Raman spectroscopy in graphene related systems:
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| Other Authors: | |
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| Format: | Book |
| Language: | English |
| Published: |
Weinheim, Bergstr.
Wiley-VCH
2011
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 354 S. Ill., graph. Darst. |
| ISBN: | 9783527408115 |
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MARC
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| 245 | 1 | 0 | |a Raman spectroscopy in graphene related systems |c Ado Jorio ... |
| 264 | 1 | |a Weinheim, Bergstr. |b Wiley-VCH |c 2011 | |
| 300 | |a XIV, 354 S. |b Ill., graph. Darst. | ||
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Record in the Search Index
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IMAGE 1
VIL
CONTENTS
PREFACE XIII
PART ONE MATERIALS SCIENCE AND RAMAN SPECTROSCOPY BACKGROUND 1
1 THE SP 2 NANOCARBONS: PROTOTYPES FOR NANOSCIENCE AND NANOTECHNOLOGY 3
1.1 DEFINITION OF SP 2 NANOCARBON SYSTEMS 3 1.2 SHORT SURVEY FROM
DISCOVERY TO APPLICATIONS 5 1.3 WHY SP 1 NANOCARBONS ARE PROTOTYPES FOR
NANOSCIENCE AND NANOTECHNOLOGY 10
1.4 RAMAN SPECTROSCOPY APPLIED TO SP 2 NANOCARBONS 11
2 ELECTRONS IN SP 2 NANOCARBONS 17
2.1 BASIC CONCEPTS: FROM THE ELECTRONIC LEVEIS IN ATOMS AND MOLECULES TO
SOLIDS 18 2.1.1 THE ONE-ELECTRON SYSTEM AND THE SCHROEDINGER EQUATION 18
2.1.2 THE SCHROEDINGER EQUATION FOR THE HYDROGEN MOLECULE 20
2.1.3 MANY-ELECTRON SYSTEMS: THE NO MOLECULE 21 2.1.4 HYBRIDIZATION: THE
ACETYLENE C 2 H 2 MOLECULE 23 2.1.5 BASIC CONCEPTS FOR THE ELECTRONIC
STRUCTURE OFCRYSTALS 24 2.2 ELECTRONS IN GRAPHENE: THE MOTHER OISP 2
NANOCARBONS 27 2.2.1 CRYSTAL STRUCTURE OFMONOLAYER GRAPHENE 27 2.2.2 THE
JR-BANDS OF GRAPHENE 28 2.2.3 THE CR-BANDS OF GRAPHENE 31 2.2.4 N-LAYER
GRAPHENE SYSTEMS 33 2.2.5 NANORIBBON STRUCTURE 35 2.3 ELECTRONS IN
SINGLE-WALL CARBON NANOTUBES 37 2.3.1 NANOTUBE STRUCTURE 38 2.3.2
ZONE-FOLDING OF ENERGY DISPERSION RELATIONS 40 2.3.3 DENSITY OF STATES
44 2.3.4 IMPORTANCE OF THE ELECTRONIC STRUCTURE AND EXCITATION LASER
ENERGY TO THE
RAMANSPECTRAOFSWNTS 47 2.4 BEYOND THE SIMPLE TIGHT-BINDING APPROXIMATION
AND ZONE-FOLDING PROCEDURE 48
RAMAN SPECTROSCOPY IN GRAPHENE RELATED SYSTEMS. ADO JORIO, RIICHIRO
SAITO, GENE DRESSELHAUS, AND MUDRED S. DRESSELHAUS COPYRIGHT 2011
WILEY-VCH VERLAG GMBH & CO. KGAA, WEINHEIM
ISBN: 978-3-527-40811-5
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1002408121
DIGITALISIERT DURCH
IMAGE 2
VIIII CONTENTS
3 VIBRATIONS IN SP 2 NANOCARBONS 53
3.1 BASIC CONCEPTS: FROM THE VIBRATIONAL LEVEIS IN MOLECULES TO SOLIDS
55
3.1.1 THE HARMONIE OSCILLATOR 55 3.1.2 NORMAL VIBRATIONAL MODES FROM
