Liquid Crystals In Complex Geometries

Liquid Crystals In Complex Geometries

Author: G P Crawford

Publisher: CRC Press

Published: 1996-04-29

Total Pages: 528

ISBN-13: 9780748404643

DOWNLOAD EBOOK

Focusing on the applied and basic aspects of confined liquid crystals, this book provides a current treatise of the subject matter and places it in the broader context of electrooptic applications. The book takes an interdisciplinary approach to the


Book Synopsis Liquid Crystals In Complex Geometries by : G P Crawford

Download or read book Liquid Crystals In Complex Geometries written by G P Crawford and published by CRC Press. This book was released on 1996-04-29 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the applied and basic aspects of confined liquid crystals, this book provides a current treatise of the subject matter and places it in the broader context of electrooptic applications. The book takes an interdisciplinary approach to the


Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phases

Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phases

Author: Zhong-Can Ou-Yang

Publisher: World Scientific

Published: 1999

Total Pages: 252

ISBN-13: 9789810232481

DOWNLOAD EBOOK

This book contains a comprehensive description of the mechanical equilibrium and deformation of membranes as a surface problem in differential geometry. Following the pioneering work by W Helfrich, the fluid membrane is seen as a nematic or smectic ? A liquid crystal film and its elastic energy form is deduced exactly from the curvature elastic theory of the liquid crystals. With surface variation the minimization of the energy at fixed osmotical pressure and surface tension gives a completely new surface equation in geometry that involves potential interest in mathematics. The investigations of the rigorous solution of the equation that have been carried out in recent years by the authors and their co-workers are presented here, among which the torus and the discocyte (the normal shape of the human red blood cell) may attract attention in cell biology. Within the framework of our mathematical model by analogy with cholesteric liquid crystals, an extensive investigation is made of the formation of the helical structures in a tilted chiral lipid bilayer, which has now become a hot topic in the fields of soft matter and biomembranes.


Book Synopsis Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phases by : Zhong-Can Ou-Yang

Download or read book Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phases written by Zhong-Can Ou-Yang and published by World Scientific. This book was released on 1999 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a comprehensive description of the mechanical equilibrium and deformation of membranes as a surface problem in differential geometry. Following the pioneering work by W Helfrich, the fluid membrane is seen as a nematic or smectic ? A liquid crystal film and its elastic energy form is deduced exactly from the curvature elastic theory of the liquid crystals. With surface variation the minimization of the energy at fixed osmotical pressure and surface tension gives a completely new surface equation in geometry that involves potential interest in mathematics. The investigations of the rigorous solution of the equation that have been carried out in recent years by the authors and their co-workers are presented here, among which the torus and the discocyte (the normal shape of the human red blood cell) may attract attention in cell biology. Within the framework of our mathematical model by analogy with cholesteric liquid crystals, an extensive investigation is made of the formation of the helical structures in a tilted chiral lipid bilayer, which has now become a hot topic in the fields of soft matter and biomembranes.


Dielectric Properties Of Liquid Crystals

Dielectric Properties Of Liquid Crystals

Author: Zbigniew Galewski

Publisher:

