Availability: Atomic and electronic structure of solids

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Bibliographic Details
Main Author:	Kaxiras, Efthimios (Author)
Format:	Book
Language:	English
Published:	Cambridge [u.a.] Cambridge Univ. Press 2003
Edition:	1. publ.
Subjects:	Estrutura atômica (física moderna) Física do estado sólido Physique de l'état solide Solides Structure atomique Atomic structure Solid-state physics Solids Festkörpertheorie
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010268728&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	XX, 676 S. graph. Darst.
ISBN:	0521810108 0521523397

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adam_text	ATOMIC AND ELECTRONIC STRUCTURE OF SOLIDS EFTHIMIOS KAXIRAS CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE ACKNOWLEDGMENTS I CRYSTALLINE SOLIDS 1 ATOMIC STRUCTURE OF CRYSTALS 1.1 BUILDING CRYSTALS FROM ATOMS 1.1.1 ATOMS WITH NO VALENCE ELECTRONS .2 ATOMS WITH S VALENCE ELECTRONS .3 ATOMS WITH S AND P VALENCE ELECTRONS .4 ATOMS WITH S AND D VALENCE ELECTRONS .5 ATOMS WITH S, D AND / VALENCE ELECTRONS .6 SOLIDS WITH TWO TYPES OF ATOMS .7 HYDROGEN: A SPECIAL ONE-S-VALENCE-ELECTRON ATOM .1.8 SOLIDS WITH MANY TYPES OF ATOMS 1.2 BONDING IN SOLIDS FURTHER READING PROBLEMS PAGE XV XIX 1 4 5 7 13 15 24 24 25 27 29 32 36 37 THE SINGLE-PARTICLE APPROXIMATION 2.1 THE HAMILTONIAN OF THE SOLID 2.2 THE HARTREE AND HARTREE-FOCK APPROXIMATIONS 2.2.1 THE HARTREE APPROXIMATION 2.2.2 EXAMPLE OF A VARIATIONAL CALCULATION 2.2.3 THE HARTREE-FOCK APPROXIMATION 2.3 HARTREE-FOCK THEORY OF FREE ELECTRONS 2.4 THE HYDROGEN MOLECULE 2.5 DENSITY FUNCTIONAL THEORY 42 42 44 44 46 47 49 54 58 VLL R VIII CONTENTS 2.6 ELECTRONS AS QUASIPARTICLES 65 2.6.1 QUASIPARTICLES AND COLLECTIVE EXCITATIONS 68 2.6.2 THOMAS-FERMI SCREENING 69 2.7 THE IONIC POTENTIAL 72 FURTHER READING 78 PROBLEMS 78 3 ELECTRONS IN CRYSTAL POTENTIAL 82 3.1 PERIODICITY - BLOCH STATES 82 3.2 K-SPACE - BRILLOUIN ZONES 87 3.3 DYNAMICS OF CRYSTAL ELECTRONS 94 3.4 CRYSTAL ELECTRONS IN AN ELECTRIC FIELD 97 3.5 CRYSTAL SYMMETRIES BEYOND PERIODICITY 101 3.6 GROUPS AND SYMMETRY OPERATORS 104 3.7 SYMMETRIES OF THE BAND STRUCTURE 105 3.8 SYMMETRIES OF 3D CRYSTALS 111 3.9 SPECIAL K-POINTS 117 FURTHER READING 119 PROBLEMS 120 4 BAND STRUCTURE OF CRYSTALS 121 4.1 THE TIGHT-BINDING APPROXIMATION 121 4.1.1 EXAMPLE: ID LINEAR CHAIN WITH S OR P ORBITALS 125 4.1.2 EXAMPLE: 2D SQUARE LATTICE WITH S AND P ORBITALS 4.1.3 GENERALIZATIONS OF THE TBA 4.2 GENERAL BAND-STRUCTURE METHODS 4.3 BAND STRUCTURE OF REPRESENTATIVE SOLIDS 4.3.1 A 2D SOLID: