Atomic and electronic structure of solids:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2003
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XX, 676 S. graph. Darst. |
| ISBN: | 0521810108 0521523397 |
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Record in the Search Index
| _version_ | 1804129917608132608 |
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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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| illustrated | Illustrated |
| indexdate | 2024-07-09T19:12:45Z |
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| isbn | 0521810108 0521523397 |
| language | English |
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| physical | XX, 676 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
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| publisher | Cambridge Univ. Press |
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| spelling | Kaxiras, Efthimios Verfasser aut Atomic and electronic structure of solids Efthimios Kaxiras 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2003 XX, 676 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier 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 rswk-swf Festkörpertheorie (DE-588)4154189-3 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf 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 Inhaltsverzeichnis |
| 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 |
| url | 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 |
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