Chapter 4.4. Scattering from mesomorphic structures

References

Aeppli, G. & Bruinsma, R. (1984). Hexatic order and liquid crystal density fluctuations. Phys. Rev. Lett. 53, 2133–2136.Google Scholar
Aeppli, G., Litster, J. D., Birgeneau, R. J. & Pershan, P. S. (1981). High resolution X-ray study of the smectic A–smectic B phase transition and the smectic B phase in butyloxybenzylidene octylaniline. Mol. Cryst. Liq. Cryst. 67, 205–214.Google Scholar
Aharony, A., Birgeneau, R. J., Brock, J. D. & Litster, J. D. (1986). Multicriticality in hexatic liquid crystals. Phys. Rev. Lett. 57, 1012–1015.Google Scholar
Alben, R. (1973). Phase transitions in a fluid of biaxial particles. Phys. Rev. Lett. 30, 778–781.Google Scholar
Als-Nielsen, J., Christensen, F. & Pershan, P. S. (1982). Smectic-A order at the surface of a nematic liquid crystal: synchrotron X-ray diffraction. Phys. Rev. Lett. 48, 1107–1110.Google Scholar
Als-Nielsen, J., Litster, J. D., Birgeneau, R. J., Kaplan, M., Safinya, C. R., Lindegaard, A. & Mathiesen, S. (1980). Observation of algebraic decay of positional order in a smectic liquid crystal. Phys. Rev. B, 22, 312–320.Google Scholar
Bak, P., Mukamel, D., Villain, J. & Wentowska, K. (1979). Commensurate–incommensurate transitions in rare-gas monolayers adsorbed on graphite and in layered charge-density-wave systems. Phys. Rev. B, 19, 1610–1613.Google Scholar
Barois, P., Prost, J. & Lubensky, T. C. (1985). New critical points in frustrated smectics. J. Phys. (Paris), 46, 391–399.Google Scholar
Beaglehole, D. (1982). Pretransition order on the surface of a nematic liquid crystal. Mol. Cryst. Liq. Cryst. 89, 319–325.Google Scholar
Benattar, J. J., Doucet, J., Lambert, M. & Levelut, A. M. (1979). Nature of the smectic F phase. Phys. Rev. A, 20, 2505–2509.Google Scholar
Benattar, J. J., Levelut, A. M. & Strzelecki, L. (1978). Etude de l'influence de la longueur moléculaire les charactéristiques des phases smectique ordonnées. J. Phys. (Paris), 39, 1233–1240.Google Scholar
Benattar, J. J., Moussa, F. & Lambert, M. (1980). Two-dimensional order in the smectic F phase. J. Phys. (Paris), 40, 1371–1374.Google Scholar
Benattar, J. J., Moussa, F. & Lambert, M. (1983). Two dimensional ordering in liquid crystals: the SmF and SmI phases. J. Chim. Phys. 80, 99–107.Google Scholar
Benattar, J. J., Moussa, F., Lambert, M. & Germian, C. (1981). Two kinds of two-dimensional order: the SmF and SmI phases. J. Phys. (Paris) Lett. 42, L67–L70.Google Scholar
Benguigui, L. (1979). A Landau theory of the NAC point. J. Phys. (Paris) Colloq. 40, C3–419–C3–421.Google Scholar
Bensimon, D., Domany, E. & Shtrikman, S. (1983). Optical activity of cholesteric liquid crystals in the pretransitional regime and in the blue phase. Phys. Rev. A, 28, 427–433.Google Scholar
Billard, J., Dubois, J. C., Vaucher, C. & Levelut, A. M. (1981). Structures of the two discophases of rufigallol hexa-n-octanoate. Mol. Cryst. Liq. Cryst. 66, 115–122.Google Scholar
Birgeneau, R. J., Garland, C. W., Kasting, G. B. & Ocko, B. M. (1981). Critical behavior near the nematic–smectic-A transition in butyloxybenzilidene octylaniline (4O.8). Phys. Rev. A, 24, 2624–2634.Google Scholar
Birgeneau, R. J. & Litster, J. D. (1978). Bond orientational order model for smectic B liquid crystals. J. Phys. (Paris) Lett. 39, L399–L402.Google Scholar
Blinc, R. & Levanyuk, A. P. (1986). Editors. Modern problems in condensed matter sciences, incommensurate phases in dielectrics, 2. Materials. Amsterdam: North-Holland.Google Scholar
Brisbin, D., De Hoff, R., Lockhart, T. E. & Johnson, D. L. (1979). Specific heat near the nematic–smectic-A tricritical point. Phys. Rev. Lett. 43, 1171–1174.Google Scholar
Brock, J. D., Aharony, A., Birgeneau, R. J., Evans-Lutterodt, K. W., Litster, J. D., Horn, P. M., Stephenson, G. B. & Tajbakhsh, A. R. (1986). Orientational and positional order in a tilted hexatic liquid crystal phase. Phys. Rev. Lett. 57, 98–101.Google Scholar
Brooks, J. D. & Taylor, G. H. (1968). In Chemistry and physics of carbon, Vol. 3, edited by P. L. Walker Jr, pp. 243–286. New York: Marcel Dekker.Google Scholar
