Introduction to the Theory of Atomic Spectra

Introduction to the Theory of Atomic Spectra

International Series of Monographs in Natural Philosophy

1st Edition - January 1, 1972

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  • Author: I. I. Sobel'Man
  • eBook ISBN: 9781483159720

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Introduction to the Theory of Atomic Spectra is a systematic presentation of the theory of atomic spectra based on the modern system of the theory of angular momentum. Many questions which are of interest from the point of view of using spectroscopic methods for investigating various physical phenomena, including continuous spectrum radiation, excitation of atoms, and spectral line broadening, are discussed. This volume consists of 11 chapters organized into three sections. After a summary of elementary information on atomic spectra, including the hydrogen spectrum and the spectra of multi-electron atoms, the reader is methodically introduced to angular momentum, systematics of the levels of multi-electron atoms, and hyperfine structure of spectral lines. Relativistic corrections are also given consideration, with particular reference to the use of the Dirac equation to determine the stationary states of an electron in an arbitrary electromagnetic field. In addition, the book explores the Stark effect and the Zeeman effect, the interaction between atoms and an electromagnetic field, and broadening of spectral lines. The final chapter is devoted to the problem of atomic excitation by collisions. This book is intended for advanced-course university students, postgraduate students and scientists working on spectroscopy and spectral analysis, and also in the field of theoretical physics.

Table of Contents

  • Preface

    Preface to the English Edition


    Part I Elementary Information on Atomic Spectra

    Chapter 1 The Hydrogen Spectrum

    § 1. Schrödinger's Equation for the Hydrogen Atom

    § 2. Series Regularities

    § 3. Fine Structure

    Chapter 2 Systematics of the Spectra of Multi-Electron Atoms

    § 4. Central Field

    § 5. General Picture of Electrostatic and Spin-orbit Splitting of Levels in the LS-Coupling Approximation

    § 6. jj-Coupling Approximation

    Chapter 3 Spectra of Multi-Electron Atoms

    § 7. Periodic System of Elements

    § 8. Spectra of the Alkali Elements

    § 9. Spectra of the Alkaline-Earth Elements

    § 10. Spectra of Elements with p-Valence Electrons

    § 11. Spectra of Elements with Unfilled d- and f-shells

    Part II Theory of Atomic Spectra

    Chapter 4 Angular Momenta

    § 12. Angular Momentum Operator. Addition of Angular Momenta

    § 13. Angular Momentum Vector Addition Coefficients

    § 14. Irreducible Tensor Operators

    Chapter 5 Systematics of the Levels of Multi-Electron Atoms

    § 15. Wave Functions

    § 16. Matrix Elements of Symmetric Operators

    § 17. Electrostatic Interaction in LS-Coupling. Two-Electron Configurations

    § 18. Electrostatic Interaction in LS-Coupling. Multi-Electron Configurations

    § 19. Multiplet Splitting in LS-Coupling

    § 20. jj-Coupling and Other Types of Coupling

    § 21. Hartree-Fock Self-Consistent Field Method

    Chapter 6 Hyperfine Structure of Spectral Lines

    § 22. Nuclear Magnetic Dipole and Electric Quadrupole Moments

    § 23. Hyperfine Splitting

    § 24. Isotope Effect

    Chapter 7 Relativistic Corrections

    § 25. Dirac Equation

    § 26. Central Field

    § 27. Relativistic Corrections

    PART III Excitation and Radiation of Atoms. Elementary Processes

    Chapter 8 The Atom in an External Field

    § 28. Electric Field. Stark Effect

    § 29. Magnetic Field. Zeeman Effect

    Chapter 9 Interaction of Atoms with an Electromagnetic Field

    § 30. Radiation of Electromagnetic Waves

    § 31. Electric Dipole Radiation

    § 32. Multipole Radiation

    § 33. Calculation of Oscillator Strengths

    § 34. Continuous Spectrum

    Chapter 10 Broadening of Spectral Lines

    § 35. Radiative and Doppler Broadening

    § 36. General Theory of the Effects of Pressure in a Binary Approximation

    § 37. Quantum Mechanical Generalization of the Theory

    § 38. Broadening of Lines of the Hydrogen Spectrum in a Plasma

    § 39. Line Broadening of Nonhydrogen-like Spectra in a Plasma

    § 40. Broadening by Uncharged Particles

    Chapter 11 Excitation of Atoms

    § 41. Fundamentals of Scattering Theory

    § 42. Born Approximation

    § 43. General Equations of the Theory of Electron Collisions with Atoms

    § 42. Born Approximation

    § 45. Refinement of the Born Method on the Basis of the Free Electron Scattering Model

    § 46. Excitation by Heavy Particles

    § 47. Spectroscopic Problems Associated with the Theory of Elastic Scattering of Electrons

    § 48. Tables of Effective Cross-Sections for Excitation of Atoms

    Abbreviated Notations of Cited Literature

    Subject Index

Product details

  • No. of pages: 626
  • Language: English
  • Copyright: © Pergamon 1972
  • Published: January 1, 1972
  • Imprint: Pergamon
  • eBook ISBN: 9781483159720

About the Author

I. I. Sobel'Man

About the Editors

G. K. Woodgate

D. Ter Haar

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