GRAPHITE - A SEMIMETAL 4.3.2 3D COVALENT SOLIDS: SEMICONDUCTORS AND INSULATORS 4.3.3 3D METALLIC SOLIDS FURTHER READING PROBLEMS 5 APPLICATIONS OF BAND THEORY 5.1 DENSITY OF STATES 5.2 TUNNELING AT METAL-SEMICONDUCTOR CONTACT 5.3 OPTICAL EXCITATIONS 5.4 CONDUCTIVITY AND DIELECTRIC FUNCTION CONTENTS IX 5.5 EXCITONS 177 5.6 ENERGETICS AND DYNAMICS 185 5.6.1 THE TOTAL ENERGY 186 5.6.2 FORCES AND DYNAMICS 194 FURTHER READING 200 PROBLEMS 201 6 LATTICE VIBRATIONS 203 6.1 PHONON MODES 203 6.2 THE FORCE-CONSTANT MODEL 207 6.2.1 EXAMPLE: PHONONS IN 2D PERIODIC CHAIN 209 6.2.2 PHONONS IN A 3D CRYSTAL 213 6.3 PHONONS AS HARMONIC OSCILLATORS 216 6.4 APPLICATION: THE SPECIFIC HEAT OF CRYSTALS 218 6.4.1 THE CLASSICAL PICTURE 218 6.4.2 THE QUANTUM MECHANICAL PICTURE 219 6.4.3 THE DEBYE MODEL 221 6.4.4 THERMAL EXPANSION COEFFICIENT 225 6.5 APPLICATION: PHONON SCATTERING 227 6.5.1 PHONON SCATTERING PROCESSES 228 6.5.2 THE DEBYE-WALLER FACTOR 232 6.5.3 THE MOSSBAUER EFFECT 234 PROBLEMS 237 7 MAGNETIC BEHAVIOR OF SOLIDS 238 7.1 MAGNETIC BEHAVIOR OF INSULATORS 239 7.2 MAGNETIC BEHAVIOR OF METALS 246 7.2.1 MAGNETIZATION IN HARTREE-FOCK FREE-ELECTRON GAS 247 7.2.2 MAGNETIZATION OF BAND ELECTRONS 251 7.3 HEISENBERG SPIN MODEL 254 7.3.1 GROUND STATE OF THE HEISENBERG FERROMAGNET 255 7.3.2 SPIN WAVES IN THE HEISENBERG FERROMAGNET 258 7.3.3 HEISENBERG ANTIFERROMAGNETIC SPIN MODEL 262 7.4 MAGNETIC ORDER IN REAL MATERIALS 265 7.5 CRYSTAL ELECTRONS IN AN EXTERNAL MAGNETIC FIELD 268 7.5.1 DE HAAS-VAN ALPHEN EFFECT 270 7.5.2 CLASSICAL AND QUANTUM HALL EFFECTS 273 FURTHER READING 279 PROBLEMS 279 X CONTENTS 8 SUPERCONDUCTIVITY 282 8.1 OVERVIEW OF SUPERCONDUCTING BEHAVIOR 282 8.2 THERMODYNAMICS OF THE SUPERCONDUCTING TRANSITION 289 8.3 BCS THEORY OF SUPERCONDUCTIVITY 293 8.3.1 COOPER PAIRING 293 8.3.2 BCS GROUND STATE 297 8.3.3 BCS THEORY AT FINITE TEMPERATURE 307 8.3.4 THE MCMILLAN FORMULA FOR T C 308 8.4 HIGH-TEMPERATURE SUPERCONDUCTORS 310 FURTHER READING 312 PROBLEMS 312 II DEFECTS, NON-CRYSTALLINE SOLIDS AND FINITE STRUCTURES 315 9 DEFECTS I: POINT DEFECTS 9.1 INTRINSIC POINT DEFECTS 9.1.1 ENERGETICS AND ELECTRONIC LEVELS 9.1.2 DEFECT-MEDIATED DIFFUSION 9.2 EXTRINSIC POINT DEFECTS 9.2.1 IMPURITY STATES IN SEMICONDUCTORS 9.2.2 EFFECT OF DOPING IN SEMICONDUCTORS 9.2.3 THE P-N JUNCTION 9.2.4 METAL-SEMICONDUCTOR JUNCTION FURTHER READING PROBLEMS 10 DEFECTS II: LINE DEFECTS 10.1 NATURE OF DISLOCATIONS 10.2 ELASTIC PROPERTIES AND MOTION OF DISLOCATIONS 10.2.1 STRESS AND STRAIN FIELDS 10.2.2 ELASTIC ENERGY 10.2.3 PEIERLS-NABARRO MODEL 10.3 BRITTLE VERSUS DUCTILE BEHAVIOR 10.3.1 