The crystal lattice : phonons, solitons, dislocations, superlattices / / Arnold M. Kosevich
| The crystal lattice : phonons, solitons, dislocations, superlattices / / Arnold M. Kosevich |
| Autore | Kosevich Arnold Markovich |
| Edizione | [2nd, rev. & updated ed.] |
| Pubbl/distr/stampa | [Berlin ; ; New York], : Wiley-VCH, c2005 |
| Descrizione fisica | 1 online resource (359 p.) |
| Disciplina | 548/.81 |
| Soggetto topico | Crystal lattices |
| ISBN |
9786610854035
9781280854033 1280854030 9783527606931 3527606939 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
The Crystal Lattice; Contents; Prefaces; Part 1 Introduction; 0 Geometry of Crystal Lattice; 0.1 Translational Symmetry; 0.2 Bravais Lattice; 0.3 The Reciprocal Lattice; 0.4 Use of Penetrating Radiation to Determine Crystal Structure; 0.4.1 Problems; Part 2 Classical Dynamics of a Crystal Lattice; 1 Mechanics of a One-Dimensional Crystal; 1.1 Equations of Motion and Dispersion Law; 1.1.1 Problems; 1.2 Motion of a Localized Excitation in a Monatomic Chain; 1.3 Transverse Vibrations of a Linear Chain; 1.4 Solitons of Bending Vibrations of a Linear Chain; 1.5 Dynamics of Biatomic 1D Crystals
1.6 Frenkel-Kontorova Model and sine-Gordon Equation1.7 Soliton as a Particle in 1D Crystals; 1.8 Harmonic Vibrations in a 1D Crystal Containing a Crowdion (Kink); 1.9 Motion of the Crowdion in a Discrete Chain; 1.10 Point Defect in the 1D Crystal; 1.11 Heavy Defects and 1D Superlattice; 2 General Analysis of Vibrations of Monatomic Lattices; 2.1 Equation of Small Vibrations of 3D Lattice; 2.2 The Dispersion Law of Stationary Vibrations; 2.3 Normal Modes of Vibrations; 2.4 Analysis of the Dispersion Law; 2.5 Spectrum of Quasi-Wave Vector Values; 2.6 Normal Coordinates of Crystal Vibrations 2.7 The Crystal as a Violation of Space Symmetry2.8 Long-Wave Approximation and Macroscopic Equations for the Displacements Field; 2.9 The Theory of Elasticity; 2.10 Vibrations of a Strongly Anisotropic Crystal (Scalar Model); 2.11 "Bending" Waves in a Strongly Anisotropic Crystal; 2.11.1 Problem; 3 Vibrations of Polyatomic Lattices; 3.1 Optical Vibrations; 3.2 General Analysis of Vibrations of Polyatomic Lattice; 3.3 Molecular Crystals; 3.4 Two-Dimensional Dipole Lattice; 3.5 Optical Vibrations of a 2D Lattice of Bubbles; 3.6 Long-Wave Librational Vibrations of a 2D Dipole Lattice 3.7 Longitudinal Vibrations of 2D Electron Crystal3.8 Long-Wave Vibrations of an Ion Crystal; 3.8.1 Problems; 4 Frequency Spectrum and Its Connection with the Green Function; 4.1 Constant-Frequency Surface; 4.2 Frequency Spectrum of Vibrations; 4.3 Analysis of Vibrational Frequency Distribution; 4.4 Dependence of Frequency Distribution on Crystal Dimensionality; 4.5 Green Function for the Vibration Equation; 4.6 Retarding and Advancing Green Functions; 4.7 Relation Between Density of States and Green Function; 4.8 The Spectrum of Eigenfrequencies and the Green Function of a Deformed Crystal 4.8.1 Problems5 Acoustics of Elastic Superlattices: Phonon Crystals; 5.1 Forbidden Areas of Frequencies and Specific Dynamic States in such Areas; 5.2 Acoustics of Elastic Superlattices; 5.3 Dispersion Relation for a Simple Superlattice Model; 5.3.1 Problem; Part 3 Quantum Mechanics of Crystals; 6 Quantization of Crystal Vibrations; 6.1 Occupation-Number Representation; 6.2 Phonons; 6.3 Quantum-Mechanical Definition of the Green Function; 6.4 Displacement Correlator and the Mean Square of Atomic Displacement; 6.5 Atomic Localization near the Crystal Lattice Site 6.6 Quantization of Elastic Deformation Field |
