Chiral structures from achiral liquid crystals in cylindrical capillaries

Proceedings of the National Academy of Sciences of the United States of America

Volumn 112, Issue 15, 2015, Pages E1837-E1884

  Jeong, Joonwoo ^a   Kang, Louis ^a   Davidson, Zoey S ^a   Collings, Peter J ^a,b   Lubensky, Tom C ^a   Yodh, A G ^a  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b SWARTHMORE COLLEGE   (United States)

Author keywords

Chiral defects; Mirror symmetry; Parity symmetry; Topological defects

Indexed keywords

SUNSET YELLOW;

ANISOTROPY; ARTICLE; CHEMICAL ANALYSIS; CHEMICAL STRUCTURE; CHIRALITY; LIQUID CRYSTAL; MATHEMATICAL COMPUTING; MICROSCOPY; PRIORITY JOURNAL; SIMULATION; YOUNG MODULUS;

ERINACEIDAE;

EID: 84928150225     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1423220112     Document Type: Article

References (75)

1. Pakhomov S, Hammer RP, Mishra BK, Thomas BN (2003) Chiral tubule self-assembly from an achiral diynoic lipid. Proc Natl Acad Sci USA 100(6): 3040-3042.
2. Pérez-García L, Amabilino DB (2007) Spontaneous resolution, whence and whither: From enantiomorphic solids to chiral liquid crystals, monolayers and macro- and supra-molecular polymers and assemblies. Chem Soc Rev 36(6):941-967.
3. Hough LE, et al. (2009) Chiral isotropic liquids from achiral molecules. Science 325(5939):452-456.
4. Green MM, Jain V (2010) Homochirality in life: Two equal runners, one tripped. Orig Life Evol Biosph 40(1):111-118.
5. Hatwalne Y, Muthukumar M (2010) Chiral symmetry breaking in crystals of achiral polymers. Phys Rev Lett 105(10):107801.
6. John McKinnon A, Harland DP (2011) A concerted polymerization-mesophase separation model for formation of trichocyte intermediate filaments and macrofibril templates. 1: Relating phase separation to structural development. J Struct Biol 173(2):229-240.
7. Pang J, Clark NA (1994) Observation of a chiral-symmetry-breaking twist-bend instability in achiral freely suspended liquid-crystal films. Phys Rev Lett 73(17):2332-2335.
8. Hough LE, et al. (2009) Helical nanofilament phases. Science 325(5939):456-460.
9. Viswanathan R, Zasadzinski JA, Schwartz DK (1994) Spontaneous chiral symmetry breaking by achiral molecules in a Langmuir-Blodgett film. Nature 368(6470): 440-443.
10. Link DR, et al. (1997) Spontaneous formation of macroscopic chiral domains in a fluid smectic phase of achiral molecules. Science 278(5345):1924-1927.
11. Green MM, et al. (1995) A helical polymer with a cooperative response to chiral information. Science 268(5219):1860-1866.
12. Qiu X, Ruiz-Garcia J, Stine KJ, Knobler CM, Selinger JV (1991) Direct observation of domain structure in condensed monolayer phases. Phys Rev Lett 67(6): 703-706.
13. Eckhardt CJ, et al. (1993) Separation of chiral phases in monolayer crystals of racemic amphiphiles. Nature 362(6421):614-616.
14. Selinger JV, Wang Z-G, Bruinsma RF, Knobler CM (1993) Chiral symmetry breaking in Langmuir monolayers and smectic films. Phys Rev Lett 70(8):1139-1142.
15. Hendry E, et al. (2010) Ultrasensitive detection and characterization of biomolecules using superchiral fields. Nat Nanotechnol 5(11):783-787.
16. Ohzono T, Yamamoto T, Fukuda J (2014) A liquid crystalline chirality balance for vapours. Nat Commun 5:3735.
17. Soukoulis CM, Wegener M (2011) Past achievements and future challenges in the development of three-dimensional photonic metamaterials. Nat Photonics 5(9):523-530.
18. Zhang S, et al. (2009) Negative refractive index in chiral metamaterials. Phys Rev Lett 102(2):023901-023904.
19. Vignolini S, et al. (2012) A 3D optical metamaterial made by self-assembly. Adv Mater 24(10):OP23-OP27.
20. Kang SH, et al. (2013) Buckling-induced reversible symmetry breaking and amplification of chirality using supported cellular structures. Adv Mater 25(24):3380-3385.
21. Green MM, et al. (1989) Macromolecular stereochemistry: The out-of-proportion influence of optically active comonomers on the conformational characteristics of polyisocyanates. The sergeants and soldiers experiment. J Am Chem Soc 111(16): 6452-6454.
