Introduction to phonons and electrons:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New Jersey u.a.
World Scientific
2003
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 222 S. graph. Darst. |
| ISBN: | 9812384618 9812384391 |
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Record in the Search Index
| _version_ | 1804130413267910656 |
|---|---|
| adam_text | NTRODUCMON ** PHONONS * ELECTRONS LIANG-FU LOU FORMER MEMBER OF
TECHNICAL STAFF NORTHROP GRUMMAN CORPORATION VFE WORLD SCIENTIFIC WI
NEWJERSEV * LONDON * SI NEW JERSEY * LONDON * SINGAPORE * HONG KONG
CONTENTS PREFACE VII 1. CRYSTAL STRUCTURE 1 INTRODUCTION AND SUMMARY 1
1.1 LATTICE, BASIS, TRANSLATION SYMMETRY, PRIMITIVE LATTICE VECTOR, AND
PRIMITIVE CELL 2 1.2 ROTATION SYMMETRY 3 1.3 BRAVAIS LATTICE 5 1.4
HONEYCOMB STRUCTURE 6 1.5 CUBIC CRYSTALS 9 1.5.1 SIMPLE CUBIC (SC)
LATTICE 10 1.5.2 BODY-CENTERED CUBIC (BCC) LATTICE 11 1.5.3
FACE-CENTERED CUBIC (FEE) LATTICE 12 1.6 CLOSE-PACKED CRYSTALS 13 1.6.1
HEXAGONAL CLOSE-PACKED (HEP) STRUCTURE 15 1.6.2 CUBIC CLOSE-PACKED (FEE)
STRUCTURE 17 1.7 DIAMOND STRUCTURE 18 1.8 WIGNER-SEITZ CELL 20 1.9
BEYOND SINGLE CRYSTALS 20 PROBLEMS 21 IX X INTRODUCTION TO PHONONS AND
ELECTRONS 2. RECIPROCAL LATTICE AND X-RAY DIFFRACTION 23 INTRODUCTION
AND SUMMARY 23 RECIPROCAL LATTICE 24 2.1 A SPECIAL SET OF WAVE VECTORS
IN THE * SPACE 24 2.1.1 EXAMPLES 25 2.2 LATTICE PLANES, CRYSTAL
DIRECTIONS, AND MILLER INDICES .... 27 X-RAY DIFFRACTION 30 2.3 BRAGG
LAW 30 2.4 ELECTRON DENSITY IN CRYSTAL LATTICE 31 2.5 DIFFRACTION BEAM
INTENSITY 32 2.6 VON LAUE S DIFFRACTION LAW 36 2.7 BRILLOUIN ZONES 37
2.8 EFFECTS OF ELECTRON DISTRIBUTION AROUND ATOMS IN THE UNIT CELL 39
2.8.1 ATOMIC FORM FACTOR 41 2.8.2 STRUCTURE FACTOR FOR THE BCC LATTICE
42 2.8.3 STRUCTURE FACTOR FOR THE FEE LATTICE 43 PROBLEMS 44 3. LATTICE
VIBRATIONS AND PHONONS 45 INTRODUCTION AND SUMMARY 45 LATTICE VIBRATION
47 3.1 EQUATION OF MOTION IN THE ONE DIMENSIONAL LATTICE .... 47 3.2
ELASTIC WAVES IN CONTINUOUS MEDIA 50 3.3 WAVES OF LATTICE VIBRATION AND
THE DISPERSION RELATION W(K) 51 3.4 FORCE CONSTANTS 52 3.5 LONG
WAVELENGTH APPROXIMATION 53 3.6 NEAREST NEIGHBOR APPROXIMATION 54 3.7
PHASE VELOCITY AND GROUP VELOCITY 55 3.8 FIRST BRILLOUIN ZONE 61 PHONONS
66 3.9 DIFFICULTIES WITH THE CLASSICAL APPROACH 66 3.10 TWO-BODY
POTENTIAL 67 3.11 HAMILTONIAN OF COUPLED HARMONIC OSCILLATORS 69 3.12
PERIODIC BOUNDARY CONDITION 70 3.13 NORMAL MODE COORDINATE * QK AND PK
IN THE * SPACE . . 71 CONTENTS X I 3.14 QUANTUM MECHANICAL OPERATORS,
COMMUTATION RELATIONS, AND THE UNCERTAINTY PRINCIPLE 74 3.15DIAGONALIZED
HAMILTONIAN IN THE NORMAL MODE COORDINATE 76 3.16 CREATION,
ANNIHILATION, AND NUMBER OPERATORS * THE T V REPRESENTATION 82 3.17
QUANTIZED HAMILTONIAN OF CREATION AND ANNIHILATION OPERATORS 86 3.18
PHONON INTERPRETATION * QUANTIZATION OF LATTICE VIBRATION WAVES 88 3.19
LATTICE VIBRATIONS AND PHONONS * CONNECTION REMARKS 89 PROBLEMS 91 4.
