Setting things straight in ‘The twist-bend nematic: a case of mistaken identity’

References

• Freiser MJ. Ordered states of a nematic liquid. Phys Rev Lett. 1970;24(19):1041–1043.
   Web of Science ®Google Scholar
• Niori T, Sekine T, Watanabe J, et al. Distinct ferroelectric smectic liquid crystals consisting of banana shaped achiral molecules. J Mater Chem. 1996;6(7):1231–1233.
   Web of Science ®Google Scholar
• Link DR. Spontaneous formation of macroscopic chiral domains in a fluid smectic phase of achiral molecules. Science. 1997;278(5345):1924–1927.
   PubMed Web of Science ®Google Scholar
• Sekine T, Niori T, Watanabe J, et al. Spontaneous helix formation in smectic liquid crystals comprising achiral molecules. J Mater Chem. 1997;7(8):1307–1309.
   Web of Science ®Google Scholar
• Sepelj M, Lesac A, Baumeister U, et al. Intercalated liquid-crystalline phases formed by symmetric dimers with an alpha,omega-diiminoalkylene spacer. J Mater Chem. 2007;17(12):1154–1165.
   Web of Science ®Google Scholar
• Prasang C, Whitwood AC, Bruce DW. Spontaneous symmetry-breaking in halogen-bonded, bent-core liquid crystals: observation of a chemically driven Iso-N-N* phase sequence. Chem Commun. 2008:2137–2139.
   Google Scholar
• Goertz V, Southern C, Roberts NW, et al. Unusual properties of a bent-core liquid-crystalline fluid. Soft Matter. 2009;5(2):463–471.
   Web of Science ®Google Scholar
• Panov VP, Nagaraj M, Vij JK, et al. Spontaneous periodic deformations in nonchiral planar-aligned bimesogens with a nematic-nematic transition and a negative elastic constant. Phys Rev Lett. 2010;105(16):167801.
   PubMed Web of Science ®Google Scholar
• Cestari M, Diez-Berart S, Dunmur DA, et al. Phase behavior and properties of the liquid-crystal dimer 1“,7”-bis(4-cyanobiphenyl-4'-yl) heptane: A twist-bend nematic liquid crystal. Phys Rev E. 2011;84(3):031704.
   Web of Science ®Google Scholar
• Meyer RB. Molecular fluids. In: Balian R, Weill G, editors. XXV-1973 of Les Houches summer school in theoretical physics. New York: Gordon and Breach; 1976. p. 273–373.
   Google Scholar
• Lorman VL, Mettout B. Unconventional mesophases formed by condensed vector waves in a medium of achiral molecules. Phys Rev Lett. 1999;82(5):940–943.
   Web of Science ®Google Scholar
• Dozov I. On the spontaneous symmetry breaking in the mesophases of achiral banana-shaped molecules. EPL (Europhysics Letters). 2001;56(2):247–253.
   Google Scholar
• Memmer R. Liquid crystal phases of achiral banana-shaped molecules: a computer simulation study. Liq Cryst. 2002;29(4):483–496.
   Web of Science ®Google Scholar
• Hoffmann A, Vanakaras AG, Kohlmeier A, et al. On the structure of the Nx phase of symmetric dimers: inferences from NMR. Soft Matter. 2015;11(5):850–855.
   PubMed Web of Science ®Google Scholar
• Vanakaras AG, Photinos DJ. A molecular theory of nematic-nematic phase transitions in mesogenic dimers. Soft Matter. 2016;12(7):2208–2220.
   PubMed Web of Science ®Google Scholar
• Kumar A, Vanakaras AG, Photinos DJ. Polar molecular ordering in the N-x phase of bimesogens and enantiotopic discrimination in the NMR spectra of rigid prochiral solutes. J Phys Chem B. 2017;121(47):10689–10703.
   PubMed Web of Science ®Google Scholar
• Vanakaras AG, Photinos DJ. Molecular dynamics simulations of nematic phases formed by cyano-biphenyl dimers. Liq Cryst. 2018;45(13–15):2184–2196.