| Record Nr. | UNINA-9911020100003321 |
Kosevich Arnold Markovich
|
||
| [Berlin ; ; New York], : Wiley-VCH, c2005 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The crystal lattice : phonons, solitons, dislocations
| The crystal lattice : phonons, solitons, dislocations |
| Autore | Kosevich Arnol'd Markovich |
| Pubbl/distr/stampa | [Place of publication not identified], : Wiley VCH, 1999 |
| Descrizione fisica | 1 online resource (325 pages) |
| Disciplina | 548/.81 |
| Soggetto topico |
Crystal lattices
Materials Science Chemical & Materials Engineering Engineering & Applied Sciences |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-55953-5
9786610559534 3-527-60308-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996204185503316 |
Kosevich Arnol'd Markovich
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||
| [Place of publication not identified], : Wiley VCH, 1999 | ||
| Lo trovi qui: Univ. di Salerno | ||
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Crystal structure analysis : principles and practice / / Alexander J. Blake ... [et al.] ; edited by William Clegg
| Crystal structure analysis : principles and practice / / Alexander J. Blake ... [et al.] ; edited by William Clegg |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Oxford ; ; New York, : Oxford University Press, 2009 |
| Descrizione fisica | 1 online resource (406 p.) |
| Disciplina | 548/.81 |
| Altri autori (Persone) |
BlakeAlexander J
CleggWilliam <1949-> |
| Collana | International Union of Crystallography book series |
| Soggetto topico |
X-ray crystallography
Crystals - Structure |
| ISBN |
1-5231-2125-4
0-19-921947-8 9786612349102 0-19-156994-1 1-282-34910-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; 1 Introduction to diffraction; 1.1 Introduction; 1.2 X-ray scattering from electrons; 1.3 X-ray scattering from atoms; 1.4 X-ray scattering from a unit cell; 1.5 The effects of the crystal lattice; 1.6 X-ray scattering from the crystal; 1.7 The structure-factor equation; 1.8 The electron-density equation; 1.9 A mathematical relationship; 1.10 Bragg's law; 1.11 Resolution; 1.12 The phase problem; 2 Introduction to symmetry and diffraction; 2.1 The relationship between a crystal structure and its diffraction pattern; 2.2 Translation symmetry in crystalline solids
2.3 Symmetry of individual molecules, with relevance to crystalline solids2.4 Symmetry in the solid state; 2.5 Diffraction and symmetry; 2.6 Further points; Exercises; 3 Crystal growth and evaluation; 3.1 Introduction; 3.2 Protect your crystals; 3.3 Crystal growth; 3.4 Survey of methods; 3.4.1 Solution methods; 3.4.2 Sublimation; 3.4.3 Fluid-phase growth; 3.4.4 Solid-state synthesis; 3.4.5 General comments; 3.5 Evaluation; 3.5.1 Microscopy; 3.5.2 X-ray photography; 3.5.3 Diffractometry; 3.6 Crystal mounting; 3.6.1 Standard procedures; 3.6.2 Air-sensitive crystals; 3.6.3 Crystal alignment 4 Space-group determination4.1 Introduction; 4.2 Prior knowledge and information other than from diffraction; 4.3 Metric symmetry and Laue symmetry; 4.4 Unit cell contents; 4.5 Systematic absences; 4.6 The statistical distribution of intensities; 4.7 Other points; 4.8 A brief conducted tour of some entries in International Tables for Crystallography, Volume A; Exercises; 5 Background theory for data collection; 5.1 Introduction; 5.2 A step-wise theoretical journey through an experiment; 5.3 The geometry of X-ray diffraction; 5.3.1 Real-space considerations: Bragg's law 5.3.2 Reciprocal-space considerations: the Ewald sphere5.4 Determining the unit cell: the indexing process; 5.4.1 Indexing: a conceptual view; 5.4.2 Indexing procedure; 5.5 Relating diffractometer angles to unit cell parameters: determination of the orientation matrix; 5.6 Data-collection procedures and strategies; 5.6.1 Criteria for selecting which data to collect; 5.6.2 How best to measure data: the need for reflection scans; 5.7 Extracting data intensities: data integration and reduction; 5.7.1 Background subtraction; 5.7.2 Data integration; 5.7.3 Crystal and geometric corrections to data Exercises6 Practical aspects of data collection; 6.1 Introduction; 6.2 Collecting data with area-detector diffractometers; 6.3 Experimental conditions; 6.3.1 Radiation; 6.3.2 Temperature; 6.3.3 Pressure; 6.3.4 Other conditions; 6.4 Types of area detector; 6.4.1 Multiwire proportional chamber (MWPC); 6.4.2 Phosphor coupled to a TV camera; 6.4.3 Image plate (IP); 6.4.4 Charge-coupled device (CCD); 6.5 Some characteristics of CCD area-detector systems; 6.5.1 Spatial distortion; 6.5.2 Non-uniform intensity response; 6.5.3 Bad pixels; 6.5.4 Dark current; 6.6 Crystal screening 6.6.1 Unit cell and orientation matrix determination |
| Record Nr. | UNINA-9911006689803321 |
| Oxford ; ; New York, : Oxford University Press, 2009 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Crystal structure refinement [[electronic resource] ] : a crystallographers guide to SHELXL / / Peter Müller ... [et al.] ; edited by Peter Müller
| Crystal structure refinement [[electronic resource] ] : a crystallographers guide to SHELXL / / Peter Müller ... [et al.] ; edited by Peter Müller |
| Pubbl/distr/stampa | Oxford ; ; New York, : Oxford University Press, 2006 |
| Descrizione fisica | 1 online resource (232 p.) |
| Disciplina | 548/.81 |
| Altri autori (Persone) | MüllerPeter <1970-> |
| Collana | IUCR texts on crystalography |
| Soggetto topico |
Crystals - Structure
Crystals - Refining Crystals - Data processing |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-19-152476-X
1-4356-0975-1 1-282-36573-8 9786612365737 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; 1 SHELXL; 1.1 The SHELX program suite; 1.1.1 SHELXTL and other programs; 1.2 SHELXL; 1.2.1 Program organization; 1.2.2 The instruction file name.ins; 1.2.3 The reflection data file name.hkl; 1.2.4 Merging data in SHELXL; 1.2.5 The connectivity table; 2 Crystal structure refinement; 2.1 Least-squares refinement; 2.1.1 Refinement against F or F[sup(2)]-is that a question?; 2.2 Weak data and high-resolution cut-off; 2.3 Residual factors; 2.4 Parameters; 2.5 Constraints; 2.5.1 Site occupancy factors; 2.5.2 Special position constraints; 2.5.3 Rigid group constraints
2.5.4 Floating origin constraints2.5.5 Hydrogen atoms; 2.5.6 Constraints in SHELXL; 2.6 Restraints; 2.6.1 Geometrical restraints; 2.6.2 Restraints on displacement parameters; 2.6.3 Other restraints; 2.7 Free variables in SHELXL; 2.8 Results; 2.8.1 Bond lengths and angles; 2.8.2 Torsion angles; 2.8.3 Atoms on common planes; 2.8.4 Hydrogen bonds; 2.8.5 The RTAB command; 2.8.6 The MORE command; 2.8.7 The .cif file; 2.9 Refinement problems; 3 Hydrogen atoms; 3.1 X--H bond lengths and U[sub(eq)] values of H atoms; 3.2 Hydrogen bound to different atom types; 3.2.1 Hydrogen bound to carbon atoms 3.2.2 Hydrogen bound to nitrogen and oxygen3.2.3 Hydrogen bound to metals; 3.3 Placing hydrogen atoms in SHELXL; 3.3.1 List of most common m and n values in HFIX