A bicontinuous structure in some systems with cubic mesophases

Central European Journal of Physics

Volumn 2, Issue 3, 2004, Pages 535-555

  Yakunin, Andrei N ^a  

^a KARPOV INSTITUTE OF PHYSICAL CHEMISTRY   (Russian Federation)

Author keywords

Cubic mesophases; Nanostructure; Phase transitions; Polymer colloid complexes; SAXS; Self assembly

Indexed keywords

EID: 33747604144     PISSN: 16443608     EISSN: 16443608     Source Type: Journal    
DOI: 10.2478/BF02476431     Document Type: Article

References (60)

1. B.A. Parviz, D. Ryan and G.M. Whitesides: "Using self-assembly for the fabrication of nano-scale electron and photonic devices", IEEE Trans. Adv. Pack., Vol. 26, (2003), pp. 233-241.
2. J.M. Lehn: "Supramolecular chemistry - receptors, catalysts, and carriers", Science, Vol. 227, (1985), pp. 849-856.
3. J.M. Lehn: "Supramolecular chemistry - scope and perspectives molecules, supermolecules, and molecular devices", Angew. Chem. Int. Ed. Engl., Vol. 27, (1988), pp. 89-112.
4. H. Ringsdorf, B. Schlarb and J. Venzmer: "Molecular architecture and function in polymeric oriented systems. Models for the study of organization, surface recognition, and dynamics in biomembranes", Angew. Chem., Vol. 100, (1988), pp. 117-162.
5. H.J. Schneider and H. Durr: Frontiers in Supramolecular Organic Chemistry and Photochemistry, VCH, New York, 1993.
6. M. Shibayama and T. Tanaka: "Volume phase transition and related phenomena of polymer gels", Adv. Polym. Sci., Vol. 109, (1993), pp. 1-62.
7. A. Klug: "Macromolecular order in biology", Phil. Trans. Roy. Soc. London, Vol. 348A, (1994), pp. 167-178.
8. P. Mariani, V. Luzzati and H. Delacroix: "Cubic phases of lipid-containing systems. Structure analysis and biological implications", J. Mol. Biol., Vol. 204, (1988), pp. 165-189.
9. R.R. Balmbra, J.S. Clunie and J.F. Goodman: "Cubic mesomorphic phases", Nature, Vol. 222, (1969), pp. 1159-1160.
10. L.E. Scriven: "Equilibrium bicontinuous structure", Nature, Vol. 263, (1976), pp. 123-125.
11. M. Antonietti and J. Conrad: "Synthesis of very highly ordered liquid crystalline phases by complex formation of polyacrylic acid with cationic surfactants", Angew. Chem. Int. Ed. Engl., Vol. 33, (1994), pp. 1869-1870.
12. H. Okuzaki and Y. Osada: "Ordered-aggregate formation by surfactant-charged gel interaction", Macromolecules, Vol. 28, (1995), pp. 380-382.
13. E.L. Sokolov, F. Yeh, A.R. Khokhlov and B. Chu: "Nanoscale supramolecular ordering in gel-surfactant complexes: sodium alkyl sulfates in poly(diallyldimethylammonium chloride)", Langmuir, Vol. 12, (1996), pp. 6229-6234.
14. A.T. Dembo, A.N. Yakunin, V.S. Zaitsev, A.V. Mironov, S.G. Starodubtsev, A.R. Khokhlov and B. Chu: "Regular microstructures in gel-surfactant complexes: influence of water content and comparison with the surfactant structure in water", J. Polym. Sci.; Part B; Polym.Phys., Vol. 34, (1996), pp. 2893-2898.
15. Y.K. Kwon, S.N. Chvalun, J. Blackwell, V. Percec and J.A. Heck: "Effect of temperature on the supramolecular tubular structure in oriented fibers of a poly(methacrylate) with tapered side groups", Macromolecules, Vol. 28, (1995), pp. 1552-1558.