   Web of Science ®Google Scholar
• Samulski ET, Vanakaras AG, Photinos DJ. The twist-bend nematic: A case of mistaken identity. Liq Cryst. 2020;47(13):2092–2097.
   PubMed Web of Science ®Google Scholar
• Cestari M, Frezza E, Ferrarini A, et al. Crucial role of molecular curvature for the bend elastic and flexoelectric properties of liquid crystals: mesogenic dimers as a case study. J Mater Chem. 2011;21(33):12303–12308.
   Web of Science ®Google Scholar
• Mertelj A, Cmok L, Sebastian N, et al. Splay Nematic Phase. Phys Rev X. 2018;8(4):041025.
   Web of Science ®Google Scholar
• Chen D, Porada JH, Hooper JB, et al. Chiral heliconical ground state of nanoscale pitch in a nematic liquid crystal of achiral molecular dimers. Proc Natl Acad Sci. 2013;110(40):15931–15936.
   PubMed Web of Science ®Google Scholar
• Meyer C. Nematic twist-bend phase under external constraints. Liq Cryst. 2016;43(13–15):2144–2162.
   Web of Science ®Google Scholar
• Ferrarini A, Greco C, Luckhurst GR. On the flexoelectric coefficients of liquid crystal monomers and dimers: a computational methodology bridging length-scales. J Mater Chem. 2007;17(11):1039–1042.
   Web of Science ®Google Scholar
• Cestari M, Ferrarini A. Curvature elasticity of nematic liquid crystals: simply a matter of molecular shape? Insights from atomistic modeling. Soft Matter. 2009;5(20):3879–3887.
   Web of Science ®Google Scholar
• Meyer C, Luckhurst GR, Dozov I. Flexoelectrically driven electroclinic effect in the twist-bend nematic phase of achiral molecules with bent shapes. Phys Rev Lett. 2013;111(6):067801.
   PubMed Web of Science ®Google Scholar
• Shamid SM, Dhakal S, Selinger JV. Statistical mechanics of bend flexoelectricity and the twist-bend phase in bent-core liquid crystals. Phys Rev E. 2013;87(5):052503.
   Web of Science ®Google Scholar
• Greco C, Luckhurst GR, Ferrarini A. Molecular geometry, twist-bend nematic phase and unconventional elasticity: a generalised Maier-Saupe theory. Soft Matter. 2014;10(46):9318–9323.
   PubMed Web of Science ®Google Scholar
• Vaupotic N, Cepic M, Osipov MA, et al. Flexoelectricity in chiral nematic liquid crystals as a driving mechanism for the twist-bend and splay-bend modulated phases. Phys Rev E. 2014;89(3):030501.
   Web of Science ®Google Scholar
• Virga EG. Double-well elastic theory for twist-bend nematic phases. Phys Rev E. 2014;89(5):052502.
   Web of Science ®Google Scholar
• Barbero G, Evangelista LR, Rosseto MP, et al. Elastic continuum theory: towards understanding of the twist-bend nematic phases. Phys Rev E. 2015;92(3):030501.
   Web of Science ®Google Scholar
• Longa L, Pajak G. Modulated nematic structures induced by chirality and steric polarization. Phys Rev E. 2016;93(4):040701.
   PubMed Web of Science ®Google Scholar
• Matsuyama A. Director-pitch coupling-induced twist-bend nematic phase. J Phys Soc Jpn. 2016;85(11):114606.
   Google Scholar
• Osipov MA, Pajak G. Effect of polar intermolecular interactions on the elastic constants of bent-core nematics and the origin of the twist-bend phase. Eur Phys J E. 2016;39(4):45.
   PubMed Web of Science ®Google Scholar
• Paterson DA, Gao M, Kim YK, et al. Understanding the twist-bend nematic phase: the characterisation of 1-(4-cyanobiphenyl-4 ‘-yloxy)-6-(4-cyanobiphenyl-4 ‘-yl)hexane (CB6OCB) and comparison with CB7CB. Soft Matter. 2016;12(32):6827–6840.
   PubMed Web of Science ®Google Scholar
• Meyer C, Dozov I. Local distortion energy and coarse-grained elasticity of the twist-bend nematic phase. Soft Matter. 2016;12(2):574–580.
