Structure and Dynamics An Atomic View of Materials

Name: Structure and Dynamics An Atomic View of Materials
Price: 44.11 USD
Availability: InStock
ISBN: 9780198506782

ISBN-10: 0198506783

ISBN-13: 9780198506782

Edition: 2002

Authors: Martin T. Dove

List price: $58.00

30 day, 100% satisfaction guarantee!

Sell

Get cash fast!

Marketplace

2 new & used from $44.11

what's this?

Rush Rewards U
Members Receive:

You have reached 400 XP and carrot coins. That is the daily max!

This book is concerned with a wide range of general principles that govern the behaviour of atoms in solids, and these principles are applied to the full range of types of materials known to man. The dual focus is on the structures of materials at an atomic level and on how the atoms vibrate inside solids. This dual focus comes together to explore how the atomic principles determine the behaviour and properties of materials. Attention is also given to experimental methods. The general principles include the factors that determine the packing of atoms to form the huge variety of structures, the formal description of real and reciprocal space, the types of atomic bonding, the formalism of…

Book details

List price: $58.00
Copyright year: 2002
Publisher: Oxford University Press, Incorporated
Publication date: 5/15/2003
Binding: Paperback
Pages: 360
Size: 7.44" wide x 9.69" long x 0.78" tall
Weight: 1.782
Language: English



Symbols



Introduction



Observations



Length scales and time scales



Tools of the trade


Summary of chapter


Further reading for Chapter 1



Structure of materials



Introduction



Crystal structures of the elements



Crystal structures of some simple inorganic compounds



The perovskite family of crystal structures



Organic crystals



Disordered materials



Glasses and amorphous phases



Conclusions


Summary of chapter


Further reading


Exercises



Formal description of crystal structures



Introduction



Crystal structure: lattices, unit cell, and atomic coordinates



Crystal symmetry 1. Point-symmetry operations



Application of the formalism of point groups



Crystal symmetry 2. Translational symmetry and space groups



Breaking the rules: aperiodic structures, incommensurate materials, and quasicrystals


Summary of chapter


Further reading


Exercises



The reciprocal lattice



The concept of the reciprocal lattice



Definitions



Non-primitive lattices



The reciprocal lattice as the Fourier transform of the crystal lattice



Reciprocal space and the Brillouin zone


Summary of chapter


Further reading


Exercises



Atomic bonding in crystals



Bonding and the variety of crystal structures



Thermodynamic preamble: the context of the binding energy



Lattice energy



Models of bonding



Quantum mechanical view of chemical bonding


Summary of chapter


Further reading


Exercises



Diffraction



Basics of diffraction



Beams of radiation and measurement of diffraction patterns



Basics of the theory of diffraction



Scattering of radiation from a continuous distribution of particles



Diffraction and Fourier analysis



Application: the structure of glasses revealed by neutron scattering



Diffraction from crystalline materials



Effects of symmetry on diffraction patterns



Solution of the phase problem and determination of crystal structure


Summary of chapter


Further reading


Exercises



Physical properties



Overview



First-rank tensors



Second-rank tensors



Third-rank tensors



Fourth-rank tensors



Induced changes in matter tensors


Summary of chapter


Further reading


Exercises



Lattice dynamics



Why do we need to consider dynamics?



The harmonic approximation



Lattice vibrations of one-dimensional monatomic crystals



Dispersion curves in face-centred cubic materials



Lattice vibrations of crystals with several atoms in the unit cell


Summary of chapter


Further reading


Exercises



Thermodynamics and lattice dynamics



The quantization of lattice vibrations



Thermodynamic functions for crystals



Atomic displacements


Summary of chapter


Further reading


Exercises



Experimental methods for measurements of vibrational frequencies



Introduction



Basic ideas of spectroscopy



Neutron scattering techniques



Inelastic X-ray scattering



Light scattering



Infrared absorption spectroscopy


Summary of chapter


Further reading


Exercises



Anharmonic interactions



Introduction



Thermal conductivity



Thermal expansion



Temperature dependence of phonon frequencies


Summary of chapter


Further reading


Exercises



Displacive phase transitions



Introduction to displacive phase transitions



Quantitative description of displacive phase transitions: the concept of the order parameter



Landau theory of displacive phase transitions



Soft mode theory of displacive phase transitions



Lattice dynamical theory of the low-temperature phase


Summary of chapter


Further reading


Exercises



Real crystals!



Reality against ideality



Point defects



Large-scale imperfections


Summary of appendix


Further reading



Fourier analysis



Fourier transforms as the extension of Fourier series



One-dimensional Fourier transform



Some one-dimensional Fourier transforms



Convolution theorem


Summary of appendix


Further reading



Schoenflies representation of the point groups



The Schoenflies and International systems



Schoenflies labelling of non-cubic point groups



Schoenflies labelling of the cubic point groups


Summary of appendix


Further reading



Rhombohedral, trigonal, and hexagonal unit cells


Summary of appendix


Further reading



Space groups



Space group symbols



Defining symmetry



General and special positions



The International Tables of Crystallography



Relating general equivalent positions to actual atomic positions


Summary of appendix


Further reading



Lattice energy minimization


Summary of appendix



Some notes on the variational theorem


Summary of appendix


Further reading



Ewald sphere


Summary of appendix


Further reading



The Wilson plot


Summary of appendix


Further reading



Diffraction from isotropic materials



Basic diffraction equations



Isotropic orientational averages



Pair distribution functions



Reverse Fourier transform



General approach to analysis of diffraction data


Summary of appendix


Further reading



Calculation of physical properties



Expansion of the crystal energy



Equilibrium condition and the elastic constant tensor



Piezoelectric and dielectric tensors


Summary of appendix


Further reading



Partition function: some key results



The definition and use of the partition function



The free energy



Some results


Summary of appendix


Further reading



Lattice sums


Summary of appendix


Further reading



Mean-square atomic displacement and temperature factors


Summary of appendix


Further reading


Solutions to exercises


References


Index