Bruinsma, R. & Nelson, D. R. (1981). Bond orientational order in smectic liquid crystals. Phys. Rev. B, 23, 402–410.Google Scholar
Caillé, A. (1972). Remarques sur la diffusion des rayons X dans les smectiques A. C. R. Acad. Sci. Sér. B, 274, 891–893.Google Scholar
Carlson, J. M. & Sethna, J. P. (1987). Theory of the ripple phase in hydrated phospholipid bilayers. Phys. Rev. A, 36, 3359–3363.Google Scholar
Chan, K. K., Deutsch, M., Ocko, B. M., Pershan, P. S. & Sorensen, L. B. (1985). Integrated X-ray scattering intensity measurement of the order parameter at the nematic to smectic-A phase transition. Phys. Rev. Lett. 54, 920–923.Google Scholar
Chan, K. K., Pershan, P. S., Sorensen, L. B. & Hardouin, F. (1985). X-ray scattering study of the smectic-A1 to smectic-A2 transition. Phys. Rev. Lett. 54, 1694–1697.Google Scholar
Chan, K. K., Pershan, P. S., Sorensen, L. B. & Hardouin, F. (1986). X-ray studies of transitions between nematic, smectic-A1, -A2, and -Ad phases. Phys. Rev. A, 34, 1420–1433.Google Scholar
Chandrasekhar, S. (1982). In Advances in liquid crystals, Vol. 5, edited by G. H. Brown, pp. 47–78. London/New York: Academic Press.Google Scholar
Chandrasekhar, S. (1983). Liquid crystals of disk-like molecules. Philos. Trans. R. Soc. London Ser. A, 309, 93–103.Google Scholar
Chandrasekhar, S., Sadashiva, B. K. & Suresh, K. A. (1977). Liquid crystals of disk like molecules. Pramana, 9, 471–480.Google Scholar
Chapman, D., Williams, R. M. & Ladbrooke, B. D. (1967). Physical studies of phospholipids. VI. Thermotropic and lyotropic mesomorphism of some 1,2-diacylphosphatidylcholines (lecithins). Chem. Phys. Lipids, 1, 445–475.Google Scholar
Chen, J. H. & Lubensky, T. C. (1976). Landau–Ginzberg mean-field theory for the nematic to smectic-C and nematic to smectic-A phase transitions. Phys. Rev. A, 14, 1202–1207.Google Scholar
Chu, K. C. & McMillan, W. L. (1977). Unified Landau theory for the nematic, smectic A and smectic C phases of liquid crystals. Phys. Rev. A, 15, 1181–1187.Google Scholar
Coates, D. & Gray, G. W. (1975). A correlation of optical features of amorphous liquid–cholesteric liquid crystal transitions. Phys. Lett. A, 51, 335–336.Google Scholar
Collett, J. (1983). PhD thesis, Harvard University, USA. Unpublished.Google Scholar
Collett, J., Pershan, P. S., Sirota, E. B. & Sorensen, L. B. (1984). Synchrotron X-ray study of the thickness dependence of the phase diagram of thin liquid-crystal films. Phys. Rev. Lett. 52, 356–359.Google Scholar
Collett, J., Sorensen, L. B., Pershan, P. S. & Als-Nielsen, J. (1985). X-ray scattering study of restacking transitions in the crystalline-B phases of heptyloxybenzylidene heptylaniline 7O.7. Phys. Rev. A, 32, 1036–1043.Google Scholar
Collett, J., Sorensen, L. B., Pershan, P. S., Litster, J., Birgeneau, R. J. & Als-Nielsen, J. (1982). Synchrotron X-ray study of novel crystalline-B phases in 7O.7 Phys. Rev. Lett. 49, 553–556.Google Scholar
Crooker, P. P. (1983). The cholesteric blue phase: a progress report. Mol. Cryst. Liq. Cryst. 98, 31–45.Google Scholar
Davey, S. C., Budai, J., Goodby, J. W., Pindak, R. & Moncton, D. E. (1984). X-ray study of the hexatic-B to smectic-A phase transition in liquid crystal films. Phys. Rev. Lett. 53, 2129–2132.Google Scholar
Davidov, D., Safinya, C. R., Kaplan, M., Dana, S. S., Schaetzing, R., Birgeneau, R. J. & Litster, J. D. (1979). High-resolution X-ray and light-scattering study of critical behavior associated with the nematic–smectic-A transition in 4-cyano-4′-octylbiphenyl. Phys. Rev. B, 19, 1657–1663.Google Scholar
De Gennes, P. G. (1969a). Conjectures sur l'état smectique. J. Phys. (Paris) Colloq. 30, C4–65–C4–71.Google Scholar
De Gennes, P. G. (1969b). Phenomenology of short-range-order effects in the isotropic phase of nematic materials. Phys. Lett. A, 30, 454–455.Google Scholar
De Gennes, P. G. (1971). Short range order effects in the isotropic phase of nematics and cholesterics. Mol. Cryst. Liq. Cryst. 12, 193–214.Google Scholar