MOLECULES TO A PERIODIC LATTICE 56 3.1.3 THE FORCE CONSTANT MODEL 59 3.2
PHONONS IN GRAPHENE 61 3.3 PHONONS IN NANORIBBONS 65 3.4 PHONONS IN
SINGLE-WALL CARBON NANOTUBES 66
3.4.1 THE ZONE-FOLDING PICRURE 66 3.4.2 BEYOND THE ZONE-FOLDING PICTURE
67 3.5 BEYOND THE FORCE CONSTANT MODEL AND ZONE-FOLDING PROCEDURE 69
4 RAMAN SPECTROSCOPY: FROM GRAPHITE TO SP 2 NANOCARBONS 73 4.1 LIGHT
ABSORPTION 73 4.2 OTHER PHOTOPHYSICAL PHENOMENA 75 4.3 RAMAN SCATTERING
EFFECT 78
4.3.1 LIGHT-MATTER INTERACTION AND POLARIZABILITY: CLASSICAL DESCRIPTION
OF THE RAMAN EFFECT 79 4.3.2 CHARACTERISTICS OF THE RAMAN EFFECT 81
4.3.2.1 STOKES AND ANTI-STOKES RAMAN PROCESSES 81 4.3.2.2 THE RAMAN
SPECTRUM 82 4.3.2.3 RAMAN LINESHAPE AND RAMAN SPECTRAL LINEWIDTH F Q 82
4.3.2.4 ENERGY UNITS: CM" 1 84 4.3.2.5 RESONANCE RAMAN SCATTERING AND
RESONANCE WINDOW LINEWIDTH Y R 85
4.3.2.6 MOMENTUM CONSERVATION AND BACKSCATTERING CONFIGURATION OF LIGHT
86 4.3.2.7 FIRST AND HIGHER-ORDER RAMAN PROCESSES 86 4.3.2.8 COHERENCE
87 4.4 GENERAL OVERVIEW OF THE SP 2 CARBON RAMAN SPECTRA 88 4.4.1
GRAPHITE 88 4.4.2 CARBON NANOTUBES - HISTORICAL BACKGROUND 92 4.4.3
GRAPHENE 96
5 QUANTUM DESCRIPTION OF RAMAN SCATTERING 103 5.1 THE FERMI GOLDEN RULE
103 5.2 THE QUANTUM DESCRIPTION OF RAMAN SPECTROSCOPY 108 5.3 FEYNMAN
DIAGRAMS FOR LIGHT SCATTERING 111 5.4 INTERACTION HAMILTONIANS 114 5.4.1
ELECTRON-RADIATION INTERACTION 114 5.4.2 ELECTRON-PHONON INTERACTION 115
5.5 ABSOLUTE RAMAN INTENSITY AND THE EI ASER DEPENDENCE 116
6 SYMMETRY ASPECTS AND SELECTION RULES: CROUP THEORY 121 6.1 THE BASIC
CONCEPTS OF GROUP THEORY 122 6.1.1 DEFINITION OF A GROUP 122 6.1.2
REPRESENTATIONS 123 6.1.3 IRREDUCIBLE AND REDUCIBLE REPRESENTATIONS 124
IMAGE 3
CONTENTS IIX
6.1.4 THE CHARACTER TABLE 126
6.1.5 PRODUCTS AND ORTHOGONALITY 127 6.1.6 OTHER BASIS FUNCTIONS 228
6.1.7 FINDING THE IRS FOR NORMAL MODES VIBRATIONS 128 6.1.8 SELECTION
RULES 130 6.2 FIRST-ORDER RAMAN SCATTERING SELECTION RULES 130 6.3
SYMMETRY ASPECTS OF GRAPHENE SYSTEMS 132 6.3.1 GROUP OFTHE WAVE VECTOR
232 6.3.2 LATTICE VIBRATIONS AND N ELECTRONS 235 6.3.3 SELECTION RULES
FOR THE ELECTRON-PHOTON INTERACTION 238 6.3.4 SELECTION RULES FOR
FIRST-ORDER RAMAN SCATTERING 240 6.3.5 ELECTRON SCATTERING BY Q ^ 0
PHONONS 242 6.3.6 NOTATION CONVERSION FROM SPACE GROUP TO POINT GROUP
IRREDUCIBLE
REPRESENTATIONS 242 6.4 SYMMETRY ASPECTS OF CARBON NANOTUBES 242 6.4.1
COMPOUND OPERATIONS AND TUBE CHIRALITY 243 6.4.2 SYMMETRIES FOR CARBON
NANOTUBES 245
6.4.3 ELECTRONS IN CARBON NANOTUBES 252 6.4.4 PHONONS IN CARBON
NANOTUBES 252 6.4.5 SELECTION RULES FOR FIRST-ORDER RAMAN SCATTERING 252
6.4.6 INSIGHTS INTO SELECTION RULES FROM MATRIX ELEMENTS AND ZONE
FOLDING 253
