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Journal articles on the topic 'Double Gyroid'

Author: Grafiati

Published: 4 June 2025

Last updated: 15 July 2025

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1

Feng, Xueyan, Mujin Zhuo, Hua Guo, and Edwin L. Thomas. "Visualizing the double-gyroid twin." Proceedings of the National Academy of Sciences 118, no. 12 (2021): e2018977118. http://dx.doi.org/10.1073/pnas.2018977118.

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Periodic gyroid network materials have many interesting properties (band gaps, topologically protected modes, superior charge and mass transport, and outstanding mechanical properties) due to the space-group symmetries and their multichannel triply continuous morphology. The three-dimensional structure of a twin boundary in a self-assembled polystyrene-b-polydimethylsiloxane (PS-PDMS) double-gyroid (DG) forming diblock copolymer is directly visualized using dual-beam scanning microscopy. The reconstruction clearly shows that the intermaterial dividing surface (IMDS) is smooth and continuous across the boundary plane as the pairs of chiral PDMS networks suddenly change their handedness. The boundary plane therefore acts as a topological mirror. The morphology of the normally chiral nodes and strut loops within the networks is altered in the twin-boundary plane with the formation of three new types of achiral nodes and the appearance of two new classes of achiral loops. The boundary region shares a very similar surface/volume ratio and distribution of the mean and Gaussian curvatures of the IMDS as the adjacent ordered DG grain regions, suggesting the twin is a low-energy boundary.

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2

Imai, M., K. Sakai, M. Kikuchi, K. Nakaya, A. Saeki, and T. Teramoto. "Kinetic pathway to double-gyroid structure." Journal of Chemical Physics 122, no. 21 (2005): 214906. http://dx.doi.org/10.1063/1.1905585.

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3

Urade, Vikrant N., Ta-Chen Wei, Michael P. Tate, Jonathan D. Kowalski, and Hugh W. Hillhouse. "Nanofabrication of Double-Gyroid Thin Films." Chemistry of Materials 19, no. 4 (2007): 768–77. http://dx.doi.org/10.1021/cm062136n.

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4

Urade, Vikrant N., Ta-Chen Wei, Michael P. Tate, Jonathan D. Kowalski, and Hugh W. Hillhouse. "Nanofabrication of Double-Gyroid Thin Films." Chemistry of Materials 19, no. 9 (2007): 2382. http://dx.doi.org/10.1021/cm0799964.

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5

Grafskaia, Kseniia N., Azaliia F. Akhkiamova, Dmitry V. Vashurkin, et al. "Bicontinuous Gyroid Phase of a Water-Swollen Wedge-Shaped Amphiphile: Studies with In-Situ Grazing-Incidence X-ray Scattering and Atomic Force Microscopy." Materials 14, no. 11 (2021): 2892. http://dx.doi.org/10.3390/ma14112892.

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We report on formation of a bicontinuous double gyroid phase by a wedge-shaped amphiphilic mesogen, pyridinium 4′-[3″,4″,5″-tris-(octyloxy)benzoyloxy]azobenzene-4-sulfonate. It is found that this compound can self-organize in zeolite-like structures adaptive to environmental conditions (e.g., temperature, humidity, solvent vapors). Depending on the type of the phase, the structure contains 1D, 2D, or 3D networks of nanometer-sized ion channels. Of particular interest are bicontinuous phases, such as the double gyroid phase, as they hold promise for applications in separation and energy. Specially designed environmental cells compatible with grazing-incidence X-ray scattering and atomic force microscopy enable simultaneous measurements of structural parameters/morphology during vapor-annealing treatment at different temperatures. Such in-situ approach allows finding the environmental conditions at which the double gyroid phase can be formed and provide insights on the supramolecular structure of thin films at different spatial levels.

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6

Wolska, Joanna Maria, Damian Pociecha, Józef Mieczkowski, and Ewa Gorecka. "Double gyroid structures made of asymmetric dimers." Liquid Crystals 43, no. 2 (2015): 235–40. http://dx.doi.org/10.1080/02678292.2015.1096422.

