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BK

New Delhi : Cengage Learning, [1976]

xxi, 826 stran : ilustrace ; 23 cm

ISBN 81-315-0052-7 (brožováno) ISBN !978-81-315-0052-1 (chyb.)

"Eighteen Indian reprint 2017"--Rub titulní strany

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001463272

Contents // Preface vii // Important Tables xiv // Suggestions for Using the Book xviii // 1. The Drude Theory of Metals 1 // 2. The Sommerfeld Theory of Metals 29 // 3. Failures of the Free Electron Model 57 // 4. Crystal Lattices 63 // 5. The Reciprocal Lattice 85 // 6. Determination of Crystal Structures by X-Ray // Diffraction 95 // 7. Classification of Bravais Lattices and Crystal // Structures 111 // 8. Electron Levels in a Periodic Potential: // General Properties 131 // 9. Electrons in a Weak Periodic Potential 151 // 10. The Tight-Binding Method 175 // 11. Other Methods for Calculating Band // Structure 191 // 12. The Semiclassical Model of Electron // Dynamics 213 // 13. The Semiclassical Theory of Conduction in Metals 243 // 14. Measuring the Fermi Surface 263 // 15. Band Structure of Selected Metals 283 // 16. Beyond the Relaxation-Time // Approximation 313 // 17. Beyond the Independent Electron // Approximation 329 // 18. Surface Effects 353 // xii ? ontcsís // 19. Classification of Solids 373 // 20. Cohesive Energy 395 // 21. Failures of the Static Lattice Model 415 // 22. Classical Theory of the Harmonic // Crystal 421 // 23. Quantum Theory of the Harmonic // Crystal 451 // 24. Measuring Phonon Dispersion Relations 469 // 25. Anharmonic Effects in Crystals 487 // 26. Phonons in Metals 511 // 27. Dielectric Properties of Insulators 533 // 28. Homogeneous Semiconductors 561 // 29. Inhomogeneous Semiconductors 589 // 30. Defects in Crystals 615 // 31. Diamagnetism

and Paramagnetism 643 // 32. Electron Interactions and Magnetic Structure 671 // 33. Magnetic Ordering 693 // 34. Superconductivity 725 // APPENDICES // A. Summary of Important Numerical Relations in the Free Electron Theory of Metals 757 // B. The Chemical Potential 759 // C. The Sommerfeld Expansion 760 // D. Plane-Wave Expansions of Periodic Functions // in More Than One Dimension 762 // E. The Velocity and Effective Mass of Bloch // Electrons 765 // F. Some Identities Related to Fourier Analysis of Periodic Systems 767 // G. The Variational Principle for Schrödingers // Equation 769 // Contents xiii // H. Hamiltonian Formulation of the // Semiclassical Equations of Motion, and Liouville’s Theorem 771 // I. Green’s Theorem for Periodic // Functions 772 // J. Conditions for the Absence of Inter band Transitions in Uniform Electric or Magnetic Fields 772 // K. Optical Properties of Solids 776 // L. Quantum Theory of the Harmonic // Crystal 780 // M. Conservation of Crystal Momentum 784 // N. Theory of the Scattering of Neutrons by a // Crystal 790 // O. Anharmonic Terms and n-Phonon // Processes 796 // P. Evaluation of the Lande g-Factor 797 // INDEX 799 // Important Tables // The more important tables of data1 or theoretical results are listedb T To aid the reader in hunting down a particular table we have grouped them ě several broad categories. Theoretical results are listed only under that heading // data on magnetic and superconducting metals are listed under magnetism

and su // conductivity, rather than under metals. Accurate values of the fundamental co are given in the end paper and on page 757. // Per. nstantj // Theoretical Results // The noncubic crystallographic point groups 122 // The cubic crystallographic point groups 121 // Comparison of properties of Sommerfeld and Bloch electrons 214 // Comparison of the general treatment of collisions with the relaxation-time approximation 318 // Lattice sums of inverse nth powers for the cubic Bravais lattices 400 // Madelung constants for some cubic crystal structures 405 // Numbers of independent elastic constants for the seven crystal systems 445 // Values of the Debye specific heat 461 // Comparison of phonons and photons 466 // Comparison of a gas of molecules and a gas of phonons 506 // Characteristic lengths in a p-n junction 607 // Ground states of ions with partially filled d- or /-shells 652 // Comparison of exact and mean field critical temperatures for several Ising models 717 // Major numerical formulas of free electron theory 757 // 1 The data in the tables are presented with the aim of giving the reader an appreciation for orders of magnitude and relative sizes. We have therefore been content to quote numbers to one or two significant places and have not made special efforts to give the most precise values. Readers requiring data for fundamental research should consult the appropriate sources. // Important Tables // Crystal Structure // The face-centered cubic elements 70 // The

body-centered cubic elements 70 // The trigonal (rhombohedral) elements 127 // The tetragonal elements 127 // The hexagonal close-packed elements 77 // Elements with the diamond structure 76 // Some compounds with the sodium chloride structure // Some compounds with the cesium chloride structure // Some compounds with the zincblende structure 81 // 80 // 81 // Metals // Free electron densities and rja0 5 // Electrical resistivities 8 // Some typical relaxation times 10 // Thermal conductivities 21 // Fermi energies, temperatures, wave vectors, and velocities 38 // Bulk moduli 39 // Low temperature specific heats 48 // Work functions 364 Elastic constants 447 Debye temperatures 461 // Linear expansion coefficients 496 // Insulators and Semiconductors // Alkali halide ionic radii 384 // ionic radii of II-VI compounds 386 // Lattice constants of some III-V compounds 389 // xvi Important TabL’s // Radii of metallic ions compared with nearest-neighbor distances in the metal 391 // Cohesive energies of the alkali halides 406 // Bulk moduli of the alkali halides 408 // Debye temperatures of some alkali halides 459 // Grüneisen parameters and linear expansion coefficients for some alkali halides 494 // Atomic polarizabilities of the noble gas atoms and the alkali halide ions 544 // Static and optical dielectric constants and transverse optical phonon frequencies of the alkali halides ’ // Lennard-Jones parameters for the noble gases 398 // Lattice constants, cohesive energies, and

bulk moduli of the solid noble gases 401 // De Boer parameters for the noble gases 412 // Elastic constants 447 // Debye temperatures 459, 461 // Static dielectric constants for covalent and covalent-ionic crystals 553 // Ferroelectric crystals 557 // Energy gaps of semiconductors 566 // Impurity levels in silicon and germanium 580 // Magnetism // Molar susceptibilities of the noble gas atoms and alkali halide ions 649 // Effective Bohr magneton numbers for the rare earth ions 657 // Effective Bohr magneton numbers for the iron group ions 658 // Pauli susceptibilities of the alkali metals 664 // Some dilute alloys with (and without) local moments // Critical temperatures and saturation magnetizations of ferromagnets 697 // Critical temperatures // and saturation magnetizations 698 // of antiferromagnets 697 // Superconductivity // The superconducting elements 726 // Critical temperatures and critical fields of the superconducting elements 729 // Energy gaps of selected superconducting elements 745 // Specific heat discontinuities of selected superconducting elements 747