Published: 2007-01-01

Total Pages: 283

ISBN-13: 9788178952888

DOWNLOAD EBOOK

Introduction - This book, consisting of 10 chapters, should be treated as a complement that brings the reader up to date with the latest contributions to the rich literature on liquid crystals. A prominent place in this literature is occupied by the dielectric properties which are important in estimation of usefulness of these materials and in understanding the molecular processes determining various mesophases. In the field of dielectrics in general, and in connection with the structure and phase transitions the entries in references [1-14] can be recommended. With respect to general aspects of liquid-crystalline properties and molecular dynamics one can point out the references [15-36]. Most of them contain as well chapters on dielectric properties. In addition there is a number of books and monographs related strictly to the dielectric properties of liquid crystals, in particular references [37-45]. For the readers less familiar with this topic and interested in the basic knowledge of dielectric aspects of liquid crystals one can suggest the reviews [46-48]. Basic difference between properties of isotropic liquid and liquid crystal lies in the existence in the latter case of at least one degree of order. The ordering can be also considered with respect to a crystalline phase. Thus introducing at least one degree of disorder (rotational or translational) causes the occurrence of a mesophase which, however, is not identical with the liquid-crystalline phase. If the mesophase is to be liquid-crystalline, it should possess at least one translational degree of disorder. The disorder connected with further degrees of freedom leads to rich polymorphism. The most characteristic feature of liquid-crystalline phases is a precisely defined degree of disorder of molecules building these phases and their anisotropy which is exhibited in molecular structure and all measurable physical parameters such as polarizability. This is the reason why such phases are also called anisotropic liquids. The insertion into the molecules that form mesophases of fragments either chiral or influencing antagonistically already present fragments (e.g. by replacing one alkyl group by perfluorinated chain) leads to additional interactions which compete with interactions responsible for the stability of liquid-crystalline phases. This causes the frustration phenomena, i.e. the mutual overlapping of interactions frequently responsible for opposite effects. These induced phenomena conduce to unexpected structures (banana-type or columnar-type mesophases) and properties such as helicity, ferroelectricity or antiferroelectricity. Of particular interest seem to be ferroelectric liquid crystals (chiral tilted smectics such as SmC*, SmI* and others) showing collective modes: tilt fluctuations (soft modes) and phase fluctuations (Goldstone mode). Unusual progress observed in the last half-century has occurred due to use of some additional interacting fragments and structural details. Liquid crystalline polymers and metalomesogens present rapidly growing branches of knowledge of liquid crystal. Ferromagnetism and superconductivity of liquid crystals still pose a challenge. In this monograph we present different aspects of dielectric properties of mesogens. Chapter 1 presented by Otowski is dedicated to general problems of the molecular dipole s motion in electric field. Based on the broadband dielectric studies results of a few liquid-crystalline substances, their dielectric behavior is discussed by means of Nordio-Rigatti-Segre theory. The pretransitional anomalies observed in isotropic phase close to the phase transitions by means of dielectric measurements are described by Drozd-Rzoska, Rzoska and Janik in Chapter 2. An extended part of this book is devoted to chiral liquid crystals, the importance of which for applications and expectations for them are continuously increasing. The principles of the dielectric behavior of chiral liquid-crystalline compounds based on general considerations applying for other dipolar systems as well is presented by Hoffmann in Chapter 3. In general considerations based on the example of 12 selected substances showing extremely rich polymorphism Marzec, Mikulko, Wróbel and Haase analyze impressive behaviors of collective modes (Chapter 4). The problem of non-linear dielectric effects constitutes an important part of this book. A general introduction to the non-linear dielectric spectroscopy is contained in Chapter 5 elaborated by Kedziora, who concentrates himself on the isotropic phase, solutions and precritical phenomena. The problem of molecular properties of smectic materials and relaxation in ferroelectric liquid crystals with particular attention paid to electrooptic phenomena are discussed by Kuczynski in Chapter 6. Advantages of electrooptic methods applied to chiral tilted smectic liquid crystals with either ferroelectric or antiferroelectric dipole order are known. However, less popular problem of so called organic glass formers presented by Massalska-Arodz, Sciesinska, Sciesinski, Krawczyk, Inoba and Zielinski in Chapter 7 deserved attentions. Properties of these materials are discussed by using the results of complementary methods such as INS, QENS, adiabatic calorimetry and far-infrared spectra. Chapter 8, presented by Rózanski, is devoted to the dielectric properties of liquid crystals confined in porous matrices or dispersed throughout solid matrices. Such systems seem to be fascinating not only from the point of view of surface interactions but also due to attractive properties of dispersed systems in nanoscale. Of great value is also Chapter 9 by Kocot, Merkel, Sufin, Vij and Mehl describing dendrimeric liquid crystals built of molecules containing siloxane or carbosilazane cores. The problems of dynamics and ordering are discussed in terms of IR and dielectric spectroscopy results. Chapter 10, written by Urban, is committed to the relaxation processes in calamitic liquid crystals with emphasis on pressure and temperature effects. Finally let us direct readers attention to general references relating to the new liquid crystalline compounds [49] and IUPAC classification of these systems [50]. 