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7

Crossland, Edward J. W., Marleen Kamperman, Mihaela Nedelcu, et al. "A Bicontinuous Double Gyroid Hybrid Solar Cell." Nano Letters 9, no. 8 (2009): 2807–12. http://dx.doi.org/10.1021/nl803174p.

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8

Dair, B. J., A. Avgeropoulos, N. Hadjichristidis, M. Capel, and E. L. Thomas. "Oriented double gyroid films via roll casting." Polymer 41, no. 16 (2000): 6231–36. http://dx.doi.org/10.1016/s0032-3861(99)00847-2.

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9

Prasad, Ishan, Hiroshi Jinnai, Rong-Ming Ho, Edwin L. Thomas, and Gregory M. Grason. "Anatomy of triply-periodic network assemblies: characterizing skeletal and inter-domain surface geometry of block copolymer gyroids." Soft Matter 14, no. 18 (2018): 3612–23. http://dx.doi.org/10.1039/c8sm00078f.

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10

Chu, C. Y., X. Jiang, H. Jinnai, et al. "Real-space evidence of the equilibrium ordered bicontinuous double diamond structure of a diblock copolymer." Soft Matter 11, no. 10 (2015): 1871–76. http://dx.doi.org/10.1039/c4sm02608j.

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A thermally stable ordered bicontinuous double diamond (OBDD) structure in a stereoregular diblock copolymer has been revealed by electron tomography. The structure underwent a thermally reversible transition to double gyroid upon heating, accompanied by a reduction of domain spacing.

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11

Jo, Seungyun, Haedong Park, Taesuk Jun, et al. "Symmetry-breaking in double gyroid block copolymer film." Acta Crystallographica Section A Foundations and Advances 77, a2 (2021): C137. http://dx.doi.org/10.1107/s0108767321095441.

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12

Roy, Raghunath, Jong Keun Park, Wen-Shiue Young, Sarah E. Mastroianni, Maëva S. Tureau, and Thomas H. Epps. "Double-Gyroid Network Morphology in Tapered Diblock Copolymers." Macromolecules 44, no. 10 (2011): 3910–15. http://dx.doi.org/10.1021/ma1025847.

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13

Irfan, Syed, Syed Rizwan, Yang Shen, et al. "Mesoporous template-free gyroid-like nanostructures based on La and Mn co-doped bismuth ferrites with improved photocatalytic activity." RSC Advances 6, no. 115 (2016): 114183–89. http://dx.doi.org/10.1039/c6ra23674j.

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14

Yang, Weilu, Wei Zhang, Longfei Luo, et al. "Ordered structures and sub-5 nm line patterns from rod–coil hybrids containing oligo(dimethylsiloxane)." Chemical Communications 56, no. 71 (2020): 10341–44. http://dx.doi.org/10.1039/d0cc04377j.

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15

Matsen, M. W. "Gyroid versus double-diamond in ABC triblock copolymer melts." Journal of Chemical Physics 108, no. 2 (1998): 785–96. http://dx.doi.org/10.1063/1.475439.

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16

Prusty, R. K., R. L. Narayan, M. Scherer, et al. "Spherical indentation response of a Ni double gyroid nanolattice." Scripta Materialia 188 (November 2020): 64–68. http://dx.doi.org/10.1016/j.scriptamat.2020.07.011.

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17

Khaderi, S. N., M. R. J. Scherer, C. E. Hall, et al. "The indentation response of Nickel nano double gyroid lattices." Extreme Mechanics Letters 10 (January 2017): 15–23. http://dx.doi.org/10.1016/j.eml.2016.08.006.

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18

Chen, Chun-Ku, Han-Yu Hsueh, Yeo-Wan Chiang, Rong-Ming Ho, Satoshi Akasaka, and Hirokazu Hasegawa. "Single Helix to Double Gyroid in Chiral Block Copolymers." Macromolecules 43, no. 20 (2010): 8637–44. http://dx.doi.org/10.1021/ma1009885.