16. V.S.K. Balagurusamy, G. Ungar, V. Percec and G. Johansson: "Rational design of the first spherical supramolecular dendrimers self-organized in a novel thermotropic cubic liquid-crystalline phase and the determination of their shape by X-ray analysis", J. Am. Chem. Soc., Vol. 119, (1997), pp. 1539-1555.
17. D.J.P. Yeardley, G. Ungar, V. Percec, M.N. Holerca and G. Johansson: "Spherical Supramolecular Minidendrimers Self-Organized in an "Inverse Micellar"- like Thermotropic Body-Centered Cubic Liquid Crystalline Phase", J. Am. Chem. Soc., Vol. 122, (2000), pp. 1684-1689.
18. G. Ungar, Y. Liu, X. Zeng, V. Percec and W.-D. Cho: "Giant Supramolecular Liquid Crystal Lattice", Science, Vol. 299, (2003), pp. 1208-1211.
19. X. Zeng, G. Ungar, Y. Liu, V. Percec, A.E. Dulcey and J.K. Hobbs: "Supramolecular dendritic liquid quasicrystals", Nature, Vol. 428, (2004), pp. 157-160.
20. E.L. Thomas, D.B. Alward, D.J. Kinning, D.C. Martin, D.L. Handlin, Jr. and L.J. Fetters: "Ordered bicontinuous double-diamond structure of star block copolymers: a new equilibrium microdomain morphology", Macromolecules, Vol. 19, (1986), pp. 2197-2202.
21. H. Hasegawa, H. Tanaka, K. Yamasaki and T. Hashimoto: "Bicontinuous microdomain morphology of block copolymers. 1. Tetrapod-network structure of polystyrene-polyisoprene diblock polymers", Macromolecules, Vol. 20, (1987), pp. 1651-1662.
22. M.M. Disko, K.S. Liang, S.K. Behal, R.J. Roe and K.J. Jeon: "Catenoidlamellar phase in blends of styrene-butadiene diblock copolymer and homopolymer", Macromolecules, Vol. 26, (1993), pp. 2983-2986.
23. S. Förster, A.K. Khandpur, J. Zhao, F.S. Bates, I.W. Hamley, A.J. Ryan and W. Bras: "Complex phase behavior of polyisoprene-polystyrene diblock copolymers near the order-disorder transition", Macromolecules, Vol. 27, (1994), pp. 6922-6935.
24. M.E. Vigild, K. Almdal, K. Mortensen, I.W. Hamley, J.P.A. Fairclough and A.J. Ryan: "Transformations to and from the gyroid phase in a diblock copolymer", Macromolecules, Vol. 31, (1998), pp. 5702-5716.
25. B.J. Dair, C.C. Honeker, D.B. Alward, A. Avgeropoulos, N. Hadjichristidis, L.J. Fetters, M. Capel and E.L. Thomas: "Mechanical properties and deformation behavior of the double gyroid phase in unoriented thermoplastic elastomers", Macromolecules, Vol. 32, (1999), pp. 8145-8152.
26. Yu.V. Khandurina, A.T. Dembo, V.B. Rogacheva, A.B. Zezin and V.A. Kabanov: "Structure of polycomplexes composed of cross-linked sodium polyacrylate and cationic micelle-forming surfactants", Vysokomol. soed., Vol. 36A, (1994), pp. 235-240 (Polym. Sci., Ser. A, Vol. 36, (1994), p. 189).
27. M. Antonietti, J. Conrad and A. Thünemann: "Polyelectrolyte-surfactant complexes: a new type of solid, mesomorphous material", Macromolecules, Vol.27, (1994), pp. 6007-6011.
28. Yu.V. Khandurina, V.L. Alexeev, G.A. Evmenenko, A.T. Dembo, V.B. Rogacheva and A.B. Zezin: "On the structure of polyacrylate-surfactant complexes", J. Phys. II France, Vol. 5, (1995), pp. 337-342.
29. B. Chu, F. Yeh, E.L. Sokolov, S.G. Starodoubtsev and A.R. Khokhlov: "Interaction of slightly cross-linked gels of poly(diallyldimethylammonium chloride) with surfactants", Macromolecules, Vol. 28, (1995), pp. 8447-8449.
30. A.V. Mironov, S.G. Starodoubtsev, A.R. Khokhlov, A.T. Dembo and A.N. Yakunin: "Ordered nonstoichiometric polymer gel-surfactant complexes in aqueous medium with high ionic strength", Macromolecules, Vol. 31, (1998), pp. 7698-7705.