1. Boettcher C. J. F., van Belle O.C., Bordewijk P. and Rip A., 1973, Theory of Electric Polarization, Vol.I: Dielectrics in Static Fields, 2nd revised edition, Elsevier Science Ltd, Amsterdam. 2. Boettcher C.J.F. and Bordewijk, 1978, Theory of Electric Polarization, Vol.II. Dielectrics in Time-dependent Fields, 2nd revised edition, Elsevier Science Ltd, Amsterdam. 3. Hill N., Vaughan W.E., Price A.H. and Davies M., 1969, Dielectric Properties and Molecular Behaviour, van Nostrand, London. 4. Froehlich H., 1958, Theory of Dielectrics, Oxford University Press, London. 5. von Hippel A.R., 1995, Dielectric Materials and Applications, Artech House Publishers. 6. Davies M., 1965, Some Electrical and Optical Aspects of Molecular Behaviour, Pergamon Press, Oxford. 7. Scaife B.K.P., 1998, Principle of Dielectrics, Revised edition, Oxford University Press, Clarendon, Oxford. 8. Riande E. and Diaz-Calleja R., 2004, Electrical Properties of Polymers, Marcel Dekker, NY. 9. Jonscher A.K., 1996, Universal Relaxation Law, Chelsea Dielectric Press Ltd, London. 10. Grigas J., 1996, Microwave Dielectric Spectroscopy of Ferroelectrics and Related Materials, Series: Ferroelectricity and Related Phenomena, Volume 9, Gordon and Breach Science Publishers, Philadelphia. 11. Runt J.P. and Fitzgerald J.J.(Eds.), 1997, Dielectric Spectroscopy of Polymeric Materials, American Chemical Society, Washington, DC. 12. Havriliak S. and Havriliak S.J., 1996, Dielectric and Mechanical Relaxation in Materials, Hanser Verlag, München. 13. Gaiduk V.I. and McConnel J.R., 1999, Dielectric Relaxation and Dynamics of Polar Molecules, World Scientific Pub. Co.Inc., Singapore. 14. Kremer F. and Schönhals A. (Eds) 2002, Broadband Dielectric Spectroscopy, Springer, NY. 15. Demus D., Goodby J., Gray G.W., Spiess H.W. and Vill V. (Eds.), 1998, Handbook of Liquid Crystals, 4-Volume Set, Wiley-VCH, Veinheim. 16. Demus D., Goodby J., Gray G.W., Spiess H.W. and Vill V (Eds.), 1999, Physical Properties of Liquid Crystals, Wiley-VCH, Veinheim. 17. Stegemeyer H. (Ed.), 1994, Liquid Crystals, Steinkopff, Darmstadt and Springer, NY. 18. Buka A. (Ed.), 1993, Modern Topics in Liquid Crystals. From Neutron Scattering to Ferroelectricity, World Scientific, Singapore. 19. Dierking I., 2003. Texture of Liquid Crystals, Wiley-VCH, Weinheim. 20. Luckhurst G.R. and Gray G.W. (Eds.), 1979, The Molecular Physics of Liquid Crystals, Academic Press, London. 21. de Gennes P.G. and Prost J., 1993, The Physics of Liquid Crystals, 2nd edition, Clarendon Press, Oxford. 22. Gray G.W. and Goodby J.W., 1984, Smectic Liquid Crystals. Textures and Structures, Leonard Hill, Glasgow. 23. Martellucci S. and Chester A.N. (Eds.), 1992, Phase Transitions in Liquid Crystals, NATO ASI Series, Vol.B290, Plenum Press, NY. 24. Luckhurst G.R. and Veracini C.A. (Eds.), 1994. The Molecular Dynamics of Liquid Crystals, NATO ASI Series, Vol.C431, Kluwer, Dordrecht. 25. Priestley E.B., Wojtowicz P.J. and Sheng P. (Eds.), 1975, Introduction to Liquid Crystals, Plenum Press, NY. 26. Lagerwall S.T., 1999, Ferroelectric and Antiferroelectric Liquid Crystals, Wiley-VCH, Weinheim. 27. Baus M., Rull L.F. and Ryckaert J.P. (Eds.), 1995, Observation, Prediction and Simulation of Phase Traansitions in Complex Fluids, Kluwer, Dordrecht. 28. Anisimov M.A., 1991, Critical Phenomena in Liquids and Liquid Crystals, Gordon & Breach, Philadelphia 29. Vertogen G. and de Jeu W.H., 1986, Thermotropic Liquid Crystals, Fundamentals, Springer, Berlin 30. de Jeu W.H., 1980, Physical Properties of Liquid Crystalline Materials, Gordon & Breach, NY 31. Helfrich W. and Heppke G., (Eds.), 1980, Liquid Crystals of One and Two Dimensional Order, Springer, Berlin. 32. Goodby J.W., Blinc R., Clark N.A., Lagerwall S.T., Osipov M.A., Pikin S.A., Sakurai T., Yoshino K. and }eka B., 1991, Ferroelectric Liquid Crystals. Principles, Properties and Applications, Series: Ferroelectricity and Related Phenomena, Volume 7. Gordon and Breach, Philadelphia. 33. Pikin S.A., 1991, Structural Transformations in Liquid Crystals, Gordon and Breach, NY. 34. Haberlandt R., Michel D., Poppel A. and Stannarius R., 2005, Molecules in interaction with surfaces and interfaces, Springer NY. 35. Crawford G.P. and }umer S., (Eds), Liquid Crystals in Complex Geometries, 1996, Taylor & Francis, London. 36. Muaevic I., Blinc R. and }eka B., 2000, The Physics of Ferroelectric and Antiferroelectric Liquid Crystals, World Scientific, Singapore. 37. Haase W. and Wróbel S. (Eds.), 2003, Relaxation Phenomena. Liquid Crystals, Magnetic Systems, Polymers, High-TC Superconductors, Metallic Glasses., Springer, NY. 38. Kresse H., 1983, in: Advances in Liquid Crystals, Vol.6, Brown G.H. (ed.), Academic Press, NY. 39. Coffey W.T. and Kalmykov Y.P. 2000, Adv.Chem.Phys. 111, 487. 40. de Jeu W.H., 1978, in: Solid State Physics, Supplement 14. Liebert L. (ed.), Academic Press. 41. Rzoska S.J. and Zhelezny V.P., (Eds), 2004, Nonlinear Dielectric Phenomena in Complex Liquids, Kluwer, Dordrecht. 42. Urban S. and Wuerflinger A., 1979, Adv.Chem.Phys., 98, 143. 43. Kresse H., 1982, Fortschrifte der Physik, 80, 507. 44. Urban S., 2001, in: Physical Properties of Liquid Crystals: Nematics, Dunmur D., Fukuda A. and Luckhurst G. (Eds.), Inspec, London, p.267. 45. Blinov L.M. and Chigrinov V.G., 1994, Electrooptic Effects in Liquid Crystal Materials, Springer, NY. 46. Meier G. and Saupe A., 1966, in: Liquid Crystals, Brown G.H., Dines G.J. and Labes M.M. (Eds.), Gordon and Breach, Philadelphia. 47. Kresse H., 1998, in: Handbook of Liquid Crystals, Demus D., Goodby J., Gray G.W., Spiess H.W. and Vill V. (Eds.), Vol.2, Wiley-VCH, Veinheim. 48. Dunmur D and Toriyama K., 1998, in: Handbook of Liquid Crystals, Demus D., Goodby J., Gray G.W., Spiess H.W. and Vill V. (Eds.), Vol. 1, Wiley-VCH, Veinheim. 49. Vill V., 2006, LiqCryst 4.6. Data Base, Fujitsu. 50. Byron M. et al. 2001, Pure Appl.Chem., 73, 845.


