Planck mean opacities per gram gas as a function of the radiation temperature T_∗ of the stellar photosphere as used in the RT step of the hybrid radiation transport scheme in Kuiper et al. (2010a, 2011) and in this paper. The upper horizontal axis shows the mass of the proto-star, which corresponds to the stellar surface temperature T_∗, taken from the Hosokawa & Omukai (2009) evolutionary track for a constant accretion rate of Ṁ = 10^-3   M_⊙   yr^-1.