Incommensurate Crystals, Liquid Crystals, and Quasi-Crystals

1. Front Matter

   Pages i-ix

   PDF

2. Incommensurate Crystals

   1. Theory

      1. A Phenomenological Theory of the Transition Sequence including an Incommensurate (Commensurate) Phase Sandwiched by Reentrant Commensurate (Incommensurate) Phase

         • Yoshihiro Ishibashi

         Pages 1-8

      2. Dauphiné-Twin Domain Configurations in Quartz and Aluminum Phosphate

         • M. B. Walker

         Pages 9-18

      3. Elastic and Inelastic Scattering from Quasi-Periodic Structures

         • T. Janssen, R. Currat

         Pages 19-33

      4. Are Exotic Consequences of Incommensurability in Solids Experimentally Observable?

         • J. B. Sokoloff

         Pages 35-43

   2. Theory — Numerical Methods

      1. The Application of Axial Ising Models to the Description of Modulated Order

         • Julia Yeomans

         Pages 45-54

      2. Two-Dimensional Models of Commensurate-Incommensurate Phase Transitions

         • Paul D. Beale

         Pages 55-61

      3. Growth Kinetics in a Frustrated System: The Quenched Axial Next-Nearest-Neighbor Ising Model

         • D. J. Srolovitz, G. N. Hassold

         Pages 63-73

   3. Experiment

      1. Electron Microscopy of Incommensurate Structures

         • G. Van Tendeloo, J. Landuyt, S. Amelinckx

         Pages 75-89

      2. Effect of Transverse Electric Fields on the Incommensurate Phase of NaNO2

         • H. Z. Cummins, S. L. Qiu, Mitra Dutta, J. P. Wicksted, S. M. Shapiro

         Pages 91-104

      3. Light Scattering from Incommensurate Insulators; Mainly BaMnF4

         • D. J. Lockwood

         Pages 105-118

      4. Brillouin Scattering Study of Incommensurate Crystals

         • Toshirou Yagi

         Pages 119-126

      5. Experimental Results Related to the Normal-Incommensurate Phase Transition in A2MX4 Compounds

         • M. Quilichini

         Pages 127-138

      6. Some Aspects of Raman Scattering from A2BX4 Compounds

         • F. G. Ullman, V. Katkanant, P. J. Edwardson, J. R. Hardy

         Pages 139-150

      7. Intrinsic Defects in Insulating Incommensurate Crystals

         • Pierre Saint-Grégoire

         Pages 151-162

      8. Thermal Hysteresis, Solitons and Domain Walls

         • H.-G. Unruh, A. Levstik

         Pages 163-176

      9. Thermal Memory and Phase Conjugation Experiments in Incommensurate Barium Sodium Niobate

         • W. F. Oliver, J. F. Scott

         Pages 177-186

3. Incommensurate Liquid Crystals

   1. Theory

      1. Phasons in Quasi-Crystals and Incommensurate Liquid Crystals

         • T. C. Lubensky

         Pages 187-204

      2. The Frustrated Spin-Gas Theory of Multiply Reentrant Liquid Crystals

         • A. Nihat Berker, J. O. Indekeu

         Pages 205-213

      3. Macroscopic Description of Ferroelectric Chiral Smectic C* Liquid Crystals

         • B. Zeks, T. Carlsson, C. Filipic, A. Levstik

         Pages 215-222

In this NATO-sponsored Advanced Research Workshop we succeeded in bringing together approximately forty scientists working in the three main areas of structurally incommensurate materials: incommensurate crystals (primarily ferroelectric insulators), incommensurate liquid crystals, and metallic quasi-crystals. Although these three classes of materials are quite distinct, the commonality of the physics of the origin and descrip­ tion of these incommensurate structures is striking and evident in these proceedings. A measure of the success of this conference was the degree to which interaction among the three subgroups occurred; this was facili­ tated by approximately equal amounts of theory and experiment in the papers presented. We thank the University of Colorado for providing pleasant housing and conference facilities at a modest cost, and we are especially grate­ ful to Ann Underwood, who retyped all the manuscripts into camera-ready form. J. F. Scott Boulder, Colorado N. A. Clark v CONTENTS PART I: INCOMMENSURATE CRYSTALS A. Theory A PHENOMENOLOGICAL THEORY OF THE TRANSITION SEQUENCE INCLUDING AN INCOMMENSURATE (COMMENSURATE) PHASE SANDWICHED BY REENTRANT COMMENSURATE (INCOMMENSURATE) PHASE - Yoshihiro Ishibashi . . . . . 1 DAUPHINE-TWIN DOMAIN CONFIGURATIONS IN QUARTZ AND ALUMINUM PHOSPHATE - M. B. Wa lker . . . . . . . . . . 9 ELASTIC AND INELASTIC SCATTERING FROM QUASI-PERIODIC STRUCTURES - T. Janssen and R. Currat . . . . . 19 ARE EXOTIC CONSEQUENCES OF INCOMMENSURABILITY IN SOLIDS EXPERIMENTALLY OBSERVABLE? - J. B. Sokoloff. 35 B. Theory - Numerical l1ethods THE APPLICATION OF AXIAL ISING MODELS TO THE DESCRIPTION OF MODULATED ORDER - Julia Yeomans . . 45 TWO-DIMENSIONAL MODELS OF COMMENSURATE-INCOMMENSURATE PHASE TRANSITIONS - Palll D. Beale . . .

• X-ray
• crystal
• diffraction
• electricity
• electron
• electron microscopy
• environment
• fields
• heat
• kinetics
• microscopy
• phase transition
• physics
• quasicrystal
• scattering

• University of Colorado, Boulder, USA

  J. F. Scott, N. A. Clark

Policies and ethics