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For the temperature profile computation, we treated the molecular opacity using the k-coefficient method [R. Goody, R. West, L. Chen, D. Crisp, J. Quant. Spectrosc. Radiat. Transfer 42, 539 (1989)]. After a radiative-equilibrium temperature profile was found, we iteratively adjusted the atmosphere to self-consistently solve for the size of the convection zones, given the specified internal heat flux. Given the radiative-convective temperature-pressure profiles, we generated high-resolution synthetic spectra by solving the radiative transfer equation [P. Bergeron, F. Wesemael, G. Fontaine, Astrophys. J. 367, 253 (1991)]. Eighteen thousand frequency points were used in the spectral region from 1 to 15.4 μm. These spectra were smoothed with a Gaussian-bandpass filter giving a final resolution of λ/Δλ = 600.
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note
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D.S. is a Hubble Fellow. T.G. is supported by the European Space Agency. This research was supported by grants from NASA and NSF. We thank T. Geballe for digital versions of the GI 229 B spectrum, K. Lodders for chemical-equilibrium calculations, and K. Zahnle for an insightful review.
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