Holdings: Geometrical frustration

Geometrical frustration:

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Bibliographic Details
Main Authors:	Sadoc, Jean-François (Author), Mosseri, Rémy (Author)
Format:	Book
Language:	English
Published:	Cambridge [u.a.] Cambridge Univ. Press 1999
Edition:	1. publ.
Series:	Collection Aléa-Saclay: Monographs and texts in statistical physics
Subjects:	Condensed matter Materials Statistical physics Physikalische Eigenschaft Quasiperiodizität Kristallstruktur
Online Access:	Inhaltsverzeichnis
Physical Description:	XII, 307 S. Ill., graph. Darst.
ISBN:	0521441986

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MARC


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Record in the Search Index

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adam_text	GEOMETRICAL FRUSTRATION JEAN-FRANCOIS SADOC UNIVERSITE DE PARIS-SUD REMYMOSSERI UNIVERSITE PARIS - JUSSIEU CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE PAGE XI 1 INTRODUCTION TO GEOMETRICAL FRUSTRATION 1 1.1 FROM CUBISM TO ICOSAHEDRISM 1 1.2 GEOMETRY 5 1.3 GEOMETRICAL FRUSTRATION 9 2 IDEAL MODELS 14 2.1 A UNIFIED APPROACH TO VERY DIFFERENT MATERIALS 14 2.2 SIMPLE TWO-DIMENSIONAL EXAMPLES 15 2.3 METALS 17 2.4 THE {3, 3, 5} POLYTOPE: AN IDEAL TEMPLATE FOR AMORPHOUS METALS 21 2.5 COVALENT TETRACOORDINATED STRUCTURES 25 2.6 FRUSTRATION IN LAMELLAR LIQUID CRYSTALS AND AMPHIPHILES 33 2.7 LAMELLAR STRUCTURES IN CURVED SPACES 36 2.8 FRUSTRATION AND CURVED SPACE STRUCTURE FOR BLUE PHASES 39 2.9 FRUSTRATION IN POLYMERS 43 3 FINITE STRUCTURES 45 3.1 FINITE CLUSTERS 45 3.2 TOROIDAL VESICLES WITH PHOSPHOLIPID MEMBRANES 51 4 DECURVING AND DISCLINATIONS 57 4.1 DISCLINATIONS 57 4.2 WEDGE AND SCREW DISCLINATIONS 64 4.3 COORDINATION NUMBER, DISCLINATION DENSITY AND REGGE CALCULUS 72 4.4 CONSERVATION LAWS 86 4.5 DEFECTS AND TOPOLOGY 89 VLL VLLL CONTENTS 5 HIERARCHICAL POLYTOPES 100 5.1 HIERARCHICAL POLYTOPES AND SYMMETRY GROUPS 100 5.2 HIERARCHY AND SCALING 106 5.3 MATRIX FORMULATION OF THE HIERARCHICAL STRUCTURES 111 5.4 DISORDER AND NON-COMMUTATIVE DEFECTS 113 5.5 DEFLATION OF THE ORTHOSCHEME 119 6 SOME PHYSICAL PROPERTIES 128 6.1 STRUCTURE FACTOR OF POLYTOPES AND ORIENTATIONAL ORDER 128 6.2 SPECIFIC VOLUME VARIATION IN DISORDERED SOLIDS: A SIMPLE MODEL 134 6.3 LANDAU THEORY OF FRUSTRATED SYSTEMS 137 6.4 TWO-LEVEL SYSTEMS 139 6.5 FRUSTRATION-LIMITED DOMAIN THEORY 146 6.6 EXCITATION SPECTRUM 148 7 PERIODIC STRUCTURES WITH LARGE CELLS 158 7.1 FRUSTRATION AND LARGE CELL CRYSTALS 158 7.2 COMPLEX STRUCTURES IN METALS 158 7.3 MELTING OF MODEL STRUCTURES 181 7.4 TETRACOORDINATED STRUCTURES 188 7.5 LIQUID CRYSTAL STRUCTURES 189 8 QUASIPERIODIC ORDER AND FRUSTRATION 196 8.1 QUASICRYSTALS: THE SPECTACULAR APPEARANCE OF QUASIPERIODIC ORDER IN SOLID STATE PHYSICS 196 8.2 HIERARCHICAL CLUSTERS IN QUASICRYSTALS 198 8.3 RANDOM TILINGS 199 8.4 RANDOM TILINGS IN ONE DIMENSION 201 8.5 TWO-DIMENSIONAL TILINGS 202 8.6 THREE-DIMENSIONAL RHOMBOHEDRAL TILINGS 209 8.7 GLASS-LIKE PROPERTIES IN QUASICRYSTALS 211 AL SPACES WITH CONSTANT CURVATURE 214 AL.L THE THREE GEOMETRIES 214 A1.2 SPHERICAL SPACES 216 A 1.3 TWO- AND THREE-DIMENSIONAL CYLINDRICAL SPACES 220 A 1.4 INTRINSIC CURVATURE 222 CONTENTS IX A2 QUATERNIONS AND RELATED GROUPS 224 A2.1 QUATERNIONS 224 A2.2 SOME