STRESS AND STRAIN UNDER EXTERNAL LOAD 10.3.2 BRITTLE FRACTURE - GRIFFITH CRITERION 10.3.3 DUCTILE RESPONSE - RICE CRITERION 10.3.4 DISLOCATION-DEFECT INTERACTIONS FURTHER READING PROBLEMS CONTENTS XI 11 DEFECTS III: SURFACES AND INTERFACES 385 11.1 EXPERIMENTAL STUDY OF SURFACES 386 11.2 SURFACE RECONSTRUCTION 394 11.2.1 DIMERIZATION: THE SI(OOL) SURFACE 398 11.2.2 RELAXATION: THE GAAS(L 10) SURFACE 400 11.2.3 ADATOMS AND PASSIVATION: THE SI(L 11) SURFACE 403 11.3 GROWTH PHENOMENA 408 11.4 INTERFACES 419 11.4.1 GRAIN BOUNDARIES 419 11.4.2 HETERO-INTERFACES 421 FURTHER READING 427 PROBLEMS 428 12 NON-CRYSTALLINE SOLIDS 430 12.1 QUASICRYSTALS 430 12.2 AMORPHOUS SOLIDS 436 12.2.1 CONTINUOUS RANDOM NETWORK 437 12.2.2 RADIAL DISTRIBUTION FUNCTION 440 12.2.3 ELECTRON LOCALIZATION DUE TO DISORDER 443 12.3 POLYMERS 447 12.3.1 STRUCTURE OF POLYMER CHAINS AND SOLIDS 448 12.3.2 THE GLASS AND RUBBER STATES 451 FURTHER READING 456 PROBLEMS 457 13 FINITE STRUCTURES 459 460 460 462 476 481 483 484 498 504 509 510 510 FINITE STRUCTURES 13.1 CLUSTERS 13.1.1 13.1.2 13.1.3 13.1.4 METALLIC CLUSTERS CARBON CLUSTERS CARBON NANOTUBES OTHER COVALENT AND MIXED CLUSTERS 13.2 BIOLOGICAL MOLECULES AND STRUCTURES 13.2.1 13.2.2 13.2.3 13.2.4 FURTHER READING PROBLEMS THE STRUCTURE OF DNA AND RNA THE STRUCTURE OF PROTEINS RELATIONSHIP BETWEEN DNA, RNA AND PROTEINS PROTEIN STRUCTURE AND FUNCTION R XII CONTENTS III APPENDICES 513 APPENDIX A ELEMENTS OF CLASSICAL ELECTRODYNAMICS 515 A.I ELECTROSTATICS AND MAGNETOSTATICS 515 A.2 FIELDS IN POLARIZABLE MATTER 518 A.3 ELECTRODYNAMICS 520 A.4 ELECTROMAGNETIC RADIATION 524 FURTHER READING 529 APPENDIX B ELEMENTS OF QUANTUM MECHANICS 530 B.I THE SCHRODINGER EQUATION 530 B.2 BRAS, KETS AND OPERATORS 533 B.3 SOLUTION OF THE TISE 539 B.3.1 FREE PARTICLES 539 B.3.2 HARMONIC OSCILLATOR POTENTIAL 540 B.3.3 COULOMB POTENTIAL 543 B.4 SPIN ANGULAR MOMENTUM 549 B.5 STATIONARY PERTURBATION THEORY 554 B .5.1 NON-DEGENERATE PERTURBATION THEORY 554 B.5.2 DEGENERATE PERTURBATION THEORY 556 B.6 TIME-DEPENDENT PERTURBATION THEORY 557 B.7 THE ELECTROMAGNETIC FIELD TERM 559 FURTHER READING 560 PROBLEMS 560 APPENDIX C ELEMENTS OF THERMODYNAMICS 564 C.I THE LAWS OF THERMODYNAMICS 564 C.2 THERMODYNAMIC POTENTIALS 567 C.3 APPLICATION: PHASE TRANSITIONS 570 PROBLEMS 578 APPENDIX D ELEMENTS OF STATISTICAL MECHANICS 579 D.I AVERAGE OCCUPATION NUMBERS 580 D. 1.1 CLASSICAL MAXWELL-BOLTZMANN STATISTICS 580 D.I.2 QUANTUM FERMI-DIRAC STATISTICS 582 D.1.3 QUANTUM BOSE-EINSTEIN STATISTICS 583 D.2 ENSEMBLE THEORY 584 D.2.1 DEFINITION OF ENSEMBLES 585 D.2.2 DERIVATION OF