Titan has a diverse range of materials in its atmosphere and on its surface: the simple organics that reside in various phases (gas, liquid, and ice) and the solid complex refractory organics that form Titan’s haze layers. These materials all actively participate in various physical processes on Titan, and many material properties are found to be important in shaping these processes. Future in situ explorations on Titan would likely encounter a range of materials, and a comprehensive database to archive the material properties of all possible material candidates will be needed. Here, we summarize several important material properties of the organic liquids, ices, and the refractory hazes on Titan that are available in the literature and/or that we have computed. These properties include thermodynamic properties (phase-change points, sublimation and vaporization saturation vapor pressure, and latent heat), and physical properties (organic liquid densities and organic ice and haze densities). We have developed a new database to provide a repository for these data and make them available to the science community. These data can be used as inputs for various theoretical models to interpret current and future remote sensing and in situ atmospheric and surface measurements on Titan. The material properties of the simple organics may also be applicable to giant planets and icy bodies in the outer solar system, interstellar medium, protoplanetary disks, and exoplanets.
Titan has a diverse range of materials in its atmosphere and on its surface: the simple organics that reside in various phases (gas, liquid, ice) and the solid complex refractory organics that form Titan's haze layers. These materials all actively participate in various physical processes on Titan, and many material properties are found to be important in shaping these processes. Future in-situ exploration on Titan would likely encounter a range of materials, and a comprehensive database to archive the material properties of all possible material candidates will be needed. Here we summarize several important material properties of the organic liquids, ices, and the refractory hazes on Titan that are available in the literature and/or that we have computed. These properties include thermodynamic properties (phase change points, sublimation and vaporization saturation vapor pressure, and latent heat), physical property (density), and surface properties (liquid surface tensions and solid surface energies). We have developed a new database to provide a repository for these data and make them available to the science community. These data can be used as inputs for various theoretical models to interpret current and future remote sensing and in-situ atmospheric and surface measurements on Titan. The material properties of the simple organics may also
<p class="p1"><span class="s1">The photochemical haze produced in the atmosphere of Titan plays a key role in various processes happening on Titan (H&#246;rst, 2017). One of the physical properties of the haze, the surface energy, is crucial for understanding the growth of the solid haze particles and can be used to predict their interactions with solid and liquid species in Titan&#8217;s atmosphere and lakes. However, the surface energy of Titan&#8217;s haze is not well understood. We produced Titan analog haze materials, so-called "tholin", with different energy sources and measured their surface energies through contact angle and direct force measurements (Yu X. et al., 2020, <em>in revision</em>). From the contact angle measurement, we found that the tholins produced by cold plasma and UV irradiation have similar total surface energy. The commonly used two-liquid component method yields a total surface energy of tholin of </span><span class="s2">&#8764;</span><span class="s1">65&#8211;70 mJ/m. The direct force measurement yields a total surface energy of </span><span class="s2">&#8764;</span><span class="s1">66 mJ/m</span><span class="s3">2 </span><span class="s1">for plasma tholin. </span></p> <p class="p1"><span class="s1"><img src="data:image/jpeg;base64, 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
<p>Titan is a dynamic world with a unique N2-CH4 atmosphere where photochemistry is actively converting nitrogen and methane into organic hydrocarbon and nitrile molecules such as C2H6, C2H2, C3H8, C6H6, HCN, etc (Horst, 2017). These simple organic molecules could also further polymerize into more complex molecules and coagulate to form the refractory aerosols that make up Titan&#8217;s opaque haze layers. Observations from ground-based telescopes and spacecrafts have shown layers of clouds in Titan&#8217;s atmosphere and we have detected multiple hydrocarbon and nitrile compounds residing in the clouds, such as CH4, C2H6, C6H6, HCN, C4N2, HC3N (e.g., Anderson et al., 2018). The discovery of Titan&#8217;s clouds has made us wonder about their origin and formation and their role in Titan&#8217;s dynamics. The goal of this project is to provide a theoretical framework to better understand cloud formation on Titan through wetting and contact angle estimation. Many of the hydrocarbon and nitrile ice cloud species would remain solid when they fall onto Titan&#8217;s surface, so we also aim to study the interactions between these species and the surface of Titan&#8217;s lakes.</p> <p>We first determined the species that are condensable in Titan&#8217;s atmosphere by plotting their condensation curves and the temperature profile of Titan. We found that CH4, C2H6, C2H2, C3H4, C3H6, C4H2, C6H6, C2N2, C4N2, HCN, and HC3N are able to condense into ice clouds and C3H8 are able to condense into liquid clouds. The refractory solid aerosols in Titan&#8217;s atmosphere are proposed to be cloud seeds for the observed cloud species. The surface energy of Titan&#8217;s aerosol analog &#8220;tholin&#8221; has been determined previously (Yu et al., 2017, in revision), which enabled us to estimate the liquid-solid/ice-solid contact angle between the potential cloud condenses and Titan&#8217;s aerosol. With the surface tension of the liquid cloud condensate (C3H8) and the surface energy of the solid cloud condensates (CH4, C2H6, C2H2, C3H4, C3H6, C4H2, C6H6, C2N2, C4N2, HCN), we found that the contact angle between all the organic condensates (solid CH4, C2H6, C2H2, C3H4, C3H6, C4H2, C6H6, C2N2, C4N2, HCN, and HC3N and liquid C3H8) and the aerosols are all relatively small (<35 degree). This indicates that Titan&#8217;s aerosols are easily wettable by the cloud condensates and are thus good cloud seeds for most simple hydrocarbon and nitrile clouds in Titan&#8217;s atmosphere. We also found small contact angles between solid organic species and the Titan lakes (a mixture of methane/ethane/nitrogen) before they fall into the lakes (assuming they are not soluble in the lakes), which means that these organic are likely unable to float on Titan&#8217;s lakes to damp the surface waves.</p> <p><img src="data:image/png;base64, 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