nürnberg, Cauerstrasse 3, 91058 Erlangen, Germany
| | - Michael Engel
- Institute for Multiscale Simulation, Friedrich-Alexander-University Erlangen-Nürnberg, Cauerstrasse 3, 91058 Erlangen, Germany
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54
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55
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Nagaoka Y, Zhu H, Eggert D, Chen O. Single-component quasicrystalline nanocrystal superlattices through flexible polygon tiling rule. Science 2018; 362:1396-1400. [DOI: 10.1126/science.aav0790] [Citation(s) in RCA: 57] [Impact Index Per Article: 9.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/15/2018] [Accepted: 10/24/2018] [Indexed: 01/02/2023]
Affiliation(s)
- Yasutaka Nagaoka
- Department of Chemistry, Brown University, Providence, RI 02912, USA
| | - Hua Zhu
- Department of Chemistry, Brown University, Providence, RI 02912, USA
| | - Dennis Eggert
- Max Planck Institute for the Structure and Dynamics of Matter, Hamburg 22761, Germany
- Heinrich Pette Institute–Leibniz Institute for Experimental Virology, Hamburg 20251, Germany
| | - Ou Chen
- Department of Chemistry, Brown University, Providence, RI 02912, USA
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56
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Adorf CS, Antonaglia J, Dshemuchadse J, Glotzer SC. Inverse design of simple pair potentials for the self-assembly of complex structures. J Chem Phys 2018; 149:204102. [DOI: 10.1063/1.5063802] [Citation(s) in RCA: 23] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Carl S. Adorf
- Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - James Antonaglia
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - Julia Dshemuchadse
- Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - Sharon C. Glotzer
- Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
- Department of Materials Science and Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA
- Biointerfaces Institute, University of Michigan, Ann Arbor, Michigan 48109, USA
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57
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Holerca MN, Sahoo D, Partridge BE, Peterca M, Zeng X, Ungar G, Percec V. Dendronized Poly(2-oxazoline) Displays within only Five Monomer Repeat Units Liquid Quasicrystal, A15 and σ Frank–Kasper Phases. J Am Chem Soc 2018; 140:16941-16947. [DOI: 10.1021/jacs.8b11103] [Citation(s) in RCA: 38] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Affiliation(s)
- Marian N. Holerca
- Roy & Diana Vagelos Laboratories, Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, United States
| | - Dipankar Sahoo
- Roy & Diana Vagelos Laboratories, Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, United States
| | - Benjamin E. Partridge
- Roy & Diana Vagelos Laboratories, Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, United States
| | - Mihai Peterca
- Roy & Diana Vagelos Laboratories, Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, United States
- Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396, United States
| | - Xiangbing Zeng
- Department of Materials Science and Engineering, University of Sheffield, Sheffield S1 3JD, United Kingdom
| | - Goran Ungar
- Department of Materials Science and Engineering, University of Sheffield, Sheffield S1 3JD, United Kingdom
- State Key
Laboratory
for Mechanical Behavior of Materials, Xi’an Jiaotong University, Xi’an 710049, China
| | - Virgil Percec
- Roy & Diana Vagelos Laboratories, Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, United States
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58
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Inui M, Suekuni K, Kajihara Y, Hosokawa S, Takabatake T, Nakajima Y, Matsuda K, Ohara K, Uchiyama H, Tsutsui S. Static and dynamic structures of liquid Ba 8Ga 16Sn 30: a melt of the thermoelectric clathrate compounds. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2018; 30:455101. [PMID: 30251705 DOI: 10.1088/1361-648x/aae3f3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
X-ray diffraction and inelastic x-ray scattering measurements of liquid Ba8Ga16Sn30 have been carried out to investigate local structure and atomic dynamics in the liquid. The pair distribution function shows shorter and longer interatomic distances in the first coordination shell. The dynamic structure factor exhibits the inelastic excitations on both sides of the quasielastic central peak. The inelastic excitations disperse with increasing the momentum transfer, suggesting the longitudinal acoustic mode. We found a low energy excitation in addition to the longitudinal acoustic excitation in the dynamic structure factor and it reminds us a strong relationship with a rattling motion of a guest (Ba) atom in the solid state. The temperature dependence of the pair distribution function and the longitudinal acoustic excitation energy is very weak in a range from 600 to 900 °C. The result suggests that Ba and other atoms in the melt are located around minimum positions of the effective pair potential approximated as a harmonic one.
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Affiliation(s)
- M Inui
- Graduate School of Integrated Arts and Sciences, Hiroshima University, Higashi-Hiroshima, Hiroshima 7319-8521, Japan
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59
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Gemeinhardt A, Martinsons M, Schmiedeberg M. Growth of two-dimensional dodecagonal colloidal quasicrystals: Particles with isotropic pair interactions with two length scales vs. patchy colloids with preferred binding angles. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2018; 41:126. [PMID: 30338492 DOI: 10.1140/epje/i2018-11737-1] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/09/2018] [Accepted: 09/26/2018] [Indexed: 06/08/2023]
Abstract
We explore the growth of colloidal quasicrystals with dodecagonal symmetry in two dimensions by employing Brownian dynamics simulations. On the one hand, we study the growth behavior of structures obtained in a system of particles that interact according to an isotropic pair potential with two typical length scales. On the other hand, we consider patchy colloids that possess only one typical interaction length scale but prefer given binding angles. In case of the isotropic particles, we show that an imbalance in the competition between the two distances might lead to defects with wrong nearest-neighbor distances in the resulting structure. In contrast, during the growth of quasicrystals with patchy colloids such defects do not occur due to the lack of a second interaction length scale. However, as a downside, the diffusion of patchy particles along a surface typically is slower such that domains occur where the particles possess different phononic and phasonic offsets. Our results are important to understand how soft matter quasicrystals can be grown as perfectly as possible and to obtain a deeper insight into the mechanisms of the growth of quasicrystals in general.
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Affiliation(s)
- Anja Gemeinhardt
- Institut für Theoretische Physik I, Friedrich-Alexander Universität Erlangen-Nürnberg, Staudtstraße 7, 91058, Erlangen, Germany
| | - Miriam Martinsons
- Institut für Theoretische Physik I, Friedrich-Alexander Universität Erlangen-Nürnberg, Staudtstraße 7, 91058, Erlangen, Germany.
| | - Michael Schmiedeberg
- Institut für Theoretische Physik I, Friedrich-Alexander Universität Erlangen-Nürnberg, Staudtstraße 7, 91058, Erlangen, Germany
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60
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Yagasaki T, Matsumoto M, Tanaka H. Phase Diagrams of TIP4P/2005, SPC/E, and TIP5P Water at High Pressure. J Phys Chem B 2018; 122:7718-7725. [DOI: 10.1021/acs.jpcb.8b04441] [Citation(s) in RCA: 24] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Takuma Yagasaki
- Research Institute for Interdisciplinary Science, Okayama University, Okayama 700-8530, Japan
| | - Masakazu Matsumoto
- Research Institute for Interdisciplinary Science, Okayama University, Okayama 700-8530, Japan
| | - Hideki Tanaka
- Research Institute for Interdisciplinary Science, Okayama University, Okayama 700-8530, Japan
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61
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62
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Savitz S, Babadi M, Lifshitz R. Multiple-scale structures: from Faraday waves to soft-matter quasicrystals. IUCRJ 2018; 5:247-268. [PMID: 29755742 PMCID: PMC5929372 DOI: 10.1107/s2052252518001161] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 09/27/2017] [Accepted: 01/18/2018] [Indexed: 06/08/2023]
Abstract
For many years, quasicrystals were observed only as solid-state metallic alloys, yet current research is now actively exploring their formation in a variety of soft materials, including systems of macromolecules, nanoparticles and colloids. Much effort is being invested in understanding the thermodynamic properties of these soft-matter quasicrystals in order to predict and possibly control the structures that form, and hopefully to shed light on the broader yet unresolved general questions of quasicrystal formation and stability. Moreover, the ability to control the self-assembly of soft quasicrystals may contribute to the development of novel photonics or other applications based on self-assembled metamaterials. Here a path is followed, leading to quantitative stability predictions, that starts with a model developed two decades ago to treat the formation of multiple-scale quasiperiodic Faraday waves (standing wave patterns in vibrating fluid surfaces) and which was later mapped onto systems of soft particles, interacting via multiple-scale pair potentials. The article reviews, and substantially expands, the quantitative predictions of these models, while correcting a few discrepancies in earlier calculations, and presents new analytical methods for treating the models. In so doing, a number of new stable quasicrystalline structures are found with octagonal, octadecagonal and higher-order symmetries, some of which may, it is hoped, be observed in future experiments.