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19

Vukovic, Ivana, Thomas P. Voortman, Daniel Hermida Merino, et al. "Double Gyroid Network Morphology in Supramolecular Diblock Copolymer Complexes." Macromolecules 45, no. 8 (2012): 3503–12. http://dx.doi.org/10.1021/ma300273f.

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20

Matraszek, Joanna, Damian Pociecha, Nataša Vaupotič, Mirosław Salamończyk, Martin Vogrin, and Ewa Gorecka. "Bi-continuous orthorhombic soft matter phase made of polycatenar molecules." Soft Matter 16, no. 16 (2020): 3882–85. http://dx.doi.org/10.1039/d0sm00331j.

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A slight deformation of a double gyroid structure of a cubic Ia3̄d phase results in the formation of a phase with an orthorhombic Pcab symmetry. The phase seems to be an intermediate state towards a columnar phase made of helical pillars.

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21

Monkova, Katarina, Peter Pavol Monka, George A. Pantazopoulos, et al. "Effect of Crosshead Speed and Volume Ratio on Compressive Mechanical Properties of Mono- and Double-Gyroid Structures Made of Inconel 718." Materials 16, no. 14 (2023): 4973. http://dx.doi.org/10.3390/ma16144973.

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The current development of additive technologies brings not only new possibilities but also new challenges. One of them is the use of regular cellular materials in various components and constructions so that they fully utilize the potential of porous structures and their advantages related to weight reduction and material-saving while maintaining the required safety and operational reliability of devices containing such components. It is therefore very important to know the properties of such materials and their behavior under different types of loads. The article deals with the investigation of the mechanical properties of porous structures made by the Direct Metal Laser Sintering (DMLS) of Inconel 718. Two types of basic cell topology, mono-structure Gyroid (G) and double-structure Gyroid + Gyroid (GG), with material volume ratios of 10, 15 and 20 %, were studied within our research to compare their properties under quasi-static compressive loading. The testing procedure was performed at ambient temperature with a servo-hydraulic testing machine at three different crosshead testing speeds. The recorded data were processed, while the stress–strain curves were plotted, and Young’s modulus, the yield strength Re0.2, and the stress at the first peak of the local maximum σLocMax were identified. The results showed the best behavior under compression load among the studied structures displayed by mono-structure Gyroid at 10 %. At the same time, it can be concluded that the wall thickness of the structure plays an important role in the compressive properties but on the other hand, crosshead speed doesn´t influence results significantly.

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22

Shen, Kuan-Hsuan, Jonathan R. Brown, and Lisa M. Hall. "Diffusion in Lamellae, Cylinders, and Double Gyroid Block Copolymer Nanostructures." ACS Macro Letters 7, no. 9 (2018): 1092–98. http://dx.doi.org/10.1021/acsmacrolett.8b00506.

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23

Teramoto, Takashi, and Yasumasa Nishiura. "Double Gyroid Morphology in a Gradient System with Nonlocal Effects." Journal of the Physical Society of Japan 71, no. 7 (2002): 1611–14. http://dx.doi.org/10.1143/jpsj.71.1611.

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24

Adachi, Masayuki, Arimichi Okumura, Easan Sivaniah, and Takeji Hashimoto. "Incorporation of Metal Nanoparticles into a Double Gyroid Network Texture." Macromolecules 39, no. 21 (2006): 7352–57. http://dx.doi.org/10.1021/ma061108n.

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25

Aissou, Karim, Maximilien Coronas, Daniel Hermida-Merino, et al. "Nanoporous Double-Gyroid Structure from ABC Triblock Terpolymer Thick Films." International Journal of Polymer Science 2023 (October 10, 2023): 1–9. http://dx.doi.org/10.1155/2023/9598572.