De Gennes, P. G. (1972). An analogy between superconductors and smectics A. Solid State Commun. 10, 753–756.Google Scholar
De Gennes, P. G. (1973). Some remarks on the polymorphism of smectics. Mol. Cryst. Liq. Cryst. 21, 49–76.Google Scholar
De Gennes, P. G. (1974). The physics of liquid crystals. Oxford: Clarendon Press.Google Scholar
Demus, D., Diele, S., Klapperstück, M., Link, V. & Zaschke, H. (1971). Investigation of a smectic tetramorphous substance. Mol. Cryst. Liq. Cryst. 15, 161–169.Google Scholar
Destrade, C., Gasparoux, H., Foucher, P., Tinh, N. H., Malthête, J. & Jacques, J. (1983). Molecules discoides et polymorphisme mesomorphe. J. Chim. Phys. 80, 137–148.Google Scholar
De Vries, H. L. (1951). Rotary power and other optical properties of liquid crystals. Acta Cryst. 4, 219–226.Google Scholar
Diele, S., Brand, P. & Sackmann, H. (1972). X-ray diffraction and polymorphism of smectic liquid crystals. II. D and E modifications. Mol. Cryst. Liq. Cryst. 17, 163–169.Google Scholar
Djurek, D., Baturic-Rubcic, J. & Franulovic, K. (1974). Specific-heat critical exponents near the nematic–smectic-A phase transition. Phys. Rev. Lett. 33, 1126–1129.Google Scholar
Doucet, J. (1979). In Molecular physics of liquid crystals, edited by G. W. Gray & G. R. Luckhurst, pp. 317–341. London/New York: Academic Press.Google Scholar
Doucet, J. & Levelut, A. M. (1977). X-ray study of the ordered smectic phases in some benzylideneanilines. J. Phys. (Paris), 38, 1163–1170.Google Scholar
Doucet, J., Levelut, A. M., Lambert, M., Lievert, L. & Strzelecki, L. (1975). Nature de la phase smectique. J. Phys. (Paris) Colloq. 36, C1–13–C1–19.Google Scholar
Etherington, G., Leadbetter, A. J., Wang, X. J., Gray, G. W. & Tajbakhsh, A. (1986). Structure of the smectic D phase. Liq. Cryst. 1, 209–214.Google Scholar
Faetti, S., Gatti, M., Palleschi, V. & Sluckin, T. J. (1985). Almost critical behavior of the anchoring energy at the interface between a nematic liquid crystal and a substrate. Phys. Rev. Lett. 55, 1681–1684.Google Scholar
Faetti, S. & Palleschi, V. (1984). Nematic isotropic interface of some members of the homologous series of the 4-cyano-4′-(n-alkyl)biphenyl liquid crystals. Phys. Rev. A, 30, 3241–3251.Google Scholar
Fan, C. P. & Stephen, M. J. (1970). Isotropic–nematic phase transition in liquid crystals. Phys. Rev. Lett. 25, 500–503.Google Scholar
Farber, A. S. (1985). PhD thesis, Brandeis University, USA. Unpublished.Google Scholar
Fleming, R. M., Moncton, D. E., McWhan, D. B. & DiSalvo, F. J. (1980). In Ordering in two dimensions. Proceedings of an International Conference held at Lake Geneva, Wisconsin, edited by S. K. Sinha, pp. 131–134. New York: North-Holland.Google Scholar
Fontell, K. (1974). In Liquid crystals and plastic crystals, Vol. II, edited by G. W. Gray & P. A. Winsor, pp. 80–109. Chichester, England: Ellis Horwood.Google Scholar
Fontes, E., Heiney, P. A., Haseltine, J. H. & Smith, A. B. III (1986). High resolution X-ray scattering study of the multiply reentrant polar mesogen DB9ONO₂. J. Phys. (Paris), 47, 1533–1539.Google Scholar
Frank, F. C. & van der Merwe, J. H. (1949). One-dimensional dislocations. I. Static theory. Proc. R. Soc. London Ser. A, 198, 205–216.Google Scholar
Freiser, M. J. (1971). Successive transitions in a nematic liquid. Mol. Cryst. Liq. Cryst. 14, 165–182.Google Scholar
Friedel, G. (1922). Les états mésomorphes de la matière. Ann. Phys. (Paris), 18, 273–274.Google Scholar
Gane, P. A. C. & Leadbetter, A. J. (1981). The crystal and molecular structure of N-(4-n-octyloxybenzylidene)-4′-butylaniline (8O.4) and the crystal–smectic G transition. Mol. Cryst. Liq. Cryst. 78, 183–200.Google Scholar
Gane, P. A. C. & Leadbetter, A. J. (1983). Modulated crystal B phases and the B- to G-phase transition in two types of liquid crystalline compounds. J. Phys. C, 16, 2059–2067.Google Scholar
Gane, P. A. C., Leadbetter, A. J., Wrighton, P. G., Goodby, J. W., Gray, G. W. & Tajbakhsh, A. R. (1983). The phase behavior of bis-(4′-n-heptyloxybenzylidene)-1,4-phenylenediamine HEPTOBPD, crystal J and K phases. Mol. Cryst. Liq. Cryst. 100, 67–74.Google Scholar
