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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Astron. Space Sci.</journal-id>
<journal-title>Frontiers in Astronomy and Space Sciences</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Astron. Space Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-987X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">868519</article-id>
<article-id pub-id-type="doi">10.3389/fspas.2022.868519</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Astronomy and Space Sciences</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Photovoltaics-Driven Power Production Can Support Human Exploration on Mars</article-title>
<alt-title alt-title-type="left-running-head">Abel et&#xa0;al.</alt-title>
<alt-title alt-title-type="right-running-head">Photovoltaics-Driven Power Production on Mars</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Abel</surname>
<given-names>Anthony J.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1350752/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Berliner</surname>
<given-names>Aaron J.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1163704/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Mirkovic</surname>
<given-names>Mia</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Collins</surname>
<given-names>William D.</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Arkin</surname>
<given-names>Adam P.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/188947/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Clark</surname>
<given-names>Douglas S.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff8">
<sup>8</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1400097/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Center for the Utilization of Biological Engineering in Space (CUBES)</institution>, <addr-line>Berkeley</addr-line>, <addr-line>CA</addr-line>, <country>United States</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Chemical and Biomolecular Engineering</institution>, <institution>University of California, Berkeley</institution>, <addr-line>Berkeley</addr-line>, <addr-line>CA</addr-line>, <country>United States</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Bioengineering</institution>, <institution>University of California, Berkeley</institution>, <addr-line>Berkeley</addr-line>, <addr-line>CA</addr-line>, <country>United States</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Department of Electrical Engineering and Computer Sciences</institution>, <institution>University of California, Berkeley</institution>, <addr-line>Berkeley</addr-line>, <addr-line>CA</addr-line>, <country>United States</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Climate and Ecosystems Sciences Division</institution>, <institution>Lawrence Berkeley National Laboratory</institution>, <addr-line>Berkeley</addr-line>, <addr-line>CA</addr-line>, <country>United States</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Department of Earth and Planetary Sciences</institution>, <institution>University of California, Berkeley</institution>, <addr-line>Berkeley</addr-line>, <addr-line>CA</addr-line>, <country>United States</country>
</aff>
<aff id="aff7">
<sup>7</sup>
<institution>Environmental Genomics and Systems Biology Division</institution>, <institution>Lawrence Berkeley National Laboratory</institution>, <addr-line>Berkeley</addr-line>, <addr-line>CA</addr-line>, <country>United States</country>
</aff>
<aff id="aff8">
<sup>8</sup>
<institution>Molecular Biophysics and Integrated Bioimaging Division</institution>, <institution>Lawrence Berkeley National Laboratory</institution>, <addr-line>Berkeley</addr-line>, <addr-line>CA</addr-line>, <country>United States</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1230253/overview">Malkeshkumar Patel</ext-link>, Incheon National University, South Korea</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/103559/overview">Josep M. Trigo-Rodr&#xed;guez</ext-link>, Spanish National Research Council (CSIC), Spain</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1709892/overview">Mohammad K Akbari</ext-link>, Ghent University, Belgium</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: William D. Collins, <email>wdcollins@lbl.gov</email> Adam P. Arkin, <email>aparkin@lbl.gov</email> Douglas S. Clark, <email>dsc@berkeley.edu</email>
