{"product_id":"topics-in-the-theory-of-solid-materials-9780750307291","title":"Topics in the Theory of Solid Materials","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eTopics in the Theory of Solid Materials provides a clear and rigorous introduction to a wide selection of topics in solid materials, overlapping traditional courses in both condensed matter physics and materials science and engineering. It introduces both the continuum properties of matter, traditionally the realm of materials science courses, and the quantum mechanical properties that are usually more emphasized in solid state physics courses, and integrates them in a manner that will be of use to students of either subject. The book spans a range of basic and more advanced topics, including stress and strain, wave propagation, thermal properties, surface waves, polarons, phonons, point defects, magnetism, and charge density waves. \u003cbr\u003e\u003cbr\u003eTopics in the Theory of Solid Materials is eminently suitable for graduates and final-year undergraduates in physics, materials science, and engineering, as well as more advanced researchers in academia and industry studying solid materials.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\"What are dislocations? What are phonons? What is phonon transport? This text describes all that and more in lucid language. If you're into materials and would like to relearn the undergraduate condensed matter physics that you wished you knew, this is the book to read.\" \u003cbr\u003e-Biswajit Banerjee, University of Utah, Salt Lake City, USA\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface. \u003c\/p\u003e \u003cp\u003e1 Strain and stress in continuous media \u003cbr\u003e1.1 Introduction \u003cbr\u003e1.2 Deformation: strain and rotation \u003cbr\u003e 1.2.1 The strain tensor \u003cbr\u003e 1.2.2 The rotation tensor \u003cbr\u003e1.3 Forces and stress \u003cbr\u003e1.4 Linear elasticity \u003cbr\u003e 1.4.1 Hooke’s law \u003cbr\u003e 1.4.2 Isotropic media \u003cbr\u003e 1.4.3 Elastic moduli \u003cbr\u003e 1.4.4 Stability conditions \u003cbr\u003e1.5 Equilibrium\u003c\/p\u003e \u003cp\u003e2 \u003cbr\u003eWave propagation in continuous media \u003cbr\u003e 2.1 Introduction \u003cbr\u003e 2.2 Vector ?elds \u003cbr\u003e 2.3 Equation of motion \u003cbr\u003e 2.4 Wave propagation \u003cbr\u003e 2.4.1 Shear and rotational waves \u003cbr\u003e 2.4.2 Dilatational or irrotational waves \u003cbr\u003e 2.4.3 General discussion \u003cbr\u003e Appendix to Chapter 2 \u003cbr\u003e3 Thermal properties of continuous media \u003cbr\u003e 3.1 Introduction \u003cbr\u003e 3.2 Classical thermodynamics \u003cbr\u003e 3.2.1 The Maxwell relations \u003cbr\u003e 3.2.2 Elastic constants, bulk moduli and speci?c heats \u003cbr\u003e 3.3 Thermal conduction and wave motion \u003cbr\u003e 3.4 Wave attenuation by thermal conduction\u003c\/p\u003e \u003cp\u003e \u003cbr\u003e4 Surface waves \u003cbr\u003e4.1 Introduction \u003cbr\u003e4.2 Rayleigh waves \u003cbr\u003e4.3 Boundary conditions \u003cbr\u003e4.4 Dispersion relation \u003cbr\u003e4.5 Character of the wave motion \u003cbr\u003e5 Dislocations \u003cbr\u003e5.1 Introduction \u003cbr\u003e5.2 Description