Second Edition Optics of Nanomaterials Vladimir I. Gavrilenko Optics of Nanomaterials Second Edition Optics of Nanomaterials Vladimir I. Gavrilenko Publishedby JennyStanfordPublishingPte.Ltd. Level34,CentennialTower 3TemasekAvenue Singapore039190 Email:[email protected] Web:www.jennystanford.com BritishLibraryCataloguing-in-PublicationData AcataloguerecordforthisbookisavailablefromtheBritishLibrary. OpticsofNanomaterials(SecondEdition) Copyright(cid:2)c 2020JennyStanfordPublishingPte.Ltd. Allrightsreserved.Thisbook,orpartsthereof,maynotbereproducedinany form or by any means, electronic or mechanical, including photocopying, recordingoranyinformationstorageandretrievalsystemnowknownorto beinvented,withoutwrittenpermissionfromthepublisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not requiredfromthepublisher. ISBN978-981-4774-59-8(Hardcover) ISBN978-0-203-71062-3(eBook) Dedicatedto Ludmila,Natasha,Alexander,Alena, Joshua,Sophia,Adeline,andElias Contents PrefacetotheSecondEdition xiii PrefacetotheFirstEdition xv 1 FabricationandClassificationofNanomaterials 1 1.1 ABriefOverviewofBasicFabricationTechniques 2 1.2 NanomaterialsBasedonPureCarbon 7 1.2.1 NanostructuredBulkCarbon 8 1.2.2 CarbonNanoparticles 9 1.2.3 CarbonNanotubes 10 1.2.4 CarbonNanofibres 12 1.2.5 Graphene 14 1.3 MetallicandMetal-BasedNanoparticles 17 1.3.1 PureMetals 17 1.3.2 Metal-BasedNanoparticles 20 1.4 SemiconductorNanoparticles 22 1.4.1 SemiconductorQuantumWires 23 1.4.2 II–VINanocrystals 25 1.4.3 Core/ShellNanocrystals 27 1.4.4 Wide-Band-GapNanomaterials 28 1.4.5 HollowNanoparticles 32 1.5 AssembledNanoparticlesandNanostructures 36 1.6 Nanocomposites 38 1.7 NanostructuredandNanocompositePolymers 40 1.8 BiologicalNanomaterials 41 2 ElectronEnergyStructureandOpticsofNanostructured Materials 47 2.1 IntroductiontoQuantumTheoryofElectronsin Materials 48 viii Contents 2.1.1 TheHydrogenAtom 50 2.1.2 SolidStatePhysicsTerminology 53 2.1.3 QuantumMechanicsofParticlesinPeriodic Potential 54 2.1.4 Tight-BindingBandStructureofOne-and Two-DimensionalCrystals 57 2.2 ElectronsinaQuantumWell 62 2.3 ElectronsunderOne-DimensionalConfinement 63 2.3.1 Two-DimensionalElectronsinaSiliconThin Film 64 2.3.2 Two-DimensionalElectronsinGraphene 66 2.4 OpticalResponseunderOne-Dimensional Confinement:Graphene 70 2.5 ParticleinSphericallySymmetricPotential 74 2.6 DescriptionoftheElectromagneticFieldinMedia 79 2.7 SemiclassicalTheoryofLinearOpticalResponse 84 2.8 SemiclassicalTheoryofNonlinearOpticalResponse 87 2.9 OpticalResponsefromFirstPrinciples 89 2.10 EffectoftheLocalFieldinClassicalOptics 94 2.11 OpticalLocalFieldEffectfromFirstPrinciples 95 3 NanoscaleOptics 101 3.1 PlasmaExcitationsinOptics 101 3.2 PlasmonResonanceinSphericalNanoparticles 105 3.3 EffectiveMediumApproximationsinOpticsof Nanomaterials 111 3.4 ElectromagneticFieldEnhancementinMetallic Nanostructures 113 3.5 PlasmonsinHollowNanoparticles 122 3.6 NegativeIndexMaterials 125 3.7 Near-FieldOptics 133 4 OpticalAbsorptionandFluorescenceofNanomaterials 141 4.1 BasicsofLightEmissionandAbsorption 141 4.2 Photoluminescence 146 4.3 MetallicNanoparticles 150 4.4 NanostructuresBasedonMetallicAlloys 164 4.5 MetallicNanowires 167 Contents ix 4.6 SemiconductorNanowires 171 4.7 SemiconductorNanoparticles 177 4.7.1 NanoparticlesofII–VIMaterials 179 4.7.2 GroupIII-NitrideNanomaterials 183 4.7.3 NanocrystallineGroupIVMaterials 187 5 ExcitonsinQuantumConfinedSystems 191 5.1 ExcitonsinBulkMaterials 192 5.2 Two-DimensionalExcitonsonSurfacesandInterfaces 196 5.3 One-DimensionalExcitonsinQuantumWires 197 5.4 AnalysisofExcitonsinQuantumDotswithinEffective MassApproximation 200 5.5 ExcitonsinQuantumDotsbeyondEffectiveMass Approximation 208 5.6 ExperimentalStudiesofExcitonsinQuantumDots 212 5.7 MultiexcitonsinQuantumDots 217 6 RamanSpectroscopyofNanomaterials 231 6.1 BasicsoftheRamanScattering 232 6.2 LightScatteringMechanisms 234 6.3 RamanScatteringofQuantumDots 236 6.4 ExcitonRamanScattering 239 6.5 EffectsofQuantumConfinementonRamanSpectra 245 6.6 SurfaceEnhancedRamanScatteringof Nanostructures 252 6.7 ElectromagneticMechanismofSERS 258 6.8 ChemicalMechanismofSERS 261 6.9 TowardsMicroscopicUnderstandingofSERS 266 7 CoherentOpticalSpectroscopyofQuantumDots 273 7.1 InteractionofQuantizedOpticalFieldwith AtomicSystem 276 7.2 RabiOscillations 277 7.3 DressedElectronicStates 280 7.4 QuantumDotsinaCoherentOpticalField: StrongandWeakCouplingConditions 282 7.5 QuantumDotsinPhotonicCrystals 284 7.6 OpticalAbsorptionofQuantumDotsinaStrong CoherentField 289