An introduction to Raman spectroscopy

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1. Verfasser: Kolesov, Boris A. (VerfasserIn)
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Sprache:English
Veröffentlicht: Newcastle upon Tyne Cambridge Scholars Publishing [2022]
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Datensatz im Suchindex

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adam_text Contents Preface.......................................................................................................... x Chapter 1...................................................................................................... 1 Raman scattering: Basic concepts and brief theoretical description 1.1. Elastic and inelastic light scattering................................................ 1 1.2. Elementary theory of Raman scattering.......................................... 3 1.3. Semi-classic and quantum-mechanical approaches........................ 7 1.4. Quantum mechanical description.................................................. 12 Chapter 2.................................................................................................... 15 Vibrations of molecules 2.1. Harmonic oscillator in classical mechanics.................................. 15 2.2. Quantum mechanical harmonic oscillator..................................... 18 2.3. Vibrations of polyatomic molecules. The secular equation........ 25 2.4. Rotational states of two atomic molecules.................................... 29 Chapter 3.................................................................................................... 32 Vibrations of crystals 3.1. Types of phonons in crystals......................................................... 32 3.2. Dispersion of phonons................................................................ 33 3.3. Density of phonon states............................................................... 38 3.4. Wave vector selection rules.......................................................... 39 3.5. Interaction effects in polar crystals.............................. 40 Chapter 4.................................................................................................... 45 Symmetry of vibrations of molecules and crystals 4.1. Symmetry of molecular vibrations, symmetry coordinates and equivalent coordinates....................................................... 45 4.2. Transformation matrixes of vibrational coordinates.................... 49 4.3. Degenerate and nondegenerate vibrations..................................... 50 4.4. Symmetry groups of molecules and crystals................................. 53 4.5. Incredible representations............................................... 54 4.6. Symmetiy of ciystal vibrations..................................................... 60 vi Contents Chapter 5.................................................................................................... 64 Analysis of molecular and crystalline vibrations by symmetry 5.1. Analysis of molecular vibrations.................................................. 64 5.2. Analysis of crystal vibrations........................................................ 68 5.3. Number of vibrations.....................................................................78 Chapter 6.................................................................................................... 80 Raman tensor and selection rules in vibrational spectra 6.1. Polarizability tensor and Raman tensor......................................... 80 6.2. Selection rules for first order processes........................................ 81 6.3. Selection rules for second order processes.................................... 85 Chapter 7.................................................................................................... 89 The technique of Raman spectroscopy 7.1. Block diagram of Raman spectrometer......................................... 89 7.2. Types of spectral device for Raman spectroscopy........................ 90 7.3. Polarization measurements........................................................... 98 7.4. Leakage of polarization............................................................. 99 7.5. Fourier-raman spectroscopy.........................................................100 Chapter 8.................................................................................................. 104 Frequency, intensity, polarization and the bandwidth of the bands in the vibrational spectra 8.1. Vibrational frequency.................................................................. 104 8.2. Bands intensity in the Raman spectra........................................ 110 8.3. Polarization of bands in the Raman spectra...............................115 8.4. Spectral bandwidth....................................................................... 125 Chapter 9.................................................................................................. 126 Amplitude and anharmonicity of vibrations 9.1. Amplitude of vibrations............................................................... 126 9.2. Anharmonicity of vibrations....................................................... 127 9.3. Dependence of vibrational frequencies on temperature. Anharmonic contributions....................................................... 129 9.4. Anharmonic interaction of normal vibrations............................. 141 Chapter 10................................................................................................ 145 Nonlinear effects in Raman scattering 10.1. Stimulated Raman scattering (SR)............................................ 146 10.2. Hyper Raman scattering (HR)................................................... 147 10.3. Coherent anti-stokes Raman scattering (CARS)....................... 149 An Introduction to Raman Spectroscopy vii 10.4. Surface enhanced Raman scattering (SERS).............................. 150 10.5. Resonance Raman scattering (RR)............................................... 151 Chapter 11...................................................................................................... 154 Hydrogen bonding 11.1. Definition, brief history, main stages of development............. 155 11.2. General description........................................................................ 157 11.2.1 . Potential energy of a proton on a hydrogen bond......... 158 11.2.2 . The bond energy as function of its length. Uncertainty of the proton coordinates, uncertainty of the 0-0 distance.... 