CONTINUOUS GROUPS ACTING ON SPHERES 225 A2.3 DISCRETE GROUPS 227 A3 HOPFFIBRATION 230 A3.1 FIBRATIONS 230 A3.2 HOPFFIBRATION 231 A4 POLYTOPES AND HONEYCOMBS 237 A4.1 SYMMETRIES AND ORTHOSCHEME TETRAHEDRA 237 A4.2 POLYTOPES AND HONEYCOMBS 245 A5 POLYTOPE {3, 3,5} 248 A5.1 THE GEOMETRY OF POLYTOPE {3, 3, 5} 248 A5.2 DESCRIPTION IN TERMS OF TOROIDAL SHELLS 252 A6 FRANK AND KASPER COORDINATION POLYHEDRA 255 A6.1 FRANK AND KASPER POLYHEDRA 255 A6.2 POSITIVE AND NEGATIVE DISCLINATIONS 257 A7 QUASIPERIODIC TILINGS: CUT AND PROJECTION 263 A7.1 CUT AND PROJECTION ALGORITHM 263 A7.2 CODIMENSION 1 APPROXIMANTS 265 A7.3 APPROXIMANTS OF THE OCTAGONAL TILING 267 A7.4 AN ALMOST OCTAGONAL QUASIPERIODIC TILING: THE LABYRINTH 271 A8 DIFFERENTIAL GEOMETRY AND PARALLEL TRANSPORT 27 3 A8.1 MANIFOLD AND TANGENT SPACE 273 A8.2 GEODESIC EQUATION 274 A8.3 PARALLEL TRANSPORT AND CURVATURE 275 A9 ICOSAHEDRAL QUASICRYSTALS AND THE ES LATTICE 286 A9.1 INTRODUCTION 286 A9.2 THE ES LATTICE 286 X CONTENTS A9.3 A DISCRETE HOPF FIBRATION ON THE GOESSET POLYTOPE 287 A9.4 SHELLING THE QUASICRYSTAL 289 A9.5 THE 2D-LD ASPECT OF THE SHELL-BY-SHELL CONSTRUCTION OF THE QUASICRYSTAL 292 A9.6 QUASICRYSTALS OF LOWER DIMENSION 296 BIBLIOGRAPHY 298 INDEX 305
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author	Sadoc, Jean-François Mosseri, Rémy
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spelling	Sadoc, Jean-François Verfasser aut Geometrical frustration Jean-François Sadoc ; Rémy Mosseri 1. publ. Cambridge [u.a.] Cambridge Univ. Press 1999 XII, 307 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Collection Aléa-Saclay: Monographs and texts in statistical physics Condensed matter Materials Statistical physics Physikalische Eigenschaft (DE-588)4134738-9 gnd rswk-swf Quasiperiodizität (DE-588)4247312-3 gnd rswk-swf Kristallstruktur (DE-588)4136176-3 gnd rswk-swf Quasiperiodizität (DE-588)4247312-3 s DE-604 Kristallstruktur (DE-588)4136176-3 s Physikalische Eigenschaft (DE-588)4134738-9 s Mosseri, Rémy Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008737831&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Sadoc, Jean-François Mosseri, Rémy Geometrical frustration Condensed matter Materials Statistical physics Physikalische Eigenschaft (DE-588)4134738-9 gnd Quasiperiodizität (DE-588)4247312-3 gnd Kristallstruktur (DE-588)4136176-3 gnd
subject_GND	(DE-588)4134738-9 (DE-588)4247312-3 (DE-588)4136176-3
title	Geometrical frustration
title_auth	Geometrical frustration
title_exact_search	Geometrical frustration
title_full	Geometrical frustration Jean-François Sadoc ; Rémy Mosseri
title_fullStr	Geometrical frustration Jean-François Sadoc ; Rémy Mosseri
title_full_unstemmed	Geometrical frustration Jean-François Sadoc ; Rémy Mosseri
title_short	Geometrical frustration
title_sort	geometrical frustration
topic	Condensed matter Materials Statistical physics Physikalische Eigenschaft (DE-588)4134738-9 gnd Quasiperiodizität (DE-588)4247312-3 gnd Kristallstruktur (DE-588)4136176-3 gnd
topic_facet	Condensed matter Materials Statistical physics Physikalische Eigenschaft Quasiperiodizität Kristallstruktur
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008737831&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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