commands; 3.3.2 Semi-free refinement of acidic hydrogen atoms; 3.4 Hydrogen bonds in SHELXL; 3.5 Examples; 3.5.1 Routine hydrogen atom placement: C[sub(31)]H[sub(54)]MoN[sub(2)]O[sub(2)]; 3.5.2 Hydrogen atoms in a Zr-hydride; 3.5.3 Acidic hydrogen atoms and hydrogen bonds; 4 Atom type assignment; 4.1 All electrons are blue; 4.2 Chemical knowledge; 4.3 Crystallographic knowledge; 4.4 Examples 4.4.1 Tetrameric InCl[sub(3)]-the N or O question4.4.2 A cobalt salt; 4.4.3 Unclear central metal atom; 5 Disorder; 5.1 Types of disorder; 5.1.1 Substitutional disorder; 5.1.2 Positional disorder; 5.1.3 Mess-a special case of disorder; 5.2 Refinement of disorder; 5.2.1 Refinement of disorder with SHELXL; 5.3 Examples; 5.3.1 Gallium-iminosilicate-Disorder of two ethyl groups; 5.3.2 Disorder of a Ti(III) compound; 5.3.3 A mixed crystal treated as occupancy disorder; 5.3.4 Disorder of solvent molecules; 5.3.5 Three types of disorder in one structure: cycloikositetraphenylene; 6 Pseudo-Symmetry 6.1 Global pseudo-symmetry6.2 True NCS; 6.3 Examples; 6.3.1 Pn or P2[sub(1)]/n; 6.3.2 [Si(NH[sub(2)])[sub(2)]CH(SiMe[sub(3)])[sub(2)]][sub(2)]: P1 with Z = 12; 7 Twinning; 7.1 Definition of a Twin; 7.2 Classification of twins; 7.2.1 Twinning by merohedry; 7.2.2 Twinning by pseudo-merohedry; 7.2.3 Twinning by reticular merohedry; 7.2.4 Non-merohedral twins; 7.3 Tests for twinning; 7.4 Structure solution; 7.5 Twin refinement; 7.6 Determination of the absolute structure; 7.7 Warning signs of twinning; 7.8 Examples; 7.8.1 Twinning by merohedry; 7.8.2 An example of pseudo-merohedral twinning 7.8.3 First example of twinning by reticular merohedry |
| Record Nr. | UNINA-9910465139203321 |
| Oxford ; ; New York, : Oxford University Press, 2006 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Crystal structure refinement [[electronic resource] ] : a crystallographers guide to SHELXL / / Peter Müller ... [et al.] ; edited by Peter Müller
| Crystal structure refinement [[electronic resource] ] : a crystallographers guide to SHELXL / / Peter Müller ... [et al.] ; edited by Peter Müller |
| Pubbl/distr/stampa | Oxford ; ; New York, : Oxford University Press, 2006 |
| Descrizione fisica | 1 online resource (232 p.) |
| Disciplina | 548/.81 |
| Altri autori (Persone) | MüllerPeter <1970-> |
| Collana | IUCR texts on crystalography |
| Soggetto topico |
Crystals - Structure
Crystals - Refining Crystals - Data processing |
| ISBN |
0-19-152476-X
1-4356-0975-1 1-282-36573-8 9786612365737 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; 1 SHELXL; 1.1 The SHELX program suite; 1.1.1 SHELXTL and other programs; 1.2 SHELXL; 1.2.1 Program organization; 1.2.2 The instruction file name.ins; 1.2.3 The reflection data file name.hkl; 1.2.4 Merging data in SHELXL; 1.2.5 The connectivity table; 2 Crystal structure refinement; 2.1 Least-squares refinement; 2.1.1 Refinement against F or F[sup(2)]-is that a question?; 2.2 Weak data and high-resolution cut-off; 2.3 Residual factors; 2.4 Parameters; 2.5 Constraints; 2.5.1 Site occupancy factors; 2.5.2 Special position constraints; 2.5.3 Rigid group constraints