PART TWO DETAILED ANALYSIS OF RAMAN SPECTROSCOPY IN CRAPHENE RELATED
SYSTEMS 259
7 THE G-BAND AND TIME-INDEPENDENT PERTURBATIONS 262 7.1 G-BAND IN
GRAPHENE: DOUBLE DEGENERACY AND STRAIN 262 7.1.1 STRAIN DEPENDENCE OFTHE
G-BAND 263 7.1.2 APPLICATION OF STRAIN TO GRAPHENE 165 7.2 THE G-BAND IN
NANOTUBES: CURVATURE EFFECTS ON THE TOTALLY SYMMETRIE
PHONONS 265
7.2.1 THE EIGENVECTORS 266 7.2.2 FREQUENCY DEPENDENCE ON TUBE DIAMETER
268 7.3 THE SIX G-BAND PHONONS: CONFINEMENT EFFECT 269 7.3.1 MODE
SYMMETRIES AND SELECTION RULES IN CARBON NANOTUBES 269
7.3.2 EXPERIMENTAL OBSERVATION THROUGH POLARIZATION ANALYSIS 270 7.3.3
THE DIAMETER DEPENDENCE OFFT»G 172 7.4 APPLICATION OF STRAIN TO
NANOTUBES 274 7.5 SUMMARY 275
8 THE C-BAND AND THE TIME-DEPENDENT PERTURBATIONS 279 8.1 ADIABATIC AND
NONADIABATIC APPROXIMATIONS 179 8.2 USE OF PERTURBATION THEORY FOR THE
PHONON FREQUENCY SHIFT 182 8.2.1 THE EFFECT OF TEMPERATURE 182 8.2.2 THE
PHONON FREQUENCY RENORMALIZATION 283
IMAGE 4
X I CONTENTS
8.3 EXPERIMENTAL EVIDENCE OF THE KOHN ANOMALY ON THE G-BAND OF
GRAPHENE 286 8.3.1 EFFECT OF GATE DOPING ON THE G-BAND OF SINGLE-LAYER
GRAPHENE 2 86 8.3.2 EFFECT OF GATE DOPING ON THE G-BAND OF DOUBLE-LAYER
GRAPHENE 286 8.4 EFFECT OF THE KOHN ANOMALY ON THE G-BAND OF M-SWNTS VS.
S-SWNTS 287 8.4.1 THE ELECTRON-PHONON MATRIX ELEMENT: PEIERLS-LIKE
DISTORTION 288 8.4.2 EFFECT OF GATE DOPING ON THE G-BAND OF SWNTS:
THEORY 2 92 8.4.3 COMPARISON WITH EXPERIMENTS 294
8.4.4 CHEMICAL DOPING OF SWNTS 296 8.5 SUMMARY 297
9 RESONANCE RAMAN SCATTERING: EXPERIMENTAL OBSERVATIONS OF THE RADIAL
BREATHING MODE 299 9.1 THE DIAMETER AND CHIRAL ANGLE DEPENDENCE OF THE
RBM FREQUENCY 200 9.1.1 DIAMETER DEPENDENCE: ELASTICITY THEORY 200 9.1.2
ENVIRONMENTAL EFFECTS ON THE RBM FREQUENCY 202 9.1.3 FREQUENCY SHIFTS IN
DOUBLE-WALL CARBON NANOTUBES 206 9.1.4 LINEWIDTHS 208 9.1.5 BEYOND
ELASTICITY THEORY: CHIRAL ANGLE DEPENDENCE 209 9.2 INTENSITY AND THE
RESONANCE RAMAN EFFECT: ISOLATED SWNTS 22 2 9.2.1 THE RESONANCE WINDOW
222 9.2.2 STOKES AND ANTI-STOKES SPECTRA WITH ONE LASER LINE 224 9.2.3
DEPENDENCE ON LIGHT POLARIZATION 225 9.3 INTENSITY AND THE RESONANCE
RAMAN EFFECT: SWNT BUNDLES 226 9.3.1 THE SPECTRAL FITTING PROCEDURE FOR
AN ENSEMBLE OF LARGE DIAMETER
TUBES 227
9.3.2 THE EXPERIMENTAL KATAURA PLOT 218 9.4 SUMMARY 220
10 THEORY OF EXCITONS IN CARBON NANOTUBES 223 10.1 THE EXTENDED
TIGHT-BINDING METHOD: O-N HYBRIDIZATION 224 10.2 OVERVIEW ON THE
EXCITONIC EFFECT 225 10.2.1 THE HYDROGENIC EXCITON 226 10.2.2 THE
EXCITON WAVE VECTOR 227 10.2.3 THE EXCITON SPIN 228 10.2.4 LOCALIZATION
OF WAVEFUNCTIONS IN REAL SPACE 229 10.2.5 UNIQUENESS OF THE EXCITON IN