</corresp>
<fn fn-type="equal" id="fn1">
<label>
<sup>&#x2020;</sup>
</label>
<p>These authors have contributed equally to this work</p>
</fn>
<fn fn-type="other">
<p>This article was submitted to Planetary Science, a section of the journal Frontiers in Astronomy and Space Sciences</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>27</day>
<month>04</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>9</volume>
<elocation-id>868519</elocation-id>
<history>
<date date-type="received">
<day>02</day>
<month>02</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>24</day>
<month>03</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Abel, Berliner, Mirkovic, Collins, Arkin and Clark.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Abel, Berliner, Mirkovic, Collins, Arkin and Clark</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>A central question surrounding possible human exploration of Mars is whether crewed missions can be supported by available technologies using <italic>in situ</italic> resources. Here, we show that photovoltaics-based power systems would be adequate and practical to sustain a crewed outpost for an extended period over a large fraction of the planet&#x2019;s surface. Climate data were integrated into a radiative transfer model to predict spectrally-resolved solar flux across the Martian surface. This informed detailed balance calculations for solar cell devices that identified optimal bandgap combinations for maximizing production capacity over a Martian year. We then quantified power systems, manufacturing, and agricultural demands for a six-person mission, which revealed that photovoltaics-based power generation would require <inline-formula id="inf1">
<mml:math id="m1">
<mml:mo>&#x3c;</mml:mo>
</mml:math>
</inline-formula>10&#xa0;t of carry-along mass, outperforming alternatives over &#x223c;50% of Mars&#x2019; surface.</p>
</abstract>
<kwd-group>
<kwd>photovoltaics</kwd>
<kwd>technoeconomic analysis</kwd>
<kwd>human exploration mission</kwd>
<kwd>mars</kwd>
<kwd>radiative transfer</kwd>
<kwd>climate model</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Aeronautics and Space Administration<named-content content-type="fundref-id">10.13039/100000104</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">National Science Foundation<named-content content-type="fundref-id">10.13039/100000001</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Long-duration space missions or continuously-occupied extraterrestrial outposts require Earth-independent power and chemical supply. Mars has an abundance of <italic>in situ</italic> resources, including (sub)surface water ice (<xref ref-type="bibr" rid="B21">Wilson&#xa0;et&#xa0;al.,&#xa0;2018</xref>) and carbon and nitrogen in atmospheric CO<sub>2</sub> and N<sub>2</sub> (<xref ref-type="bibr" rid="B20">Webster&#xa0;et&#xa0;al.,&#xa0;2013</xref>). Efficient conversion of these resources to reduced forms of hydrogen, nitrogen, and carbon would represent an enabling step towards sustaining a permanent human presence in space. In analogy to the proposed terrestrial &#x201c;Hydrogen Economy&#x201d;, molecular hydrogen (H<sub>2</sub>) can be used as a platform molecule for energy storage, on-demand power supply, and as a reactant driving CO<sub>2</sub> and N<sub>2</sub> (bio)chemical reduction on Mars (<xref ref-type="bibr" rid="B12">Marb&#xe1;n and Vald&#xe9;s-Sol&#xed;s,&#xa0;2007</xref>; <xref ref-type="bibr" rid="B2">Chen&#xa0;et&#xa0;al.,&#xa0;2018</xref>; <xref ref-type="bibr" rid="B1">Berliner&#xa0;et&#xa0;al.,&#xa0;2021</xref>). Water electrolysis with selective catalysts can drive water reduction to H<sub>2</sub> on cathode surfaces. This technology is attractive for space manufacturing applications since reactions can proceed at high rates at room temperature, enabling the use of low-weight, 3D-printable plastic reactors (<xref ref-type="bibr" rid="B1">Berliner&#xa0;et&#xa0;al.,&#xa0;2021</xref>). Commercial electrolyzerscan evolve H<sub>2</sub> from water with up to &#x223c;80% energy efficiency (<xref ref-type="bibr" rid="B18">Ursua&#xa0;et&#xa0;al.,&#xa0;2011</xref>). Directly solar-powered (i.e., photoelectrochemical (PEC)) devices have also received significant attention, with solar-to-chemical efficiencies reaching <inline-formula id="inf2">
