Quote:
Originally Posted by Weltevreden SA
The question: Re 'According to one popular model, the grains become progressively more numerous with progressively decreasing grain radius,' I wonder if that would be a power-law relationship vis-a-vis linear or log. Power law relationships describe some pretty fundamental properties, e.g. initial mass function, luminosity function, etc. Thoughts?
Another question: Re your comment, 'astronomers who talk about the composition and size-distribution of the Interstellar Dust very prudently talk about models rather than actual confirmed facts.' I read so many papers based on modeling that I wonder where the boundary between 'prudent' and 'over-reaching' lies.
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Yes, it's a "power law" particle size-distribution in that model.
[[
number of particles of a particular Grain Radius
is proportional to
the reciprocal of (the radius to the power of 3.5 )
]]
(within the applicable range of Grain Radii)
As the source of this result, Bruce Draine cites: Mathis et al, 1977, ApJ,
217, 425
There are a large number of observational constraints available for models of the interstellar dust grains.
Traditionally, the most important (and practically useful) observable is the observed 'extinction law' which is the graph of how the extinction/dimming (e.g measured in magnitudes) varies with the wavelength (or frequency) of observation. This was first observed by R.J. Trumpler in 1930, who has the immortal honour of proving that a general diffuse & dusty medium pervades our own Galaxy. (E.E. Barnard's results in the first years of the 20th C. were
strongly suggestive, but
did not actually prove the existence of a dimming agent in the interstellar medium.)
Bruce T. Draine, who is a good explainer (though he has a habit of explaining things at a level suitable for a really good physics graduate), gives a list of observations of the interaction of the interstellar dust with electromagnetic radiation. This is observational evidence that provides constraints on any model of the interstellar dust:
[ a very-heavy book, but a comprehensive reference on the ISM] [ the following is a direct quotation from Draine's book, slightly edited for clarity]
"
- Wavelength-dependent attenuation ("extinction") of starlight by absorption and scattering, now observable at wavelengths as long as 20 microns and as short as 0.1 microns. The extinction includes a number of spectral features that provide clues to grain composition.
- Polarization-dependent attenuation of starlight, resulting in wavelength-dependent polarization of light reaching us from reddened stars.
- Scattered light in reflection nebulae.
- Thermal emission from dust, at wavelengths ranging from 2 microns to sub-millimeter.
- Small-angle scattering of X-rays, resulting in "scattered halos" around x-ray point sources.
- Microwave emission from dust, probably from rapidly spinning ultrasmall grains.
- Luminescence when dust is illuminated by starlight; the so-called extended red emission.
In addition to these electromagnetic studies, our knowledge of interstellar dust is also informed by other, less direct, evidence:
- Presolar grains preserved in meteorites - a selective but not well-understood sampling of the interstellar grains that were present in the solar nebula, 4.5 billion years ago.
- "Depletion" of certain elements from the interstellar gas, with the missing atoms presumed to be contained in the dust grains.
- The observed abundance of molecular (diatomic) hydrogen gas in the Interstellar Medium, which can only be understood if catalysis on dust grains is the dominant formation avenue.
- The temperature of interstellar HI (neutral atomic hydrogen) and interstellar Molecular Hydrogen gas, in part a result of heating by photoelectrons emitted from interstellar grains.
" (end of quotation)
There are very many Remarkable ideas hidden in the above list,
e.g. that molecular hydrogen, which is the basic source material for the formation of new stars, forms on interstellar dust grains. Indeed, the interstellar gas can only get cold enough to contract into new stars when it is shielded from starlight by the interstellar dust in dense and dusty regions of galaxies.
Cheers,
Robert