   PubMed Web of Science ®Google Scholar
• Kats EI, Lebedev VV. Landau theory for helical nematic phases. JETP Lett. 2014;100(2):110–113.
   Web of Science ®Google Scholar
• Dozov I, Meyer C. Analogy between the twist-bend nematic and the smectic A phases and coarse-grained description of the macroscopic NTB properties. Liq Cryst. 2017;44(1):4–23.
   Web of Science ®Google Scholar
• Greco C, Ferrarini A, Luckhurst GR, et al. Structural insights into the twist-bend nematic phase from the integration of 2H-NMR data and modelling: CB7CB and CB6OCB as case studies. Liq Cryst. 2018;45(13–15):2361–2375.
   Web of Science ®Google Scholar
• Pajak G, Longa L, Chrzanowska A. Nematic twist-bend phase in an external field. Proc Natl Acad Sci. 2018;115(44):10303–10312.
   Web of Science ®Google Scholar
• Lelidis I, Barbero G. Nonlinear nematic elasticity. J Mol Liq. 2019;275:116–121.
   Web of Science ®Google Scholar
• Parsouzi Z, Shamid SM, Borshch V, et al. Fluctuation Modes of a Twist-Bend Nematic Liquid Crystal. Phys Rev X. 2016;6(2):021041.
   Web of Science ®Google Scholar
• Meyer C, Luckhurst GR, Dozov I. The temperature dependence of the heliconical tilt angle in the twist-bend nematic phase of the odd dimer CB7CB. J Mater Chem C. 2015;3(2):318–328.
   Web of Science ®Google Scholar
• Panov VP, Balachandran R, Nagaraj M, et al. Microsecond linear optical response in the unusual nematic phase of achiral bimesogens. Appl Phys Lett. 2011;99(26):261903.
   Web of Science ®Google Scholar
• Garoff S, Meyer RB. Electro-clinic effect at AC phase-change in a chiral smectic liquid-crystal. Phys Rev Lett. 1977;38(15):848–851.
   Web of Science ®Google Scholar
• Meyer C, Dozov I, Davidson P, et al. Electric-field effects in the twist-bend nematic phase. In: Chien LC, Broer DJ, Musevic I, et al., editors. Emerging Liquid Crystal Technologies Xiii.
   Google Scholar
• Borshch V, Kim YK, Xiang J, et al. Nematic twist-bend phase with nanoscale modulation of molecular orientation. Nat Commun. 2013;4(1):2635.
   PubMed Web of Science ®Google Scholar
• Zhu CH, Tuchband MR, Young A, et al. Resonant carbon K-edge soft X-ray scattering from lattice-free heliconical molecular ordering: soft dilative elasticity of the twist-bend liquid crystal phase. Phys Rev Lett. 2016;116(14):147803.
   PubMed Web of Science ®Google Scholar
• Salamonczyk M, Vaupotic N, Pociecha D, et al. Structure of nanoscale-pitch helical phases: blue phase and twist-bend nematic phase resolved by resonant soft X-ray scattering. Soft Matter. 2017;13(38):6694–6699.
   PubMed Web of Science ®Google Scholar
• Stevenson WD, Ahmed Z, Zeng XB, et al. Molecular organization in the twist-bend nematic phase by resonant X-Ray scattering at the Se K-edge and by SAXS,WAXS and GIXRD. Phys Chem Chem Phys. 2017;19(21):13449–13454.
   PubMed Web of Science ®Google Scholar
• Salamonczyk M, Mandle RJ, Makal A, et al. Double helical structure of the twist-bend nematic phase investigated by resonant X-Ray scattering at the carbon and sulfur K-edges. Soft Matter. 2018;14(48):9760–9763.
   PubMed Web of Science ®Google Scholar
• Stevenson WD, Zeng XB, Welch C, et al. Macroscopic chirality of twist-bend nematic phase in bent dimers confirmed by circular dichroism. J Mater Chem C. 2020;8(3):1041–1047.
