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Coupled hydrogen--helium Saha equations

Writing

F = n_{e} / n_{B}

couples the two equilibrium equations:

F \frac{X _{H^{+}}}{1 - X _{H^{+}}} = K (T) e^{- I_{H} / (k_{B} T)}, F \frac{X _{H e^{+}}}{1 - X _{H e^{+}}} = 2 K (T) e^{- I_{He} / (k_{B} T)} .

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