2.5.4 Floating origin constraints2.5.5 Hydrogen atoms; 2.5.6 Constraints in SHELXL; 2.6 Restraints; 2.6.1 Geometrical restraints; 2.6.2 Restraints on displacement parameters; 2.6.3 Other restraints; 2.7 Free variables in SHELXL; 2.8 Results; 2.8.1 Bond lengths and angles; 2.8.2 Torsion angles; 2.8.3 Atoms on common planes; 2.8.4 Hydrogen bonds; 2.8.5 The RTAB command; 2.8.6 The MORE command; 2.8.7 The .cif file; 2.9 Refinement problems; 3 Hydrogen atoms; 3.1 X--H bond lengths and U[sub(eq)] values of H atoms; 3.2 Hydrogen bound to different atom types; 3.2.1 Hydrogen bound to carbon atoms 3.2.2 Hydrogen bound to nitrogen and oxygen3.2.3 Hydrogen bound to metals; 3.3 Placing hydrogen atoms in SHELXL; 3.3.1 List of most common m and n values in HFIX commands; 3.3.2 Semi-free refinement of acidic hydrogen atoms; 3.4 Hydrogen bonds in SHELXL; 3.5 Examples; 3.5.1 Routine hydrogen atom placement: C[sub(31)]H[sub(54)]MoN[sub(2)]O[sub(2)]; 3.5.2 Hydrogen atoms in a Zr-hydride; 3.5.3 Acidic hydrogen atoms and hydrogen bonds; 4 Atom type assignment; 4.1 All electrons are blue; 4.2 Chemical knowledge; 4.3 Crystallographic knowledge; 4.4 Examples 4.4.1 Tetrameric InCl[sub(3)]-the N or O question4.4.2 A cobalt salt; 4.4.3 Unclear central metal atom; 5 Disorder; 5.1 Types of disorder; 5.1.1 Substitutional disorder; 5.1.2 Positional disorder; 5.1.3 Mess-a special case of disorder; 5.2 Refinement of disorder; 5.2.1 Refinement of disorder with SHELXL; 5.3 Examples; 5.3.1 Gallium-iminosilicate-Disorder of two ethyl groups; 5.3.2 Disorder of a Ti(III) compound; 5.3.3 A mixed crystal treated as occupancy disorder; 5.3.4 Disorder of solvent molecules; 5.3.5 Three types of disorder in one structure: cycloikositetraphenylene; 6 Pseudo-Symmetry 6.1 Global pseudo-symmetry6.2 True NCS; 6.3 Examples; 6.3.1 Pn or P2[sub(1)]/n; 6.3.2 [Si(NH[sub(2)])[sub(2)]CH(SiMe[sub(3)])[sub(2)]][sub(2)]: P1 with Z = 12; 7 Twinning; 7.1 Definition of a Twin; 7.2 Classification of twins; 7.2.1 Twinning by merohedry; 7.2.2 Twinning by pseudo-merohedry; 7.2.3 Twinning by reticular merohedry; 7.2.4 Non-merohedral twins; 7.3 Tests for twinning; 7.4 Structure solution; 7.5 Twin refinement; 7.6 Determination of the absolute structure; 7.7 Warning signs of twinning; 7.8 Examples; 7.8.1 Twinning by merohedry; 7.8.2 An example of pseudo-merohedral twinning 7.8.3 First example of twinning by reticular merohedry |
| Record Nr. | UNINA-9910792246603321 |
| Oxford ; ; New York, : Oxford University Press, 2006 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Crystal structure refinement : a crystallographers guide to SHELXL / / Peter Muller ... [et al.] ; edited by Peter Muller
| Crystal structure refinement : a crystallographers guide to SHELXL / / Peter Muller ... [et al.] ; edited by Peter Muller |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Oxford ; ; New York, : Oxford University Press, 2006 |
| Descrizione fisica | 1 online resource (232 p.) |
| Disciplina | 548/.81 |
| Altri autori (Persone) | MullerPeter <1970-> |
| Collana | IUCR texts on crystalography |
| Soggetto topico |
Crystals - Structure
Crystals - Refining Crystals - Data processing |
| ISBN |
0-19-152476-X
1-4356-0975-1 1-282-36573-8 9786612365737 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; 1 SHELXL; 1.1 The SHELX program suite; 1.1.1 SHELXTL and other programs; 1.2 SHELXL; 1.2.1 Program organization; 1.2.2 The instruction file name.ins; 1.2.3 The reflection data file name.hkl; 1.2.4 Merging data in SHELXL; 1.2.5 The connectivity table; 2 Crystal structure refinement; 2.1 Least-squares refinement; 2.1.1 Refinement against F or F[sup(2)]-is that a question?; 2.2 Weak data and high-resolution cut-off; 2.3 Residual factors; 2.4 Parameters; 2.5 Constraints; 2.5.1 Site occupancy factors; 2.5.2 Special position constraints; 2.5.3 Rigid group constraints