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The creation of nanostructured materials with a triply periodic minimal surface (TPMS), defined as a zero mean curvature surface having periodicity in three-dimensional space, is an emerging solution to optimize transport (i.e., the ion-conductivity and hydraulic permeability) through the next-generation of electrolyte and ultrafiltration (UF) membranes. Here, we used an amphiphilic ABC-type block copolymer (BCP) (namely, polystyrene-block-poly(2-vinylpyridine)-block-poly(ethylene oxide) (PS-b-P2VP-b-PEO)) to generate symmetric thick films (~8 μm) composed entirely of a TPMS-based structure, consisting of a PS matrix with a double gyroid (DG) minimal surface and hydrophilic stimuli-responsive (P2VP/PEO) nanochannels. To produce the core/shell DG-structured monoliths, we used a process combining the nonsolvent-induced phase separation (NIPS) process with a solvent vapor annealing (SVA) treatment. From such symmetric ABC-type BCP-thick films generated by NIPS-SVA, a mean hydraulic permeability as high as 514 L h-1 m-2 bar-1 was measured. This mean value was revealed to be nearly equal to that of asymmetric PS-b-P2VP-b-PEO membranes manufactured by NIPS, which have a substructure with an implicit irregular and random distribution of the internal pore structure and a skin layer with P2VP/PEO nanopores arranged into a hexagonal array.

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26

Kovács, Ágnes Éva, Zoltán Csernátony, Loránd Csámer, et al. "Comparative Analysis of Bone Ingrowth in 3D-Printed Titanium Lattice Structures with Different Patterns." Materials 16, no. 10 (2023): 3861. http://dx.doi.org/10.3390/ma16103861.

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In this study, metal 3D printing technology was used to create lattice-shaped test specimens of orthopedic implants to determine the effect of different lattice shapes on bone ingrowth. Six different lattice shapes were used: gyroid, cube, cylinder, tetrahedron, double pyramid, and Voronoi. The lattice-structured implants were produced from Ti6Al4V alloy using direct metal laser sintering 3D printing technology with an EOS M290 printer. The implants were implanted into the femoral condyles of sheep, and the animals were euthanized 8 and 12 weeks after surgery. To determine the degree of bone ingrowth for different lattice-shaped implants, mechanical, histological, and image processing tests on ground samples and optical microscopic images were performed. In the mechanical test, the force required to compress the different lattice-shaped implants and the force required for a solid implant were compared, and significant differences were found in several instances. Statistically evaluating the results of our image processing algorithm, it was found that the digitally segmented areas clearly consisted of ingrown bone tissue; this finding is also supported by the results of classical histological processing. Our main goal was realized, so the bone ingrowth efficiencies of the six lattice shapes were ranked. It was found that the gyroid, double pyramid, and cube-shaped lattice implants had the highest degree of bone tissue growth per unit time. This ranking of the three lattice shapes remained the same at both 8 and 12 weeks after euthanasia. In accordance with the study, as a side project, a new image processing algorithm was developed that proved suitable for determining the degree of bone ingrowth in lattice implants from optical microscopic images. Along with the cube lattice shape, whose high bone ingrowth values have been previously reported in many studies, it was found that the gyroid and double pyramid lattice shapes produced similarly good results.

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27

Kaufmann, Ralph, Sergei Khlebnikov, and Birgit Wehefritz-Kaufmann. "The geometry of the double gyroid wire network: quantum and classical." Journal of Noncommutative Geometry 6, no. 4 (2012): 623–64. http://dx.doi.org/10.4171/jncg/101.

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28

Park, So Jung, Guo Kang Cheong, Frank S. Bates, and Kevin D. Dorfman. "Stability of the Double Gyroid Phase in Bottlebrush Diblock Copolymer Melts." Macromolecules 54, no. 19 (2021): 9063–70. http://dx.doi.org/10.1021/acs.macromol.1c01654.

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29

Suzuki, Jiro, Motohiro Seki, and Yushu Matsushita. "The tricontinuous double-gyroid structure from a three-component polymer system." Journal of Chemical Physics 112, no. 10 (2000): 4862–68. http://dx.doi.org/10.1063/1.481089.