GRAPHITE, SWNTS AND C 6 O 230 10.3 EXCITON SYMMETRY 231 10.3.1 THE
SYMMETRY OF EXCITONS 231 10.3.2 SELECTION RULES FOR OPTICAL ABSORPTION
234 10.4 EXCITON CALCULATIONS FOR CARBON NANOTUBES 234 10.4.1
BETHE-SALPETER EQUATION 235
10.4.2 EXCITON ENERGY DISPERSION 236 10.4.3 EXCITON WAVEFUNCTIONS 237
10.4.4 FAMILY PATTERNS IN EXCITON PHOTOPHYSICS 242 10.5 EXCITON SIZE
EFFECT: THE IMPORTANCE OFDIELECTRIC SCREENING 243
IMAGE 5
CONTENTS | XI
10.5.1 COULOMB INTERACTION BY THE 2S AND A ELECTRONS 243
10.5.2 THE EFFECT OF THE ENVIRONMENTALDIELECTRIC CONSTANT AE-ENV TERM 245
10.5.3 FURTHER THEORETICAL CONSIDERATIONS ABOUT SCREENING 246 10.6
SUMMARY 248
11 TIGHT-BINDING METHOD FOR CALCULATING RAMAN SPECTRA 252 11.1 GENERAL
CONSIDERATIONS FOR CALCULATING RAMAN SPECTRA 252 11.2 THE (N, M)
DEPENDENCE OF THE RBM INTENSITY: EXPERIMENT 253
11.3 SIMPLE TIGHT-BINDING CALCULATION FOR THE ELECTRONIC STRUCTURE 255
11.4 EXTENDED TIGHT-BINDING CALCULATION FOR ELECTRONIC STRUCTURES 258
11.5 TIGHT-BINDING CALCULATION FOR PHONONS 259 11.5.1 BOND POLARIZATION
THEORY FOR THE RAMAN SPECTRA 260 11.5.2 NON-LINEAR FITTINGOF FORCE
CONSTANT SETS 262 11.6 CALCULATION OF THE ELECTRON-PHOTON MATRIX ELEMENT
263 11.6.1 ELECTRIC DIPOLE VECTOR FOR GRAPHENE 264 11.7 CALCULATION OF
THE ELECTRON-PHONON INTERACTION 266 11.8 EXTENSION TO EXCITON STATES 269
11.8.1 EXCITON-PHOTON MATRIX ELEMENT 270 11.8.2 THE EXCITON-PHONON
INTERACTION 272 11.9 MATRIX ELEMENTS FOR THE RESONANCE RAMAN PROCESS 272
11.10 CALCULATING THE RESONANCE WINDOW WIDTH 273 11.11 SUMMARY 274
12 DISPERSIVE C'-BAND AND HIGHER-ORDER PROCESSES: THE DOUBLE RESONANCE
PROCESS 277 12.1 GENERAL ASPECTS OF HIGHER-ORDER RAMAN PROCESSES 278
12.2 THE DOUBLE RESONANCE PROCESS IN GRAPHENE 280 12.2.1 THE DOUBLE
RESONANCE PROCESS 280 12.2.2 THE DEPENDENCE OF THE FT G FREQUENCY ON
THE EXCITATION LASER
ENERGY 284
12.2.3 THE DEPENDENCE OF THE G'-BAND ON THE NUMBEROF GRAPHENE LAYERS 286
12.2.4 CHARACTERIZATION OF THE GRAPHENE STACKING ORDER BY THE G' SPECTRA
288 12.3 GENERALIZING THE DOUBLE RESONANCE PROCESS TO OTHER RAMAN MODES
289 12.4 THE DOUBLE RESONANCE PROCESS IN CARBON NANOTUBES 290 12.4.1 THE
G'-BAND IN SWNTS BUNDLES 292 12.4.2 THE (N, M) DEPENDENCE OF THE G'-BAND
294
12.5 SUMMARY 296
13 DISORDER EFFECTS IN THE RAMAN SPECTRA OFSP 2 CARBONS 299 13.1 QUANTUM
MODELING OF THE ELASTIC SCATTERING EVENT 302 13.2 THE FREQUENCY OF THE
DEFECT-INDUCED PEAKS: THE DOUBLE RESONANCE PROCESS 304 13.3 QUANTIFYING
DISORDER IN GRAPHENE AND NANOGRAPHITE FROM RAMAN
INTENSITY ANALYSIS 307 13.3.1 ZERO-DIMENSIONAL DEFECTS INDUCED BY ION
BOMBARDMENT 308 13.3.2 THE LOCAL ACTIVATION MODEL 310
IMAGE 6
XIII CONTENTS
13.3.3 ONE-DIMENSIONAL DEFECTS REPRESENTED BY THE BOUNDARIES OF