THERMAL PROPERTIES OF INSULATORS 95 INTRODUCTION AND SUMMARY 95 PHONON
STATISTICS 97 4.1 EQUILIBRIUM, PROBABILITY, GIBBS DISTRIBUTION,
PARTITION FUNCTION, AND TEMPERATURE 97 4.2 THERMODYNAMIC PARAMETERS 101
4.3 STATISTICAL QUANTITIES FOR PHONONS * FREE ENERGY, PARTITION
FUNCTION, AVERAGE ENERGY, GIBBS DISTRIBUTION, AND THE AVERAGE OCCUPATION
NUMBER .... 102 LATTICE THERMAL PROPERTIES 105 4.4 PHONON OCCUPATION
NUMBER * A REVISIT 105 4.5 EINSTEIN MODEL FOR LATTICE HEAT CAPACITY 106
4.6 DENSITY OF STATES 107 4.7 DEBYE DENSITY OF STATES, DEBYE CUTOFF
FREQUENCY, AND DEBYE CUTOFF WAVE VECTOR ILL 4.8 VAN HOVE SINGULARITY AND
PHONON DENSITY OF STATES IN REAL CRYSTALS 113 4.9 DEBYE MODEL OF THE
LATTICE HEAT CAPACITY AND DEBYE TEMPERATURE 114 4.10 THE DOMINANT
PHONONS 117 4.11 CRYSTAL MOMENTUM 119 4.12UMCLAPP AND NORMAL PROCESSES
OF PHONON SCATTERING . . . 122 4.13 THERMAL CONDUCTIVITY 124 XII
INTRODUCTION TO PHONONS AND ELECTRONS 4.14PHONON MEAN FREE PATH 127
PROBLEMS 129 5. FREE ELECTRON FERMI GAS 131 INTRODUCTION AND SUMMARY 131
FREE ELECTRON APPROXIMATION AT T = * * 133 5.1 DRUDE MODEL AND
SOMMERFELD MODEL 133 5.2 FREE ELECTRON QUANTUM STATES AND DENSITY OF
STATES . . . 135 5.3 FERMI PARAMETERS - FERMI WAVE VECTOR, FERMI ENERGY,
FERMI LEVEL, FERMI SPHERE, FERMI SURFACE, FERMI VELOCITY, AND FERMI
TEMPERATURE 137 FREE ELECTRONS AT FINITE TEMPERATURES 139 5.4
FERMI-DIRAC PARTICLES VERSUS BOSE-EINSTEIN PARTICLES . . . . 139 5.5
ELECTRON STATISTICS * EQUILIBRIUM, PROBABILITY, GIBBS DISTRI BUTION,
PARTITION FUNCTION, CONSERVATION OF PARTICLES, CHEM ICAL POTENTIAL, AND
FERMI-DIRAC DISTRIBUTION 141 5.6 CALCULATION OF CHEMICAL POTENTIAL AS A
FUNCTION OF TEMPER ATURE 148 5.7 HEAT CAPACITY OF FREE ELECTRONS 155
5.8 OHM S LAW 157 5.9 HALL EFFECT 159 5.10 SOME LIMITATIONS OF THE FREE
ELECTRON MODEL 161 PROBLEMS 165 6. ELECTRON ENERGY BANDS 167
INTRODUCTION AND SUMMARY 167 BLOCH WAVE FUNCTION OF THE CONDUCTION
ELECTRON 170 6.1 EQUIVALENT POTENTIAL 170 6.2 BLOCH THEOREM * A PROOF
FROM THE VANTAGE POINT OF TRANS LATION SYMMETRY IN THE LATTICE 173 6.3
BLOCH THEOREM * A PROOF FROM THE DECOMPOSITION OF PLANE WAVES IN THE
SCHROEDINGER EQUATION 175 6.4 SOME REMARKS ABOUT BLOCH THEOREM 180
ELECTRONS IN THE WEAK PERIODIC POTENTIAL 182 6.5 ONE-ELECTRON
SCHROEDINGER EQUATION 182 6.6 NON-DEGENERATE CASE * A SECOND ORDER EFFECT
184 CONTENTS XIII 6.7 DEGENERATE CASE * THE FIRST ORDER EFFECT 187 6.8
TWO-FOLD DEGENERACY AND ENERGY BANDS 188 6.8.1 ENERGY GAP 190 6.8.2
NEARLY FREE ELECTRON STATES 190 6.8.3 FERMI SURFACE 192 6.8.4 STANDING
