Spontaneous formation of cubic phases: a molecular dynamics study for soft repulsive spherocylinders

References

• Tardieu A, Billard J. On the structure of the smectic D modification. J Phys. 1976;37:79–81.
   Google Scholar
• Levelut AM, Clerc M. Structural study of the lamellar to columnar transition in thermotropic liquid crystals: the thermotropic cubic phase of some phasmidic molecules. J Phys Colloque. 1990;51:229–236.
   Google Scholar
• Kutsumizu S, Morita K, Ichikawa T, et al. Cubic phases of 4’-n-alkoxy-3’-nitrobiphenyl-4-carboxylic acids (ANBC-n). Liq Cryst. 2002;29: 1447–1458.
   Google Scholar
• Zeng X, Unger G, Impéror-Clerc M. A triple-network tricontinuous cubic liquid crystal. Nat Mater Chem. 2008;18:2953–2961.
   Web of Science ®Google Scholar
• Ozawa K, Yamamura Y, Yasukazu S, et al. Coexistence of two aggregation modes in exotic liquid-crystalline superstructure: systematic maximum entropy analysis for cubic mesogen [BABH(n)]. J Phys Chem B. 2008;112:12179–12181.
   PubMed Web of Science ®Google Scholar
• Dressel C, Liu F, Prehm M, et al. Dynamic mirror-symmetry breaking in bicontinuous cubic phases. Angew Chem Int Ed. 2014;53:13115–13120.
   PubMed Web of Science ®Google Scholar
• Zeng X, Unger G. Spontaneously chiral cubic liquid crystal: three interpenetrating networks with a twist. J Mater Chem C. 2020;8:5389–5398.
   Web of Science ®Google Scholar
• Cao Y, Alaasar M, Nallapaneni A, et al. Molecular packing in double gyroid cubic phases revealed via resonant soft X-ray scattering. Phys Rev Lett. 2020;125:027801.
   PubMed Web of Science ®Google Scholar
• Vaupotiĉ N, Salamończyk M, Matraszek J, et al. New structural model of a chiral cubic liquid crystalline phase. Phys Chem Chem Phys. 2020;22:12814–12820.
   PubMed Web of Science ®Google Scholar
• Alaasar M, Darweesh AF, Cai X, et al. Mirror symmetry breaking and network formation in achiral polycatenares with thioether tail. Chem Eur J. 2021;27:14921–14930.
   PubMed Web of Science ®Google Scholar
• Kutsumizu S, Mori H, Fukatami M, et al. Cubic phase formation and interplay between alkyl chains and hydrogen bonds in 1,2-bis(4’-n-alkoxybenzoly)hydrazine (BABH-n). Chem Mater. 2008;20:3675–3687.
   Web of Science ®Google Scholar
• Kutsumizu S, Yamada Y, Sugimoto T, et al. Systematic exploitation of thermotropic bicontinuous cubic phase families from 1,2-bis(aryloyl)hydrazine-based molecules. Phys Chem Chem Phys. 2018;20:7953–7961.
   PubMed Web of Science ®Google Scholar
• Saito K, Sato A, Sorai M. Do alkoxy chains behave like a solvent in the D phase? DSC study of binary systems, ANBC(nC) (nC = 8, 16 and 18) – n-tetradecane. Liq Cryst. 1998;25:525–530.
   Web of Science ®Google Scholar
• Kutsumizu S, Morita K, Yano S, et al. Cubic phases of binary systems of 4’-n-tetradecyloxy-3’-nitrobiphenyl-4-carboxylic acid (ANBC-14)–n-alkane. Liq Cryst. 2002;29:1459–1468.
   Web of Science ®Google Scholar
• Aoki KM, Akiyama T. Investigations of liquid crystalline phases by means of constant pressure molecular-dynamics simulation. Mol Cryst Liq Cryst. 1995;262:542–553.
   Web of Science ®Google Scholar
• Aoki KM, Akiyama T. Investigations of nematic-isotropic transition by means of constant pressure molecular dynamics simulations. Mol Simulat. 1996;16:99–105.
   Web of Science ®Google Scholar
• Aoki KM, Akiyama T. Molecular dynamics simulations of liquid crystal phase transitions. Mol Cryst Liq Cryst. 1997;299:45–50.
   Web of Science ®Google Scholar
• Aoki KM. Anisotropy in condensed matter - liquid crystals, glass, and phase coexistence. J Phys. 2019;1252:012004.
   Google Scholar
• Aoki KM. Symplectic integrators designed for simulating soft matter. J Phys Soc Jpn. 2008;77:044003.
   Google Scholar
• Appendix of Aoki KM, Ohnishi S, Sogo K. Molecular dynamics in the light of non- equilibrium thermodynamics. J Phys Soc Jpn. 2022;91:074010.
   Google Scholar
• Aoki KM, Yonezawa F. Constant-pressure molecular-dynamics simulations of the crystal smectic transition in systems of soft parallel spherocylinders. Phys Rev A 1992;46:6541–6549.
   Google Scholar
• Shönhöfer PWA, Ellison LJ, Marechal M, et al. Purely entropic self-assembly of the bicontinuous Ia3d gyroid phase in equilibrium hard-pair systems. Interface Focus. 2017;7:20160161.
   PubMed Web of Science ®Google Scholar
• Conway JH, Friedrichs OD, Huson DH, et al. On three-dimensional space groups. Algebra Geom. 2001;42:475–507.
   Google Scholar
• Conway JH. The orbifold notation for surface groups in groups, combinatorics & geometry (Durham, 1990). London Math Soc Lecture Note Ser. 1992;165:438–447.
   Google Scholar
• Ratcliffe JG, Tschantz ST. Fibered orbifolds and crystallographic groups. Algebraic Geom Topol. 2010;10:1627–1664.
   Web of Science ®Google Scholar
• de Gennes PG. An analogy between superconductors and smectic a. Solid State Commun. 1972;10:753–756.
   Web of Science ®Google Scholar
• Selinger JV. Director deformations, geometric frustration, and modulated phases in liquid crystals. Annu Rev Condens Matter. 2022;13:49–71.
   Web of Science ®Google Scholar
• Kamien RD, Mosna RA. The topology of dislocations in smectic liquid crystals. New J Phys. 2016;18:053012.
   Web of Science ®Google Scholar