of dislocations \u003cbr\u003e5.3 Deformation ?elds of dislocations \u003cbr\u003e5.3.1 Screw dislocation \u003cbr\u003e5.3.2 Edge dislocation \u003cbr\u003e5.4 Uniform dislocation motion \u003cbr\u003e5.5 Further study of dislocations \u003cbr\u003e6 Classical theory of the polaron \u003cbr\u003e6.1 Introduction \u003cbr\u003e6.2 Equations of motion \u003cbr\u003e6.3 The constant-velocity polaron \u003cbr\u003e6.4 Polaron in a magnetic ?eld: quantization \u003cbr\u003e7 Atomistic quantum theory of solids \u003cbr\u003e7.1 Introduction \u003cbr\u003e7.2 The hamiltonian of a solid \u003cbr\u003e7.3 Nuclear dynamics: the adiabatic approximation \u003cbr\u003e7.4 The harmonic approximation \u003cbr\u003e7.5 Phonons \u003cbr\u003e7.5.1 Periodic boundary conditions for bulk properties \u003cbr\u003e7.5.2 The dynamical matrix of the crystal \u003cbr\u003e7.5.3 The normal modes of crystal vibration \u003cbr\u003e7.5.4 Electrons and phonons: total energy \u003cbr\u003e7.6 Statistical thermodynamics of a solid \u003cbr\u003e7.6.1 Partition function of the crystal \u003cbr\u003e7.6.2 Equation of state of the crystal \u003cbr\u003e7.6.3 Thermodynamic internal energy of the crystal; \u003cbr\u003ephonons as bosons \u003cbr\u003e7.7 Summary \u003cbr\u003e8 Phonons \u003cbr\u003e8.1 Introduction \u003cbr\u003e8.2 Monatomic linear chain \u003cbr\u003e8.3 Diatomic linear chain \u003cbr\u003e8.4 Localized mode of a point defect \u003cbr\u003e \u003cbr\u003e9 Classical atomistic modelling of crystals \u003cbr\u003e9.1 Introduction \u003cbr\u003e9.2 The shell model for insulating crystals \u003cbr\u003e9.3 Cohesive energy of a crystal \u003cbr\u003e9.4 Elastic constants \u003cbr\u003e9.5 Dielectric and piezoelectric constants \u003cbr\u003e10 Classical atomic di?usion in solids \u003cbr\u003e10.1 Introduction \u003cbr\u003e10.2 The di?usion equation \u003cbr\u003e10.2.1 Derivation \u003cbr\u003e10.2.2 Planar source problem \u003cbr\u003e10.3 Di?usion as a random walk \u003cbr\u003e10.4 Equilibrium concentration of point defects \u003cbr\u003e10.5 Temperature dependence of di?usion: the Vineyard relation \u003cbr\u003eAppendix to Chapter 10: Stirling’s formula \u003cbr\u003e11 Point defects in crystals \u003cbr\u003e11.1 Introduction \u003cbr\u003e11.1.1 Crystals and defects \u003cbr\u003e11.1.2 Modelling of point defects in ionic crystals \u003cbr\u003e11.2 Classical di?usion \u003cbr\u003e11.2.1 Copper and silver di?usion in alkali halides \u003cbr\u003e11.2.2 Dissociation of the oxygen-vacancy defect complex \u003cbr\u003ein BaF2 \u003cbr\u003e11.3 Defect complex stability \u003cbr\u003e11.4 Impurity charge-state stability \u003cbr\u003e11.4.1 Nickel in MgO \u003cbr\u003e11.4.2 Oxygen in BaF2 \u003cbr\u003e11.5 Optical excitation \u003cbr\u003e11.5.1 Frenkel exciton and impurity absorption in MgO \u003cbr\u003e11.5.2 Cuþ in NaF \u003cbr\u003e11.5.3 O- in BaF2 \u003cbr\u003e11.6 Spin densities \u003cbr\u003e11.6.1 F center in NaF \u003cbr\u003e11.6.2 F2þ center in NaF \u003cbr\u003e11.6.3 F2þ * center in NaF \u003cbr\u003e11.7 Local band-edge modi?cation \u003cbr\u003e11.7.1 Valence band edge in NiO : Li \u003cbr\u003e11.7.2 Conduction band edge in BaF2 : O- \u003cbr\u003e11.8 