THERMODYNAMICS 589 CONTENTS XIII D.3 APPLICATIONS OF ENSEMBLE THEORY 591 D.3.1 EQUIPARTITION AND THE VIRIAL 591 D.3.2 IDEAL GASES 592 D.3.3 SPINS IN AN EXTERNAL MAGNETIC FIELD 603 FURTHER READING 617 PROBLEMS 617 APPENDIX E ELEMENTS OF ELASTICITY THEORY 622 E. 1 THE STRAIN TENSOR 622 E.2 THE STRESS TENSOR 624 E.3 STRESS-STRAIN RELATIONS 626 E.4 STRAIN ENERGY DENSITY 627 E.5 APPLICATIONS OF ELASTICITY THEORY 629 E.5.1 ISOTROPIC ELASTIC SOLID 629 E.5.2 PLANE STRAIN 632 E.5.3 SOLID WITH CUBIC SYMMETRY 634 FURTHER READING 636 PROBLEMS 636 APPENDIX F THE MADELUNG ENERGY 638 F. 1 POTENTIAL OF A GAUSSIAN FUNCTION 639 F.2 THE EWALD METHOD 640 PROBLEMS 642 APPENDIX G MATHEMATICAL TOOLS 644 G. 1 DIFFERENTIAL OPERATORS 644 G.2 POWER SERIES EXPANSIONS 646 G.3 FUNCTIONAL DERIVATIVES 648 G.4 FOURIER AND INVERSE FOURIER TRANSFORMS 649 G.5 THE 5-FUNCTION AND ITS FOURIER TRANSFORM 650 G.5.1 THE 5-FUNCTION AND THE 6 -FUNCTION 650 G.5.2 FOURIER TRANSFORM OF THE S -FUNCTION 654 G.5.3 THE 5-FUNCTION SUMS FOR CRYSTALS 654 G.6 NORMALIZED GAUSSIANS 655 APPENDIX H NOBEL PRIZE CITATIONS 657 APPENDIX I UNITS AND SYMBOLS 659 REFERENCES 660 INDEX 667
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spellingShingle	Kaxiras, Efthimios Atomic and electronic structure of solids Estrutura atômica (física moderna) larpcal Física do estado sólido larpcal Physique de l'état solide Solides Structure atomique Atomic structure Solid-state physics Solids Festkörpertheorie (DE-588)4154189-3 gnd
subject_GND	(DE-588)4154189-3
title	Atomic and electronic structure of solids
title_auth	Atomic and electronic structure of solids
title_exact_search	Atomic and electronic structure of solids
title_full	Atomic and electronic structure of solids Efthimios Kaxiras
title_fullStr	Atomic and electronic structure of solids Efthimios Kaxiras
title_full_unstemmed	Atomic and electronic structure of solids Efthimios Kaxiras
title_short	Atomic and electronic structure of solids
title_sort	atomic and electronic structure of solids
topic	Estrutura atômica (física moderna) larpcal Física do estado sólido larpcal Physique de l'état solide Solides Structure atomique Atomic structure Solid-state physics Solids Festkörpertheorie (DE-588)4154189-3 gnd
topic_facet	Estrutura atômica (física moderna) Física do estado sólido Physique de l'état solide Solides Structure atomique Atomic structure Solid-state physics Solids Festkörpertheorie
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work_keys_str_mv	AT kaxirasefthimios atomicandelectronicstructureofsolids

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