Book contents
- Frontmatter
- Contents
- Preface to the first edition
- Preface to the second edition
- Preface to the third edition
- 1 Background
- 2 Fourier transforms
- 3 Spectroscopic tools
- 4 Light detectors
- 5 Radiation terms and definitions
- 6 The black body and its radiation
- 7 Radiative and convective energy transport
- 8 The continuous absorption coefficient
- 9 The model photosphere
- 10 The measurement of stellar continua
- 11 The line absorption coefficient
- 12 The measurement of spectral lines
- 13 The behavior of spectral lines
- 14 The measurement of stellar radii and temperatures
- 15 The measurement of photospheric pressure
- 16 Chemical analysis
- 17 Velocity fields in stellar photospheres
- 18 Stellar rotation
- Appendix A A table of useful constants
- Appendix B Physical parameters of stars
- Appendix C A fast Fourier transform Fortran program
- Appendix D Atomic data
- Appendix E The strongest lines in the solar spectrum
- Appendix F Computation of random errors
- Index
- References
11 - The line absorption coefficient
Published online by Cambridge University Press: 05 March 2015
- Frontmatter
- Contents
- Preface to the first edition
- Preface to the second edition
- Preface to the third edition
- 1 Background
- 2 Fourier transforms
- 3 Spectroscopic tools
- 4 Light detectors
- 5 Radiation terms and definitions
- 6 The black body and its radiation
- 7 Radiative and convective energy transport
- 8 The continuous absorption coefficient
- 9 The model photosphere
- 10 The measurement of stellar continua
- 11 The line absorption coefficient
- 12 The measurement of spectral lines
- 13 The behavior of spectral lines
- 14 The measurement of stellar radii and temperatures
- 15 The measurement of photospheric pressure
- 16 Chemical analysis
- 17 Velocity fields in stellar photospheres
- 18 Stellar rotation
- Appendix A A table of useful constants
- Appendix B Physical parameters of stars
- Appendix C A fast Fourier transform Fortran program
- Appendix D Atomic data
- Appendix E The strongest lines in the solar spectrum
- Appendix F Computation of random errors
- Index
- References
Summary
The strengths and shapes of spectral lines contain a great deal of information about the stars, and the line absorption coefficient plays a fundamental role here. The situation in this regard is similar to the effect the continuous absorption coefficient has on the shape of the continuum. Lines are more interesting, however, because several different physical effects can enter the structuring of the final absorption coefficient. Each of these has its own variation with wavelength across the line, that is, its own absorption coefficient. The main processes we consider in this chapter are: (1) natural atomic absorption, (2) pressure broadening, of which there are several, and (3) thermal Doppler broadening. The final combined absorption coefficient is the multiple convolution of these individual absorption coefficients. One of the remarkable results of these studies is that the natural atomic absorption and all the significant pressure broadenings have the same wavelength dependence in their individual absorption coefficients (with the notable exception of the hydrogen lines), namely the dispersion profile. This leads to a tremendous simplification, as we shall see, since the convolution of dispersion profiles is a dispersion profile with a half-width equal to the sum of the individual half-widths of the contributing processes. The thermal broadening, on the other hand, reflects the Maxwellian velocity distribution of the absorbing atoms and ions via the Doppler effect, so its wavelength shape is a Gaussian. The final absorption coefficient is therefore a convolution of the dispersion profile with the Gaussian profile.
- Type
- Chapter
- Information
- The Observation and Analysis of Stellar Photospheres , pp. 231 - 264Publisher: Cambridge University PressPrint publication year: 2005
References
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