31. A.V. Mironov, S.G. Starodoubtsev, A.R. Khokhlov, A.T. Dembo and A.N. Yakunin: "Structural study of surfactant aggregates in polyelectrolyte gel", Colloids Surf., Vol. 147A, (1999), pp. 213-220.
32. L.M. Bronstein, O.A. Platonova, A.N. Yakunin, I.M. Yanovskaya, P.M. Valetsky, A.T. Dembo, E.E. Makhaeva, A.V. Mironov and A.R. Khokhlov: "Complexes of polyelectrolyte gels with oppositely charged surfactants: interaction with metal ions and metal nanoparticle formation", Langmuir, Vol. 14, (1998), pp. 252-259.
33. D.I. Svergun, E.V. Shtykova, A.T. Dembo, L.M. Bronstein, O.A. Platonova, A.N. Yakunin, P.M. Valetsky and A.R. Khokhlov: "Size distributions of metal nanoparticles in polyelectrolyte gels", J. Chem. Phys., Vol. 109, (1998), pp. 11109-11116.
34. L.M. Bronstein, O.A. Platonova, A.N. Yakunin, I.M. Yanovskaya, P.M. Valetsky, A.T. Dembo, E.S. Obolonkova, E.E. Makhaeva, A.V. Mironov and A.R. Khokhlov, "Metal colloid formation in the complexes of polyelectrolyte gels with oppositely charged surfactants", Colloids Surf., Vol. 147A, (1999), pp. 221-231.
35. D.I. Svergun, E.V. Shtykova, M.B. Kozin, V.V. Volkov, A.T. Dembo, E.V. Shtykova, Jr., L.M. Bronstein, O.A. Platonova, A.N. Yakunin, P.M. Valetsky and A.R. Khokhlov: "Small-angle X-ray scattering study of platinum-containing hydrogel/surfactant complexes", J. Phys. Chem. B, Vol. 104, (2000), pp. 5242-5250.
36. V. Percec, J. Heck, D. Tomazos, F. Falkenberg, H. Blackwell and G. Ungar: "Self-assembly of taper-shaped monoesters of oligo(ethylene oxide) with 3,4,5-tris(pdodecycloxybenzyloxy) benzoic acid and of their polymethacrylates into tubular supramolecular architectures displaying a columnar mesophase", J. Chem. Soc. Perkin Trans. 1, Vol. 22, (1993), pp. 2799-2811.
37. V. Percec, J. Heck, G. Johansson, D. Tomazos and G. Ungar: "Towards tobacco mosaic virus-like self-assembled supramolecular architectures", Makromol. Symp., Vol. 77, (1994), pp. 237-265.
38. V. Percec, G. Johansson, J. Heck, G. Ungar and S.V. Batty: "Molecular recognition directed self-assembly of supramolecular cylindrical channel-like architectures from 6,7,9,10,12,13,15,16- octahydro- 1,4,7,10,13-pentaoxabenzocyclopentadecen-2-ylmethyl 3,4,5-tris(p-dodecyloxybenzyl-oxy)benzoate", J. Chem. Soc. Perkin Trans. 1, Vol. 13, (1993), pp. 1411-1420.
39. Y.K. Kwon, S. Chvalun, A.-I. Schneider., J. Blackwell, V. Percec and J.A. Heck: "Supramolecular tubular structures of a polymethacrylate with tapered side groups in aligned hexagonal phases", Macromolecules, Vol. 27, (1994), pp. 6129-6132.
40. S.N. Chvalun, J. Blackwell, J.D. Cho, Y.K. Kwon, V. Percec and J.A. Heck: "Xray analysis of the internal rearrangement of the self-assembling columnar structure formed by a highly tapered molecule", Polymer, Vol. 39, (1998), pp. 4515-4522.
41. S.N. Chvalun, M.A. Shcherbina, I.V. Bykova, J. Blackwell and V. Percec: "Two- and three-dimensional mesophases formed by monodendrons based on gallic acid with partially fluorinated alkyl tails", Vysokomol. soed., Ser. A, Vol. 44, (2002), pp. 2134-2143 (Polym. Sci., Ser. A, Vol. 44, (2002), p. 1281).