Gannon, M. G. J. & Faber, T. E. (1978). The surface tension of nematic liquid crystals. Philos. Mag. A37, 117–135.Google Scholar
Garland, C. W., Meichle, M., Ocko, B. M., Kortan, A. R., Safinya, C. R., Yu, L. J., Litster, J. D. & Birgeneau, R. J. (1983). Critical behavior at the nematic–smectic-A transition in butyloxybenzylidene heptylaniline (4O.7). Phys. Rev. A, 27, 3234–3240.Google Scholar
Gransbergen, E. F., De Jeu, W. H. & Als-Nielsen, J. (1986). Antiferroelectric surface layers in a liquid crystal as observed by synchrotron X-ray scattering. J. Phys. (Paris), 47, 711–718.Google Scholar
Gray, G. W. & Goodby, J. W. (1984). Smectic liquid crystals: textures and structures. Glasgow: Leonard Hill.Google Scholar
Gray, G. W., Jones, B. & Marson, F. (1957). Mesomorphism and chemical constitution. Part VIII. The effect of 3′-substituents on the mesomorphism of the 4′-n-alkoxydiphenyl-4-carboxylic acids and their alkyl esters. J. Chem. Soc. 1, 393–401.Google Scholar
Grinstein, G. & Toner, J. (1983). Dislocation-loop theory of the nematic–smectic A–smectic C multicritical point. Phys. Rev. Lett. 51, 2386–2389.Google Scholar
Guillon, D. & Skoulios, A. (1987). Molecular model for the R smectic DS mesophase. Europhys. Lett. 3, 79–85.Google Scholar
Guillon, D., Skoulios, A. & Benattar, J. J. (1986). Volume and X-ray diffraction study of terephthal-bis-4-n-decylaniline (TBDA). J. Phys. (Paris), 47, 133–138.Google Scholar
Gunther, L., Imry, Y. & Lajzerowicz, J. (1980). X-ray scattering in smectic-A liquid crystals. Phys. Rev. A, 22, 1733–1740.Google Scholar
Guyot-Sionnest, P., Hsiung, H. & Shen, Y. R. (1986). Surface polar ordering in a liquid crystal observed by optical second-harmonic generation. Phys. Rev. Lett. 57, 2963–2966.Google Scholar
Halperin, B. I. & Nelson, D. R. (1978). Theory of two-dimensional melting. Phys. Rev. Lett. 41, 121–124, 519(E).Google Scholar
Hardouin, F., Levelut, A. M., Achard, M. F. & Sigaud, G. (1983). Polymorphisme des substances mésogenes à molécules polaires. I. Physico-chimie et structure. J. Chim. Phys. 80, 53–64.Google Scholar
Hardouin, F., Levelut, A. M., Benattar, J. J. & Sigaud, G. (1980). X-ray investigations of the smectic A1–smectic A2 transition. Solid State Commun. 33, 337–340.Google Scholar
Hardouin, F., Sigaud, G., Tinh, N. H. & Achard, M. F. (1981). A fluid smectic A antiphase in a pure nitro rod-like compound. J. Phys. (Paris) Lett. 42, L63–L66.Google Scholar
Hardouin, F., Tinh, N. H., Achard, M. F. & Levelut, A. M. (1982). A new thermotropic smectic phase made of ribbons. J. Phys. (Paris) Lett. 43, L327–L331.Google Scholar
Helfrich, W. (1979). Structure of liquid crystals especially order in two dimensions. J. Phys. (Paris) Colloq. 40, C3–105–C3–114.Google Scholar
Hendrikx, Y., Charvolin, J. & Rawiso, M. (1986). Uniaxial–biaxial transition in lyotropic nematic solutions: local biaxiality in the uniaxial phase. Phys. Rev. B, 33, 3534–3537.Google Scholar
Hirth, J. P., Pershan, P. S., Collett, J., Sirota, E. & Sorensen, L. B. (1984). Dislocation model for restacking phase transitions in crystalline-B liquid crystals. Phys. Rev. Lett. 53, 473–476.Google Scholar
Hornreich, R. M., Luban, M. & Shtrikman, S. (1975). Critical behavior at the onset of k-space instability on the lambda line. Phys. Rev. Lett. 35, 1678–1681.Google Scholar
Hornreich, R. M. & Shtrikman, S. (1983). Theory of light scattering in cholesteric blue phases. Phys. Rev. A, 28, 1791–1807.Google Scholar
Huang, C. C. & Lien, S. C. (1981). Nature of a nematic–smectic-A–smectic-C multicritical point. Phys. Rev. Lett. 47, 1917–1920.Google Scholar
Huang, C. C., Lien, S. C., Dumrongrattana, S. & Chiang, L. Y. (1984). Calorimetric studies near the smectic-A1–smectic-Ã phase transition of a liquid crystal compound. Phys. Rev. A, 30, 965–967.Google Scholar
Huse, D. A. (1985). Fisher renormalization at the smectic-A1 to smectic-A2 transition in a mixture. Phys. Rev. Lett. 55, 2228.Google Scholar
