Abstract
Analytical approximations used often in the literature for calculating energy rates emitted by dust grains in infrared are discussed. Comparisons with correct complete formulations are made for three grain models: (1) pure graphite, (2) ice mantle-graphite core, (3) silicates. λ-1 and λ-1 dependences for the average effective emissivity of such grains are used. We find that for silicate and graphite grains the simplified approximations are valid only when accuracies between 10% and 50% are required and only for grain temperatures higher than 80 K. At lower temperatures the validity of the approximations fails for the graphite particle while it is variable for the silicate dust grain. The ice core mantle particles can instead be treated with approximated formulae without introducing appreciable errors.
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Bussoletti, E., Borghesi, A., Leggieri, G. et al. Considerations about the absorption efficiency of dust particles in the infrared. Astrophys Space Sci 34, 191–197 (1975). https://doi.org/10.1007/BF00646759
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DOI: https://doi.org/10.1007/BF00646759