42. F. Husson, H. Mustacchi and V. Luzzati: "La structure des collo"ydes d'association. II. Description des phases liquide-cristallines de plusieurs systèmes amphiphile-eau: amphiphiles anioniques, cationiques, non-ioniques", Acta Cryst., Vol. 13, (1960), pp. 668-677.
43. A.Guinier: Théorie et technique de la radiocristallographie, 2nd Ed., Dunod, Paris, 1956.
44. L.D. Landau: "On the theory of phase transitions. II", Zh. Eksp. Teor. Fiz., Vol. 7, (1937), pp. 627-632.
45. L.D. Landau and E.M. Lifshitz: Statistical Physics, Part 1, 4th revised Ed., Nauka-Fizmatlit, Moscow, 1995.
46. S.A. Brazovskii: "Phase transition of an isotropic system to the heterogeneous state", Zh. Eksp. Teor. Fiz., Vol. 68, (1975), pp. 175-185 (Sov. Phys. JETP, Vol. 41, (1975), p. 85).
47. S.A. Brazovskii, I.E. Dzyaloshinskii and A.R. Muratov: "Theory of weak crystallization", Zh. Eksp. Teor. Fiz., Vol. 93, (1987), pp. 1110-1124 (Sov. Phys. JETP, Vol. 66, (1987), p. 625).
48. L. Leibler: "Theory of microphase separation in block copolymers", Macromolecules, Vol. 13, (1980), pp. 1602-1617.
49. I.Ya. Erukhimovich: "Fluctuations and formation of domain structure in heteropolymers", Vysokomol. soyed., Vol. 24A, (1982), pp. 1942-1949 (Polym. Sci. USSR, Vol. 24, (1982), p. 2223).
50. G.H. Fredrickson and E.J. Helfand: "Fluctuation effects in the theory of microphase separation in block copolymers", J. Chem. Phys., Vol. 87, (1987), pp. 697-705.
51. I.Ya. Erukhimovich and A.R. Khokhlov: "Microphase separation in polymer systems: new approaches and objects", Vysokomol. soed., Vol. 35A, (1993), pp. 1808-1818 (Polym. Sci., Ser. A, Vol. 35, (1993), p. 1522).
52. A.R. Khokhlovand E.E. Dormidontova: "Self-organization in ion-containing polymer systems", Usp. Fiz. Nauk, Vol. 167, (1997), pp. 113-128 (Phys. Usp., Vol. 40, (1997), p. 109).
53. J.H. Chen and T.C. Lubensky: "Landau-Ginzburg mean-field theory for the nematic to smectic-C and nematic to smectic-A phase transitions", Phys. Rev. A, Vol. 14, (1976), pp. 1202-1207.
54. Y. Shapira, C.C. Becerra, N.F. Oliveira, Jr. and T.S. Chang: "Phase diagram, susceptibility, and magnetostriction of MnP: evidence for a Lifshitz point", Phys. Rev. B, Vol. 24, (1981), pp. 2780-2806.
55. J.F. Joanny and L. Leibler: "Weakly charged polyelectrolytes in a poor solvent", J. Phys. France, Vol. 51, (1990), pp. 545-557.
56. F.S. Bates, W. Maurer, T.P. Lodge, M.F. Schulz, M.W. Matsen, K. Almdal and K. Mortensen: "Isotropic Lifshitz behavior in block copolymer-homopolymer blends", Phys. Rev. Lett., Vol. 75, (1995), pp. 4429-4432.
57. H.W. Diehl and M. Shpot: "Critical behavior of m-axial Lifshitz points: field-theory analysis and ε-expansion results", Phys. Rev. B, Vol. 62, (2000), pp. 12338-12349.
58. M. Pleimling and M. Henkel: "Anisotropic scaling and generalized conformal invariance at Lifshitz points", Phys. Rev. Lett., Vol. 87, (2001), pp. 125702 (1-4).
59. International Tables for X-ray Crystallography, Vol. A, Kluwer Publishers, Dordrecht, Netherlands, 1995.
60. D.R. Dukeson, G. Ungar, V.S.K. Balagurusamy, V. Percec, G.A. Johansson and M. Glodde: "Application of Isomorphous Replacement in the Structure Determination of a Cubic Liquid Crystal Phase and Location of Counterions", J. Am. Chem. Soc., Vol. 125, (2003), pp. 15974-15980.