Kasting, G. B., Lushington, K. J. & Garland, C. W. (1980). Critical heat capacity near the nematic–smectic-A transition in octyloxycyanobiphenyl in the range 1–2000 bar. Phys. Rev. B, 22, 321–331.Google Scholar
Kittel, C. (1963). Quantum theory of solids. New York: John Wiley.Google Scholar
Kosterlitz, J. M. & Thouless, D. G. (1973). Ordering, metastability and phase transitions in two-dimensions. J. Phys. C, 6, 1181–1203.Google Scholar
Landau, L. D. (1965). In Collected papers of L. D. Landau, edited by D. ter Haar, pp. 193–216. New York: Gordon and Breach.Google Scholar
Landau, L. D. & Lifshitz, E. M. (1958). Statistical physics. London: Pergamon Press.Google Scholar
Lawson, K. D. & Flautt, T. J. (1967). Magnetically oriented lyotropic liquid crystalline phases. J. Am. Chem. Soc. 89, 5489–5491.Google Scholar
Leadbetter, A. J., Durrant, J. L. A. & Rugman, M. (1977). The density of 4-n-octyl-4′-cyano-biphenyl (8CB). Mol. Cryst. Liq. Cryst. 34, 231–235.Google Scholar
Leadbetter, A. J., Frost, J. C., Gaughan, J. P., Gray, G. W. & Mosley, A. (1979). The structure of smectic A phases of compounds with cyano end groups. J. Phys. (Paris) Colloq. 40, C3–375–C3–380.Google Scholar
Leadbetter, A. J., Frost, J. C., Gaughan, J. P. & Mazid, M. A. (1979). The structure of the crystal, smectic E and smectic B forms of IBPAC. J. Phys. (Paris) Colloq. 40, C3–185–C3–192.Google Scholar
Leadbetter, A. J., Frost, J. C. & Mazid, M. A. (1979). Interlayer correlations in smectic B phases. J. Phys. (Paris) Lett. 40, L325–L329.Google Scholar
Leadbetter, A. J., Gaughan, J. P., Kelley, B., Gray, G. W. & Goodby, J. J. (1979). Characterisation and structure of some new smectic F phases. J. Phys. (Paris) Colloq. 40, C3–178–C3–184.Google Scholar
Leadbetter, A. J., Mazid, M. A. & Kelly, B. A. (1979). Structure of the smectic-B phase and the nature of the smectic-B to H transition in the N-(4-n-alkoxybenzylidene)-4′-alkylanilines. Phys. Rev. Lett. 43, 630–633.Google Scholar
Leadbetter, A. J., Mazid, M. A. & Malik, K. M. A. (1980). The crystal and molecular structure of isobutyl 4-(4′-phenylbenzylideneamino) cinnamate (IBPBAC) – and the crystal smectic E transition. Mol. Cryst. Liq. Cryst. 61, 39–60.Google Scholar
Leadbetter, A. J., Mazid, M. A. & Richardson, R. M. (1980). In Liquid crystals, edited by S. Chandrasekhar, pp. 65–79. London: Heyden.Google Scholar
Leadbetter, A. J., Richardson, R. M. & Carlile, C. J. (1976). The nature of the smectic E phase. J. Phys. (Paris) Colloq. 37, C3–65–C3–68.Google Scholar
Lee, S. D. & Meyer, R. B. (1986). Computations of the phase equilibrium, elastic constants, and viscosities of a hard-rod nematic liquid crystal. J. Chem. Phys. 84, 3443–3448.Google Scholar
Levelut, A. M. (1976). Etude de l'ordre local lié à la rotation des molécules dans la phase smectique B. J. Phys. (Paris) Colloq. 37, C3–51–C3–54.Google Scholar
Levelut, A. M. (1983). Structures des phases mésomorphes formée de molécules discoides. J. Chim. Phys. 80, 149–161.Google Scholar
Levelut, A. M., Doucet, J. & Lambert, M. (1974). Etude par diffusion de rayons X de la nature des phases smectiques B et de la transition de phase solide–smectique B. J. Phys. (Paris), 35, 773–779.Google Scholar
Levelut, A. M. & Lambert, M. (1971). Structure des cristaux liquides smectic B. C. R. Acad Sci. Sér. B, 272, 1018–1021.Google Scholar
Levelut, A. M., Tarento, R. J., Hardouin, F., Achard, M. F. & Sigaud, G. (1981). Number of SA phases. Phys. Rev. A, 24, 2180–2186.Google Scholar
Liebert, L. E. (1978). Editor. Liquid crystals. In Solid state physics: advances in research and applications, edited by H. Ehrenreich, F. Seitz & D. Turnbull, Suppl. 14. New York: Academic Press.Google Scholar
Litster, J. D., Als-Nielsen, J., Birgeneau, R. J., Dana, S. S., Davidov, D., Garcia-Golding, F., Kaplan, M., Safinya, C. R. & Schaetzing, R. (1979). High resolution X-ray and light scattering studies of bilayer smectic A compounds. J. Phys. (Paris) Colloq. 40, C3–339–C3–344.Google Scholar
Lubensky, T. C. (1983). The nematic to smectic A transition: a theoretical overview. J. Chim. Phys. 80, 31–43.Google Scholar
