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Geometry and Thermodynamics

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

J.C. Tolédano

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Hardback
28 February 1991
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Structure and Geometry.- Hierarchic structure.- The structure of quasicrystals: from diffraction patterns to atom positions.- Determination of quasi-crystal structures by higher dimensional analysis.- Six-dimensional atoms for a decorated three-dimensional Penrose tiling.- Metrical aspects of quasicrystal embedding in superspace.- Landau theory and direct methods for crystal structures analysis.- Geometry of films of amphiphile molecules: a curved space approach.- Geometrical approach of blue phases.- Electron microscopy and quasicrystals.- On the dark field imaging behaviour of icosahedral phases in rapidly cooled aluminium alloys.- Electron microscopy of modulated structures.- Models for Stability and Growth.- Physical models of perfect quasicrystal growth.- Generation and dynamics of defects in two-dimensional quasicrystals.- Intrinsic stability of quasicrystals and behavior under a load of Frenkel defects.- Reconstructive phase transition to the icosahedral phase.- Structure and growth of twoand three-dimensional hexatic liquid crystals.- The tiling structure of simple liquids: squares and triangles in two dimensions.- Does cholesteric blue phase III have an icosahedral structure ?.- Intrinsic frustration and space curvature in smectic A liquid crystals.- Critical behavior of polymorphic smectic-A liquid crystals.- Universal behavior in phospholipid multimembrane systems.- Pattern formation during the ordering processes in nematic liquid crystals.- Spatially modulated structures in models with competing interactions some new results.- Weakly periodic structures with a singular continuous spectrum.- The Anderson metal-insulator transition: incommensurate versus disordered systems.- Theory of phase transition between two incommensurate phases in NbTe4.- The origin of polytypes in SiC and ZnS.- Structural modulations in the high-temperature superconductor YBa2Cu3O7.? and semi conducting WO3-x, aspects of non-equilibrium behaviour.- Incommensurate modulations in bismuth-based high-Tc superconductors.- Incommensurate commensurate phase transition of Cu2-xTe. (x < 0.05).- Review of the commensurate and incommensurate transitions in BCCD.- Amorphous and quasicrystalline Al-Cr and Al-Cr-Si phases produced by solid state diffusion of alternating thin layers.- Dynamics and Phasons.- Phasons and amplitudons in modulated structures.- Phonons in quasicrystals and related structures.- Phasons in ferroelectric liquid crystals.- Atomic Debye-Waller factors and phasons in modulated incommensurate structures.- The Landau free energy and acoustic anomalies in incommensurate insulators.- NMR and NQR in incommensurate systems.- Do we understand optical activity in the incommensurate phase of the A2BX4 family.- The coupling between phason and soft modes near the smectic-C* to smectic-A phase transition.- Optical measurements of diffusivities in incommensurate barium sodium niobate.

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$151.00
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Geometry and Thermodynamics

$151.00

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Structure and Geometry.- Hierarchic structure.- The structure of quasicrystals: from diffraction patterns to atom positions.- Determination of quasi-crystal structures by higher dimensional analysis.- Six-dimensional atoms for a decorated three-dimensional Penrose tiling.- Metrical aspects of quasicrystal embedding in superspace.- Landau theory and direct methods for crystal structures analysis.- Geometry of films of amphiphile molecules: a curved space approach.- Geometrical approach of blue phases.- Electron microscopy and quasicrystals.- On the dark field imaging behaviour of icosahedral phases in rapidly cooled aluminium alloys.- Electron microscopy of modulated structures.- Models for Stability and Growth.- Physical models of perfect quasicrystal growth.- Generation and dynamics of defects in two-dimensional quasicrystals.- Intrinsic stability of quasicrystals and behavior under a load of Frenkel defects.- Reconstructive phase transition to the icosahedral phase.- Structure and growth of twoand three-dimensional hexatic liquid crystals.- The tiling structure of simple liquids: squares and triangles in two dimensions.- Does cholesteric blue phase III have an icosahedral structure ?.- Intrinsic frustration and space curvature in smectic A liquid crystals.- Critical behavior of polymorphic smectic-A liquid crystals.- Universal behavior in phospholipid multimembrane systems.- Pattern formation during the ordering processes in nematic liquid crystals.- Spatially modulated structures in models with competing interactions some new results.- Weakly periodic structures with a singular continuous spectrum.- The Anderson metal-insulator transition: incommensurate versus disordered systems.- Theory of phase transition between two incommensurate phases in NbTe4.- The origin of polytypes in SiC and ZnS.- Structural modulations in the high-temperature superconductor YBa2Cu3O7.? and semi conducting WO3-x, aspects of non-equilibrium behaviour.- Incommensurate modulations in bismuth-based high-Tc superconductors.- Incommensurate commensurate phase transition of Cu2-xTe. (x < 0.05).- Review of the commensurate and incommensurate transitions in BCCD.- Amorphous and quasicrystalline Al-Cr and Al-Cr-Si phases produced by solid state diffusion of alternating thin layers.- Dynamics and Phasons.- Phasons and amplitudons in modulated structures.- Phonons in quasicrystals and related structures.- Phasons in ferroelectric liquid crystals.- Atomic Debye-Waller factors and phasons in modulated incommensurate structures.- The Landau free energy and acoustic anomalies in incommensurate insulators.- NMR and NQR in incommensurate systems.- Do we understand optical activity in the incommensurate phase of the A2BX4 family.- The coupling between phason and soft modes near the smectic-C* to smectic-A phase transition.- Optical measurements of diffusivities in incommensurate barium sodium niobate.

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