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30

Nonomura, Makiko, Kohtaro Yamada, and Takao Ohta. "Formation and stability of double gyroid in microphase-separated diblock copolymers." Journal of Physics: Condensed Matter 15, no. 26 (2003): L423—L430. http://dx.doi.org/10.1088/0953-8984/15/26/101.

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31

Wang, Hsiao-Fang, Po-Ting Chiu, Chih-Ying Yang, et al. "Networks with controlled chirality via self-assembly of chiral triblock terpolymers." Science Advances 6, no. 42 (2020): eabc3644. http://dx.doi.org/10.1126/sciadv.abc3644.

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Nanonetwork-structured materials can be found in nature and synthetic materials. A double gyroid (DG) with a pair of chiral networks but opposite chirality can be formed from the self-assembly of diblock copolymers. For triblock terpolymers, an alternating gyroid (GA) with two chiral networks from distinct end blocks can be formed; however, the network chirality could be positive or negative arbitrarily, giving an achiral phase. Here, by taking advantage of chirality transfer at different length scales, GA with controlled chirality can be achieved through the self-assembly of a chiral triblock terpolymer. With the homochiral evolution from monomer to multichain domain morphology through self-assembly, the triblock terpolymer composed of a chiral end block with a single-handed helical polymer chain gives the chiral network from the chiral end block having a particular handed network. Our real-space analyses reveal the preferred chiral sense of the network in the GA, leading to a chiral phase.

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32

Jo, Seungyun, Haedong Park, Taesuk Jun, et al. "Symmetry-breaking in double gyroid block copolymer films by non-affine distortion." Applied Materials Today 23 (June 2021): 101006. http://dx.doi.org/10.1016/j.apmt.2021.101006.

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33

Avgeropoulos, Apostolos, Benita J. Dair, Nikos Hadjichristidis, and Edwin L. Thomas. "Tricontinuous Double Gyroid Cubic Phase in Triblock Copolymers of the ABA Type." Macromolecules 30, no. 19 (1997): 5634–42. http://dx.doi.org/10.1021/ma970266z.

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34

Maskery, I., N. T. Aboulkhair, A. O. Aremu, C. J. Tuck, and I. A. Ashcroft. "Compressive failure modes and energy absorption in additively manufactured double gyroid lattices." Additive Manufacturing 16 (August 2017): 24–29. http://dx.doi.org/10.1016/j.addma.2017.04.003.

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35

Antoine, Ségolène, Karim Aissou, Muhammad Mumtaz, et al. "Core-Shell Double Gyroid Structure Formed by Linear ABC Terpolymer Thin Films." Macromolecular Rapid Communications 39, no. 9 (2018): 1800043. http://dx.doi.org/10.1002/marc.201800043.

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36

Hückstädt, Hanno, Thorsten Goldacker, Astrid Göpfert, and Volker Abetz. "Core−Shell Double Gyroid Morphologies in ABC Triblock Copolymers with Different Chain Topologies†." Macromolecules 33, no. 10 (2000): 3757–61. http://dx.doi.org/10.1021/ma9921551.

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37

Wang, Hsiao-Fang, Lv-Hong Yu, Xin-Bo Wang, and Rong-Ming Ho. "A Facile Method To Fabricate Double Gyroid as a Polymer Template for Nanohybrids." Macromolecules 47, no. 22 (2014): 7993–8001. http://dx.doi.org/10.1021/ma501957b.

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38

Feng, Xueyan, Christopher J. Burke, Mujin Zhuo, et al. "Seeing mesoatomic distortions in soft-matter crystals of a double-gyroid block copolymer." Nature 575, no. 7781 (2019): 175–79. http://dx.doi.org/10.1038/s41586-019-1706-1.