Electronic localization \u003cbr\u003e11.9 Quantum di?usion \u003cbr\u003e11.10 E?ective force constants for local modes \u003cbr\u003e \u003cbr\u003e11.11 Summary \u003cbr\u003eAppendix to Chapter 11: the ICECAP method \u003cbr\u003e12 Theoretical foundations of molecular cluster computations \u003cbr\u003e12.1 Introduction \u003cbr\u003e12.2 Hartree–Fock approximation \u003cbr\u003e12.2.1 The approximation \u003cbr\u003e12.2.2 Normalization \u003cbr\u003e12.2.3 Total energy \u003cbr\u003e12.2.4 Charge density and exchange charge \u003cbr\u003e12.2.5 The single-particle density functional \u003cbr\u003e12.3 The Fock equation \u003cbr\u003e12.3.1 The variational derivation \u003cbr\u003e12.3.2 Total energy algorithm \u003cbr\u003e12.3.3 Solution of the Fock equation \u003cbr\u003e12.4 Localizing potentials \u003cbr\u003e12.5 Embedding in a crystal \u003cbr\u003e12.5.1 Introduction \u003cbr\u003e12.5.2 Approximate partitioning with a localizing potential \u003cbr\u003e12.5.3 Summary \u003cbr\u003e12.6 Correlation \u003cbr\u003e12.7 One-, two- and N-particle density functionals \u003cbr\u003e12.7.1 Introduction \u003cbr\u003e12.7.2 Density functional of Hohenberg and Kohn \u003cbr\u003e12.7.3 Reduced density matrices \u003cbr\u003e12.7.4 The many-fermion system \u003cbr\u003e12.7.5 The density functional and the two-particle density operator \u003cbr\u003e13 Paramagnetism and diamagnetism in the electron gas \u003cbr\u003e13.1 Introduction \u003cbr\u003e13.2 Paramagnetism of the electron gas \u003cbr\u003e13.2.1 The total energy \u003cbr\u003e13.2.2 The magnetic susceptibility \u003cbr\u003e13.2.3 Solution at low temperature \u003cbr\u003e13.2.4 Solution at high temperature \u003cbr\u003e13.3 Diamagnetism of the electron gas \u003cbr\u003e13.3.1 Introduction \u003cbr\u003e13.3.2 The Landau levels \u003cbr\u003e13.3.3 The Fermi distribution \u003cbr\u003e13.3.4 Energy considerations \u003cbr\u003e13.3.5 Magnetization: the de Haas–van Alphen e?ect \u003cbr\u003e13.3.6 Diamagnetism at T 0 \u003cbr\u003eAppendix to Chapter 13 \u003cbr\u003e \u003cbr\u003e14 Charge density waves in solids \u003cbr\u003e14.1 Introduction \u003cbr\u003e14.2 E?ective electron–electron interaction \u003cbr\u003e14.3 The Hartree equation: uniform and periodic cases \u003cbr\u003e14.3.1 The Hartree approximation \u003cbr\u003e14.3.2 The uniform solution \u003cbr\u003e14.3.3 The periodic solution \u003cbr\u003e14.4 Charge density waves: the Mathieu equation \u003cbr\u003e14.4.1 The Mathieu equation \u003cbr\u003e14.4.2 Solution away from the band gap \u003cbr\u003e14.4.3 Solution near the band gap \u003cbr\u003e14.4.4 The self-consistency condition \u003cbr\u003e14.4.5 The total energy \u003cbr\u003e14.5 Discussion \u003c\/p\u003e \u003cp\u003eReferences \u003cbr\u003eExercises \u003cbr\u003eAnswers \u003cbr\u003eAuthor index \u003cbr\u003eSubject index\u003c\/p\u003e","brand":"Taylor \u0026 Francis Ltd","offers":[{"title":"Default Title","offer_id":49404548677975,"sku":"9780750307291","price":66.49,"currency_code":"GBP","in_stock":false}],"url":"https:\/\/bookcurl.com\/products\/topics-in-the-theory-of-solid-materials-9780750307291","provider":"Book Curl","version":"1.0","type":"link"}