Biaxial nematic liquid crystals : theory, simulation, and experiment / / edited by Geoffrey R. Luckhurst and Timothy J. Sluckin

• Pubblicazione: Chichester, England : , : Wiley, , 2015; ©2015
• Descrizione fisica: 1 online resource (424 p.)
• Disciplina: 530.4/29
• Soggetto topico: Nematic liquid crystals; Liquid crystals - Spectra; Liquid crystals - Research
• Persona (resp. second.): LuckhurstG. R.; SluckinTimothy J.
• Note generali: Includes index.
• Nota di bibliografia: Includes bibliographical references at the end of each chapters and index.
• Nota di contenuto: Cover; Contents; About the Editors; List of Contributors; Preface; Chapter 1 Introduction; 1.1 Historical Background; 1.2 Freiser Theory; 1.3 Nematic Order Parameters; 1.4 Nematic Tensor Order Parameters; 1.5 Theoretical Phase Diagrams; 1.6 Landau-de Gennes Theory; 1.7 Computer Simulation; 1.8 Other Theoretical Issues; 1.9 Applications; 1.10 Characterisation; 1.11 Lyotropic and Colloidal Systems; 1.12 Molecular Design; References; Chapter 2 Biaxial Nematics: Order Parameters and Distribution Functions; 2.1 Introduction; 2.2 The Cartesian Language; 2.2.1 Order Parameters ; 2.2.2 Molecular Symmetry2.2.3 Measurement; 2.3 The Spherical Tensor Language; 2.3.1 The Order Parameters of Biaxial Molecules in a Uniaxial Phase; 2.3.2 Molecular Symmetry; 2.3.3 Measurement; 2.4 Extension to Biaxial Nematics; 2.4.1 Orientational Order Parameters; 2.4.2 Systems with D2h Point Group Symmetry; 2.4.3 Measurement of the Order Parameters; 2.4.4 Systems with C2h Point Group Symmetry and Their Order Parameters; 2.4.5 Systems with C2h Point Group Symmetry: The Cartesian Language; 2.5 Fourth-Rank Order Parameters; 2.6 The Singlet Orientational Distribution Function; 2.7 Appendices ; 2.7.1 Point Group Symmetry and the Associated Symmetry Operations2.7.2 Legendre Polynomials, Modified Spherical Harmonics and Wigner Rotation Matrices; Acknowledgements; References; Chapter 3 Molecular Field Theory; 3.1 Introduction; 3.2 General Mathematical Theory; 3.2.1 Two-Particle Hamiltonian; 3.2.2 Ensemble Potentials; 3.2.3 Molecular Field Approximation; 3.2.4 Variational Principles; 3.2.5 Local Stability Criterion; 3.3 Non-Polar Molecules; 3.3.1 Quadrupolar Hamiltonians; 3.3.2 Phase Transitions; 3.3.3 Universal Phase Diagram; 3.3.4 Steric Effects; 3.4 Polar Molecules ; 3.4.1 Dipolar Fluids3.4.2 Dipolar Hamiltonian; 3.4.3 Condensed Polar Phases; References; Chapter 4 Hard Particle Theories; 4.1 Introduction; 4.2 Theoretical Approaches; 4.3 Board-Like Models; 4.4 Bent-Core Models; 4.5 Rod-Plate Mixtures; 4.6 Conclusions and Speculations; Acknowledgements; References; Chapter 5 Landau Theory of Nematic Phases; 5.1 Introduction; 5.2 Symmetry of Biaxial Nematics and Primary Order Parameters; 5.3 Landau Expansion; 5.3.1 Generic NU-I Phase Transition; 5.3.2 Generic NB-NU and NB-I Phase Transitions; 5.3.3 Role of Coupling between Nematic Order Parameters ; 5.3.4 Landau-de Gennes Expansion in Terms of the Alignment Tensor5.4 Conclusion; Acknowledgements; References; Chapter 6 Computer Simulations of Biaxial Nematics; 6.1 Introduction; 6.2 Order Parameters; 6.3 Model Potentials and Applications; 6.3.1 Lattice Models; 6.3.2 Atomistic Models; 6.3.3 Molecular Models; 6.4 Conclusion; Acknowledgements; 6.5 Appendices; 6.5.1 Quaternions; 6.5.2 Angular Momentum Operator; 6.5.3 Kinematic and Dynamic Equations of Rotational Motion; 6.5.4 Propagator/Integrator of Rotational Equations of Motion; 6.5.5 Gradient of the Biaxial Gay-Berne Potential ; 6.5.6 Torques of the Biaxial Gay-Berne Potential
• Sommario/riassunto: Liquid Crystals are a state of matter that have properties between those of conventional liquid and those of a solid crystal. Thermotropic liquid crystals react to changes in temperature or, in some cases, pressure. The reaction of lyotropic liquid crystals, which are used in the manufacture of soaps and detergents, depends on the type of solvent they are mixed with. Since the accidental discovery of the chiral nematic (ordered) phase in 1888 many liquid crystal phases have been found, sometimes by chance and sometimes by design. The existence of one such phase was predicted by Freiser in 197
• Titolo autorizzato: Biaxial nematic liquid crystals
• ISBN: 1-118-69635-2; 1-118-69631-X; 1-118-69633-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910828850303321
• Lo trovi qui: Univ. Federico II