2.5.4 Floating origin constraints2.5.5 Hydrogen atoms; 2.5.6 Constraints in SHELXL; 2.6 Restraints; 2.6.1 Geometrical restraints; 2.6.2 Restraints on displacement parameters; 2.6.3 Other restraints; 2.7 Free variables in SHELXL; 2.8 Results; 2.8.1 Bond lengths and angles; 2.8.2 Torsion angles; 2.8.3 Atoms on common planes; 2.8.4 Hydrogen bonds; 2.8.5 The RTAB command; 2.8.6 The MORE command; 2.8.7 The .cif file; 2.9 Refinement problems; 3 Hydrogen atoms; 3.1 X--H bond lengths and U[sub(eq)] values of H atoms; 3.2 Hydrogen bound to different atom types; 3.2.1 Hydrogen bound to carbon atoms 3.2.2 Hydrogen bound to nitrogen and oxygen3.2.3 Hydrogen bound to metals; 3.3 Placing hydrogen atoms in SHELXL; 3.3.1 List of most common m and n values in HFIX commands; 3.3.2 Semi-free refinement of acidic hydrogen atoms; 3.4 Hydrogen bonds in SHELXL; 3.5 Examples; 3.5.1 Routine hydrogen atom placement: C[sub(31)]H[sub(54)]MoN[sub(2)]O[sub(2)]; 3.5.2 Hydrogen atoms in a Zr-hydride; 3.5.3 Acidic hydrogen atoms and hydrogen bonds; 4 Atom type assignment; 4.1 All electrons are blue; 4.2 Chemical knowledge; 4.3 Crystallographic knowledge; 4.4 Examples 4.4.1 Tetrameric InCl[sub(3)]-the N or O question4.4.2 A cobalt salt; 4.4.3 Unclear central metal atom; 5 Disorder; 5.1 Types of disorder; 5.1.1 Substitutional disorder; 5.1.2 Positional disorder; 5.1.3 Mess-a special case of disorder; 5.2 Refinement of disorder; 5.2.1 Refinement of disorder with SHELXL; 5.3 Examples; 5.3.1 Gallium-iminosilicate-Disorder of two ethyl groups; 5.3.2 Disorder of a Ti(III) compound; 5.3.3 A mixed crystal treated as occupancy disorder; 5.3.4 Disorder of solvent molecules; 5.3.5 Three types of disorder in one structure: cycloikositetraphenylene; 6 Pseudo-Symmetry 6.1 Global pseudo-symmetry6.2 True NCS; 6.3 Examples; 6.3.1 Pn or P2[sub(1)]/n; 6.3.2 [Si(NH[sub(2)])[sub(2)]CH(SiMe[sub(3)])[sub(2)]][sub(2)]: P1 with Z = 12; 7 Twinning; 7.1 Definition of a Twin; 7.2 Classification of twins; 7.2.1 Twinning by merohedry; 7.2.2 Twinning by pseudo-merohedry; 7.2.3 Twinning by reticular merohedry; 7.2.4 Non-merohedral twins; 7.3 Tests for twinning; 7.4 Structure solution; 7.5 Twin refinement; 7.6 Determination of the absolute structure; 7.7 Warning signs of twinning; 7.8 Examples; 7.8.1 Twinning by merohedry; 7.8.2 An example of pseudo-merohedral twinning 7.8.3 First example of twinning by reticular merohedry |
| Record Nr. | UNINA-9910966193103321 |
| Oxford ; ; New York, : Oxford University Press, 2006 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Crystals, defects and microstructures : modeling across scales / / Rob Phillips [[electronic resource]]
| Crystals, defects and microstructures : modeling across scales / / Rob Phillips [[electronic resource]] |
| Autore | Phillips Rob (Robert Brooks), <1960-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2001 |
| Descrizione fisica | 1 online resource (xxvi, 780 pages) : digital, PDF file(s) |
| Disciplina | 548/.81 |
| Soggetto topico |
Crystals
Crystals - Defects Crystal lattices |
| ISBN |
1-107-12113-2
0-511-04108-X 1-280-43271-3 9786610432714 0-511-17624-4 0-511-15700-2 0-511-32948-2 0-511-60623-0 0-511-04653-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; Acknowledgements; Notes on Units, Scales and Conventions; ONE Idealizing Material Response; TWO Continuum Mechanics Revisited; THREE Quantum and Statistical Mechanics Revisited; FOUR Energetic Description of Cohesion in Solids; FIVE Thermal and Elastic Properties of Crystals; SIX Structural Energies and Phase Diagrams; SEVEN Point Defects in Solids; EIGHT Line Defects in Solids; NINE Wall Defects in Solids; TEN Microstructure and its Evolution; ELEVEN Points, Lines and Walls: Defect Interactions and Material Response
