Mathematics – Logic
Scientific paper
Apr 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010ttt..work...20m&link_type=abstract
Through Time; A Workshop On Titan's Past, Present and Future, NASA Goddard Space Flight Center, April 6th - 8th, 2010. Edited b
Mathematics
Logic
Scientific paper
Current isotopic ratios in planetary atmospheres have played an important role in determining how that atmosphere has evolved over geologic time scales (e.g. Donahue et al. 1997, Lunine et al. 1999). The current 12C/13C ratio in methane is a particularly useful indicator of Titan's atmospheric evolutionary history (Mandt et al. 2009). Primordial 12C/13C ratios throughout the solar system are limited to 89.01+4.45-2.67. (Alexander et al. 2007, Martins et al. 2008), while the methane 12C/13C ratio measured by GCMS and CIRS are 82.3+/-1.0 and 76.6+/-2.7 respectively (Niemann et al. 2005, Nixon et al. 2008). This is well below the primordial range, suggesting fractionation of the isotopes by atmospheric processes. A number of atmospheric mass loss processes can fractionate the isotopes over geologic time scales. Photochemistry and escape are of particular importance (Donahue et al 1997, Mandt et al. 2009). Measurements of the 12C/13C ratios in C2 hydrocarbons show evidence of fractionation due to photochemistry (Nixon et al. 2008) that is most likely due to a kinetic isotope effect (KIE). A KIE is a mildly efficient fractionating process in which reactions involving 12C occur 1.04 times faster than reactions involving 13C. A moderate time scale, on the order of 50 to 400 million years, is required to change the 12C/13C ratio of the atmospheric methane inventory. The exact length of this time scale depends directly on the methane photochemical loss rate. Titan's photochemistry is extremely complex, and although the total photochemical loss rate is photon-limited (Lorenz et al. 1997), the literature provides a range of loss rates between 4.9 x 10^9 cm-2s-1 (Wilson and Atreya 2004) and 3.4 x 10^10 cm-2s-1 (Lebonnois et al. 2003). This range can alter the time scale for fractionation in the carbon isotopes by as much as a factor of 8. INMS measurements of the methane 12C/13C ratio in the upper atmosphere show that atmospheric escape is a more efficient fractionating process than photochemistry (Mandt et al. 2009). The literature provides a range of possible values for the methane escape rates that depend on the input parameters to upper atmospheric models (Bell et al. 2010). The escape rate of methane could be as little as 2.75 x 10^7 cm-2s-1 (de la Haye et al. 2007) or as great as 3.0 x 10^9 cm-2s-1 (Yelle et al. 2008). This range of loss rates can alter the time scale for fractionation by as much as a factor of 5. Although the photochemical fractionation is less efficient than the escape rate, variance in its value has a greater impact on the time required to fractionate the isotopes because the magnitude of the photochemical loss is much greater than that of the escape rate. Thus, a better quantification of both mass loss rates is key to understanding the evolutionary history of Titan's atmosphere.
Bell Jared
Mandt Kathleen
Mousis Olivier
Waite H. Jr. J..
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