Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Introduction
- 2 Atomic Structure and the Quantum Mechanics of Angular Momentum
- 3 Structure of Diatomic Molecules
- 4 Quantum Mechanical Analysis of the Interaction of Laser Radiation with Electric Dipole Resonances
- 5 Quantum Mechanical Analysis of Single-Photon Electric Dipole Resonances for Diatomic Molecules
- 6 Absorption and Emission Spectroscopy
- 7 Raman Spectroscopy
- 8 Coherent Anti-Stokes Raman Scattering (CARS) Spectroscopy
- Spherical Harmonics and Radial Wavefunctions for One-Electron Atoms
- Clebsch–Gordan Coefficients, Dipole Moments, and Spontaneous Emission Coefficients for the 2p–1s Transition in Atomic Hydrogen
- Properties and Values for Selected 3j Symbols
- Properties and Values for Selected 6j Symbols (Weissbluth, 1978)
- Allowed LS Coupling Terms for Equivalent d2 Electrons
- Derivation of the Higher-Order Density Matrix Elements for Doublet and Triplet Electronic Levels
- Einstein Coefficients for Spontaneous Emission for the X2Π–A2Σ+ (0,0) Bands of OH and NO and the X3Σ−–A3Π (0,0) Band of NH
- Effect of Hyperfine Splitting on Radiative Transition Rates
- Voigt Function Values
- References
- Index
7 - Raman Spectroscopy
Published online by Cambridge University Press: 12 December 2024
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Introduction
- 2 Atomic Structure and the Quantum Mechanics of Angular Momentum
- 3 Structure of Diatomic Molecules
- 4 Quantum Mechanical Analysis of the Interaction of Laser Radiation with Electric Dipole Resonances
- 5 Quantum Mechanical Analysis of Single-Photon Electric Dipole Resonances for Diatomic Molecules
- 6 Absorption and Emission Spectroscopy
- 7 Raman Spectroscopy
- 8 Coherent Anti-Stokes Raman Scattering (CARS) Spectroscopy
- Spherical Harmonics and Radial Wavefunctions for One-Electron Atoms
- Clebsch–Gordan Coefficients, Dipole Moments, and Spontaneous Emission Coefficients for the 2p–1s Transition in Atomic Hydrogen
- Properties and Values for Selected 3j Symbols
- Properties and Values for Selected 6j Symbols (Weissbluth, 1978)
- Allowed LS Coupling Terms for Equivalent d2 Electrons
- Derivation of the Higher-Order Density Matrix Elements for Doublet and Triplet Electronic Levels
- Einstein Coefficients for Spontaneous Emission for the X2Π–A2Σ+ (0,0) Bands of OH and NO and the X3Σ−–A3Π (0,0) Band of NH
- Effect of Hyperfine Splitting on Radiative Transition Rates
- Voigt Function Values
- References
- Index
Summary
Raman scattering spectroscopy is widely used in analytical chemistry, for structural analysis of materials and molecules and, most importantly for our purposes, as a gas-phase diagnostic technique. Raman scattering is a two-photon scattering process, and the mathematical treatment of Raman scattering is very similar to the mathematical treatment of two-photon absorption. Many of the molecules of interest for quantitative gas-phase spectroscopy are diatomic molecules with non-degenerate 1Σ ground electronic levels, including N2, CO, and H2. In this chapter, the theory of Raman scattering is developed based on Placzek polarizability theory and using irreducible spherical tensor analysis. Herman–Wallis effects are discussed in detail. The chapter concludes with detailed examples of Raman scattering signal calculations.
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- Publisher: Cambridge University PressPrint publication year: 2024