WAVES OF ELECTRON STATES 193 6.9 ENERGY BANDS NEAR BRILLOUIN ZONE
BOUNDARIES 194 6.10 BAND EFFECTIVE MASS, GROUP VELOCITY, CRYSTAL
MOMENTUM, AND BRAGG SCATTERING 196 AN EXAMPLE APPLICATION OF THE ENERGY
BAND CONCEPT 205 6.11 HOLES IN SEMICONDUCTORS 205 6.11.1 WAVE VECTOR K H
= -K E 205 6.11.2 ENERGY E H (K H ) = -E E (K E ) 205 6.11.3 VELOCITY V
H = V E 206 6.11.4 CHARGE Q H = -Q E 207 6.11.5 CURRENT J E = J H 209
6.11.6 EFFECTIVE MASS M* H = -M* 209 PROBLEMS 210 BIBLIOGRAPHY 213 INDEX
215
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| illustrated | Illustrated |
| indexdate | 2024-07-09T19:20:38Z |
| institution | BVB |
| isbn | 9812384618 9812384391 |
| language | English |
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| physical | XIII, 222 S. graph. Darst. |
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| spelling | Lou, Liang-fu Verfasser aut Introduction to phonons and electrons Liang-fu Lou New Jersey u.a. World Scientific 2003 XIII, 222 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Electrons Phonons Kristalliner Festkörper (DE-588)4165761-5 gnd rswk-swf Elektron (DE-588)4125978-6 gnd rswk-swf Phonon (DE-588)4129373-3 gnd rswk-swf Phonon (DE-588)4129373-3 s Kristalliner Festkörper (DE-588)4165761-5 s DE-604 Elektron (DE-588)4125978-6 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010628410&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lou, Liang-fu Introduction to phonons and electrons Electrons Phonons Kristalliner Festkörper (DE-588)4165761-5 gnd Elektron (DE-588)4125978-6 gnd Phonon (DE-588)4129373-3 gnd |
| subject_GND | (DE-588)4165761-5 (DE-588)4125978-6 (DE-588)4129373-3 |
| title | Introduction to phonons and electrons |
| title_auth | Introduction to phonons and electrons |
| title_exact_search | Introduction to phonons and electrons |
| title_full | Introduction to phonons and electrons Liang-fu Lou |
| title_fullStr | Introduction to phonons and electrons Liang-fu Lou |
| title_full_unstemmed | Introduction to phonons and electrons Liang-fu Lou |
| title_short | Introduction to phonons and electrons |
| title_sort | introduction to phonons and electrons |
| topic | Electrons Phonons Kristalliner Festkörper (DE-588)4165761-5 gnd Elektron (DE-588)4125978-6 gnd Phonon (DE-588)4129373-3 gnd |
| topic_facet | Electrons Phonons Kristalliner Festkörper Elektron Phonon |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010628410&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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