Book Synopsis Dielectric Properties Of Liquid Crystals by : Zbigniew Galewski

Download or read book Dielectric Properties Of Liquid Crystals written by Zbigniew Galewski and published by . This book was released on 2007-01-01 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction - This book, consisting of 10 chapters, should be treated as a complement that brings the reader up to date with the latest contributions to the rich literature on liquid crystals. A prominent place in this literature is occupied by the dielectric properties which are important in estimation of usefulness of these materials and in understanding the molecular processes determining various mesophases. In the field of dielectrics in general, and in connection with the structure and phase transitions the entries in references [1-14] can be recommended. With respect to general aspects of liquid-crystalline properties and molecular dynamics one can point out the references [15-36]. Most of them contain as well chapters on dielectric properties. In addition there is a number of books and monographs related strictly to the dielectric properties of liquid crystals, in particular references [37-45]. For the readers less familiar with this topic and interested in the basic knowledge of dielectric aspects of liquid crystals one can suggest the reviews [46-48]. Basic difference between properties of isotropic liquid and liquid crystal lies in the existence in the latter case of at least one degree of order. The ordering can be also considered with respect to a crystalline phase. Thus introducing at least one degree of disorder (rotational or translational) causes the occurrence of a mesophase which, however, is not identical with the liquid-crystalline phase. If the mesophase is to be liquid-crystalline, it should possess at least one translational degree of disorder. The disorder connected with further degrees of freedom leads to rich polymorphism. The most characteristic feature of liquid-crystalline phases is a precisely defined degree of disorder of molecules building these phases and their anisotropy which is exhibited in molecular structure and all measurable physical parameters such as polarizability. This is the reason why such phases are also called anisotropic liquids. The insertion into the molecules that form mesophases of fragments either chiral or influencing antagonistically already present fragments (e.g. by replacing one alkyl group by perfluorinated chain) leads to additional interactions which compete with interactions responsible for the stability of liquid-crystalline phases. This causes the frustration phenomena, i.e. the mutual overlapping of interactions frequently responsible for opposite effects. These induced phenomena conduce to unexpected structures (banana-type or columnar-type mesophases) and properties such as helicity, ferroelectricity or antiferroelectricity. Of particular interest seem to be ferroelectric liquid crystals (chiral tilted smectics such as SmC*, SmI* and others) showing collective modes: tilt fluctuations (soft modes) and phase fluctuations (Goldstone mode). Unusual progress observed in the last half-century has occurred due to use of some additional interacting fragments and structural details. Liquid crystalline polymers and metalomesogens present rapidly growing branches of knowledge of liquid crystal. Ferromagnetism and superconductivity of liquid crystals still pose a challenge. In this monograph we present different aspects of dielectric properties of mesogens. Chapter 1 presented by Otowski is dedicated to general problems of the molecular dipole s motion in electric field. Based on the broadband dielectric studies results of a few liquid-crystalline substances, their dielectric behavior is discussed by means of Nordio-Rigatti-Segre theory. The pretransitional anomalies observed in isotropic phase close to the phase transitions by means of dielectric measurements are described by Drozd-Rzoska, Rzoska and Janik in Chapter 2. An extended part of this book is devoted to chiral liquid crystals, the importance of which for applications and expectations for them are continuously increasing. The principles of the dielectric behavior of chiral liquid-crystalline compounds based on general considerations applying for other dipolar systems as well is presented by Hoffmann in Chapter 3. In general considerations based on the example of 12 selected substances showing extremely rich polymorphism Marzec, Mikulko, Wróbel and Haase analyze impressive behaviors of collective modes (Chapter 4). The problem of non-linear dielectric effects constitutes an important part of this book. A general introduction to the non-linear dielectric spectroscopy is contained in Chapter 5 elaborated by Kedziora, who concentrates himself on the isotropic phase, solutions and precritical phenomena. The problem of molecular properties of smectic materials and relaxation in ferroelectric liquid crystals with particular attention paid to electrooptic phenomena are discussed by Kuczynski in Chapter 6. Advantages of electrooptic methods applied to chiral tilted smectic liquid crystals with either ferroelectric or antiferroelectric dipole order are known. However, less popular problem of so called organic glass formers presented by Massalska-Arodz, Sciesinska, Sciesinski, Krawczyk, Inoba and Zielinski in Chapter 7 deserved attentions. Properties of these materials are discussed by using the results of complementary methods such as INS, QENS, adiabatic calorimetry and far-infrared spectra. Chapter 8, presented by Rózanski, is devoted to the dielectric properties of liquid crystals confined in porous matrices or dispersed throughout solid matrices. Such systems seem to be fascinating not only from the point of view of surface interactions but also due to attractive properties of dispersed systems in nanoscale. Of great value is also Chapter 9 by Kocot, Merkel, Sufin, Vij and Mehl describing dendrimeric liquid crystals built of molecules containing siloxane or carbosilazane cores. The problems of dynamics and ordering are discussed in terms of IR and dielectric spectroscopy results. Chapter 10, written by Urban, is committed to the relaxation processes in calamitic liquid crystals with emphasis on pressure and temperature effects. Finally let us direct readers attention to general references relating to the new liquid crystalline compounds [49] and IUPAC classification of these systems [50]. 