160 11.2.3 . The proton vibrational frequency as function of a length of the hydrogen bond............................................................. 163 11.2.4 Half-width of the O-H· · Ό vibrational bands.................... 170 11.2.5 Intensity of О-H· Ό vibrational bands.............................. 171 11.2.6 How does single-well potential occur?............ ....................173 11.3 Experimental study of strong hydrogen bonds............................. 174 11.3.1 The features of the vibrational spectrum of benzoic acid... 174 11.3.2 Strong hydrogen bonds. Glycine Phosphate....................... 177 11.3.3 . Extremely strong hydrogen bond in [(DMF)2H]2.......... 182 11.4. Tautomeric hydrogen bonds......................................................... 186 11.4.1 What is the proton tautomerism?.......................................... 186 11.4.2 Quantum delocalization of protons..................................... 192 11.4.3 Proton hopping in ibuprofen................................................. 193 11.4.4 Proton tunneling....................................................................196 11.5. Brief characteristic ofN-H-O and C-H-Y hydrogen bonds... 198 11.5.1 N-H—О hydrogen bond.......................................................198 11.5.2 . Weak C-H-Y bonds. Blue shift.................................. 200 11.6. Conclusion......................................................................................201 Chapter 12...................................................................................................... 202 Vibrations of the H2O molecule in the cavities of beryl and other minerals 12.1. H2O, Type 1.....................................................................................203 12.2. H2O, Type II.................................................................................. 211 12.3. H2O in cavity of other minerals................................................... 214 Chapter 13...................................................................................................... 218 Spectroscopy of molecular crystals 13.1. General remarks............................................................................. 218 13.2. Methodological features................................................................ 220 13.3. Spectra of crystals of amino acids................................................ 225 viii Contents 13.4. “Anomalous” changes in the intensities of low-frequency modes in L-alanine...................................................................... 230 13.5. Delocalization of vibrations in crystals of compounds with the acetamide group.................................................................... 236 Chapter 14...................................................................................................... 248 Light scattering by glasses and nanoparticles 14.1. Phonon spectrum in disturbed crystals - folding zones........ 248 14.2. Boson peak...................................................................................... 250 14.3. Localization of phonons in nanoparticles................................... 250 14.4. Simulation of the scattering spectrum on silicon nanoparticles.. 252 14.6. Electronic confinement in nanocrystals...................................... 256 Chapter 15...................................................................................................... 258 Features of Raman spectra of carbon different forms 15.1. Spectra of graphite......................................................................... 258 15.2. Carbon nanotubes........................................................................... 262 15.3. Graphene......................................................................................... 264 Chapter 16...................................................................................................... 268 Scattering by spin waves in crystals Appendix A. Unit and primitive cells of crystals...................................... 277 Al. Direct space....................................................................................... 277 A2. Reciprocal space.............................................................................. 280 Appendix B. Symmetry of molecules and crystals.................................... 282 Appendix C. Construction of symmetry coordinates................................. 296 Appendix D. Tables of characters............................................................... 300 DI. Characters of irreducible representations of 32 finite crystallographic groups.............................................................. 300 D2. Characters of irreducible representations of finite molecular groups with the 5th order principal axis of rotation................ 308 D3. Characters of irreducible representations of the infinite groups Coop and LLV of linear molecules................................................ 310 Appendix E. Correlation tables................................................................... 311 An Introduction to Raman Spectroscopy ix Appendix F. Selection rules for Raman scattering and infrared absorption................................................................................................. 321 Appendix G. Transformation of Raman tensor....................................... 325 Appendix H. Frequency of characteristic vibrations............................... 330 Appendix I. Vibrations of molecular ions in the structure of inorganic crystals 344 Appendix J. Units of measurement and other reference data..................362 References................................................................................................ 364
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spellingShingle Kolesov, Boris A.
An introduction to Raman spectroscopy
Raman-Spektroskopie (DE-588)4176916-8 gnd
subject_GND (DE-588)4176916-8
title An introduction to Raman spectroscopy
title_auth An introduction to Raman spectroscopy
title_exact_search An introduction to Raman spectroscopy
title_full An introduction to Raman spectroscopy by Boris A. Kolesov
title_fullStr An introduction to Raman spectroscopy by Boris A. Kolesov
title_full_unstemmed An introduction to Raman spectroscopy by Boris A. Kolesov
title_short An introduction to Raman spectroscopy
title_sort an introduction to raman spectroscopy
topic Raman-Spektroskopie (DE-588)4176916-8 gnd
topic_facet Raman-Spektroskopie
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033868678&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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