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Affiliation(s)
- Samuel Savitz
- Condensed Matter Physics, California Institute of Technology, Pasadena, CA 91125, USA
| | - Mehrtash Babadi
- Condensed Matter Physics, California Institute of Technology, Pasadena, CA 91125, USA
- Broad Institute of MIT and Harvard, Cambridge, MA 02142, USA
| | - Ron Lifshitz
- Condensed Matter Physics, California Institute of Technology, Pasadena, CA 91125, USA
- Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel
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63
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Affiliation(s)
- Matthew Spellings
- Dept. of Chemical Engineering; University of Michigan; Ann Arbor MI 48109
- Biointerfaces Institute; University of Michigan; Ann Arbor MI 48109
| | - Sharon C. Glotzer
- Dept. of Chemical Engineering; University of Michigan; Ann Arbor MI 48109
- Biointerfaces Institute; University of Michigan; Ann Arbor MI 48109
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64
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van der Wel C, van de Stolpe GL, Verweij RW, Kraft DJ. Micrometer-sized TPM emulsion droplets with surface-mobile binding groups. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2018; 30:094005. [PMID: 29376836 DOI: 10.1088/1361-648x/aaab22] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Colloids coated with lipid membranes have been widely employed for fundamental studies of lipid membrane processes, biotechnological applications such as drug delivery and biosensing, and more recently, for self-assembly. The latter has been made possible by inserting DNA oligomers with covalently linked hydrophobic anchors into the membrane. The lateral mobility of the DNA linkers on micrometer-sized droplets and solid particles has opened the door to creating structures with unprecedented structural flexibility. Here, we investigate micro-emulsions of TPM (3-(trimethoxysilyl)propyl methacrylate) as a platform for lipid monolayers and further functionalization with proteins and DNA oligonucleotides. TPM droplets can be produced with a narrow size distribution and are polymerizable, thus providing supports for model lipid membranes with controlled size and curvature. With fluorescence recovery after photobleaching, we observed that droplet-attached lipids, NeutrAvidin proteins, as well as DNA oligonucleotides all show mobility on the surface. We explored the assembly of micron-sized particles on TPM-droplets by exploiting either avidin-biotin interactions or double-stranded DNA with complementary single-stranded end groups. While the single molecules are mobile, the particles that are attached to them are not. We propose that this is caused by the heterogeneous nature of emulsified TPM, which forms an oligomer network that limits the collective motion of linkers, but allows the surface mobility of individual molecules.
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Affiliation(s)
- Casper van der Wel
- Soft Matter Physics, Huygens-Kamerlingh Onnes Laboratory, Leiden University, PO Box 9504, 2300 RA Leiden, Netherlands
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65
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Zu M, Tan P, Xu N. Forming quasicrystals by monodisperse soft core particles. Nat Commun 2017; 8:2089. [PMID: 29234039 PMCID: PMC5727032 DOI: 10.1038/s41467-017-02316-3] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/17/2017] [Accepted: 11/20/2017] [Indexed: 12/03/2022] Open
Abstract
In traditional approaches to form quasicrystals, multiple competing length scales involved in particle size, shape, or interaction potential are believed to be necessary. It is unexpected that quasicrystals can be formed by monodisperse, isotropic particles interacting via a simple potential that does not contain explicit multiple length scales to stabilize quasicrystals. Here, we report the surprising finding of the formation of such quasicrystals in high-density systems of soft-core particles. Although there are length scales naturally introduced in our model systems, they do not establish the quasicrystalline order. In two dimensions, we find not only dodecagonal but also octagonal quasicrystals, which have not been found yet in soft quasicrystals. In such unexpected quasicrystals, particles tend to form pentagons, which are essential elements to develop the quasicrystalline order. Our findings thus pave an unexpected and simple way to form quasicrystals and pose a challenge for theoretical understanding of quasicrystals. Quasicrystals with structural symmetries forbidden in crystals have been found in alloys or mono-component systems composed of anisotropic units. Zu et al. show a formation of two-dimensional quasicrystals in an isotropic soft solid with a spring-like potential, which challenges the existing theory.
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Affiliation(s)
- Mengjie Zu
- CAS Key Laboratory of Soft Matter Chemistry, Hefei National Laboratory for Physical Sciences at the Microscale, and Department of Physics, University of Science and Technology of China, Hefei, 230026, People's Republic of China
| | - Peng Tan
- State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai, 200433, People's Republic of China
| | - Ning Xu
- CAS Key Laboratory of Soft Matter Chemistry, Hefei National Laboratory for Physical Sciences at the Microscale, and Department of Physics, University of Science and Technology of China, Hefei, 230026, People's Republic of China.
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66
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Lin H, Lee S, Sun L, Spellings M, Engel M, Glotzer SC, Mirkin CA. Clathrate colloidal crystals. Science 2017; 355:931-935. [PMID: 28254936 DOI: 10.1126/science.aal3919] [Citation(s) in RCA: 141] [Impact Index Per Article: 20.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/11/2016] [Accepted: 01/13/2017] [Indexed: 12/30/2022]
Abstract
DNA-programmable assembly has been used to deliberately synthesize hundreds of different colloidal crystals spanning dozens of symmetries, but the complexity of the achieved structures has so far been limited to small unit cells. We assembled DNA-modified triangular bipyramids (~250-nanometer long edge, 177-nanometer short edge) into clathrate architectures. Electron microscopy images revealed that at least three different structures form as large single-domain architectures or as multidomain materials. Ordered assemblies, isostructural to clathrates, were identified with the help of molecular simulations and geometric analysis. These structures are the most sophisticated architectures made via programmable assembly, and their formation can be understood based on the shape of the nanoparticle building blocks and mode of DNA functionalization.
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Affiliation(s)
- Haixin Lin
- Department of Chemistry, Northwestern University, Evanston, IL 60208, USA.,International Institute for Nanotechnology, Northwestern University, Evanston, IL 60208, USA
| | - Sangmin Lee
- Department of Chemical Engineering, University of Michigan, Ann Arbor, MI 48109, USA
| | - Lin Sun
- International Institute for Nanotechnology, Northwestern University, Evanston, IL 60208, USA.,Department of Materials Science and Engineering, Northwestern University, Evanston, IL 60208, USA
| | - Matthew Spellings
- Department of Chemical Engineering, University of Michigan, Ann Arbor, MI 48109, USA
| | - Michael Engel
- Institute for Multiscale Simulation, Friedrich-Alexander University Erlangen-Nürnberg, 91058 Erlangen, Germany
| | - Sharon C Glotzer
- Department of Chemical Engineering, University of Michigan, Ann Arbor, MI 48109, USA. .,Department of Materials Science and Engineering, University of Michigan, Ann Arbor, MI 48109, USA.,Biointerfaces Institute, University of Michigan, Ann Arbor, MI 48109, USA
| | - Chad A Mirkin
- Department of Chemistry, Northwestern University, Evanston, IL 60208, USA. .,International Institute for Nanotechnology, Northwestern University, Evanston, IL 60208, USA.,Department of Materials Science and Engineering, Northwestern University, Evanston, IL 60208, USA
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67
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Pattabhiraman H, Avvisati G, Dijkstra M. Novel Pyrochlorelike Crystal with a Photonic Band Gap Self-Assembled Using Colloids with a Simple Interaction Potential. PHYSICAL REVIEW LETTERS 2017; 119:157401. [PMID: 29077450 DOI: 10.1103/physrevlett.119.157401] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/11/2017] [Indexed: 06/07/2023]
Abstract
Using computer simulations, we investigate the phase behavior of a system of particles interacting with a remarkably simple repulsive square-shoulder pair potential and report the formation of a novel (and stable) pyrochlorelike crystal phase. The lattice structure of the pyrochlorelike phase formed in our simulations possesses two inherent length scales corresponding to the inter- and intratetrahedral neighbors. We show that it can be used to fabricate a photonic crystal which displays complete photonic band gaps in both the direct and inverted dielectric structures.