TWELVE Bridging Scales: Effective Theory ConstructionTHIRTEEN Universality and Specificity in Materials; References; Index |
| Altri titoli varianti | Crystals, Defects & Microstructures |
| Record Nr. | UNINA-9910449765203321 |
Phillips Rob (Robert Brooks), <1960->
|
||
| Cambridge : , : Cambridge University Press, , 2001 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Crystals, defects and microstructures : modeling across scales / / Rob Phillips [[electronic resource]]
| Crystals, defects and microstructures : modeling across scales / / Rob Phillips [[electronic resource]] |
| Autore | Phillips Rob (Robert Brooks), <1960-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2001 |
| Descrizione fisica | 1 online resource (xxvi, 780 pages) : digital, PDF file(s) |
| Disciplina | 548/.81 |
| Soggetto topico |
Crystals
Crystals - Defects Crystal lattices |
| ISBN |
1-107-12113-2
0-511-04108-X 1-280-43271-3 9786610432714 0-511-17624-4 0-511-15700-2 0-511-32948-2 0-511-60623-0 0-511-04653-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; Acknowledgements; Notes on Units, Scales and Conventions; ONE Idealizing Material Response; TWO Continuum Mechanics Revisited; THREE Quantum and Statistical Mechanics Revisited; FOUR Energetic Description of Cohesion in Solids; FIVE Thermal and Elastic Properties of Crystals; SIX Structural Energies and Phase Diagrams; SEVEN Point Defects in Solids; EIGHT Line Defects in Solids; NINE Wall Defects in Solids; TEN Microstructure and its Evolution; ELEVEN Points, Lines and Walls: Defect Interactions and Material Response
TWELVE Bridging Scales: Effective Theory ConstructionTHIRTEEN Universality and Specificity in Materials; References; Index |
| Altri titoli varianti | Crystals, Defects & Microstructures |
| Record Nr. | UNINA-9910777341203321 |
Phillips Rob (Robert Brooks), <1960->
|
||
| Cambridge : , : Cambridge University Press, , 2001 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometry of crystallographic groups [[electronic resource] /] / Andrzej Szczepański
| Geometry of crystallographic groups [[electronic resource] /] / Andrzej Szczepański |
| Autore | Szczepański Andrzej |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, 2012 |
| Descrizione fisica | 1 online resource (208 p.) |
| Disciplina | 548/.81 |
| Collana | Algebra and discrete mathematics |
| Soggetto topico |
Symmetry groups
Crystallography, Mathematical |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-63598-4
981-4412-26-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. Definitions; 1.1 Exercises; 2. Bieberbach Theorems; 2.1 The first Bieberbach Theorem; 2.2 Proof of the second Bieberbach Theorem; 2.2.1 Cohomology group language; 2.3 Proof of the third Bieberbach Theorem; 2.4 Exercises; 3. Classification Methods; 3.1 Three methods of classification; 3.1.1 The methods of Calabi and Auslander-Vasquez; 3.2 Classification in dimension two; 3.3 Platycosms; 3.4 Exercises; 4. Flat Manifolds with b1 = 0; 4.1 Examples of (non)primitive groups; 4.2 Minimal dimension; 4.3 Exercises; 5. Outer Automorphism Groups
