LEADER 05038nam 2200577 a 450 001 9910876513403321 005 20200520144314.0 010 $a1-280-52113-9 010 $a9786610521135 010 $a3-527-60657-2 010 $a3-527-60678-5 035 $a(CKB)1000000000377459 035 $a(EBL)482340 035 $a(OCoLC)70115107 035 $a(SSID)ssj0000231424 035 $a(PQKBManifestationID)11207807 035 $a(PQKBTitleCode)TC0000231424 035 $a(PQKBWorkID)10205511 035 $a(PQKB)11247104 035 $a(MiAaPQ)EBC482340 035 $a(EXLCZ)991000000000377459 100 $a20031030d2003 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aQuasicrystals $estructure and physical properties /$fHans-Rainer Trebin (ed.) 210 $aWeinheim $cWiley-VCH$dc2003 215 $a1 online resource (674 p.) 300 $aDescription based upon print version of record. 311 $a3-527-40399-X 320 $aIncludes bibliographical references and index. 327 $aQuasicrystals Structure and Physical Properties; Preface; Contents; List of Contributors; 1 Synthesis, metallurgy and characterization; 1.1 Single-quasicrystal growth; 1.1.1 Introduction; 1.1.2 Solidification and phase diagrams of intermetallic alloy systems; 1.1.3 Single-crystal growth techniques; 1.1.4 Single-crystal growth of quasicrystals; 1.1.5 Conclusions; Bibliography; 1.2 Phase equilibria of the Al-Cu-Fe system; 1.2.1 Introduction; 1.2.2 Relevant data of the phase diagram in literature; 1.2.3 Experimental; 1.2.4 Phase diagram of the Al-Cu-Fe system 327 $a1.2.5 Formation and stability of the ø-phase1.2.6 Solidification behaviour; 1.2.7 Conclusions; Bibliography; 1.3 Preparation of Zn-Mg-RE quasicrystals and related compounds (RE = Y, Ho, Er, Dy); 1.3.1 Introduction; 1.3.2 Preparation methods; 1.3.3 Face centered icosahedral quasicrystals; 1.3.4 Simple icosahedral quasicrystals; 1.3.5 Decagonal quasicrystals; 1.3.6 Related crystalline compounds; 1.3.7 Summary; Bibliography; 1.4 On the formation of quasicrystals in Zr-based metallic glasses; 1.4.1 Introduction; 1.4.2 Experimental; 1.4.3 Results and discussion; 1.4.4 Alloying; 1.4.5 Conclusions 327 $aBibliography1.5 Growth of decagonal Al-Co-Ni and Al-Co-Cu quasicrystals by the Czochralski method; 1.5.1 Introduction; 1.5.2 Czochralski growth; 1.5.3 Al-Co-Ni quasicrystals; 1.5.4 Al-Co-Cu quasicrystals; 1.5.5 Summary; Bibliography; 2 Structure and mathematical modelling; 2.1 Decagon clusters in perfect and random decagonal structures; 2.1.1 Introduction; 2.1.2 The framework of cluster coverings; 2.1.3 Random cluster covering model; 2.1.4 Unit-cluster approach for Penrose-type structures; 2.1.5 Summary; Bibliography; 2.2 Coverings in the structure of quasicrystals 327 $a2.2.1 Introduction: Geometric concepts in the structure of quasicrystals2.2.2 Tiling models and the triangle tiling; 2.2.3 From tiling to covering; 2.2.4 Windows for the Delone covering of the ? tiling; 2.2.5 Colouring the tiles in the triangle tiling; 2.2.6 Covering for icosahedral tilings; 2.2.7 Summary; Bibliography; 2.3 Wavelets in the structure and physics of quasicrystals; 2.3.1 Introduction; 2.3.2 Haar Wavelets for dyadic and Fibonacci tilings; 2.3.3 Haar wavelets on the triangle and the Penrose tiling; 2.3.4 Haar wavelets for the icosahedral Danzer tiling 327 $a2.3.5 From Haar wavelets to differentiable spline wavelets2.3.6 Summary and future applications of quasiperiodic wavelets; Bibliography; 2.4 The surface structure of i-Al-Pd-Mn, a modeling approach based on the ?*?((2F)) tiling; 2.4.1 Introduction; 2.4.2 Experiment; 2.4.3 Geometric model for the atomic positions; 2.4.4 Discussion; 2.4.5 Conclusion; Bibliography; 2.5 Structural order of decagonal phases at temperatures up to 1000 °C; 2.5.1 Introduction and aims; 2.5.2 Experimental; 2.5.3 Transient ordering states; 2.5.4 Domain models; 2.5.5 Superlattice formation in d-Al(70+x)Co(y)Ni(30-x-y) 327 $a2.5.6 Long-range fluctuations 330 $aQuasicrystals form a new state of solid matter beside the crystalline and the amorphous. The positions of the atoms are ordered, but with noncrystallographic rotational symmetries and in a nonperiodic way. The new structure induces unusual physical properties, promising interesting applications. This book provides a comprehensive and up-to-date review and presents most recent research results, achieved by a collaboration of physicists, chemists, material scientists and mathematicians within the Priority Programme ""Quasicrystals: Structure and Physical Properties"" of the Deutsche Forschungsge 606 $aQuasicrystals 615 0$aQuasicrystals. 676 $a530.4/1 701 $aTrebin$b H.-R$g(Hans-Rainer)$01754095 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910876513403321 996 $aQuasicrystals$94190249 997 $aUNINA