NANOCRYSTALLITES 313 13.3.4 ABSOLUTE RAMAN CROSS-SECTION 317 13.4
DEFECT-INDUCED SELECTION RULES: DEPENDENCE ON EDGE ATOMIC STRUCTURE 317
13.5 SPECIFICITIES OF DISORDER IN THE RAMAN SPECTRA OF CARBON NANOTUBES
320 13.6 LOCAL EFFECTS REVEALED BY NEAR-FIELD MEASUREMENTS 322 13.7
SUMMARY 323
14 SUMMARY OF RAMAN SPECTROSCOPY ON SP 2 NANOCARBONS 327 14.1 MODE
ASSIGNMENTS, ELECTRON, AND PHONON DISPERSIONS 327 14.2 THE G-BAND 328
14.3 THE RADIAL BREATHING MODE (RBM) 330 14.4 G'-BAND 332
14.5 D-BAND 333
14.6 PERSPECTIVES 334
REFERENCES 335
INDEX 351 |
| any_adam_object | 1 |
| author2 | Jorio, Ado |
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| discipline | Chemie / Pharmazie Physik |
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| id | DE-604.BV037193358 |
| illustrated | Illustrated |
| indexdate | 2024-12-06T09:10:58Z |
| institution | BVB |
| isbn | 9783527408115 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-021107727 |
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| publisher | Wiley-VCH |
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| spelling | Raman spectroscopy in graphene related systems Ado Jorio ... Weinheim, Bergstr. Wiley-VCH 2011 XIV, 354 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Raman-Spektroskopie (DE-588)4176916-8 gnd rswk-swf Fullerene (DE-588)4305238-1 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Fullerene (DE-588)4305238-1 s Raman-Spektroskopie (DE-588)4176916-8 s DE-604 Jorio, Ado (DE-588)134156048 ctb DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021107727&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Raman spectroscopy in graphene related systems Raman-Spektroskopie (DE-588)4176916-8 gnd Fullerene (DE-588)4305238-1 gnd |
| subject_GND | (DE-588)4176916-8 (DE-588)4305238-1 (DE-588)4143413-4 |
| title | Raman spectroscopy in graphene related systems |
| title_auth | Raman spectroscopy in graphene related systems |
| title_exact_search | Raman spectroscopy in graphene related systems |
| title_full | Raman spectroscopy in graphene related systems Ado Jorio ... |
| title_fullStr | Raman spectroscopy in graphene related systems Ado Jorio ... |
| title_full_unstemmed | Raman spectroscopy in graphene related systems Ado Jorio ... |
| title_short | Raman spectroscopy in graphene related systems |
| title_sort | raman spectroscopy in graphene related systems |
| topic | Raman-Spektroskopie (DE-588)4176916-8 gnd Fullerene (DE-588)4305238-1 gnd |
| topic_facet | Raman-Spektroskopie Fullerene Aufsatzsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021107727&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT jorioado ramanspectroscopyingraphenerelatedsystems |