An Introduction to Modern Astrophysics · Problem 11.4

The Interstellar Medium and Star Formation — Carroll & Ostlie

Physics — Astrophysics · paschen-series-continuum

Problem

The Paschen series of hydrogen (n=3n = 3) can contribute to the visible continuum for the Sun since the series limit occurs at 820.8 nm. However, it is the contribution from the H−\text{H}^- ion that dominates the formation of the continuum. Using the results of Problem 11.3, along with the Boltzmann equation, estimate the ratio of the number of H−\text{H}^- ions to hydrogen atoms in the n=3n = 3 state.

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