The Language of Shape - 1st Edition - ISBN: 9780444815385, 9780080542546

The Language of Shape

1st Edition

The Role of Curvature in Condensed Matter: Physics, Chemistry and Biology

Authors: S. Hyde Z. Blum T. Landh S. Lidin B.W. Ninham S. Andersson K. Larsson
eBook ISBN: 9780080542546
Hardcover ISBN: 9780444815385
Imprint: Elsevier Science
Published Date: 19th November 1996
Page Count: 383
Tax/VAT will be calculated at check-out
15% off
15% off
15% off
15% off
15% off
File Compatibility per Device

PDF, EPUB, VSB (Vital Source):
PC, Apple Mac, iPhone, iPad, Android mobile devices.

Amazon Kindle eReader.

Institutional Access


This book develops the thesis that structure and function in a variety of condensed systems - from the atomic assemblies in inorganic frameworks and organic molecules, through molecular self-assemblies to proteins - can be unified when curvature and surface geometry are taken together with molecular shape and forces. An astonishing variety of synthetic and biological assemblies can be accurately modelled and understood in terms of hyperbolic surfaces, whose richness and beauty are only now being revealed by applied mathematicians, physicists, chemists and crystallographers. These surfaces, often close to periodic minimal surfaces, weave and twist through space, carving out interconnected labyrinths whose range of topologies and symmetries challenge the imaginative powers.

The book offers an overview of these structures and structural transformations, convincingly demonstrating their ubiquity in covalent frameworks from zeolites used for cracking oil and pollution control to enzymes and structural proteins, thermotropic and lyotropic bicontinuous mesophases formed by surfactants, detergents and lipids, synthetic block copolymer and protein networks, as well as biological cell assemblies, from muscles to membranes in prokaryotic and eukaryotic cells. The relation between structure and function is analysed in terms of the previously neglected hidden variables of curvature and topology. Thus, the catalytic activity of zeolites and enzymes, the superior material properties of interpenetrating networks in microstructured polymer composites, the transport requirements in cells, the transmission of nerve signals and the folding of DNA can be more easily understood in the light of this.

The text is liberally sprinkled with figures and colour plates, making it accessible to both the beginning graduate student and researchers in condensed matter physics and chemistry, mineralogists, crystallographers and biologists.

Table of Contents

Preface. 1. The Mathematics of Curvature. 2. The Lessons of Chemistry. Inorganic Chemistry: From the discrete lattice of crystal symmetry to the continuous manifolds of differential geometry. Organic Chemistry: The shape of molecules. 3. Molecular Forces and Self–Assembly. 4. Beyond Flatland. The Geometric Forms due to Self–Assembly. 5. Lipid Self–Assembly and Function in Biological Systems. Self-association of lipids in an aqueous environment. Cell membranes. 6. Folding and Function in Proteins and DNA. 7. Cytomembranes and Cubic Membrane Systems Revisited. 8. Some Miscellaneous Speculations. Templating. Supra self-assembly. Index.


No. of pages:
© Elsevier Science 1997
Elsevier Science
eBook ISBN:
Hardcover ISBN:

About the Author

S. Hyde

Affiliations and Expertise

Australian National University, Canberra, Australia

Z. Blum

T. Landh

S. Lidin

Affiliations and Expertise

University of Lund, Sweden

B.W. Ninham

Affiliations and Expertise

Australian National University, Canberra, Australia

S. Andersson

Affiliations and Expertise

Sandviks Forskningsinstitut, S-380 74 Löttorp, Sweden

K. Larsson

Kare Larsson, Camurus Lipid Research Foundation, Lund, Sweden.

Affiliations and Expertise

KL Chem AB, S-237 34 Bjärred and Camurus Lipid Research, S-223 70 Lund, Sweden