Liquid crystals:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge Univ. Press
1992
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| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 460 S. Ill. |
| ISBN: | 0521417473 052142741X |
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Datensatz im Suchindex
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| adam_text | LIQUID CRYSTALS
Second edition
S CHANDRASEKHAR, F R S
Centre for Liquid Crystal Research, Bangalore
CAMBRIDGE
UNIVERSITY PRESS
Contents
Preface to the first edition page xiii
Preface to the second edition xv
1 Introduction 1
1 1 Thermotropic liquid crystals: structure and classification
of the mesophases 1
111 Liquid crystals of rod-like molecules 1
112 Liquid crystals of disc-like molecules 8
113 Polymer liquid crystals 10
1 2 Lyotropic liquid crystals 12
1 3 Polymorphism in thermotropic liquid crystals 14
2 Statistical theories of nematic order 17
2 1 Melting of molecular crystals: the Pople-Karasz model 17
211 Order-disorder in positions and orientations 17
212 Plastic crystals and liquid crystals 22
213 Pressure-induced mesomorphism 27
2 2 Phase transition in a fluid of hard rods , 29
2 3 The Maier-Saupe theory and its applications 38
231 Definition of long-range orientational order 38
232 The mean field approximation 41
233 Evaluation of the order parameter 43
234 Theory of dielectric anisotropy 51
235 Relationship between elasticity and orientational order 57
2 4 Hybrid models: hard rods with a superposed attractive
potential 60
2 5 Short-range order effects in the isotropic phase 61
251 The Landau-de Gennes model 61
252 Magnetic and electric birefringence 63
253 Light scattering 66
vii
viii Contents
254 Flow birefringence 69
255 Comparison with the Maier-Saupe theory 70
2 6 Near-neighbour correlations: Bethe s method 71
261 The Krieger-James approximation 71
262 Antiferroelectric short-range order 75
2 7 The nematic liquid crystal free surface 80
3 Continuum theory of the nematic state 85
3 1 The Ericksen-Leslie theory 85
311 Conservation laws and the entropy inequality 86
312 Constitutive equations 88
313 Coefficients of viscosity 91
314 Parodi s relation 93
3 2 Curvature elasticity: the Oseen-Zocher-Frank equations 94
3 3 Summary of equations of the continuum theory 97
3 4 Distortions due to magnetic and electric fields: static
theory 98
341 The Freedericksz effect 98
342 The twisted nematic device 106
343 The Freedericksz effect in highly anisotropic nematics:
periodic distortions 113
344 The constant A:, , 115
3 5 Disclinations 117
351 Schlieren textures 117
352 Interaction between disclinations 120
353 Non-singular structures (s = + 1): escape in the third
dimension 123
354 Twist disclinations 126
355 Singular points 129
356 Interaction between disclinations and surfaces 132
357 Defects in the presence of an external field 135
358 Some consequences of elastic anisotropy 139
359 The core structure 143
3 6 Flow properties 144
361 Miesowicz s experiment 144
362 Tsvetkov s experiment 145
363 Poiseuille flow 148
364 Shear flow 152
365 Transverse pressure and secondary flow 157
3 7 Reflexion of shear waves 159
3 8 Dynamics of the Freedericksz effect 161
Contents ix
381 Twist deformation 161
382 Homeotropic to planar transition: backflow and kickback
effects 162
3 9 Light scattering 167
391 Orientational fluctuations 167
392 Intensity and angular dependence of the scattering 170
393 Eigenmodes and the frequency spectrum of the scattered
light 173
3 10 Electrohydrodynamics 177
3 10 1 The experimental situation 177
3 10 2 Helfrich s theory 183
3 10 3 DC excitation 186
3 10 4 Square wave excitation 187
3 10 5 Sinusoidal excitation 192
3 11 Hydrodynamic instabilities 195
3 11 1 Homogeneous instability in shear flow 195
3 11 2 Roll instability in shear flow 197
3 12 Thermal instability: stationary convection 202
3 13 Flexoelectricity 205
3 13 1 Determination of the flexoelectric coefficients 205
3 13 2 Influence of flexoelectricity on electrohydrodynamic
instability 210
3 13 3 Order electricity 211
4 Cholesteric liquid crystals 213
4 1 Optical properties 213
411 Propagation along the optic axis for wavelengths ^ pitch 213
412 Propagation along the optic axis for wavelengths ~pitch:
analogy with Darwin s dynamical theory of X-ray
diffraction 222
413 Exact solution of the wave equation for propagation along
the optic axis: the Mauguin-Oseen-de Vries model 237
414 Equivalence of the continuum and the dynamical theories 241
415 Oblique incidence 245
416 Propagation normal to the optic axis 247
4 2 Defects 248