   Web of Science ®Google Scholar
• Frank FC. On the theory of liquid crystals. Discuss Faraday Soc. 1958;25:19–28.
   Google Scholar
• de Gennes PG, Prost J. The physics of liquid crystals. Clarendon Press, Oxford; 1994.
   Google Scholar
• Sheng P. Boundary-layer phase-transition in nematic liquid-crystals. Phys Rev A. 1982;26(3):1610–1617.
   Web of Science ®Google Scholar
• Schopohl N, Sluckin TJ. Defect core structure in nematic liquid-crystals. Phys Rev Lett. 1987;59(22):2582–2584.
   PubMed Web of Science ®Google Scholar
• Lubensky TC, Pettey D, Currier N, et al. Topological defects and interactions in nematic emulsions. Phys Rev E. 1998;57(1):610–625.
   Web of Science ®Google Scholar
• Stark H. Physics of colloidal dispersions in nematic liquidcrystals. Phys Rep. 2001;351(6):387–474.
   Google Scholar
• Paterson DA, Abberley JP, Harrison WTA, et al. Cyanobiphenyl-based liquid crystal dimers and the twist-bend nematic phase. Liq Cryst. 2017;44(1):127–146.
   Web of Science ®Google Scholar
• Yun C-J, Vengatesan MR, Vij JK, et al. Hierarchical elasticity of bimesogenic liquid crystals with twist-bend nematic phase. Appl Phys Lett. 2015;106(17):173102.
   Web of Science ®Google Scholar
• Dozov I. personal comment: now, 20 years later, my guess remains that the N-N_TB transition is so rare among the bent-core molecules compared to the curved dimers is, most probably, for the same reason - the pretransitional interference between the similar pitches of the layered smectic phase and the pseudo-layered N_TB phase.
   Google Scholar
• Meyer C, Luckhurst GR, Dozov I Broken-symmetry nematic banana phases: predictions and reality, Presented at 24th International Liquid Crystal Conference, August 19th - 24th 2012, Mainz, Germany.
   Google Scholar
• Greco C, Luckhurst GR, Ferrarini A. Enantiotopic discrimination and director organization in the twist-bend nematic phase. Phys Chem Chem Phys. 2013;15(36):14961–14965.
   PubMed Web of Science ®Google Scholar
• Dawood AA, Grossel MC, Luckhurst GR, et al. On the twist-bend nematic phase formed directly from the isotropic phase. Liq Cryst. 2016;43(1):2–12.
   Web of Science ®Google Scholar
• Cifelli M, Domenici V, Dvinskikh SV, et al. The twist-bend nematic phase: translational self-diffusion and biaxiality studied by 1H nuclear magnetic resonance diffusometry. Liq Cryst. 2017;44(1):204–218.
   Web of Science ®Google Scholar
• Mandle RJ, Davis EJ, Archbold CT, et al. Apolar bimesogens and the incidence of the twist-bend nematic phase. Chem Eur J. 2015;21(22):8158–8167.
   PubMed Web of Science ®Google Scholar
• Haller I. Thermodynamic and static properties of liquid crystals. Prog Solid State Chem. 1975;10:103.
   Google Scholar
• Dozov I. To bend, or not to bend: that is the question. Presented at 25th International Liquid Crystal Conference, 29 Jun 4 Jul 2014, Dublin, Ireland.
   Google Scholar
• Mandle RJ, Mertelj A. Orientational order in the splay nematic ground state. Phys Chem Chem Phys. 2019;21(34):18769–18772.
   PubMed Web of Science ®Google Scholar
• Copic M, Mertelj A. Q-tensor model of twist-bend and splay nematic phases. Phys Rev E. 2020;101(2):022704.
   PubMed Web of Science ®Google Scholar
• Chen X, Korblova E, Dong D, et al. First-principles experimental demonstration of ferroelectricity in a thermotropic nematic liquid crystal: spontaneous polar domains and striking electro-optics. Proc Natl Acad Sci. 2020;117(25):14021-14031.
   Google Scholar
• The reports of my death are greatly exaggerated. The text of a cable sent by Mark Twain from London to the press in the United States after his obituary had been mistakenly published.
   Google Scholar