### Abstract

The Hapke theory is used to calculate the emissivity of a semi-infinite layer of granular N_{2} ice with CH_{4} and CO as contaminants. It is assumed that the layer is composed of grains which can be characterized as having a single size, and that temperature gradients in the emitting layers of the surface are negligible. The emission spectrum for β-N_{2}, stable above 35.6 K, results from a very broad peak in the absorption spectrum centered at 154 μm, while two absorption peaks, at 143 and 204 μm, produce the emission spectrum of the lower temperature α-N_{2} phase. For a grain size of 1 cm the Planck-mean bolometric emissivity calculated for the pure β-N_{2} ice is 0.85. If the effective N_{2} grain size is 1 mm the emissivity is 0.40. Both are low enough to significantly affect surface energy balance calculations. The very narrow absorption features of α-N_{2} result in even smaller bolometric emissivities of only 0.11 and 0.30 for 1 mm and 1 cm grain sizes at 34 K. The effect of CH_{4} and CO, in solid solution with N_{2} or as separate, intimately mixed grains, on the emissivity is also estimated. It is found that the presence of either or both of these two molecules in solid solution with the N_{2} ice on Triton and Pluto only slightly increases the β-N_{2} emissivity. The emissivity of intimate mixtures of grains of CH_{4} and CO with N_{2} is much less certain, and probably much less applicable to Triton and Pluto. CH_{4} and CO in solid solution with α-N_{2} increase the emissivity by about 50%. For an α-N_{2} grain size of 1 cm, the addition of 2% each CH_{4} and CO in solid solution with the N_{2} increases the emissivity from 0.30 to 0.48 at 34 K. For a 1 mm grain size the emissivity of such a solid solution changes to 0.16 from 0.11. However, the emissivity of α-N_{2} even with CH_{4} and/or CO in solution is still considerably lower than for β-N_{2}. Seasonal variations on Triton and Pluto could be strongly influenced by this emissivity contrast between the α and β phases. In the extreme case of pure N_{2} ice, Pluto's atmosphere could be prevented from freezing out, even at aphelion.

Original language | English (US) |
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Pages (from-to) | 945-955 |

Number of pages | 11 |

Journal | Planetary and Space Science |

Volume | 44 |

Issue number | 9 |

DOIs | |

State | Published - Sep 1996 |

Externally published | Yes |

### ASJC Scopus subject areas

- Astronomy and Astrophysics
- Space and Planetary Science

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## Cite this

*Planetary and Space Science*,

*44*(9), 945-955. https://doi.org/10.1016/0032-0633(96)00001-3