Lubensky, T. C. (1987). Mean field theory for the biaxial nematic phase and the NNUAC critical point. Mol. Cryst. Liq. Cryst. 146, 55–69.Google Scholar
Lubensky, T. C. & Ingersent, K. (1986). Patterns in systems with competing incommensurate lengths. Preprint.Google Scholar
Luzzati, V. & Reiss-Husson, F. (1966). Structure of the cubic phase of lipid–water systems. Nature (London), 210, 1351–1352.Google Scholar
Ma, S. K. (1976). Modern theory of critical phenomena. Reading, MA: Benjamin.Google Scholar
McMillan, W. L. (1972). X-ray scattering from liquid crystals. I. Cholesteryl nonanoate and myristate. Phys. Rev. A, 6, 936–947.Google Scholar
McMillan, W. L. (1973a) Measurement of smectic-A-phase order-parameter fluctuations near a second-order smectic-A–nematic-phase transition. Phys. Rev. A, 7, 1419–1422.Google Scholar
McMillan, W. L. (1973b). Measurement of smectic-A-phase order-parameter fluctuations in the nematic phase of p-n-octyloxybenzylidene-p′-toluidine. Phys. Rev. A, 7, 1673–1678.Google Scholar
McMillan, W. L. (1973c). Measurement of smectic-phase order-parameter fluctuations in the nematic phase of heptyloxybenzene. Phys. Rev. A, 8, 328–331.Google Scholar
Mada, H. & Kobayashi, S. (1981). Surface order parameter of 4-n-heptyl-4′-cyanobiphenyl. Mol. Cryst. Liq. Cryst. 66, 57–60.Google Scholar
Maier, W. & Saupe, A. (1958). Eine einfache molekulare Theorie des nematischen kristallinglüssigen Zustandes. Z. Naturforsch. Teil A, 13, 564–566.Google Scholar
Maier, W. & Saupe, A. (1959). Eine einfache molekularestatistiche Theorie der nematischen kristallinglüssigen phase. Teil I. Z. Naturforsch. Teil A, 14, 882–889.Google Scholar
Malthête, J., Liebert, L., Levelut, A. M. & Galerne, Y. (1986). Nématic biaxe thermotrope. C. R. Acad. Sci. 303, 1073–1076.Google Scholar
Martin, P. C., Parodi, O. & Pershan, P. S. (1972). Unified hydrodynamic theory for crystals, liquid crystals, and normal fluids. Phys. Rev. A, 6, 2401–2420.Google Scholar
Martinez-Miranda, L. J., Kortan, A. R. & Birgeneau, R. J. (1986). X-ray study of fluctuations near the nematic–smectic-A–smectic-C multicritical point. Phys. Rev. Lett. 56, 2264–2267.Google Scholar
Meiboom, S., Sethna, J. P., Anderson, P. W. & Brinkman, W. F. (1981). Theory of the blue phase of cholesteric liquid crystals. Phys. Rev. Lett. 46, 1216–1219.Google Scholar
Miyano, K. (1979). Wall-induced pretransitional birefringence: a new tool to study boundary aligning forces in liquid crystals. Phys. Rev. Lett. 43, 51–54.Google Scholar
Moncton, D. E. & Pindak, R. (1979). Long-range order in two- and three-dimensional smectic-B liquid crystal films. Phys. Rev. Lett. 43, 701–704.Google Scholar
Moncton, D. E., Pindak, R., Davey, S. C. & Brown, G. S. (1982). Melting of variable thickness liquid crystal thin films: a synchrotron X-ray study. Phys. Rev. Lett. 49, 1865–1868.Google Scholar
Moncton, D. E., Stephens, P. W., Birgeneau, R. J., Horn, P. M. & Brown, G. S. (1981). Synchrotron X-ray study of the commensurate–incommensurate transition of monolayer krypton on graphite. Phys. Rev. Lett. 46, 1533–1536.Google Scholar
Nelson, D. R. & Halperin, B. I. (1979). Dislocation-mediated melting in two dimensions. Phys. Rev. B, 19, 2457–2484.Google Scholar
Nelson, D. R. & Halperin, B. I. (1980). Solid and fluid phases in smectic layers with tilted molecules. Phys. Rev. B, 21, 5312–5329.Google Scholar
Nelson, D. R. & Toner, J. (1981). Bond-orientational order, dislocation loops and melting of solids and smectic-A liquid crystals. Phys. Rev. B, 24, 363–387.Google Scholar
Neto, A. M. F., Galerne, Y., Levelut, A. M. & Liebert, L. (1985). Pseudo lamellar ordering in uniaxial and biaxial lyotropic nematies: a synchrotron X-ray diffraction experiment. J. Phys. (Paris) Lett. 46, L499–L505.Google Scholar
Ocko, B. M., Birgeneau, R. J. & Litster, J. D. (1986). Crossover to tricritical behavior at the nematic to smectic A transition: an X-ray scattering study. Z. Phys. B62, 487–497.Google Scholar