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39

Gao, Jia, Chao Lv, Kun An, et al. "Observation of Double Gyroid and Hexagonally Perforated Lamellar Phases in ABCBA Pentablock Terpolymers." Macromolecules 53, no. 21 (2020): 9641–53. http://dx.doi.org/10.1021/acs.macromol.0c01372.

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40

Poppe, Silvio, Changlong Chen, Feng Liu, and Carsten Tschierske. "A skeletal double gyroid formed by single coaxial bundles of catechol based bolapolyphiles." Chemical Communications 54, no. 79 (2018): 11196–99. http://dx.doi.org/10.1039/c8cc06956e.

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41

Seddon, Annela M., James Hallett, Charlotte Beddoes, Tomás S. Plivelic, and Adam M. Squires. "Experimental Confirmation of Transformation Pathways between Inverse Double Diamond and Gyroid Cubic Phases." Langmuir 30, no. 20 (2014): 5705–10. http://dx.doi.org/10.1021/la5005837.

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42

Hashimoto, Takeji, Yukihiro Nishikawa, and Kiyoharu Tsutsumi. "Identification of the “Voided Double-Gyroid-Channel”: A New Morphology in Block Copolymers." Macromolecules 40, no. 4 (2007): 1066–72. http://dx.doi.org/10.1021/ma061739h.

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43

Chu, Che-Yi, Wen-Fu Lin, Jing-Cherng Tsai, et al. "Order–Order Transition between Equilibrium Ordered Bicontinuous Nanostructures of Double Diamond and Double Gyroid in Stereoregular Block Copolymer." Macromolecules 45, no. 5 (2012): 2471–77. http://dx.doi.org/10.1021/ma202057g.

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44

Zhu, Chenhui. "Molecular packing in double gyroid cubic phases revealed via resonant soft X-ray scattering." Acta Crystallographica Section A Foundations and Advances 77, a1 (2021): a220. http://dx.doi.org/10.1107/s0108767321097798.

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45

Phillips, Carolyn L., Christopher R. Iacovella, and Sharon C. Glotzer. "Stability of the double gyroid phase to nanoparticle polydispersity in polymer-tethered nanosphere systems." Soft Matter 6, no. 8 (2010): 1693. http://dx.doi.org/10.1039/b911140a.

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46

Dair, Benita J., Christian C. Honeker, David B. Alward, et al. "Mechanical Properties and Deformation Behavior of the Double Gyroid Phase in Unoriented Thermoplastic Elastomers." Macromolecules 32, no. 24 (1999): 8145–52. http://dx.doi.org/10.1021/ma990666h.

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47

Matsuoka, Fumiaki, Kevin E. Fritz, Peter A. Beaucage, Fei Yu, Jin Suntivich, and Ulrich Wiesner. "Iron and nitrogen-doped double gyroid mesoporous carbons for oxygen reduction in acidic environments." Journal of Physics: Energy 3, no. 1 (2020): 015001. http://dx.doi.org/10.1088/2515-7655/abc31a.

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48

Lee, Hui-Chun, Han-Yu Hsueh, U.-Ser Jeng, and Rong-Ming Ho. "Functionalized Nanoporous Gyroid SiO2 with Double-Stimuli-Responsive Properties as Environment-Selective Delivery Systems." Macromolecules 47, no. 9 (2014): 3041–51. http://dx.doi.org/10.1021/ma500360a.

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49

Jung, Jueun, Junyoung Lee, Hae-Woong Park, Taihyun Chang, Hidekazu Sugimori, and Hiroshi Jinnai. "Epitaxial Phase Transition between Double Gyroid and Cylinder Phase in Diblock Copolymer Thin Film." Macromolecules 47, no. 24 (2014): 8761–67. http://dx.doi.org/10.1021/ma5020275.

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50

Kibsgaard, Jakob, Ariel Jackson, and Thomas F. Jaramillo. "Mesoporous platinum nickel thin films with double gyroid morphology for the oxygen reduction reaction." Nano Energy 29 (November 2016): 243–48. http://dx.doi.org/10.1016/j.nanoen.2016.05.005.

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