Geometry and Thermodynamics

Common Problems of Quasi-Crystals, Liquid Crystals, and Incommensurate Systems

  • J.-C. Tolédano

Part of the NATO ASI Series book series (NSSB, volume 229)

Table of contents

  1. Front Matter
    Pages i-x
  2. Structure and Geometry

    1. Alan L. Mackay
      Pages 1-8
    2. Christian Janot, Jean-Marie Dubois, Marc de Boissieu
      Pages 9-24
    3. Brigitte Pansu, Elisabeth Dubois-Violette
      Pages 83-87
    4. P. Guyot, M. Audier
      Pages 89-107
    5. J. Van Landuyt, G. Van Tendeloo, S. Amelinckx
      Pages 119-131
  3. Models for Stability and Growth

    1. D. P. DiVincenzo
      Pages 133-139
    2. Marco Ronchetti, Mauro Bertagnolli, Marko V. Jarić
      Pages 141-158
    3. P. Tolédano, C. Katarci, V. P. Dmitriev, Yu. M. Gufan, S. B. Rochal
      Pages 173-177
    4. R. M. Hornreich, S. Shtrikman
      Pages 205-214
    5. J. B. Fournier, J. F. Sadoc, G. Durand
      Pages 215-219
    6. E. B. Sirota, C. R. Safinya, G. S. Smith, R. Plano, D. Roux, N. A. Clark
      Pages 255-263
    7. Yoshihiro Ishibashi, Tomoyuki Nagaya, Hiroshi Orihara
      Pages 265-271
    8. Volker Heine, C. Cheng
      Pages 311-322
    9. J. C. Tolédano, J. Schneck, L. Pierre
      Pages 335-345
    10. M. Renata Chaves, Abílio Almeida
      Pages 353-369
  4. Dynamics and Phasons

    1. M. Čopič, I. Drevenšek, I. Muševič, R. Blinc
      Pages 395-403
    2. H. Z. Cummins, Gen Li, N. Tao, R. M. Pick, C. Dreyfus, M. Hebbache
      Pages 417-428
    3. F. Milia, G. Papavassiliou
      Pages 429-438
  5. Back Matter
    Pages 463-466

About this book


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.


aluminium barium bismuth crystal crystal structure diffusion electron electron microscopy fields microscopy nuclear magnetic resonance (NMR) phase transition quasicrystal sodium thermodynamics

Editors and affiliations

  • J.-C. Tolédano
    • 1
  1. 1.National Center of Telecommunication StudiesBagneuxFrance

Bibliographic information

  • DOI
  • Copyright Information Plenum Press, New York 1990
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-6702-4
  • Online ISBN 978-1-4615-3816-5
  • Series Print ISSN 0258-1221
  • Buy this book on publisher's site
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