Geometry and Thermodynamics: Common Problems of Quasi-Crystals, Liquid Crystals, and Incommensurate Systems

Front Matter....Pages i-x
Hierarchic Structure....Pages 1-8
The Structure of Quasicrystals : From Diffraction Patterns to Atom Positions....Pages 9-24
Determination of Quasi — Crystal Structures by Higher Dimensional Analysis....Pages 25-37
Six-Dimensional Atoms for a Decorated Three-Dimensional Penrose Tiling....Pages 39-48
Metrical Aspects of Quasicrystal Embedding in Superspace....Pages 49-65
Landau Theory and Direct Methods for Crystal Structure Analysis....Pages 67-71
Geometry of Films of Amphiphile Molecules: A Curved Space Approach....Pages 73-82
Geometrical Approach of Blue Phases....Pages 83-87
Electron Microscopy and Quasicrystals....Pages 89-107
On the Dark Field Imaging Behaviour of Icosahedral Phases in Rapidly Cooled Aluminium Alloys....Pages 109-117
Electron Microscopy of Modulated Structures....Pages 119-131
Physical Models of Perfect Quasicrystal Growth....Pages 133-139
Generation and Dynamics of Defects in Two-Dimensional Quasicrystals....Pages 141-158
Intrinsic Stability of Quasicrystals and Behaviour Under a Load of Frenkel Defects....Pages 159-172
Reconstructive Phase Transition to the Icosahedral Phase....Pages 173-177
Structure and Growth of Two- and Three-Dimensional Hexatic Liquid Crystals....Pages 179-191
The Tiling Structure of Simple Liquids Squares and Triangles in Two Dimensions....Pages 193-204
Does Cholesteric Blue Phase III Have an Icosahedral Structure?....Pages 205-214
Intrinsic Frustration and Space Curvature in Smectic a Liquid Crystals....Pages 215-219
Critical Behavior of Polymorphic Smectic-A Liquid Crystals....Pages 221-254
Universal Behavior in Phospholipid Multimembrane Systems....Pages 255-263
Pattern Formation During the Ordering Processes in Nematic Liquid Crystals....Pages 265-271
Spatially Modulated Structures in Models with Competing Interactions — Some New Results....Pages 273-279
Weakly Periodic Structures with a Singular Continuous Spectrum....Pages 281-300
The Anderson Metal — Insulator Transition: Incommensurate Versus Disordered Systems....Pages 301-305
Theory of Phase Transition Between Two Incommensurate Phases in NbTe 4 ....Pages 307-309
The Origin of Polytypes in SiC and ZnS....Pages 311-322
Structural Modulations in the High-Temperature Superconductor YBa 2 Cu 3 O 7-δ and Semi Conducting WO 3-x Aspects of Non-Equilibrium Behaviour....Pages 323-333
Incommensurate Modulations in Bismuth-Based High-Tc Superconductors....Pages 335-345
Incommensurate — Commensurate Phase Transition of Cu 2 - × Te. (x < 0.05)....Pages 347-352
Review of the Commensurate and Incommensurate Transitions in BCCD....Pages 353-369
Amorphous and Quasicrystalline Al-Cr and Al-Cr-Si Phases Produced by Solid State Diffusion of Alternating Thin Layers....Pages 371-381
Phasons and Amplitudons in Modulated Structures....Pages 383-386
Phonons in Quasicrystals and Related Structures....Pages 387-394
Phasons in Ferroelectric Liquid Crystals....Pages 395-403
Atomic Debye-Waller Factors and Phasons in Modulated Incommensurate Structures....Pages 405-415
The Landau Free Energy and Acoustic Anomalies in Incommensurate Insulators....Pages 417-428
NMR and NQR in Incommensurate Systems....Pages 429-438
Do We Understand Optical Activity in the Incommensurate Phase of the A 2 BX 4 Family ?....Pages 439-445
The Coupling Between Phason and Soft Modes Near the Smectic C* to Smectic a Phase Transition....Pages 447-451
Optical Measurements of Diffusivities in Incommensurate Barium Sodium Niobate....Pages 453-462
Back Matter....Pages 463-466