Considerations of Clumpiness for the Free-Free Radio Spectra of Compact HII Regions

Astronomy and Astrophysics – Astronomy

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Scientific paper

Considering a uniform spherical clump of gas, we derive analytically the free-free emission from a single isolated cloud. Such a clump produces a radio continuum spectrum with a power-law slope (Fν ∝ ν α ) that varies from +2 when optically thick (low frequency) to -0.11 when optically thin (high frequency). Ignoring the effects of shadowing, the spectrum from an ensemble of such clumps is governed solely by their optical depth distribution. In some circumstances a power-law slope that is intermediate between +2 and -0.11 can persist over a significant bandwidth in frequency. We apply our model to reproduce successfully the radio spectrum of the hypercompact HII region W49N-B2, which exhibits a continuum slope of α ≈ +0.9 between 3.3 mm and 13 mm.
This research has been supported by NSF grants AST-9986548 and AST-0241493.

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