421 /-disclinations 248
422 Lattice disclinations 252
423 Dislocations 254
4 3 Leslie s theory of thermomechanical coupling 258
4 4 The Lehmann rotation phenomenon 262
x Contents
4 5 Flow properties 267
451 Flow along the helical axis 270
452 Flow normal to the helical axis 274
4 6 Distortions of the structure by external fields 277
461 Magnetic field normal to the helical axis: the
cholesteric-nematic transition 277
462 Magnetic field along the helical axis: the square grid
pattern 281
463 Electric field along the helical axis 286
4 7 Anomalous optical rotation in the isotropic phase 289
4 8 The blue phases 292
4 9 Some factors influencing the pitch 296
4 10 Molecular models 298
5 Smectic liquid crystals 300
5 1 Classification of the smectic phases 300
5 2 Extension of the Maier-Saupe theory to smectic A:
McMillan s model 302
5 3 Continuum theory of smectic A 310
531 The basic equations 310
532 The Peierls-Landau instability 311
533 The Helfrich deformation 313
534 Fluctuations and Rayleigh scattering 317
535 Damping rate of the undulation mode 320
536 Ultrasonic propagation and Brillouin scattering 323
537 Breakdown of conventional hydrodynamics 325
5 4 Defects in smectic A 327
541 Focal conic textures 327
542 Edge dislocations 333
543 Screw dislocations 338
544 Disclinations 338
5 5 The smectic A-nematic transition 340
551 Phenomenological theory of the smectic A-nematic
transition 340
552 Pretransition effects in the nematic phase 341
5 6 Smectic A polymorphism 350
561 Smectic A phases of strongly polar molecules 350
562 The phenomenon of re-entrance 355
563 Smectic A* or the twist grain boundary phase 358
5 7 The hexatic phase 360
5 8 Smectic C 362
Contents xi
581 Description of the structure 362
582 Continuum theory of smectic C 365
583 Defects in smectic C 369
584 The smectic C-smectic A transition 370
5 9 The nematic-smectic A-smectic C multicritical point 374
5 10 Ferroelectric liquid crystals 378
5 10 1 The properties of smectic C* 378
5 10 2 The smectic C*-smectic A transition 383
5 10 3 Applications of ferroelectric liquid crystals 386
6 Discotic liquid crystals 388
6 1 Description of the liquid crystalline structures 388
6 2 Extension of McMillan s model of smectic A to discotic
liquid crystals 394
6 3 The columnar liquid crystal: applications of the
continuum theory 398
631 Fluctuations 398
632 X-ray scattering 399
633 Light scattering 400
634 Mechanical instabilities 400
635 Acoustic wave propagation 401
6 4 Defects in the columnar liquid crystal 403
641 Dislocations 404
642 Disclinations 409
643 Developable domains 410
6 5 The discotic nematic phase 411
6 6 The biaxial nematic phase 414
References 418
Index 451
|
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| author | Chandrasekhar, Sivaramakrishna 1930- |
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| author_facet | Chandrasekhar, Sivaramakrishna 1930- |
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| author_variant | s c sc |
| building | Verbundindex |
| bvnumber | BV025866281 |
| classification_rvk | UQ 8700 |
| ctrlnum | (OCoLC)611625069 (DE-599)BVBBV025866281 |
| discipline | Physik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV025866281 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:14:00Z |
| institution | BVB |
| isbn | 0521417473 052142741X |
| language | English |
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| physical | XV, 460 S. Ill. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Chandrasekhar, Sivaramakrishna 1930- Verfasser (DE-588)136783872 aut Liquid crystals S. Chandrasekhar 2. ed. Cambridge Cambridge Univ. Press 1992 XV, 460 S. Ill. txt rdacontent n rdamedia nc rdacarrier Flüssigkristall (DE-588)4071279-5 gnd rswk-swf Flüssigkristall (DE-588)4071279-5 s DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019113761&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chandrasekhar, Sivaramakrishna 1930- Liquid crystals Flüssigkristall (DE-588)4071279-5 gnd |
| subject_GND | (DE-588)4071279-5 |
| title | Liquid crystals |
| title_auth | Liquid crystals |
| title_exact_search | Liquid crystals |
| title_full | Liquid crystals S. Chandrasekhar |
| title_fullStr | Liquid crystals S. Chandrasekhar |
| title_full_unstemmed | Liquid crystals S. Chandrasekhar |
| title_short | Liquid crystals |
| title_sort | liquid crystals |
| topic | Flüssigkristall (DE-588)4071279-5 gnd |
| topic_facet | Flüssigkristall |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019113761&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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