1. Boettcher C. J. F., van Belle O.C., Bordewijk P. and Rip A., 1973, Theory of Electric Polarization, Vol.I: Dielectrics in Static Fields, 2nd revised edition, Elsevier Science Ltd, Amsterdam. 2. Boettcher C.J.F. and Bordewijk, 1978, Theory of Electric Polarization, Vol.II. Dielectrics in Time-dependent Fields, 2nd revised edition, Elsevier Science Ltd, Amsterdam. 3. Hill N., Vaughan W.E., Price A.H. and Davies M., 1969, Dielectric Properties and Molecular Behaviour, van Nostrand, London. 4. Froehlich H., 1958, Theory of Dielectrics, Oxford University Press, London. 5. von Hippel A.R., 1995, Dielectric Materials and Applications, Artech House Publishers. 6. Davies M., 1965, Some Electrical and Optical Aspects of Molecular Behaviour, Pergamon Press, Oxford. 7. Scaife B.K.P., 1998, Principle of Dielectrics, Revised edition, Oxford University Press, Clarendon, Oxford. 8. Riande E. and Diaz-Calleja R., 2004, Electrical Properties of Polymers, Marcel Dekker, NY. 9. Jonscher A.K., 1996, Universal Relaxation Law, Chelsea Dielectric Press Ltd, London. 10. Grigas J., 1996, Microwave Dielectric Spectroscopy of Ferroelectrics and Related Materials, Series: Ferroelectricity and Related Phenomena, Volume 9, Gordon and Breach Science Publishers, Philadelphia. 11. Runt J.P. and Fitzgerald J.J.(Eds.), 1997, Dielectric Spectroscopy of Polymeric Materials, American Chemical Society, Washington, DC. 12. Havriliak S. and Havriliak S.J., 1996, Dielectric and Mechanical Relaxation in Materials, Hanser Verlag, München. 13. Gaiduk V.I. and McConnel J.R., 1999, Dielectric Relaxation and Dynamics of Polar Molecules, World Scientific Pub. Co.Inc., Singapore. 14. Kremer F. and Schönhals A. (Eds) 2002, Broadband Dielectric Spectroscopy, Springer, NY. 15. Demus D., Goodby J., Gray G.W., Spiess H.W. and Vill V. (Eds.), 1998, Handbook of Liquid Crystals, 4-Volume Set, Wiley-VCH, Veinheim. 16. Demus D., Goodby J., Gray G.W., Spiess H.W. and Vill V (Eds.), 1999, Physical Properties of Liquid Crystals, Wiley-VCH, Veinheim. 17. Stegemeyer H. (Ed.), 1994, Liquid Crystals, Steinkopff, Darmstadt and Springer, NY. 18. Buka A. (Ed.), 1993, Modern Topics in Liquid Crystals. From Neutron Scattering to Ferroelectricity, World Scientific, Singapore. 19. Dierking I., 2003. Texture of Liquid Crystals, Wiley-VCH, Weinheim. 20. Luckhurst G.R. and Gray G.W. (Eds.), 1979, The Molecular Physics of Liquid Crystals, Academic Press, London. 21. de Gennes P.G. and Prost J., 1993, The Physics of Liquid Crystals, 2nd edition, Clarendon Press, Oxford. 22. Gray G.W. and Goodby J.W., 1984, Smectic Liquid Crystals. Textures and Structures, Leonard Hill, Glasgow. 23. Martellucci S. and Chester A.N. (Eds.), 1992, Phase Transitions in Liquid Crystals, NATO ASI Series, Vol.B290, Plenum Press, NY. 24. Luckhurst G.R. and Veracini C.A. (Eds.), 1994. The Molecular Dynamics of Liquid Crystals, NATO ASI Series, Vol.C431, Kluwer, Dordrecht. 25. Priestley E.B., Wojtowicz P.J. and Sheng P. (Eds.), 1975, Introduction to Liquid Crystals, Plenum Press, NY. 26. Lagerwall S.T., 1999, Ferroelectric and Antiferroelectric Liquid Crystals, Wiley-VCH, Weinheim. 27. Baus M., Rull L.F. and Ryckaert J.P. (Eds.), 1995, Observation, Prediction and Simulation of Phase Traansitions in Complex Fluids, Kluwer, Dordrecht. 28. Anisimov M.A., 1991, Critical Phenomena in Liquids and Liquid Crystals, Gordon & Breach, Philadelphia 29. Vertogen G. and de Jeu W.H., 1986, Thermotropic Liquid Crystals, Fundamentals, Springer, Berlin 30. de Jeu W.H., 1980, Physical Properties of Liquid Crystalline Materials, Gordon & Breach, NY 31. Helfrich W. and Heppke G., (Eds.), 1980, Liquid Crystals of One and Two Dimensional Order, Springer, Berlin. 32. Goodby J.W., Blinc R., Clark N.A., Lagerwall S.T., Osipov M.A., Pikin S.A., Sakurai T., Yoshino K. and }eka B., 1991, Ferroelectric Liquid Crystals. Principles, Properties and Applications, Series: Ferroelectricity and Related Phenomena, Volume 7. Gordon and Breach, Philadelphia. 33. Pikin S.A., 1991, Structural Transformations in Liquid Crystals, Gordon and Breach, NY. 34. Haberlandt R., Michel D., Poppel A. and Stannarius R., 2005, Molecules in interaction with surfaces and interfaces, Springer NY. 35. Crawford G.P. and }umer S., (Eds), Liquid Crystals in Complex Geometries, 1996, Taylor & Francis, London. 36. Muaevic I., Blinc R. and }eka B., 2000, The Physics of Ferroelectric and Antiferroelectric Liquid Crystals, World Scientific, Singapore. 37. Haase W. and Wróbel S. (Eds.), 2003, Relaxation Phenomena. Liquid Crystals, Magnetic Systems, Polymers, High-TC Superconductors, Metallic Glasses., Springer, NY. 38. Kresse H., 1983, in: Advances in Liquid Crystals, Vol.6, Brown G.H. (ed.), Academic Press, NY. 39. Coffey W.T. and Kalmykov Y.P. 2000, Adv.Chem.Phys. 111, 487. 40. de Jeu W.H., 1978, in: Solid State Physics, Supplement 14. Liebert L. (ed.), Academic Press. 41. Rzoska S.J. and Zhelezny V.P., (Eds), 2004, Nonlinear Dielectric Phenomena in Complex Liquids, Kluwer, Dordrecht. 42. Urban S. and Wuerflinger A., 1979, Adv.Chem.Phys., 98, 143. 43. Kresse H., 1982, Fortschrifte der Physik, 80, 507. 44. Urban S., 2001, in: Physical Properties of Liquid Crystals: Nematics, Dunmur D., Fukuda A. and Luckhurst G. (Eds.), Inspec, London, p.267. 45. Blinov L.M. and Chigrinov V.G., 1994, Electrooptic Effects in Liquid Crystal Materials, Springer, NY. 46. Meier G. and Saupe A., 1966, in: Liquid Crystals, Brown G.H., Dines G.J. and Labes M.M. (Eds.), Gordon and Breach, Philadelphia. 47. Kresse H., 1998, in: Handbook of Liquid Crystals, Demus D., Goodby J., Gray G.W., Spiess H.W. and Vill V. (Eds.), Vol.2, Wiley-VCH, Veinheim. 48. Dunmur D and Toriyama K., 1998, in: Handbook of Liquid Crystals, Demus D., Goodby J., Gray G.W., Spiess H.W. and Vill V. (Eds.), Vol. 1, Wiley-VCH, Veinheim. 49. Vill V., 2006, LiqCryst 4.6. Data Base, Fujitsu. 50. Byron M. et al. 2001, Pure Appl.Chem., 73, 845.


Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phases

Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phases

Author: Ou-Yang Zhong-Can

Publisher: World Scientific

Published: 1999-03-24

Total Pages: 244

ISBN-13: 9814497029

DOWNLOAD EBOOK

This book contains a comprehensive description of the mechanical equilibrium and deformation of membranes as a surface problem in differential geometry. Following the pioneering work by W Helfrich, the fluid membrane is seen as a nematic or smectic — A liquid crystal film and its elastic energy form is deduced exactly from the curvature elastic theory of the liquid crystals. With surface variation the minimization of the energy at fixed osmotical pressure and surface tension gives a completely new surface equation in geometry that involves potential interest in mathematics. The investigations of the rigorous solution of the equation that have been carried out in recent years by the authors and their co-workers are presented here, among which the torus and the discocyte (the normal shape of the human red blood cell) may attract attention in cell biology. Within the framework of our mathematical model by analogy with cholesteric liquid crystals, an extensive investigation is made of the formation of the helical structures in a tilted chiral lipid bilayer, which has now become a hot topic in the fields of soft matter and biomembranes. Contents:Introduction to Liquid Crystal BiomembranesCurvature Elasticity Theory of Fluid MembranesGeneral Vesicle Shape Equation of Helfrich, Spontaneous Curvature TheorySolutions of General Shape EquationTheory of Tilted Lipid Bilayers Readership: Researchers in the physics of biomembranes and liquid crystals. keywords:Biomembrane;Liquid Crystals;Elastic Theory;Differential Geometry;Soft Matter Physics;Condensed Matter Physics;Shape of Red Blood Cells;Lipid Bilayers;Vesicle And Lipsome;Applied Mathematics


Book Synopsis Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phases by : Ou-Yang Zhong-Can

Download or read book Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phases written by Ou-Yang Zhong-Can and published by World Scientific. This book was released on 1999-03-24 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a comprehensive description of the mechanical equilibrium and deformation of membranes as a surface problem in differential geometry. Following the pioneering work by W Helfrich, the fluid membrane is seen as a nematic or smectic — A liquid crystal film and its elastic energy form is deduced exactly from the curvature elastic theory of the liquid crystals. With surface variation the minimization of the energy at fixed osmotical pressure and surface tension gives a completely new surface equation in geometry that involves potential interest in mathematics. The investigations of the rigorous solution of the equation that have been carried out in recent years by the authors and their co-workers are presented here, among which the torus and the discocyte (the normal shape of the human red blood cell) may attract attention in cell biology. Within the framework of our mathematical model by analogy with cholesteric liquid crystals, an extensive investigation is made of the formation of the helical structures in a tilted chiral lipid bilayer, which has now become a hot topic in the fields of soft matter and biomembranes. Contents:Introduction to Liquid Crystal BiomembranesCurvature Elasticity Theory of Fluid MembranesGeneral Vesicle Shape Equation of Helfrich, Spontaneous Curvature TheorySolutions of General Shape EquationTheory of Tilted Lipid Bilayers Readership: Researchers in the physics of biomembranes and liquid crystals. keywords:Biomembrane;Liquid Crystals;Elastic Theory;Differential Geometry;Soft Matter Physics;Condensed Matter Physics;Shape of Red Blood Cells;Lipid Bilayers;Vesicle And Lipsome;Applied Mathematics


Optics and Nonlinear Optics of Liquid Crystals

Optics and Nonlinear Optics of Liquid Crystals

Author: Iam-Choon Khoo

Publisher: World Scientific

Published: 1993

Total Pages: 442

ISBN-13: 9789810209346

DOWNLOAD EBOOK

This is a monograph/text devoted to a detailed treatment of the optical, electro-optical and nonlinear optical properties of all the mesophases of liquid crystals and related processes, phenomena and application principles. Quantitative data on material and optical parameters spanning the ultraviolet, visible, infrared as well as the microwave regimes are presented along with detailed theoretical treatments of basic liquid crystal physics, material properties and nonlinear optics.Starting with a discussion on the basic building blocks of liquid crystalline molecules, the authors proceed to present in a pedagogical manner current theories, experiments, and applications of these unique and important optical properties of liquid crystals. Numerous tables of hard-to-find liquid crystalline parameters, a self-contained chapter on general nonlinear optics, and comprehensive literature review are also included.