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Affiliation(s)
- Harini Pattabhiraman
- Soft Condensed Matter, Debye Institute for Nanomaterials Science, Department of Physics, Utrecht University, Princetonplein 5, 3584 CC Utrecht, Netherlands
| | - Guido Avvisati
- Soft Condensed Matter, Debye Institute for Nanomaterials Science, Department of Physics, Utrecht University, Princetonplein 5, 3584 CC Utrecht, Netherlands
| | - Marjolein Dijkstra
- Soft Condensed Matter, Debye Institute for Nanomaterials Science, Department of Physics, Utrecht University, Princetonplein 5, 3584 CC Utrecht, Netherlands
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68
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Yu S, Cho H, Hong JP, Park H, Jolly JC, Kang HS, Lee JH, Kim J, Lee SH, Lee AS, Hong SM, Park C, Yang S, Koo CM. Shaping micro-clusters via inverse jamming and topographic close-packing of microbombs. Nat Commun 2017; 8:721. [PMID: 28959006 PMCID: PMC5620065 DOI: 10.1038/s41467-017-00538-z] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/07/2017] [Accepted: 07/07/2017] [Indexed: 11/09/2022] Open
Abstract
Designing topographic clusters is of significant interest, yet it remains challenging as they often lack mobility or deformability. Here we exploit the huge volumetric expansion (up to 3000%) of a new type of building block, thermally expandable microbombs. They consist of a viscoelastic polymeric shell and a volatile gas core, which, within structural confinement, create micro-clusters via inverse jamming and topographical close-packing. Upon heating, microbombs anchored in rigid confinement underwent balloon-like blowing up, allowing for dense clusters via soft interplay between viscoelastic shells. Importantly, the confinement is unyielding against the internal pressure of the microbombs, thereby enabling self-assembled clusters, which can be coupled with topographic inscription to introduce structural hierarchy on the clusters. Our strategy provides densely packed yet ultralight clusters with a variety of complex shapes, cleavages, curvatures, and hierarchy. In turn, these clusters will enrich our ability to explore the assemblies of the ever-increasing range of microparticle systems. Self-assembled systems are normally composed of incompressible building blocks, which constrain their space filling efficiency. Yu et al. show programmable, densely packed clusters using thermally expandable soft microparticles, whereby the self-assembling process is realized via a jamming transition.
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Affiliation(s)
- Seunggun Yu
- Materials Architecturing Research Center, Korea Institute of Science and Technology, Seoul, 136-791, Republic of Korea.,Department of Materials Science and Engineering, Yonsei University, Seoul, 120-749, Republic of Korea
| | - Hyesung Cho
- Materials Architecturing Research Center, Korea Institute of Science and Technology, Seoul, 136-791, Republic of Korea.,Department of Materials Science and Engineering, University of Pennsylvania, 3231 Walnut Street, Philadelphia, PA, 19104, USA
| | - Jun Pyo Hong
- Materials Architecturing Research Center, Korea Institute of Science and Technology, Seoul, 136-791, Republic of Korea
| | - Hyunchul Park
- Materials Architecturing Research Center, Korea Institute of Science and Technology, Seoul, 136-791, Republic of Korea
| | - Jason Christopher Jolly
- Department of Materials Science and Engineering, University of Pennsylvania, 3231 Walnut Street, Philadelphia, PA, 19104, USA
| | - Hong Suk Kang
- Department of Materials Science and Engineering, University of Pennsylvania, 3231 Walnut Street, Philadelphia, PA, 19104, USA
| | - Jin Hong Lee
- Materials Architecturing Research Center, Korea Institute of Science and Technology, Seoul, 136-791, Republic of Korea
| | - Junsoo Kim
- 3D New Devices Research Section, Electronics and Telecommunications Research Institute, Daejeon, 305-700, Republic of Korea
| | - Seung Hwan Lee
- Materials Architecturing Research Center, Korea Institute of Science and Technology, Seoul, 136-791, Republic of Korea
| | - Albert S Lee
- Materials Architecturing Research Center, Korea Institute of Science and Technology, Seoul, 136-791, Republic of Korea
| | - Soon Man Hong
- Materials Architecturing Research Center, Korea Institute of Science and Technology, Seoul, 136-791, Republic of Korea.,Nanomaterials Science and Engineering, University of Science and Technology, Daejeon, 305-350, Republic of Korea
| | - Cheolmin Park
- Department of Materials Science and Engineering, Yonsei University, Seoul, 120-749, Republic of Korea
| | - Shu Yang
- Department of Materials Science and Engineering, University of Pennsylvania, 3231 Walnut Street, Philadelphia, PA, 19104, USA.
| | - Chong Min Koo
- Materials Architecturing Research Center, Korea Institute of Science and Technology, Seoul, 136-791, Republic of Korea. .,Nanomaterials Science and Engineering, University of Science and Technology, Daejeon, 305-350, Republic of Korea. .,KU-KIST Graduate School of Converging Science and Technology, Korea University, Seoul, 02841, Republic of Korea.
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69
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Levashov VA. Crystalline structures of particles interacting through the harmonic-repulsive pair potential. J Chem Phys 2017; 147:114503. [DOI: 10.1063/1.5002536] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022] Open
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70
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García NA, Gnan N, Zaccarelli E. Effective potentials induced by self-assembly of patchy particles. SOFT MATTER 2017; 13:6051-6058. [PMID: 28829478 PMCID: PMC5892706 DOI: 10.1039/c7sm01293d] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Effective colloid-colloid interactions can be tailored through the addition of a complex cosolute. Here we investigate the case of a cosolute made by self-assembling patchy particles. Depending on the valence, these particles can form either polymer chains or branched structures. We numerically calculate the effective potential Veff between two colloids immersed in a suspension of reversible patchy particles, exploring a wide region of the cosolute phase diagram and the role of valence. In addition to well-known excluded volume and depletion effects, we find that, under appropriate conditions, Veff is completely attractive but shows an oscillatory character. In the case of polymerizing cosolute, this results from the fact that chains are efficiently confined by the colloids through the onset of local order. This argument is then generalized to the case of particles with higher valence, under the condition that they are still able to maintain a fully bonded organization upon confinement. The resulting effective potentials are relevant for understanding the behavior of complex mixtures in crowded environments, but may also be exploited for tuning colloidal self-assembly at preferred target distances in order to build desired superstructures.
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71
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Ryltsev R, Chtchelkatchev N. Universal self-assembly of one-component three-dimensional dodecagonal quasicrystals. SOFT MATTER 2017; 13:5076-5082. [PMID: 28657094 DOI: 10.1039/c7sm00883j] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Using molecular dynamics simulations, we study computational self-assembly of one-component three-dimensional dodecagonal (12-fold) quasicrystals in systems with two-length-scale potentials. Existing criteria for three-dimensional quasicrystal formation are quite complicated and rather inconvenient for particle simulations. So to localize numerically the quasicrystal phase, one should usually simulate over a wide range of system parameters. We show how to universally localize the parameter values at which dodecagonal quasicrystal order may appear for a given particle system. For that purpose, we use a criterion recently proposed for predicting decagonal quasicrystal formation in one-component two-length-scale systems. The criterion is based on two dimensionless effective parameters describing the fluid structure which are extracted from the radial distribution function. The proposed method allows reduction of the time spent for searching the parameters favoring a certain solid structure for a given system. We show that the method works well for dodecagonal quasicrystals; this result is verified on four systems with different potentials: the Dzugutov potential, the oscillating potential which mimics metal interactions, the repulsive shoulder potential describing effective interactions for the core/shell model of colloids and the embedded-atom model potential for aluminum. Our results suggest that the mechanism of dodecagonal quasicrystal formation is universal for both metallic and soft-matter systems and it is based on competition between interparticle scales.
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Affiliation(s)
- Roman Ryltsev
- Institute of Metallurgy, UB RAS, 101 Amundsen str., 620016, Ekaterinburg, Russia. and Ural Federal University, 19 Mira str., 620002, Ekaterinburg, Russia
| | - Nikolay Chtchelkatchev
- L.D. Landau Institute for Theoretical Physics, RAS, Ac. Semenov 1-A, 142432, Chernogolovka, Russia and All-Russia Research Institute of Automatics, 22 Suschevskaya, Moscow 127055, Russia and Moscow Institute of Physics and Technology, Institutskiy per. 9, Dolgoprudny, 141700, Moscow Region, Russia and Institute for High Pressure Physics, Russian Academy of Sciences, 108840, Moscow (Troitsk), Russia
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72
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Konevtsova OV, Pimonov VV, Lorman VL, Rochal SB. Quasicrystalline and crystalline types of local protein order in capsids of small viruses. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2017; 29:284002. [PMID: 28488589 DOI: 10.1088/1361-648x/aa7211] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Like metal alloys and micellar systems in soft matter, the viral capsid structures can be of crystalline and quasicrystalline types. We reveal the local quasicrystalline order of proteins in small spherical viral capsids using their nets of dodecahedral type. We show that the structure of some of the viral shells is well described in terms of a chiral pentagonal tiling, whose nodes coincide with centers of mass of protein molecules. The chiral protein packing found in these capsids originates from the pentagonal Penrose tiling (PPT), due to a specific phason reconstruction needed to fit the protein order at the adjacent dodecahedron faces. Via examples of small spherical viral shells and geminate capsid of a Maize Streak virus, we discuss the benefits and shortcomings of the usage of a dodecahedral net in comparison to icosahedral one, which is commonly applied for the modeling of viral shells with a crystalline local order.
