Mean opacities and the structure of optically thin accretion discs

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Accretion Disks, Cataclysmic Variables, Opacity, Optical Thickness, Plancks Constant, Radiative Transfer, Astronomical Models, Interstellar Matter, Line Spectra, Monochromatic Radiation

Scientific paper

Optically thin accretion disc models calculated with various mean opacity coefficients are compared to those obtained with a full treatment of the monochromatic opacity. The Rosseland mean gives a reasonable estimate of the conditions. Somewhat better results are obtained while adopting the Planck mean but provided that it does not include the contribution from spectral lines. If the latter is taken into account the Planck mean seriously overestimates the opacity and results in a too low temperature of the disc material. The author warns against the use of the Planck mean in various astrophysical situations especially if the medium investigated is only moderately optically thin.

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