Interconversion of Triply Periodic Constant Mean Curvature Surface Structures: From Double Diamond to Single Gyroid

Cao, Xin; Xu, Dongpo; Yao, Yuan; Han, Lu; Terasaki, Osamu; Che, Shunai

doi:10.1021/acs.chemmater.6b00308

Cited by 48 publications

(55 citation statements)

References 72 publications

(144 reference statements)

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“…In the cooperative self-assembly of PEO-PS-PtBA and silica precursors, the epitaxial intergrowth of different hyperbolic surface structures has been discovered [39,41]. The "side-by-side" epitaxial relationship between SDD and SDP structures was identified.…”

Section: Structural Transition and Structural Determinationmentioning

confidence: 99%

“…The addition of solvent enables the solubilization of the block copolymer and the swelling of the whole system, which forms structures with different Gaussian curvatures. This self-assembly process presents a challenge to the correlation between molecular shape and the interfacial curvature, which may shed light on the formation mechanism of these structures with hyperbolic surfaces, in addition to our understanding in biology-derived relevant structures [41].…”

Section: Introductionmentioning

confidence: 99%

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Bicontinuous cubic phases in biological and artificial self-assembled systems

2020

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Nature has created innumerable life forms with miraculous hierarchical structures and morphologies that are optimized for different life events through evolution over billions of years. Bicontinuous cubic structures, which are often described by triply periodic minimal surfaces (TPMSs) and their constant mean curvature (CMC)/parallel surface companions, are of special interest to various research fields because of their complex form with unique physical functionalities. This has prompted the scientific community to fully understand the formation, structure, and properties of these materials. In this review, we summarize and discuss the formation mechanism and relationships of the relevant biological structures and the artificial self-assembly systems. These structures can be formed through biological processes with amazing regulation across a great length scales; nevertheless, artificial construction normally produces the structure corresponding to the molecular size and shape. Notably, the block copolymeric system is considered to be an applicable and attractive model system for the study of biological systems due to their versatile design and rich phase behavior. Some of the phenomena found in these two systems are compared and discussed, and this information may provide new ideas for a comprehensive understanding of the relationship between molecular shape and resulting interface curvature and the selfassembly process in living organisms. We argue that the copolymeric system may serve as a model to understand these biological systems and could encourage additional studies of artificial self-assembly and the creation of new functional materials.

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Section: Structural Transition and Structural Determinationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Bicontinuous cubic phases in biological and artificial self-assembled systems

2020

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Section: Shifting Double Framework To Achieve Complete Photonic Bandmentioning

confidence: 99%

“…Interestingly, single‐gyroid domains were discovered in the shifted double‐diamond structure as an intergrown phase . The interconversion of the double‐diamond and the single‐gyroid happened by means of a side‐by‐side epitaxial relationship, which is in agreement with a continuous deformation pathway between gyroid and diamond surfaces, known as tetragonal transformation.…”

Section: Shifting Double Framework To Achieve Complete Photonic Bandmentioning

confidence: 99%

Fabrication of Photonic Bandgap Materials by Shifting Double Frameworks

Sheng

Mao

Han

et al. 2018

Chemistry A European J

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Biological organisms have evolved over millions of years to generate tremendously complex structures on a nanometer to micrometer scale. Among them, a range of three-dimensional (3D) biological photonic structures with minimal surface or constant mean curvature surfaces have been discovered in the wing scales of insects, attracting a great deal of interest because of their unique optical properties, such as structural color, antireflection, light collection, and photonic band gaps. Single-diamond and single-gyroid surface structures are considered to be excellent photonic crystals with complete band gaps. Although the corresponding bicontinuous architectures have been synthesized by self-assembly, single-framework structures are thermodynamically unfavorable and have been only achieved by physical fabrications and the alternating gyroid method. The production of materials derived from the thermodynamically stable double-framework structures provides a feasible solution for their chemical construction. This concept article highlights the significant progress in understanding 3D photonic structures by shifting double-frameworks to form low-symmetry structures, the physical properties of which can be greatly altered. Specifically, a complete photonic band gap can be achieved via a shifted double-diamond structure composed of materials with high dielectric contrast and high refractive index. We believe this concept will provide new insights in interdisciplinary research areas including the study of photonic structures, the self-assembly of amphiphilic molecules and the formation of biological architectures.

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“…A repeating unit cell is at the core of porous designs, from a simple hollow cubic structure to more intricate, nature inspired, Gyroid structures [7,8]. Despite the ready rendering of such structures, there remains an inability to accurately predict the mechanical strength and the porosity of the final design.…”

Section: Introductionmentioning

confidence: 99%

Design and fabrication considerations for three dimensional scaffold structures

Mohammed¹,

Badwal²,

Gibson³

2017

KEG

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<p>Porous three dimensional structures have seen extensive investigation among design engineers for a wide range of novel applications. The fabrication of such designs would not be possible using traditional manufacturing approaches owing to the dimensional intricacy of such structures, but have now become a distinct possibility owing to the maturity of 3D printing technologies. In this study, we have examined the creation of novel unit cells from mathematic surface renderings as a basis for creating tailored porous structures, before realising the final designs through Fuse Deposition Modelling (FDM) 3D printing. We examined the use of Gyroid and Schwarz primitive (P) surfaces to create novel unit cells not typically found in design software libraries. We then transpose these structures into several test geometries comprising a cylinder, cuboid and tetrahedron, which will adequately test limits of design and fabrication in regular and irregularly shaped structures. It was found that the porosities of the resulting models could be adjusted through discrete dimensional changes in the unit cell and digital wrapping procedures. It was also found that models could be fabricated using FDM printing to a minimum pore diameter of approximately 1mm with a high degree of accuracy and repeatability. Ultimately this work will provide guidance to engineering's when creating porous structures and could find usefulness in applications where optimal material usage versus porosity are required, such as in high throughput 3D fluidic applications, such as heat exchangers and tissue engineered structures.</p>

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Interconversion of Triply Periodic Constant Mean Curvature Surface Structures: From Double Diamond to Single Gyroid

Cited by 48 publications

References 72 publications

Bicontinuous cubic phases in biological and artificial self-assembled systems

Bicontinuous cubic phases in biological and artificial self-assembled systems

Fabrication of Photonic Bandgap Materials by Shifting Double Frameworks

Design and fabrication considerations for three dimensional scaffold structures

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