<mml:math id="m2">
<mml:mo>&#x3e;</mml:mo>
</mml:math>
</inline-formula>19% for H<sub>2</sub> production (<xref ref-type="bibr" rid="B3">Cheng&#xa0;et&#xa0;al.,&#xa0;2018</xref>). Once generated, H<sub>2</sub> can drive N<sub>2</sub> reduction to ammonia via the Haber-Bosch process for crop fertilizer (<xref ref-type="bibr" rid="B1">Berliner&#xa0;et&#xa0;al.,&#xa0;2021</xref>), CO<sub>2</sub> reduction to CH<sub>4</sub> via the Sabatier process or methanogenesis for ascent propellant generation (<xref ref-type="bibr" rid="B14">Menezes&#xa0;et&#xa0;al.,&#xa0;2015</xref>), and CO<sub>2</sub> reduction to bioplastics following a variety of metabolic processes for habitat and spare parts manufacturing (<xref ref-type="bibr" rid="B15">Nangle&#xa0;et&#xa0;al.,&#xa0;2020</xref>; <xref ref-type="bibr" rid="B1">Berliner&#xa0;et&#xa0;al.,&#xa0;2021</xref>).</p>
<p>The primary alternatives for powering life support systems and chemical production facilities on Mars are miniaturized nuclear fission reactors (<xref ref-type="bibr" rid="B5">Drake&#xa0;et&#xa0;al.,&#xa0;2010</xref>) and photovoltaic (PV) arrays. While fission reactors are expected to behave similarly regardless of their location, the productivity limits of PV and photoelectrochemical devices are not well-characterized for the Martian surface mainly due to differences in the surface temperature and solar intensity and spectrum from typical conditions on Earth or in space.</p>
<p>In an effort to determine the potential of PV and PEC devices to support a crewed mission to Mars, we integrated relevant climate data from the Mars Climate Database (<xref ref-type="bibr" rid="B16">Read&#xa0;et&#xa0;al.,&#xa0;1997</xref>) into a radiative transfer model, libRadtran (<xref ref-type="bibr" rid="B13">Mayer and Kylling,&#xa0;2005</xref>), to predict spectrally-resolved solar flux across the Martian surface over the course of a year. The modeling overview and sample calculations for Jezero Crater are provided in <xref ref-type="fig" rid="F1">Figure&#xa0;1</xref>. Sunlight incident on the surface originating from the top of the atmosphere (TOA) is mediated by orbital geometry and local atmospheric composition of gases, ice, and dust for a given location (<xref ref-type="fig" rid="F1">Figure&#xa0;1A</xref>). We determined the partial pressures of constituent gases (<xref ref-type="fig" rid="F1">Figure&#xa0;1B</xref>) and the concentrations and effective radii of ice (<xref ref-type="fig" rid="F1">Figure&#xa0;1C</xref>) and dust (<xref ref-type="fig" rid="F1">Figure&#xa0;1D</xref>) particles as a function of altitude above the surface and provided these data as inputs to a downstream radiative transfer model (diagrammed in <xref ref-type="fig" rid="F1">Figure&#xa0;1E</xref>). We then calculated the spectrally-resolved solar flux (<xref ref-type="fig" rid="F1">Figure&#xa0;1F</xref>). At short wavelengths (<inline-formula id="inf3">
<mml:math id="m3">
<mml:mo>&#x3c;</mml:mo>
</mml:math>
</inline-formula>400&#xa0;nm), light transmission through the atmosphere is limited by molecular scattering (primarily by CO<sub>2</sub>) and scattering from dust particles (<xref ref-type="bibr" rid="B19">Vicente-Retortillo&#xa0;et&#xa0;al.,&#xa0;2015</xref>). Scattering and absorption by gas molecules is significant at wavelengths below 300&#xa0;nm, but this region is not considered here because it represents a very small fraction of the available solar flux (<inline-formula id="inf4">
<mml:math id="m4">
<mml:mo>&#x3c;</mml:mo>
</mml:math>