Book Synopsis Optics and Nonlinear Optics of Liquid Crystals by : Iam-Choon Khoo

Download or read book Optics and Nonlinear Optics of Liquid Crystals written by Iam-Choon Khoo and published by World Scientific. This book was released on 1993 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a monograph/text devoted to a detailed treatment of the optical, electro-optical and nonlinear optical properties of all the mesophases of liquid crystals and related processes, phenomena and application principles. Quantitative data on material and optical parameters spanning the ultraviolet, visible, infrared as well as the microwave regimes are presented along with detailed theoretical treatments of basic liquid crystal physics, material properties and nonlinear optics.Starting with a discussion on the basic building blocks of liquid crystalline molecules, the authors proceed to present in a pedagogical manner current theories, experiments, and applications of these unique and important optical properties of liquid crystals. Numerous tables of hard-to-find liquid crystalline parameters, a self-contained chapter on general nonlinear optics, and comprehensive literature review are also included.


Liquid Crystal Elastomers

Liquid Crystal Elastomers

Author: Mark Warner

Publisher: Oxford University Press

Published: 2007-04-05

Total Pages: 423

ISBN-13: 9780199214860

DOWNLOAD EBOOK

This text is a primer for liquid crystals, polymers, rubber and elasticity. It is directed at physicists, chemists, material scientists, engineers and applied mathematicians at the graduate student level and beyond.


Book Synopsis Liquid Crystal Elastomers by : Mark Warner

Download or read book Liquid Crystal Elastomers written by Mark Warner and published by Oxford University Press. This book was released on 2007-04-05 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a primer for liquid crystals, polymers, rubber and elasticity. It is directed at physicists, chemists, material scientists, engineers and applied mathematicians at the graduate student level and beyond.


Liquid Crystals

Liquid Crystals

Author: Sergey V. Pasechnik

Publisher: John Wiley & Sons

Published: 2009-09-18

Total Pages: 436

ISBN-13: 3527627677

DOWNLOAD EBOOK

Covering numerous practical applications as yet not covered in any single source of information, this monograph discusses the importance of viscous and elastic properties for applications in both display and non-display technologies. The very well-known authors are major players in this field of research and pay special attention here to the use of liquid crystals in fiber optic devices as applied in telecommunication circuits.


Book Synopsis Liquid Crystals by : Sergey V. Pasechnik

Download or read book Liquid Crystals written by Sergey V. Pasechnik and published by John Wiley & Sons. This book was released on 2009-09-18 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering numerous practical applications as yet not covered in any single source of information, this monograph discusses the importance of viscous and elastic properties for applications in both display and non-display technologies. The very well-known authors are major players in this field of research and pay special attention here to the use of liquid crystals in fiber optic devices as applied in telecommunication circuits.


Geometry and Thermodynamics

Geometry and Thermodynamics

Author: J.C. Tolédano

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 453

ISBN-13: 1461538165

DOWNLOAD EBOOK

Distinct scientific communities are usually involved in the three fields of quasi-crystals, of liquid crystals, and of systems having modulated crystalline structures. However, in recent years, there has been a growing feeling that a number of common problems were encountered in the three fields. These comprise the need to recur to "exotic" spaces for describing the type of order of the atomic or molecular configurations of these systems (Euclidian "superspaces" of dimensions greater than 3, or 4-dimensional curved spaces); the recognition that one has to deal with geometrically frustrated systems, and also the occurence of specific excitations (static or dynamic) resulting from the continuous degeneracies of the stable structures considered. In the view of discussing these problems, aNA TO-Advance Research Workshop has assembled in Preveza (Greece), in september 1989,50 experts of the three considered fields (with an equal proportion of theorists and experimentalists). 35 hours of conferences and discussions have led to a more detailed evaluation of the similarities and of the differences in the approaches implemented in the studies of the three types of systems. The papers contained in this NATO-series book provide the substance of this workshop. The reader will find three types of papers. Some very short papers giving the main ideas stated on a subject. Papers comprising 8-10 pages which stick closely to the contents of the talks presented. Longer papers providing more extensively the background and results relative to a given topic. It is worth summarizing the principal outputs of the workshop.