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Affiliation(s)
- O V Konevtsova
- Faculty of Physics, Southern Federal University, 5 Zorge Str., 344090 Rostov-on-Don, Russia
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73
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Pattabhiraman H, Dijkstra M. On the formation of stripe, sigma, and honeycomb phases in a core-corona system. SOFT MATTER 2017; 13:4418-4432. [PMID: 28417127 DOI: 10.1039/c7sm00254h] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Using Monte Carlo simulations and free-energy calculations, we investigate the phase behaviour of a two-dimensional core-corona system. We model this system as particles consisting of an impenetrable hard core of diameter σHD surrounded by a purely repulsive soft corona of diameter δ = 1.95σHD. At low densities, we observe the spontaneous formation of a phase with a stripe texture as well as a honeycomb-like phase driven by both energy and entropy considerations. At high densities, we find that a two-dimensional analogue of the periodic sigma phase, considered as an approximant of dodecagonal quasicrystals, is energetically stabilised with respect to two distinct dodecagonal quasicrystals, namely, a square-triangle tiling and a square-triangle-shield tiling. We also find the formation of stable hexagonal phases at three distinct density ranges, which are energetically driven, i.e. by minimising the overlap of coronas. Furthermore, our calculations show that the low-density dodecagonal quasicrystal that was previously reported by Dotera et al., [Nature, 2014, 506, 208] is kinetically formed in the coexistence region between the honeycomb and the medium-density hexagonal phase.
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Affiliation(s)
- Harini Pattabhiraman
- Soft Condensed Matter, Debye Institute for Nanomaterials Science, Department of Physics, Utrecht University, Princetonplein 5, 3584 CC, Utrecht, The Netherlands.
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74
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Damasceno PF, Glotzer SC, Engel M. Non-close-packed three-dimensional quasicrystals. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2017; 29:234005. [PMID: 28401877 DOI: 10.1088/1361-648x/aa6cc1] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Quasicrystals are frequently encountered in condensed matter. They are important candidates for equilibrium phases from the atomic scale to the nanoscale. Here, we investigate the computational self-assembly of four quasicrystals in a single model system of identical particles interacting with a tunable isotropic pair potential. We reproduce a known icosahedral quasicrystal and report a decagonal quasicrystal, a dodecagonal quasicrystal, and an octagonal quasicrystal. The quasicrystals have low coordination number or occur in systems with mesoscale density variations. We also report a network gel phase.
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Affiliation(s)
- Pablo F Damasceno
- Applied Physics Program, University of Michigan, Ann Arbor, MI 48109, United States of America. Department of Cellular and Molecular Pharmacology, University of California San Francisco, San Francisco, CA 94158, United States of America
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75
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Pattabhiraman H, Dijkstra M. Phase behaviour of quasicrystal forming systems of core-corona particles. J Chem Phys 2017; 146:114901. [DOI: 10.1063/1.4977934] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Harini Pattabhiraman
- Soft Condensed Matter, Debye Institute for Nanomaterials Science, Department of
Physics, Utrecht University, Princetonplein 5, 3584 CC Utrecht,
The Netherlands
| | - Marjolein Dijkstra
- Soft Condensed Matter, Debye Institute for Nanomaterials Science, Department of
Physics, Utrecht University, Princetonplein 5, 3584 CC Utrecht,
The Netherlands
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76
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Pattabhiraman H, Dijkstra M. The effect of temperature, interaction range, and pair potential on the formation of dodecagonal quasicrystals in core-corona systems. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2017; 29:094003. [PMID: 28001131 DOI: 10.1088/1361-648x/aa5530] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
A two-dimensional dodecagonal quasicrystal was previously reported by Dotera et al (2014 Nature 506 208) in a system of particles interacting with a hard core of diameter σ and a repulsive square shoulder of diameter [Formula: see text]. In the current work, we examine the formation of this quasicrystal using bond orientational order parameters, correlation functions and tiling distributions. We find that this dodecagonal quasicrystal forms from a fluid phase. We further study the effect of the width of the repulsive shoulder by simulating the system over a range of values of δ. For the range of densities and temperatures considered, we observe the formation of the dodecagonal quasicrystal between [Formula: see text] and [Formula: see text]. We also study the effect of shape of the interaction potential by simulating the system using three other interaction potentials with two length scales, namely hard-core plus a linear ramp, modified exponential, or Buckingham (exp-6) potential. We observe the presence of the quasicrystal in all three systems. However, depending on the shape of the potential, the formation of the quasicrystal takes place at lower temperatures (or higher interaction strengths). Using free-energy calculations, we demonstrate that the quasicrystal is thermodynamically stable in the square-shoulder and linear-ramp system.
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Affiliation(s)
- Harini Pattabhiraman
- Soft Condensed Matter, Debye Institute for Nanomaterials Science, Department of Physics, Utrecht University, Princetonplein 5, 3584 CC, Utrecht, The Netherlands
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77
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Ye X, Chen J, Eric Irrgang M, Engel M, Dong A, Glotzer SC, Murray CB. Quasicrystalline nanocrystal superlattice with partial matching rules. NATURE MATERIALS 2017; 16:214-219. [PMID: 27669053 DOI: 10.1038/nmat4759] [Citation(s) in RCA: 80] [Impact Index Per Article: 11.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/13/2016] [Accepted: 08/26/2016] [Indexed: 06/06/2023]
Abstract
Expanding the library of self-assembled superstructures provides insight into the behaviour of atomic crystals and supports the development of materials with mesoscale order. Here we build on recent findings of soft matter quasicrystals and report a quasicrystalline binary nanocrystal superlattice that exhibits correlations in the form of partial matching rules reducing tiling disorder. We determine a three-dimensional structure model through electron tomography and direct imaging of surface topography. The 12-fold rotational symmetry of the quasicrystal is broken in sublayers, forming a random tiling of rectangles, large triangles and small triangles with 6-fold symmetry. We analyse the geometry of the experimental tiling and discuss factors relevant for the stabilization of the quasicrystal. Our joint experimental-computational study demonstrates the power of nanocrystal superlattice engineering and further narrows the gap between the richness of crystal structures found with atoms and in soft matter assemblies.
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Affiliation(s)
- Xingchen Ye
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
| | - Jun Chen
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
- Department of Materials Science and Engineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
| | - M Eric Irrgang
- Department of Materials Science and Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA
- Biointerfaces Institute, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - Michael Engel
- Biointerfaces Institute, University of Michigan, Ann Arbor, Michigan 48109, USA
- Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - Angang Dong
- Department of Chemistry and Collaborative Innovation Center of Chemistry for Energy Materials, Fudan University, Shanghai 200433, China
| | - Sharon C Glotzer
- Department of Materials Science and Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA
- Biointerfaces Institute, University of Michigan, Ann Arbor, Michigan 48109, USA
- Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - Christopher B Murray
- Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
- Department of Materials Science and Engineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
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78
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Reinhardt A, Schreck JS, Romano F, Doye JPK. Self-assembly of two-dimensional binary quasicrystals: a possible route to a DNA quasicrystal. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2017; 29:014006. [PMID: 27830657 DOI: 10.1088/0953-8984/29/1/014006] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
We use Monte Carlo simulations and free-energy techniques to show that binary solutions of penta- and hexavalent two-dimensional patchy particles can form thermodynamically stable quasicrystals even at very narrow patch widths, provided their patch interactions are chosen in an appropriate way. Such patchy particles can be thought of as a coarse-grained representation of DNA multi-arm 'star' motifs, which can be chosen to bond with one another very specifically by tuning the DNA sequences of the protruding arms. We explore several possible design strategies and conclude that DNA star tiles that are designed to interact with one another in a specific but not overly constrained way could potentially be used to construct soft quasicrystals in experiment. We verify that such star tiles can form stable dodecagonal motifs using oxDNA, a realistic coarse-grained model of DNA.