22. Brunsveld L, Vekemans JA, Hirschberg JHKK, Sijbesma RP, Meijer EW (2002) Hierarchical formation of helical supramolecular polymers via stacking of hydrogen-bonded pairs in water. Proc Natl Acad Sci USA 99(8):4977-4982.
23. Zerrouki D, Baudry J, Pine D, Chaikin P, Bibette J (2008) Chiral colloidal clusters. Nature 455(7211):380-382.
24. Lohr MA, et al. (2010) Helical packings and phase transformations of soft spheres in cylinders. Phys Rev E Stat Nonlin Soft Matter Phys 81(4 Pt 1):040401.
25. Wu G, Xia Y, Yang S (2014) Buckling, symmetry breaking, and cavitation in periodically micro-structured hydrogel membranes. Soft Matter 10(9):1392-1399.
26. Kang SH, et al. (2014) Complex ordered patterns in mechanical instability induced geometrically frustrated triangular cellular structures. Phys Rev Lett 112(9):098701.
27. Snir Y, Kamien RD (2005) Entropically driven helix formation. Science 307(5712):1067.
28. Pokroy B, Kang SH, Mahadevan L, Aizenberg J (2009) Self-organization of a mesoscale bristle into ordered, hierarchical helical assemblies. Science 323(5911):237-240.
29. Lonberg F, Meyer RB (1985) New ground state for the Splay-Fréedericksz transition in a polymer nematic liquid crystal. Phys Rev Lett 55(7):718-721.
30. Williams R (1968) Optical rotatory effect in the nematic liquid phase of p-azoxyanisole. Phys Rev Lett 21(6):342-344.
31. Lavrentovich OD, Terent'ev EM (1986) Phase transition altering the symmetry of topological point defects (hedgehogs) in a nematic liquid crystal. Sov Phys JETP 64(6): 1237-1244.
32. Lavrentovich OD (1992) Geometrical anchoring at an inclined surface of a liquid crystal. Phys Rev A 46(2):R722-R725.
33. Yang D-K, Jeong K-U, Cheng SZD (2008) Structure of liquid crystal droplets with chiral propeller texture. J Phys Chem B 112(5):1358-1366.
34. Volovik GE, Lavrentovich OD (1983) Topological dynamics of defects: Boojums in nematic drops. Sov Phys JETP 58(6):1159-1166.
35. Williams RD (1986) Two transitions in tangentially anchored nematic droplets. J Phys A: Math Gen 19(16):3211-3222.
36. Lavrentovich OD, Sergan VV (1990) Parity-breaking phase transition in tangentially anchored nematic drops. Nuovo Cimento D 12(9):1219-1222.
37. Jeong J, Davidson ZS, Collings PJ, Lubensky TC, Yodh AG (2014) Chiral symmetry breaking and surface faceting in chromonic liquid crystal droplets with giant elastic anisotropy. Proc Natl Acad Sci USA 111(5):1742-1747.
38. Tortora L, Lavrentovich OD (2011) Chiral symmetry breaking by spatial confinement in tactoidal droplets of lyotropic chromonic liquid crystals. Proc Natl Acad Sci USA 108(13):5163-5168.
39. Drzaic PS (1999) A case of mistaken identity: Spontaneous formation of twisted bipolar droplets from achiral nematic materials. Liq Cryst 26(5):623-627.
40. Prinsen P, van der Schoot P (2003) Shape and director-field transformation of tactoids. Phys Rev E Stat Nonlin Soft Matter Phys 68(2 Pt 1):021701.
41. Prinsen P, van der Schoot P (2004) Parity breaking in nematic tactoids. J Phys Condens Matter 16(49):8835-8850.
42. Press M, Arrott A (1974) Theory and experiments on configurations with cylindrical symmetry in liquid-crystal droplets. Phys Rev Lett 33(7):403-406.
43. Pairam E, et al. (2013) Stable nematic droplets with handles. Proc Natl Acad Sci USA 110(23):9295-9300.
44. Koning V, van Zuiden BC, Kamien RD, Vitelli V (2014) Saddle-splay screening and chiral symmetry breaking in toroidal nematics. Soft Matter 10(23):4192-4198.
45. Lavrentovich OD, Pergamenshchik VM (1990) Periodic domain structures in thin hybrid nematic layers. Mol Cryst Liq Cryst Incorporating Nonlinear Optics 179(1):125-132.
46. Pergamenshchik VM (1993) Surfacelike-elasticity-induced spontaneous twist deformations and long-wavelength stripe domains in a hybrid nematic layer. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 47(3):1881-1892.
47. Ondris-Crawford RJ, Crawford GP, Zumer S, Doane JW (1993) Curvature-induced configuration transition in confined nematic liquid crystals. Phys Rev Lett 70(2):194-197.