Ocko, B. M., Birgeneau, R. J., Litster, J. D. & Neubert, M. E. (1984). Critical and tricritical behavior at the nematic to smectic-A transition. Phys. Rev. Lett. 52, 208–211.Google Scholar
Ocko, B. M., Braslau, A., Pershan, P. S., Als-Nielsen, J. & Deutsch, M. (1986). Quantized layer growth at liquid crystal surfaces. Phys. Rev. Lett. 57, 94–97.Google Scholar
Ocko, B. M., Pershan, P. S., Safinya, C. R. & Chiang, L. Y. (1987). Incommensurate smectic order at the free surface in the nematic phase of DB7NO₂. Phys. Rev. A, 35, 1868–1872.Google Scholar
Onsager, L. (1949). The effects of shapes on the interaction of colloidal particles. Ann. NY Acad. Sci. 51, 627–659.Google Scholar
Peierls, R. E. (1934). Transformation temperatures. Helv. Phys. Acta Suppl. 2, 81–83.Google Scholar
Pershan, P. S. (1974). Dislocation effects in smectic-A liquid crystals. J. Appl. Phys. 45, 1590–1604.Google Scholar
Pershan, P. S. (1979). Amphiphilic molecules and liquid crystals. J. Phys. (Paris) Colloq. 40, C3–423–C3–432.Google Scholar
Pershan, P. S. & Als-Nielsen, J. (1984). X-ray reflectivity from the surface of a liquid crystal: surface structure and absolute value of critical fluctuations. Phys. Rev. Lett. 52, 759–762.Google Scholar
Pershan, P. S., Braslau, A., Weiss, A. H. & Als-Nielsen, J. (1987). Smectic layering at the free surface of liquid crystals in the nematic phase: X-ray reflectivity. Phys. Rev. A, 35, 4800–4813.Google Scholar
Pershan, P. S. & Prost, J. (1975). Dislocation and impurity effects in smectic-A liquid crystals. J. Appl. Phys. 46, 2343–2353.Google Scholar
Pindak, R., Moncton, D. E., Davey, S. C. & Goodby, J. W. (1981). X-ray observation of a stacked hexatic liquid-crystal B phase. Phys. Rev. Lett. 46, 1135–1138.Google Scholar
Pokrovsky, V. L. & Talapov, A. L. (1979). Ground state, spectrum, and phase diagram of two-dimensional incommensurate crystals. Phys. Rev. Lett. 42, 65–67.Google Scholar
Prost, J. (1979). Smectic A to smectic A phase transition. J. Phys. (Paris), 40, 581–587.Google Scholar
Prost, J. (1984). The smectic state. Adv. Phys. 33, 1–46.Google Scholar
Prost, J. & Barois, P. (1983). Polymorphism in polar mesogens. II. Theoretical aspects. J. Chim. Phys. 80, 65–81.Google Scholar
Ratna, B. R., Nagabhushana, C., Raja, V. N., Shashidhar, R. & Chandrasekhar, S. (1986). Density, dielectric and X-ray studies of smectic A–smectic A transitions. Mol. Cryst. Liq. Cryst. 138, 245–257.Google Scholar
Ratna, B. R., Shashidhar, R. & Raja, V. N. (1985). Smectic-A phase with two collinear incommensurate density modulations. Phys. Rev. Lett. 55, 1476–1478.Google Scholar
Richardson, R. M., Leadbetter, A. J. & Frost, J. C. (1978). The structure and dynamics of the smectic B phase. Ann. Phys. 3, 177–186.Google Scholar
Sadoc, J. F. & Charvolin, J. (1986). Frustration in bilayers and topologies of liquid crystals of amphiphilic molecules. J. Phys. (Paris), 47, 683–691.Google Scholar
Safinya, C. R., Clark, N. A., Liang, K. S., Varady, W. A. & Chiang, L. Y. (1985). Synchrotron X-ray scattering study of freely suspended discotic strands. Mol. Cryst. Liq. Cryst. 123, 205–216.Google Scholar
Safinya, C. R., Liang, K. S., Varady, W. A., Clark, N. A. & Andersson, G. (1984). Synchrotron X-ray study of the orientational ordering D2–D1 structural phase transition of freely suspended discotic strands in triphenylene hexa-n-dodecanoate. Phys. Rev. Lett. 53, 1172–1175.Google Scholar
Safinya, C. R., Roux, D., Smith, G. S., Sinha, S. K., Dimon, P., Clark, N. A. & Bellocq, A. M. (1986). Steric interactions in a model multimembrane system: a synchrotron X-ray study. Phys. Rev. Lett. 57, 2718–2721.Google Scholar
Safinya, C. R., Varady, W. A., Chiang, L. Y. & Dimon, P. (1986). X-ray study of the nematic phase and smectic-A1 to smectic-Ã phase transition in heptylphenyl nitrobenzoyloxybenzoate (DB7NO2). Phys. Rev. Lett. 57, 432–435.Google Scholar
Safran, S. A. & Clark, N. A. (1987). Editors. Physics of complex and supermolecular fluids. New York: John Wiley.Google Scholar