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Affiliation(s)
- Aleks Reinhardt
- Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge, CB2 1EW, UK
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79
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Ho MS, Partridge BE, Sun HJ, Sahoo D, Leowanawat P, Peterca M, Graf R, Spiess HW, Zeng X, Ungar G, Heiney PA, Hsu CS, Percec V. Screening Libraries of Semifluorinated Arylene Bisimides to Discover and Predict Thermodynamically Controlled Helical Crystallization. ACS COMBINATORIAL SCIENCE 2016; 18:723-739. [PMID: 27797481 DOI: 10.1021/acscombsci.6b00143] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/07/2023]
Abstract
Synthesis, structural, and retrostructural analysis of a library containing 16 self-assembling perylene (PBI), 1,6,7,12-tetrachloroperylene (Cl4PBI), naphthalene (NBI), and pyromellitic (PMBI) bisimides functionalized with environmentally friendly AB3 chiral racemic semifluorinated minidendrons at their imide groups via m = 0, 1, 2, and 3 methylene units is reported. These semifluorinated compounds melt at lower temperatures than homologous hydrogenated compounds, permitting screening of all their thermotropic phases via structural analysis to discover thermodynamically controlled helical crystallization from propeller-like, cogwheel, and tilted molecules as well as lamellar-like structures. Thermodynamically controlled helical crystallization was discovered for propeller-like PBI, Cl4PBI and NBI with m = 0. Unexpectedly, assemblies of twisted Cl4PBIs exhibit higher order than those of planar PBIs. PBI with m = 1, 2, and 3 form a thermodynamically controlled columnar hexagonal 2D lattice of tilted helical columns with intracolumnar order. PBI and Cl4PBI with m = 1 crystallize via a recently discovered helical cogwheel mechanism, while NBI and PMBI with m = 1 form tilted helical columns. PBI, NBI and PMBI with m = 2 generate lamellar-like structures. 3D and 2D assemblies of PBI with m = 1, 2, and 3, NBI with m = 1 and PMBI with m = 2 exhibit 3.4 Å π-π stacking. The library approach applied here and in previous work enabled the discovery of six assemblies which self-organize via thermodynamic control into 3D and 2D periodic arrays, and provides molecular principles to predict the supramolecular structure of electronically active components.
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Affiliation(s)
- Ming-Shou Ho
- Roy & Diana Vagelos Laboratories, Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, United States
| | - Benjamin E. Partridge
- Roy & Diana Vagelos Laboratories, Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, United States
| | - Hao-Jan Sun
- Roy & Diana Vagelos Laboratories, Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, United States
| | - Dipankar Sahoo
- Roy & Diana Vagelos Laboratories, Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, United States
| | - Pawaret Leowanawat
- Roy & Diana Vagelos Laboratories, Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, United States
| | - Mihai Peterca
- Roy & Diana Vagelos Laboratories, Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, United States
- Department
of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396, United States
| | - Robert Graf
- Max-Planck Institute for Polymer Research, 55128 Mainz, Germany
| | - Hans W. Spiess
- Max-Planck Institute for Polymer Research, 55128 Mainz, Germany
| | - Xiangbing Zeng
- Department
of Materials Science and Engineering, University of Sheffield, Sheffield S1 3JD, United Kingdom
| | - Goran Ungar
- Department
of Materials Science and Engineering, University of Sheffield, Sheffield S1 3JD, United Kingdom
- Department
of Physics, Zhejiang Sci-Tech University, Hangzhou 3110018, China
| | - Paul A. Heiney
- Department
of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396, United States
| | - Chain-Shu Hsu
- Department
of Applied Chemistry, National Chiao Tung University, 1001 Ta Hsueh
Road, Hsin-Chu 30049, Taiwan
| | - Virgil Percec
- Roy & Diana Vagelos Laboratories, Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, United States
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80
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Wolny J, Buganski I, Kuczera P, Strzalka R. Pushing the limits of crystallography. J Appl Crystallogr 2016; 49:2106-2115. [PMID: 27980514 PMCID: PMC5139996 DOI: 10.1107/s160057671601637x] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/17/2016] [Accepted: 10/14/2016] [Indexed: 11/25/2022] Open
Abstract
A very serious concern of scientists dealing with crystal structure refinement, including theoretical research, pertains to the characteristic bias in calculated versus measured diffraction intensities, observed particularly in the weak reflection regime. This bias is here attributed to corrective factors for phonons and, even more distinctly, phasons, and credible proof supporting this assumption is given. The lack of a consistent theory of phasons in quasicrystals significantly contributes to this characteristic bias. It is shown that the most commonly used exponential Debye-Waller factor for phasons fails in the case of quasicrystals, and a novel method of calculating the correction factor within a statistical approach is proposed. The results obtained for model quasiperiodic systems show that phasonic perturbations can be successfully described and refinement fits of high quality are achievable. The standard Debye-Waller factor for phonons works equally well for periodic and quasiperiodic crystals, and it is only in the last steps of a refinement that different correction functions need to be applied to improve the fit quality.
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Affiliation(s)
- Janusz Wolny
- Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Krakow, Poland
| | - Ireneusz Buganski
- Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Krakow, Poland
| | - Pawel Kuczera
- Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Krakow, Poland
| | - Radoslaw Strzalka
- Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Krakow, Poland
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81
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Peterca M, Imam MR, Hudson SD, Partridge BE, Sahoo D, Heiney PA, Klein ML, Percec V. Complex Arrangement of Orthogonal Nanoscale Columns via a Supramolecular Orientational Memory Effect. ACS NANO 2016; 10:10480-10488. [PMID: 27934071 PMCID: PMC5292035 DOI: 10.1021/acsnano.6b06419] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/14/2023]
Abstract
Memory effects, including shape, chirality, and liquid-crystallinity, have enabled macroscopic materials with novel functions. However, the generation of complex supramolecular nanosystems via memory effects has not yet been investigated. Here, we report a cyclotriveratrylene-crown (CTV) compound that self-assembles into supramolecular columns and spheres forming, respectively, hexagonal and cubic mesophases. Upon transition from one phase to the other, an epitaxial relationship holds, via an unprecedented supramolecular orientational memory effect. Specifically, the molecular orientation and columnar character of supramolecular packing is preserved in the cubic phase, providing an otherwise inaccessible structure comprising orthogonally oriented domains of supramolecular columns. The continuous columnar character of tetrahedrally distorted supramolecular spheres self-organized from the CTV derivative in the faces of the Pm3̅n lattice is the basis of this supramolecular orientational memory, which holds throughout cycling in temperature between the two phases. This concept is expected to be general for other combinations of periodic and quasiperiodic arrays generated from supramolecular spheres upon transition to supramolecular columns.
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Affiliation(s)
- Mihai Peterca
- Roy & Diana Vagelos Laboratories, Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, United States
- Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396, United States
| | - Mohammad R. Imam
- Roy & Diana Vagelos Laboratories, Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, United States
| | - Steven D. Hudson
- National Institute of Standards and Technology, Gaithersburg, MD 20899-8544, United States
| | - Benjamin E. Partridge
- Roy & Diana Vagelos Laboratories, Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, United States
| | - Dipankar Sahoo
- Roy & Diana Vagelos Laboratories, Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, United States
- Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396, United States
| | - Paul A. Heiney
- Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396, United States
| | - Michael L. Klein
- Institute of Computational Molecular Science, Temple University, Philadelphia, PA 19122
| | - Virgil Percec
- Roy & Diana Vagelos Laboratories, Department of Chemistry, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, United States
- Corresponding Author.
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82
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Metere A, Oleynikov P, Dzugutov M, Lidin S. A smectic dodecagonal quasicrystal. SOFT MATTER 2016; 12:8869-8875. [PMID: 27722432 DOI: 10.1039/c6sm01832g] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
We report a solid smectic phase that exhibits dodecagonal global order. It is composed of axially stacked hexagonally ordered particle layers, and its 12-fold rotational symmetry induced by the 30° rotation of adjacent layers with respect to each other. A quasicrystal was produced in a molecular-dynamics simulation of a single-component system of particles interacting via a spherically-symmetric potential. It was formed as a result of a first-order phase transition from an isotropic liquid state that occurred under constant-density cooling. This finding implies that a similarly structured quasicrystal can possibly be produced by the same class of systems as those forming smectic-B crystals. This quasicrystal can also be expected to arise in a system of spherically-shaped colloidal particles with appropriately tuned potential.