Book Synopsis Geometry and Thermodynamics by : J.C. Tolédano

Download or read book Geometry and Thermodynamics written by J.C. Tolédano and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distinct scientific communities are usually involved in the three fields of quasi-crystals, of liquid crystals, and of systems having modulated crystalline structures. However, in recent years, there has been a growing feeling that a number of common problems were encountered in the three fields. These comprise the need to recur to "exotic" spaces for describing the type of order of the atomic or molecular configurations of these systems (Euclidian "superspaces" of dimensions greater than 3, or 4-dimensional curved spaces); the recognition that one has to deal with geometrically frustrated systems, and also the occurence of specific excitations (static or dynamic) resulting from the continuous degeneracies of the stable structures considered. In the view of discussing these problems, aNA TO-Advance Research Workshop has assembled in Preveza (Greece), in september 1989,50 experts of the three considered fields (with an equal proportion of theorists and experimentalists). 35 hours of conferences and discussions have led to a more detailed evaluation of the similarities and of the differences in the approaches implemented in the studies of the three types of systems. The papers contained in this NATO-series book provide the substance of this workshop. The reader will find three types of papers. Some very short papers giving the main ideas stated on a subject. Papers comprising 8-10 pages which stick closely to the contents of the talks presented. Longer papers providing more extensively the background and results relative to a given topic. It is worth summarizing the principal outputs of the workshop.


Liquid Crystals

Liquid Crystals

Author: Patrick Oswald

Publisher: CRC Press

Published: 2018-10-03

Total Pages: 618

ISBN-13: 1482275287

DOWNLOAD EBOOK

These volumes are a result of the personal research and graduate lectures given by the authors at the ecole Normale Superieure de Lyon and the University of Paris VII, respectively. Featuring an easy-to-follow, accessible style, each volume describes important concepts and physical properties using classroom-friendly experiments, many of which the


Book Synopsis Liquid Crystals by : Patrick Oswald

Download or read book Liquid Crystals written by Patrick Oswald and published by CRC Press. This book was released on 2018-10-03 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: These volumes are a result of the personal research and graduate lectures given by the authors at the ecole Normale Superieure de Lyon and the University of Paris VII, respectively. Featuring an easy-to-follow, accessible style, each volume describes important concepts and physical properties using classroom-friendly experiments, many of which the


Structure and Properties of Liquid Crystals

Structure and Properties of Liquid Crystals

Author: Lev M. Blinov

Publisher: Springer Science & Business Media

Published: 2010-10-26

Total Pages: 448

ISBN-13: 9048188296

DOWNLOAD EBOOK

This book by Lev M. Blinov is ideal to guide researchers from their very first encounter with liquid crystals to the level where they can perform independent experiments on liquid crystals with a thorough understanding of their behaviour also in relation to the theoretical framework. Liquid crystals can be found everywhere around us. They are used in virtually every display device, whether it is for domestic appliances of for specialized technological instruments. Their finely tunable optical properties make them suitable also for thermo-sensing and laser technologies. There are many monographs written by prominent scholars on the subject of liquid crystals. The majority of them presents the subject in great depth, sometimes focusing on a particular research aspect, and in general they require a significant level of prior knowledge. In contrast, this books aims at an audience of advanced undergraduate and graduate students in physics, chemistry and materials science. The book consists of three parts: the first part, on structure, starts from the fundamental principles underlying the structure of liquid crystals, their rich phase behaviour and the methods used to study them; the second part, on physical properties, emphasizes the influence of anisotropy on all aspects of liquid crystals behaviour; the third, focuses on electro-optics, the most important properties from the applications standpoint. This part covers only the main effects and illustrates the underlying principles in greater detail. Professor Lev M. Blinov has had a long carrier as an experimentalist. He made major contributions in the field of ferroelectric mesophases. In 1985 he received the USSR state prize for investigations of electro-optical effects in liquid crystals for spatial light modulators. In 1999 he was awarded the Frederiks medal of the Soviet Liquid Crystal Society and in 2000 he was honoured with the G. Gray silver medal of the British Liquid Crystal Society. He has held many visiting academic positions in universities and laboratories across Europe and in Japan.


Book Synopsis Structure and Properties of Liquid Crystals by : Lev M. Blinov

Download or read book Structure and Properties of Liquid Crystals written by Lev M. Blinov and published by Springer Science & Business Media. This book was released on 2010-10-26 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book by Lev M. Blinov is ideal to guide researchers from their very first encounter with liquid crystals to the level where they can perform independent experiments on liquid crystals with a thorough understanding of their behaviour also in relation to the theoretical framework. Liquid crystals can be found everywhere around us. They are used in virtually every display device, whether it is for domestic appliances of for specialized technological instruments. Their finely tunable optical properties make them suitable also for thermo-sensing and laser technologies. There are many monographs written by prominent scholars on the subject of liquid crystals. The majority of them presents the subject in great depth, sometimes focusing on a particular research aspect, and in general they require a significant level of prior knowledge. In contrast, this books aims at an audience of advanced undergraduate and graduate students in physics, chemistry and materials science. The book consists of three parts: the first part, on structure, starts from the fundamental principles underlying the structure of liquid crystals, their rich phase behaviour and the methods used to study them; the second part, on physical properties, emphasizes the influence of anisotropy on all aspects of liquid crystals behaviour; the third, focuses on electro-optics, the most important properties from the applications standpoint. This part covers only the main effects and illustrates the underlying principles in greater detail. Professor Lev M. Blinov has had a long carrier as an experimentalist. He made major contributions in the field of ferroelectric mesophases. In 1985 he received the USSR state prize for investigations of electro-optical effects in liquid crystals for spatial light modulators. In 1999 he was awarded the Frederiks medal of the Soviet Liquid Crystal Society and in 2000 he was honoured with the G. Gray silver medal of the British Liquid Crystal Society. He has held many visiting academic positions in universities and laboratories across Europe and in Japan.