Shipley, C. G., Hitchcock, P. B., Mason, R. & Thomas, K. M. (1974). Structural chemistry of 1,2-diauroyl-DL-phosphatidylethanolamine: molecular conformation and intermolecular packing of phospholipids. Proc. Natl Acad. Sci. USA, 71, 3036–3040.Google Scholar
Sigaud, G., Hardouin, F., Achard, M. F. & Gasparoux, H. (1979). Anomalous transitional behaviour in mixtures of liquid crystals: a new transition of SA–SA type? J. Phys. (Paris) Colloq. 40, C3–356–C3–359.Google Scholar
Sirota, E. B., Pershan, P. S. & Deutsch, M. (1987). Modulated crystalline-B phases in liquid crystals. Phys. Rev. A, 36, 2902–2913.Google Scholar
Sirota, E. B., Pershan, P. S., Sorensen, L. B. & Collett, J. (1985). X-ray studies of tilted hexatic phases in thin liquid-crystal films. Phys. Rev. Lett. 55, 2039–2042.Google Scholar
Sirota, E. B., Pershan, P. S., Sorensen, L. B. & Collett, J. (1987). X-ray and optical studies of the thickness dependence of the phase diagram of liquid crystal films. Phys. Rev. A, 36, 2890–2901.Google Scholar
Small, D. (1967). Phase equilibria and structure of dry and hydrated egg lecithin. J. Lipid Res. 8, 551–557.Google Scholar
Smith, G. W. & Garland, Z. G. (1973). Liquid crystalline phases in a doubly homologous series of benzylideneanilines – textures and scanning calorimetry. J. Chem. Phys. 59, 3214–3228.Google Scholar
Smith, G. W., Garland, Z. G. & Curtis, R. J. (1973). Phase transitions in mesomorphic benzylideneanilines. Mol. Cryst. Liq. Cryst. 19, 327–330.Google Scholar
Solomon, L. & Litster, J. D. (1986). Light scattering measurements in the 7S5-8OCB nematic–smectic-A–smectic-C liquid-crystal system. Phys. Rev. Lett. 56, 2268–2271.Google Scholar
Sorensen, L. B. (1987). Private communication.Google Scholar
Sorensen, L. B., Amador, S., Sirota, E. B., Stragler, H. & Pershan, P. S. (1987). Unpublished.Google Scholar
Springer, T. (1977). In Current physics, Vol. 3. Dynamics of solids and liquids by neutron scattering, edited by S. W. Lovesey & T. Springer, pp. 255–300 (see p. 281). Berlin: Springer-Verlag.Google Scholar
Sprokel, G. E. (1980). The physics and chemistry of liquid crystal devices. New York: Plenum.Google Scholar
Stegemeyer, H. & Bergmann, K. (1981). In Liquid crystals of one- and two-dimensional order. Springer Series in Chemical Physics 11, edited by W. Helfrich & G. Heppke, pp. 161–175. Berlin/Heidelberg/New York: Springer-Verlag.Google Scholar
Tardieu, A. & Billard, J. (1976). On the structure of the `smectic D modification'. J. Phys. (Paris) Colloq. 37, C3-79–C3-81.Google Scholar
Tardieu, A. & Luzzati, V. (1970). Polymorphism of lipids: a novel cubic phase – a cage-like network of rods with enclosed spherical micelles. Biochim. Biophys. Acta, 219, 11–17.Google Scholar
Thoen, J., Marynissen, H. & Van Dael, W. (1982). Temperature dependence of the enthalpy and the heat capacity of the liquid-crystal octylcyanobiphenyl (8CB). Phys. Rev. A, 26, 2886–2905.Google Scholar
Thoen, J., Marynissen, H. & Van Dael, W. (1984). Nematic–smectic-A tricritical point in alkylcyanobiphenyl liquid crystals. Phys. Rev. Lett. 5, 204–207.Google Scholar
Villain, J. (1980). In Order in strongly fluctuating condensed matter system, edited by T. Riste, pp. 221–260. New York: Plenum.Google Scholar
Wang, J. & Lubensky, T. C. (1984). Theory of the SA1–SA2 phase transition in liquid crystal. Phys. Rev. A, 29, 2210–2217.Google Scholar
Warren, B. E. (1968). X-ray diffraction. Reading, MA: Addison-Wesley.Google Scholar
Winkor, M. J. & Clarke, R. (1986). Long-period stacking transitions in intercalated graphite. Phys. Rev. Lett. 56, 2072–2075.Google Scholar
Young, A. P. (1979). Melting and the vector Coulomb gas in two dimensions. Phys. Rev. B, 19, 1855–1866.Google Scholar
Young, C. Y., Pindak, R., Clark, N. A. & Meyer, R. B. (1978). Light-scattering study of two-dimensional molecular-orientation fluctuations in a freely suspended ferroelectric liquid crystal film. Phys. Rev. Lett. 40, 773–776.Google Scholar
Yu, L. J. & Saupe, A. (1980). Observation of a biaxial nematic phase in potassium laurate–1-decanol–water mixtures. Phys. Rev. Lett. 45, 1000–1003.Google Scholar