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Affiliation(s)
- Alfredo Metere
- Physical and Life Sciences Directorate, Computational Materials Science in the Condensed Matter and Materials Division, Lawrence Livermore National Laboratory, 7000 East Avenue L-367, Livermore, CA - 94550, USA.
| | - Peter Oleynikov
- Department of Materials and Environmental Chemistry, Stockholm University, Arrhenius Väg. 16C, S-10691 Stockholm, Sweden
| | - Mikhail Dzugutov
- Department of Mathematics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden
| | - Sven Lidin
- Division of Polymer & Materials Chemistry Lund University, SE-221 00 Lund, Sweden
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83
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Schoberth HG, Emmerich H, Holzinger M, Dulle M, Förster S, Gruhn T. Molecular dynamics study of colloidal quasicrystals. SOFT MATTER 2016; 12:7644-7654. [PMID: 27535210 DOI: 10.1039/c6sm01454b] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
Colloidal quasicrystals have received increased interest recently due to new insight in exploring their potential for photonic materials as well as for optical devices [Vardeny et al., Nat. Photonics, 2013, 7, 177]. Colloidal quasicrystals in aqueous solutions have been found in systems of micelles with impenetrable cores [Fischer et al., Proc. Natl. Acad. Sci. U. S. A., 2011, 108, 1810]. A simple model potential for micelle-micelle interaction is the step potential, which is infinite for core overlaps and constant for shell overlaps. Dotera et al. performed Monte Carlo simulations of the step potential model and found quasicrystals for specific values of the packing fraction η and the shell-core ratio λ [Dotera et al., Nature, 2014, 506, 208 ]. However, the overlap of real micelles causes repulsive forces, which increase with decreasing core distance. We consider this by introducing a novel model potential with repulsive forces depending on a third parameter α. In a systematic manner we study this more realistic potential with two-dimensional molecular dynamics simulations. For α = 0 the model is similar to the step potential model. For the first time, we provide a comprehensive overview of crystalline, quasicrystalline, and disordered structures as a function of η and λ. Simulations performed with α > 0 show the impact of the repulsive forces. We find that quasicrystalline structures at high densities vanish while new quasicrystalline structures appear at intermediate densities. Our results help to tailor colloidal systems for today's advanced applications in photonics and optical devices.
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Affiliation(s)
- Heiko G Schoberth
- Materials & Process Simulation, University of Bayreuth, Universitätsstr. 30, D-95447 Bayreuth, Germany.
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84
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Subramanian P, Archer AJ, Knobloch E, Rucklidge AM. Three-Dimensional Icosahedral Phase Field Quasicrystal. PHYSICAL REVIEW LETTERS 2016; 117:075501. [PMID: 27563973 DOI: 10.1103/physrevlett.117.075501] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/19/2016] [Indexed: 06/06/2023]
Abstract
We investigate the formation and stability of icosahedral quasicrystalline structures using a dynamic phase field crystal model. Nonlinear interactions between density waves at two length scales stabilize three-dimensional quasicrystals. We determine the phase diagram and parameter values required for the quasicrystal to be the global minimum free energy state. We demonstrate that traits that promote the formation of two-dimensional quasicrystals are extant in three dimensions, and highlight the characteristics required for three-dimensional soft matter quasicrystal formation.
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Affiliation(s)
- P Subramanian
- Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom
| | - A J Archer
- Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, United Kingdom
| | - E Knobloch
- Department of Physics, University of California at Berkeley, Berkeley, California 94720, USA
| | - A M Rucklidge
- Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom
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85
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Huang Z, Chen P, Yang Y, Yan LT. Shearing Janus Nanoparticles Confined in Two-Dimensional Space: Reshaped Cluster Configurations and Defined Assembling Kinetics. J Phys Chem Lett 2016; 7:1966-1971. [PMID: 27164289 DOI: 10.1021/acs.jpclett.6b00724] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
The self-assembly of anisotropic nanoparticles (ANPs) possesses a wide array of potential applications in various fields, ranging from nanotechnology to material science. Despite intense research of the thermodynamic self-assembly of ANPs, elucidating their nonequilibrium behaviors under confinement still remains an urgent issue. Here, by performing simulation and theoretical justification, we present for the first time a study of the shear-induced behaviors of Janus spheres (the most elementary ANPs) confined in two-dimensional space. Our results demonstrate that the collective effects of shear and bonding structures can give rise to reshaped cluster configurations, featured by the chiral transition of clusters. Scaling analysis and numerical modeling are performed to quantitatively capture the assembling kinetics of dispersed Janus spheres, thereby suggesting an exotic way to bridge the gap between anisotropic and isotropic particles. The findings highlight confinement and shearing engineering as a versatile strategy to tailor the superstructures formed by ANPs toward unique properties.
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Affiliation(s)
- Zihan Huang
- Key Laboratory of Advanced Materials (MOE), Department of Chemical Engineering, Tsinghua University , Beijing 100084, P. R. China
| | - Pengyu Chen
- Key Laboratory of Advanced Materials (MOE), Department of Chemical Engineering, Tsinghua University , Beijing 100084, P. R. China
| | - Ye Yang
- Key Laboratory of Advanced Materials (MOE), Department of Chemical Engineering, Tsinghua University , Beijing 100084, P. R. China
| | - Li-Tang Yan
- Key Laboratory of Advanced Materials (MOE), Department of Chemical Engineering, Tsinghua University , Beijing 100084, P. R. China
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86
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Chanpuriya S, Kim K, Zhang J, Lee S, Arora A, Dorfman KD, Delaney KT, Fredrickson GH, Bates FS. Cornucopia of Nanoscale Ordered Phases in Sphere-Forming Tetrablock Terpolymers. ACS NANO 2016; 10:4961-72. [PMID: 27055118 DOI: 10.1021/acsnano.6b00495] [Citation(s) in RCA: 62] [Impact Index Per Article: 7.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/12/2023]
Abstract
We report the phase behavior of a series of poly(styrene)-b-poly(isoprene)-b-poly(styrene)'-b-poly(ethylene oxide) (SIS'O) tetrablock terpolymers. This study was motivated by self-consistent field theory (SCFT) calculations that anticipate a rich array of sphere-forming morphologies with variations in the molecular symmetry parameter τ = NS/(NS + NS'), where N is the block degree of polymerization and the volume fraction of O is less than about 0.22. Eight SIS'O samples, with τ ranging from 0.21 to 0.73, were synthesized and investigated using small-angle X-ray scattering and transmission electron microscopy, yielding evidence of nine different spherical phases: hexagonal, FCC, HCP, BCC, rhombohedral (tentative), liquid-like packing, dodecagonal quasicrystal, and Frank-Kasper σ and A15 phases. At temperatures close to the order-disorder transition, these tetrablocks behave as pseudo-[SIS']-O diblocks and form equilibrium morphologies mediated by facile chain exchange between micelles. Transition from equilibrium to nonequilibrium behavior occurs at a temperature (Terg) several tens of degrees below the order-disorder transition temperature, speculated to be coincident with the loss of ergodicity, as chain exchange is arrested due to increased segregation strength between the core (O) and corona (SIS') blocks. Nonequilibrium ordered structures form when T < Terg; these are interpreted using SCFT calculations to elucidate the free energy landscape driving ordering in the S and I block matrix. These experiments demonstrate a profound dependence on phase stability with variations in τ and temperature, providing insights into the formation of ordered phase symmetry in this class of asymmetric multiblock polymers.
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Affiliation(s)
- Siddharth Chanpuriya
- Department of Chemical Engineering and Materials Science, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Kyungtae Kim
- Department of Chemical Engineering and Materials Science, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Jingwen Zhang
- Department of Chemical Engineering and Materials Science, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Sangwoo Lee
- Department of Chemical and Biological Engineering, Rensselaer Polytechnic Institute , Troy, New York 12180, United States
| | - Akash Arora
- Department of Chemical Engineering and Materials Science, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Kevin D Dorfman
- Department of Chemical Engineering and Materials Science, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Kris T Delaney
- Materials Research Laboratory, University of California , Santa Barbara, California 93106, United States
| | - Glenn H Fredrickson
- Materials Research Laboratory, University of California , Santa Barbara, California 93106, United States
| | - Frank S Bates
- Department of Chemical Engineering and Materials Science, University of Minnesota , Minneapolis, Minnesota 55455, United States
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87
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Mkhonta SK, Elder KR, Huang ZF. Emergence of Chirality from Isotropic Interactions of Three Length Scales. PHYSICAL REVIEW LETTERS 2016; 116:205502. [PMID: 27258877 DOI: 10.1103/physrevlett.116.205502] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/07/2015] [Indexed: 06/05/2023]
Abstract
Chirality is known to play a pivotal role in determining material properties and functionalities. However, it remains a great challenge to understand and control the emergence of chirality and the related enantioselective process particularly when the building components of the system are achiral. Here we explore the generic mechanisms driving the formation of two-dimensional chiral structures in systems characterized by isotropic interactions and three competing length scales. We demonstrate that starting from isotropic and rotationally invariant interactions, a variety of chiral ordered patterns and superlattices with anisotropic but achiral units can self-assemble. The mechanisms for selecting specific states are related to the length-scale coupling and the selection of resonant density wave vectors. Sample phase diagrams and chiral elastic properties are identified. These findings provide a viable route for predicting chiral phases and selecting the desired handedness.
