Isotope ratios manifest escape of the atmosphere to space and thus evolution of the climate through time, because lighter isotopes are removed from the atmosphere at a faster rate than heavier isotopes. Therefore, atmospheres experiencing extensive loss are enriched in the heavier isotopes of escaping elements. This occurs because the upper atmosphere, the reservoir of gas which escapes to space, is enriched in lighter isotopes due to diffusive separation and lighter isotopes have smaller escape energies. The Mars Atmosphere and Volatile EvolutioN (MAVEN) Neutral Gas and Ion Mass Spectrometer (NGIMS) measures the abundances of a number of molecular isotopologues, enabling an investigation of isotope ratios in the upper atmosphere of Mars.[1,2]
Using NGIMS data, we investigate both the magnitude and variation of isotope ratios in the upper atmosphere of Mars. The isotope ratios measured in this region of the atmosphere vary due to a number of processes in addition to atmospheric escape, such as diffusive separation, atmospheric transport, condensation, and photochemistry. MAVEN NGIMS has now collected thousands of vertical profiles of major isotope ratios, such as those of oxygen and carbon, over a wide range of atmospheric conditions: over the entire Martian day, across most latitudes, and through the seasons of multiple Mars years.
An isotope ratio is obtained from the NGIMS data by calculating the ratio of detector count rates in two mass per charge (m/z) channels. Then, a δ value is calculated relative to typical references standards such as Vienna Pee Dee Belemnite or Vienna Standard Mean Ocean Water. Mean profiles of the isotope ratios are produced from sequential orbits to improve the signal-to-noise ratio. Individual orbit profiles are also binned on local time, latitude, and season, to produce maps of the variation of each of the ratios. Uncertainties in these measurements must be carefully calculated to validate the accuracy of the relatively small differences measured between the isotope ratios of Martian atmospheric species and the terrestrial reference standards.
The isotope ratios of C and O in CO2 are of interest because CO2 is the main atmospheric species and thus the predominant atmospheric reservoir of C and O atoms which may escape to space. In the upper atmosphere, above the homopause, the ratios of heavier isotopes to lighter isotopes decrease with height due to diffusive separation, because lighter species have larger scale heights than heavier species. The expected decrease with height of measured isotope ratios is observed, for example, in the δ13C ratio in CO2 measured by NGIMS using m/z channels 45, corresponding to 13C16O2, and 44 corresponding to 12C16O2 (Figure 1). In addition, significant variation of δ13C in CO2 is found with Martian local time (Figure 2). This trend follows the trend in temperature.[3] Where the atmosphere is cooler, δ13C is smaller, and where the atmosphere is warmer δ13C is larger. The observed trend can be explained by a process which begins with heating on the dayside, causing the upward transport from below of gas relatively enriched in the heavier isotope, followed by subsolar-to-antisolar flow and downwelling on the nightside, causing the downward transport from above of gas relatively enriched in the lighter isotope on the cooler nightside.
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)
Figure 1. A mean vertical profile of δ13C measured in CO2 relative to Vienna Pee Dee Belemnite (VPDB).
![](https://www.epsc2022.eu//_protected/abstractImages/291736-1-2.png)
Figure 2. The local time variation of δ13C in CO2 relative to Vienna Pee Dee Belemnite (VPDB).
Comparisons can be made between the MAVEN NGIMS measurements of the isotope ratios in the upper atmosphere and measurements of these isotope ratios in the lower, middle, and upper atmosphere collected by Sample Analysis at Mars (SAM) on the NASA Curiosity rover,[4-5] Nadir and Occulation for MArs Discovery (NOMAD) and Atmospheric Chemistry Suite (ACS) onboard the ESA Trace Gas Orbiter,[8] and the NASA Viking Upper Atmospheric Mass Spectrometers.[9] These comparisons provide opportunities for the validation of NGIMS observations and provide further insight into the processes affecting the magnitude and variation of these isotope ratios from the surface to the top of the atmosphere.
References
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