5.1 Some representation theory and 9-diagrams5.2 Infinity of outer automorphism group; 5.3 R1 - groups; 5.4 Exercises; 6. Spin Structures and Dirac Operator; 6.1 Spin(n) group; 6.2 Vector bundles; 6.3 Spin structure; 6.3.1 Case of cyclic holonomy; 6.4 The Dirac operator; 6.5 Exercises; 7. Flat Manifolds with Complex Structures; 7.1 Kahler flat manifolds in low dimensions; 7.2 The Hodge diamond for Kahler flat manifolds; 7.3 Exercises; 8. Crystallographic Groups as Isometries of Hn; 8.1 Hyperbolic space Hn; 8.2 Exercises; 9. Hantzsche-Wendt Groups; 9.1 Definitions; 9.2 Non-oriented GHW groups 9.3 Graph connecting GHW manifolds9.4 Abelianization of HW group; 9.5 Relation with Fibonacci groups; 9.6 An invariant of GHW; 9.7 Complex Hantzsche-Wendt manifolds; 9.8 Exercises; 10. Open Problems; 10.1 The classification problems; 10.2 The Anosov relation for flat manifolds; 10.3 Generalized Hantzsche-Wendt flat manifolds; 10.4 Flat manifolds and other geometries; 10.5 The Auslander conjecture; Appendix A Alternative Proof of Bieberbach Theorem; Appendix B Burnside Transfer Theorem; Appendix C Example of a Flat Manifold without Symmetry; Bibliography; Index |
| Record Nr. | UNINA-9910461795303321 |
Szczepański Andrzej
|
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| Hackensack, NJ, : World Scientific, 2012 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometry of crystallographic groups [[electronic resource] /] / Andrzej Szczepański
| Geometry of crystallographic groups [[electronic resource] /] / Andrzej Szczepański |
| Autore | Szczepański Andrzej |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, 2012 |
| Descrizione fisica | 1 online resource (208 p.) |
| Disciplina | 548/.81 |
| Collana | Algebra and discrete mathematics |
| Soggetto topico |
Symmetry groups
Crystallography, Mathematical |
| ISBN |
1-283-63598-4
981-4412-26-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. Definitions; 1.1 Exercises; 2. Bieberbach Theorems; 2.1 The first Bieberbach Theorem; 2.2 Proof of the second Bieberbach Theorem; 2.2.1 Cohomology group language; 2.3 Proof of the third Bieberbach Theorem; 2.4 Exercises; 3. Classification Methods; 3.1 Three methods of classification; 3.1.1 The methods of Calabi and Auslander-Vasquez; 3.2 Classification in dimension two; 3.3 Platycosms; 3.4 Exercises; 4. Flat Manifolds with b1 = 0; 4.1 Examples of (non)primitive groups; 4.2 Minimal dimension; 4.3 Exercises; 5. Outer Automorphism Groups
5.1 Some representation theory and 9-diagrams5.2 Infinity of outer automorphism group; 5.3 R1 - groups; 5.4 Exercises; 6. Spin Structures and Dirac Operator; 6.1 Spin(n) group; 6.2 Vector bundles; 6.3 Spin structure; 6.3.1 Case of cyclic holonomy; 6.4 The Dirac operator; 6.5 Exercises; 7. Flat Manifolds with Complex Structures; 7.1 Kahler flat manifolds in low dimensions; 7.2 The Hodge diamond for Kahler flat manifolds; 7.3 Exercises; 8. Crystallographic Groups as Isometries of Hn; 8.1 Hyperbolic space Hn; 8.2 Exercises; 9. Hantzsche-Wendt Groups; 9.1 Definitions; 9.2 Non-oriented GHW groups 9.3 Graph connecting GHW manifolds9.4 Abelianization of HW group; 9.5 Relation with Fibonacci groups; 9.6 An invariant of GHW; 9.7 Complex Hantzsche-Wendt manifolds; 9.8 Exercises; 10. Open Problems; 10.1 The classification problems; 10.2 The Anosov relation for flat manifolds; 10.3 Generalized Hantzsche-Wendt flat manifolds; 10.4 Flat manifolds and other geometries; 10.5 The Auslander conjecture; Appendix A Alternative Proof of Bieberbach Theorem; Appendix B Burnside Transfer Theorem; Appendix C Example of a Flat Manifold without Symmetry; Bibliography; Index |
| Record Nr. | UNINA-9910785918503321 |
Szczepański Andrzej
|
||
| Hackensack, NJ, : World Scientific, 2012 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||