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Affiliation(s)
- S K Mkhonta
- Department of Physics and Astronomy, Wayne State University, Detroit, Michigan 48201, USA
- Department of Physics, University of Swaziland, Private Bag 4, Kwaluseni M201, Swaziland
| | - K R Elder
- Department of Physics, Oakland University, Rochester, Michigan 48309, USA
| | - Zhi-Feng Huang
- Department of Physics and Astronomy, Wayne State University, Detroit, Michigan 48201, USA
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88
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Jadrich RB, Bollinger JA, Lindquist BA, Truskett TM. Equilibrium cluster fluids: pair interactions via inverse design. SOFT MATTER 2015; 11:9342-9354. [PMID: 26434352 DOI: 10.1039/c5sm01832c] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
Inverse methods of statistical mechanics are becoming productive tools in the design of materials with specific microstructures or properties. While initial studies have focused on solid-state design targets (e.g., assembly of colloidal superlattices), one can alternatively design fluid states with desired morphologies. This work addresses the latter and demonstrates how a simple iterative Boltzmann inversion strategy can be used to determine the isotropic pair potential that reproduces the radial distribution function of a fluid of amorphous clusters with prescribed size. The inverse designed pair potential of this "ideal" cluster fluid, with its broad attractive well and narrow repulsive barrier at larger separations, is qualitatively different from the so-called SALR form most commonly associated with equilibrium cluster formation in colloids, which features short-range attractive (SA) and long-range repulsive (LR) contributions. These differences reflect alternative mechanisms for promoting cluster formation with an isotropic pair potential, and they in turn produce structured fluids with qualitatively different static and dynamic properties. Specifically, equilibrium simulations show that the amorphous clusters resulting from the inverse designed potentials display more uniformity in size and shape, and they also show greater spatial and temporal resolution than those resulting from SALR interactions.
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Affiliation(s)
- R B Jadrich
- McKetta Department of Chemical Engineering, University of Texas at Austin, Austin, Texas 78712, USA.
| | - J A Bollinger
- McKetta Department of Chemical Engineering, University of Texas at Austin, Austin, Texas 78712, USA.
| | - B A Lindquist
- McKetta Department of Chemical Engineering, University of Texas at Austin, Austin, Texas 78712, USA.
| | - T M Truskett
- McKetta Department of Chemical Engineering, University of Texas at Austin, Austin, Texas 78712, USA.
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89
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Abstract
Abstract
As crystallography merges with materials science and engineering, mathematical crystallography is growing in new directions, including: Characterizing new materials with unusual properties; Imaging, including but not limited to diffraction; Exploring and exploiting superspaces; Mapping the aperiodic landscape, from chaos to classical periodicity and beyond; Re-modeling the structures of real crystals, both periodic and aperiodic; Modeling self-assembly and self-reorganization on the nanoscale. In short, it’s not (just) about space groups and tilings anymore.
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90
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Pattabhiraman H, Gantapara AP, Dijkstra M. On the stability of a quasicrystal and its crystalline approximant in a system of hard disks with a soft corona. J Chem Phys 2015; 143:164905. [DOI: 10.1063/1.4934499] [Citation(s) in RCA: 37] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Harini Pattabhiraman
- Soft Condensed Matter, Debye Institute for Nanomaterials Science, Department of Physics, Utrecht University, Princetonplein 5, 3584 CC Utrecht, The Netherlands
| | - Anjan P. Gantapara
- Soft Condensed Matter, Debye Institute for Nanomaterials Science, Department of Physics, Utrecht University, Princetonplein 5, 3584 CC Utrecht, The Netherlands
| | - Marjolein Dijkstra
- Soft Condensed Matter, Debye Institute for Nanomaterials Science, Department of Physics, Utrecht University, Princetonplein 5, 3584 CC Utrecht, The Netherlands
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91
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van Anders G, Klotsa D, Karas AS, Dodd PM, Glotzer SC. Digital Alchemy for Materials Design: Colloids and Beyond. ACS NANO 2015; 9:9542-9553. [PMID: 26401754 DOI: 10.1021/acsnano.5b04181] [Citation(s) in RCA: 47] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
Starting with the early alchemists, a holy grail of science has been to make desired materials by modifying the attributes of basic building blocks. Building blocks that show promise for assembling new complex materials can be synthesized at the nanoscale with attributes that would astonish the ancient alchemists in their versatility. However, this versatility means that making a direct connection between building-block attributes and bulk structure is both necessary for rationally engineering materials and difficult because building block attributes can be altered in many ways. Here we show how to exploit the malleability of the valence of colloidal nanoparticle "elements" to directly and quantitatively link building-block attributes to bulk structure through a statistical thermodynamic framework we term "digital alchemy". We use this framework to optimize building blocks for a given target structure and to determine which building-block attributes are most important to control for self-assembly, through a set of novel thermodynamic response functions, moduli, and susceptibilities. We thereby establish direct links between the attributes of colloidal building blocks and the bulk structures they form. Moreover, our results give concrete solutions to the more general conceptual challenge of optimizing emergent behaviors in nature and can be applied to other types of matter. As examples, we apply digital alchemy to systems of truncated tetrahedra, rhombic dodecahedra, and isotropically interacting spheres that self-assemble diamond, fcc, and icosahedral quasicrystal structures, respectively. Although our focus is on colloidal systems, our methods generalize to any building blocks with adjustable interactions.
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Affiliation(s)
- Greg van Anders
- Department of Chemical Engineering, University of Michigan , Ann Arbor, Michigan 48109-2136, United States
| | - Daphne Klotsa
- Department of Chemical Engineering, University of Michigan , Ann Arbor, Michigan 48109-2136, United States
- School of Engineering and Applied Sciences, Harvard University , Cambridge, Massachusetts 02138, United States
- Department of Chemistry, University of Cambridge , Lensfield Road, Cambridge CB2 1EW, United Kingdom
| | - Andrew S Karas
- Department of Chemical Engineering, University of Michigan , Ann Arbor, Michigan 48109-2136, United States
| | - Paul M Dodd
- Department of Chemical Engineering, University of Michigan , Ann Arbor, Michigan 48109-2136, United States
| | - Sharon C Glotzer
- Department of Chemical Engineering, University of Michigan , Ann Arbor, Michigan 48109-2136, United States
- Department of Materials Science and Engineering, University of Michigan , Ann Arbor, Michigan 48109-2136, United States
- Biointerfaces Institute, University of Michigan , Ann Arbor, Michigan 48109-2800, United States
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92
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Damasceno PF, Karas AS, Schultz BA, Engel M, Glotzer SC. Controlling Chirality of Entropic Crystals. PHYSICAL REVIEW LETTERS 2015; 115:158303. [PMID: 26550757 DOI: 10.1103/physrevlett.115.158303] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/10/2015] [Indexed: 06/05/2023]
Abstract
Colloidal crystal structures with complexity and diversity rivaling atomic and molecular crystals have been predicted and obtained for hard particles by entropy maximization. However, thus far homochiral colloidal crystals, which are candidates for photonic metamaterials, are absent. Using Monte Carlo simulations we show that chiral polyhedra exhibiting weak directional entropic forces self-assemble either an achiral crystal or a chiral crystal with limited control over the crystal handedness. Building blocks with stronger faceting exhibit higher selectivity and assemble a chiral crystal with handedness uniquely determined by the particle chirality. Tuning the strength of directional entropic forces by means of particle rounding or the use of depletants allows for reconfiguration between achiral and homochiral crystals. We rationalize our findings by quantifying the chirality strength of each particle, both from particle geometry and potential of mean force and torque diagrams.