48. Kitzerow H, Liu B, Xu F, Crooker PP (1996) Effect of chirality on liquid crystals in capillary tubes with parallel and perpendicular anchoring. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 54(1):568-575.
49. Ambrozic M, Zumer S (1996) Chiral nematic liquid crystals in cylindrical cavities. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 54(5):5187-5197.
50. Ambrožič M, Žumer S (1999) Axially twisted chiral nematic structures in cylindrical cavities. Phys Rev E Stat Nonlin Soft Matter Phys 59(4):4153-4160.
51. Williams C, Bouligand Y (1974) Fils et disinclinaisons dans un nématique en tube capillaire. J Phys France 35(7-8):589-593.
52. Cladis PE, White AE, Brinkman WF (1979) The cholesteric defect structure near the smectic A transition. J Phys France 40(3):325-335.
53. Jeong J, et al. (2014) Homeotropic alignment of lyotropic chromonic liquid crystals using noncovalent interactions. Langmuir 30(10):2914-2920.
54. Zhou S, Sokolov A, Lavrentovich OD, Aranson IS (2014) Living liquid crystals. Proc Natl Acad Sci USA 111(4):1265-1270.
55. Mushenheim PC, Trivedi RR, Tuson HH, Weibel DB, Abbott NL (2014) Dynamic selfassembly of motile bacteria in liquid crystals. Soft Matter 10(1):88-95.
56. Zhou S, et al. (2012) Elasticity of lyotropic chromonic liquid crystals probed by director reorientation in a magnetic field. Phys Rev Lett 109(3):037801.
57. Zhou S, et al. (2014) Elasticity, viscosity, and orientational fluctuations of a lyotropic chromonic nematic liquid crystal disodium cromoglycate. Soft Matter 10(34):6571-6581.
58. Cladis PE, Kléman M (1972) Non-singular disclinations of strength S = + 1 in nematics. J Phys France 33(5-6):591-598.
59. Williams C, Pierański P, Cladis P (1972) Nonsingular S =+1 Screw Disclination Lines in Nematics. Phys Rev Lett 29(2):90-92.
60. Meyer RB (1973) On the existence of even indexed disclinations in nematic liquid crystals. Philos Mag (Abingdon) 27(2):405-424.
61. Melzer D, Nabarro FRN (1977) Cols and noeuds in a nematic liquid crystal with a homeotropic cylindrical boundary. Philos Mag (Abingdon) 35(4):907-915.
62. Cladis PE (1974) Study of the nematic and smectic A phases of N- p -cyanobenzylidene-p - n -octyloxyaniline in tubes. Philos Mag (Abingdon) 29(3):641-663.
63. Vilfan I, Vilfan M, Žumer S (1991) Defect structures of nematic liquid crystals in cylindrical cavities. Phys Rev A 43(12):6875-6880.
64. Crawford GP, Allender DW, Doane JW (1992) Surface elastic and molecular-anchoring properties of nematic liquid crystals confined to cylindrical cavities. Phys Rev A 45(12): 8693-8708.
65. Allender DW, Crawford GP, Doane JW (1991) Determination of the liquid-crystal surface elastic constant K24. Phys Rev Lett 67(11):1442-1445.
66. Polak RD, Crawford GP, Kostival BC, Doane JW, Žumer S (1994) Optical determination of the saddle-splay elastic constant K24 in nematic liquid crystals. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 49(2):R978-R981.
67. Ribó JM, Crusats J, Sagués F, Claret J, Rubires R (2001) Chiral sign induction by vortices during the formation of mesophases in stirred solutions. Science 292(5524):2063-2066.
68. Petit-Garrido N, Ignés-Mullol J, Claret J, Sagués F (2009) Chiral selection by interfacial shearing of self-assembled achiral molecules. Phys Rev Lett 103(23):237802.
69. Horowitz VR, Janowitz LA, Modic AL, Heiney PA, Collings PJ (2005) Aggregation behavior and chromonic liquid crystal properties of an anionic monoazo dye. Phys Rev E Stat Nonlin Soft Matter Phys 72(4 Pt 1):041710.
70. Edwards DJ, et al. (2008) Chromonic liquid crystal formation by Edicol Sunset Yellow. J Phys Chem B 112(46):14628-14636.
71. Park H-S, et al. (2008) Self-assembly of lyotropic chromonic liquid crystal Sunset Yellow and effects of ionic additives. J Phys Chem B 112(51):16307-16319.
72. Ding J, Yang Y (1992) Birefringence patterns of nematic droplets. Jpn J Appl Phys 31(Part 1, 9A):2837-2845.
73. Frank FC (1958) I. Liquid crystals. On the theory of liquid crystals. Discuss Faraday Soc 25:19-28.
74. De Gennes PG, Prost J (1993) The Physics of Liquid Crystals (Clarendon, Oxford), 2nd Ed.
75. Virga EG (1994) Variational Theories for Liquid Crystals (Chapman & Hall, London).