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Affiliation(s)
- Pablo F Damasceno
- Applied Physics Program, University of Michigan, Ann Arbor, Michigan 48109, USA
- Biointerfaces Institute, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - Andrew S Karas
- Biointerfaces Institute, University of Michigan, Ann Arbor, Michigan 48109, USA
- Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - Benjamin A Schultz
- Biointerfaces Institute, University of Michigan, Ann Arbor, Michigan 48109, USA
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - Michael Engel
- Biointerfaces Institute, University of Michigan, Ann Arbor, Michigan 48109, USA
- Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - Sharon C Glotzer
- Applied Physics Program, University of Michigan, Ann Arbor, Michigan 48109, USA
- Biointerfaces Institute, University of Michigan, Ann Arbor, Michigan 48109, USA
- Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
- Department of Materials Science and Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA
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93
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Ryltsev R, Klumov B, Chtchelkatchev N. Self-assembly of the decagonal quasicrystalline order in simple three-dimensional systems. SOFT MATTER 2015; 11:6991-6998. [PMID: 26234538 DOI: 10.1039/c5sm01397f] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
Using molecular dynamics simulations we show that a one-component system can be driven to a three-dimensional decagonal (10-fold) quasicrystalline state just by purely repulsive, isotropic and monotonic interaction pair potential with two characteristic length scales; no attraction is needed. We found that self-assembly of a decagonal quasicrystal from a fluid can be predicted by two dimensionless effective parameters describing the fluid structure. We demonstrate stability of the results under changes of the potential by obtaining the decagonal order for three particle systems with different interaction potentials, both purely repulsive and attractive, but with the same values of the effective parameters. Our results suggest that soft matter quasicrystals with decagonal symmetry can be experimentally observed for the same systems demonstrating the dodecagonal order for an appropriate tuning of the effective parameters.
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Affiliation(s)
- Roman Ryltsev
- Institute of Metallurgy, UB RAS, 620016, Amundsena 101, Ekaterinburg, Russia.
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94
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Nagao K, Inuzuka T, Nishimoto K, Edagawa K. Experimental Observation of Quasicrystal Growth. PHYSICAL REVIEW LETTERS 2015; 115:075501. [PMID: 26317729 DOI: 10.1103/physrevlett.115.075501] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/20/2015] [Indexed: 06/04/2023]
Abstract
The growth of an Al-Ni-Co decagonal quasicrystal was observed by in situ, high-temperature, high-resolution transmission electron microscopy. The tiling patterns extracted from a series of high-resolution transmission electron microscopy images were analyzed on the basis of the high-dimensional description of quasicrystalline structures. The analyses indicated that the growth proceeded with frequent error-and-repair processes. The final, grown structure showed nearly perfect quasicrystalline order. Our observations suggest that the repair process by phason relaxation, rather than local growth rule, plays an essential role in the construction of ideal quasicrystalline order in real materials.
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Affiliation(s)
- Keisuke Nagao
- Institute of Industrial Science, The University of Tokyo, Komaba, Meguro-ku, Tokyo 153-8505, Japan
| | - Tomoaki Inuzuka
- Institute of Industrial Science, The University of Tokyo, Komaba, Meguro-ku, Tokyo 153-8505, Japan
| | - Kazue Nishimoto
- Institute of Multidisciplinary Research for Advanced Materials, Tohoku University, Sendai 980-8577, Japan
| | - Keiichi Edagawa
- Institute of Industrial Science, The University of Tokyo, Komaba, Meguro-ku, Tokyo 153-8505, Japan
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95
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Archer AJ, Rucklidge AM, Knobloch E. Soft-core particles freezing to form a quasicrystal and a crystal-liquid phase. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 92:012324. [PMID: 26274178 DOI: 10.1103/physreve.92.012324] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/08/2015] [Indexed: 06/04/2023]
Abstract
Systems of soft-core particles interacting via a two-scale potential are studied. The potential is responsible for peaks in the structure factor of the liquid state at two different but comparable length scales and a similar bimodal structure is evident in the dispersion relation. Dynamical density functional theory in two dimensions is used to identify two unusual states of this system: a crystal-liquid state, in which the majority of the particles are located on lattice sites but a minority remains free and so behaves like a liquid, and a 12-fold quasicrystalline state. Both are present even for deeply quenched liquids and are found in a regime in which the liquid is unstable with respect to modulations on the smaller scale only. As a result, the system initially evolves towards a small-scale crystal state; this state is not a minimum of the free energy, however, and so the system subsequently attempts to reorganize to generate the lower-energy larger-scale crystals. This dynamical process generates a disordered state with quasicrystalline domains and takes place even when this large scale is linearly stable, i.e., it is a nonlinear process. With controlled initial conditions, a perfect quasicrystal can form. The results are corroborated using Brownian dynamics simulations.
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Affiliation(s)
- A J Archer
- Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, United Kingdom
| | - A M Rucklidge
- Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom
| | - E Knobloch
- Department of Physics, University of California, Berkeley, California 94720, USA
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96
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Rühle F, Sandbrink M, Stark H, Schmiedeberg M. Effective substrate potentials with quasicrystalline symmetry depend on the size of the adsorbed particles. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2015; 38:54. [PMID: 26087915 DOI: 10.1140/epje/i2015-15054-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/16/2015] [Revised: 03/30/2015] [Accepted: 04/23/2015] [Indexed: 06/04/2023]
Abstract
We explore the effective potential landscapes that extended particles experience when adsorbed on the surface of quasicrystals. Commonly, these are solids with long-ranged order but no translational symmetry. The effective potentials significantly depend on the size of the adsorbed particles. We show how changing the particle radius changes the so-called local isomorphism class of the effective quasicrystalline pattern. This means effective potentials for different particle sizes cannot directly be mapped onto each other. Our theoretical predictions are confirmed by Monte Carlo simulations. The results are important for colloidal particles with different sizes that are subjected to laser fields with quasicrystalline symmetry as well as for systems where extended molecules are deposited onto the surface of metallic quasicrystals.
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Affiliation(s)
- Felix Rühle
- Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623, Berlin, Germany
| | - Matthias Sandbrink
- Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, 40225, Düsseldorf, Germany
| | - Holger Stark
- Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623, Berlin, Germany
| | - Michael Schmiedeberg
- Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, 40225, Düsseldorf, Germany.
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97
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Zhang L, Lua LHL, Middelberg APJ, Sun Y, Connors NK. Biomolecular engineering of virus-like particles aided by computational chemistry methods. Chem Soc Rev 2015; 44:8608-18. [DOI: 10.1039/c5cs00526d] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Abstract
Multi-scale investigation of VLP self-assembly aided by computational methods is facilitating the design, redesign, and modification of functionalized VLPs.
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Affiliation(s)
- Lin Zhang
- Department of Biochemical Engineering and Key Laboratory of Systems Bioengineering of the Ministry of Education
- School of Chemical Engineering and Technology
- Tianjin University
- Tianjin 300072, People's Republic of China
| | - Linda H. L. Lua
- Protein Expression Facility
- The University of Queensland
- Brisbane, Australia
| | - Anton P. J. Middelberg
- Australian Institute for Bioengineering and Nanotechnology
- The University of Queensland
- Brisbane, Australia
| | - Yan Sun
- Department of Biochemical Engineering and Key Laboratory of Systems Bioengineering of the Ministry of Education
- School of Chemical Engineering and Technology
- Tianjin University
- Tianjin 300072, People's Republic of China
| | - Natalie K. Connors
- Australian Institute for Bioengineering and Nanotechnology
- The University of Queensland
- Brisbane, Australia
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98
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Madison AE. Atomic structure of icosahedral quasicrystals: stacking multiple quasi-unit cells. RSC Adv 2015. [DOI: 10.1039/c5ra13874d] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022] Open
Abstract
An effective tiling approach is proposed for the structural description of icosahedral quasicrystals based on the original substitution algorithm.
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Affiliation(s)
- Alexey E. Madison
- Admiral Makarov State University of Maritime and Inland Shipping
- 198035 Saint-Petersburg
- Russia
- Center for Advanced Studies
- Peter the Great Saint-Petersburg Polytechnic University
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99
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de Boissieu M. Icosahedral quasicrystals: Assembled with one component. NATURE MATERIALS 2015; 14:18-19. [PMID: 25515999 DOI: 10.1038/nmat4183] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Affiliation(s)
- Marc de Boissieu
- University Grenoble Alpes and CNRS, SIMaP, F-38000 Grenoble, France
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