</inline-formula>0.5%). Above 400&#xa0;nm, most transmission loss is due to scattering from dust particles. This is markedly different from the case on Earth, where significant molecular absorption by water molecules limits the transmission of near-infrared light.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Overview and calculation of spectral flux using atmospheric data. <bold>(A)</bold> Sunlight incident on the solar cells is mediated by orbital geometry and local atmospheric composition of gases, ice, and dust. <bold>(B,C, and D)</bold> Temperature, partial pressure of atmospheric gases and concentration and effective radii of ice and dust particles as a function of altitude above the surface. <bold>(E)</bold> Information flow in the calculation scheme. Dotted lines represent functions used for calculations; solid lines represent data used as parameters. MCD, Mars Climate Database; LRT, LibRadtran. <bold>(F)</bold> Total (black), direct (blue), and diffuse (red) solar flux at Jezero Crater at solar noon averaged over the course of a typical Martian year. In <bold>(B)</bold>, <bold>(C)</bold>, <bold>(D)</bold>, and <bold>(F)</bold>, solid lines represent yearly averages and shaded regions represent the standard deviation due to seasonal variation.</p>
</caption>
<graphic xlink:href="fspas-09-868519-g001.tif"/>
</fig>
</sec>
<sec sec-type="results" id="s2">
<title>Results</title>
<p>The modeling results were used to inform efficiency calculations for PV and PEC devices producing electricity and H<sub>2</sub>. Detailed balance calculations (section&#xa0;4 in the Supplementary Information) (<xref ref-type="bibr" rid="B4">D&#xf6;scher&#xa0;et&#xa0;al.,&#xa0;2014</xref>; <xref ref-type="bibr" rid="B7">Hanna and Nozik,&#xa0;2006</xref>) revealed ideal current-voltage characteristics for optically-thick devices consisting of 1-, 2-, and 3- junction PV and 1- and 2-junction PEC absorbers dependent on the bandgaps associated with each absorber (<xref ref-type="fig" rid="F2">Figure&#xa0;2</xref>). Absorber numbers were selected to represent historical choices for PV devices on Martian rovers (<xref ref-type="bibr" rid="B11">Landis,&#xa0;2005</xref>; <xref ref-type="bibr" rid="B17">Stella&#xa0;et&#xa0;al.,&#xa0;2005</xref>) and state-of-the-art PEC devices (<xref ref-type="bibr" rid="B9">Jia&#xa0;et&#xa0;al.,&#xa0;2016</xref>; <xref ref-type="bibr" rid="B22">Young&#xa0;et&#xa0;al.,&#xa0;2017</xref>; <xref ref-type="bibr" rid="B3">Cheng&#xa0;et&#xa0;al.,&#xa0;2018</xref>). For PEC devices, we assumed an electrical load consisting of the thermodynamic redox potential and a variable overvoltage term that incorporates loss mechanisms inevitable to a practical PEC device beyond radiative recombination already considered in the detailed balance (<xref ref-type="bibr" rid="B7">Hanna and Nozik, 2006</xref>; <xref ref-type="bibr" rid="B4">D&#xf6;scher et al., 2014</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Theoretical efficiencies of PV and PEC devices. Detailed-balance efficiency limits as a function of bandgap energies for <bold>(A)</bold> single-junction, <bold>(B)</bold> two-junction, <bold>(C)</bold> three-junction photovoltaic devices. <bold>(D and E)</bold> Solar-to-chemical (STC) efficiency for two-junction water splitting PEC devices producing molecular hydrogen with 0&#xa0;mV (D) and 700&#xa0;mV (E) overvoltage. <bold>(F)</bold> STC efficiency and optimal bandgaps for two-junction H<sub>2</sub>-generating PEC devices as a function of overvoltage. Coloring in <bold>(A)</bold> and <bold>(F)</bold> correspond to contour coloring in <bold>(B,C)</bold> and <bold>(D,E)</bold> respectively. Average flux at solar noon at Jezero Crater is used as the reference solar spectrum.</p>
</caption>
<graphic xlink:href="fspas-09-868519-g002.tif"/>
</fig>
<p>The maximum efficiency for PV devices increases from 31.4% (1-junction; <italic>E</italic>
<sub>
<italic>g</italic>
</sub> &#x3d; 1.23&#xa0;eV) to 51.3% (3-junction; <italic>Eg</italic>, 1 &#x3d; 1.77&#xa0;eV, <italic>E</italic>
<sub>
<italic>g</italic>,2</sub> &#x3d; 1.16&#xa0;eV, <italic>E</italic>
<sub>
<italic>g</italic>,3</sub> &#x3d; 0.72&#xa0;eV) with judicious choice of bandgaps (<xref ref-type="fig" rid="F2">Figures&#xa0;2A&#x2013;C</xref>). For PEC devices, optimal bandgap choice and efficiency are strongly dependent on system losses (<xref ref-type="fig" rid="F2">Figures&#xa0;2D&#x2013;F</xref>), reflecting the importance of careful device construction and catalyst selection (<xref ref-type="bibr" rid="B8">Hu&#xa0;et&#xa0;al.,&#xa0;2013</xref>). For a realistic overvoltage loss of 700&#xa0;mV (<xref ref-type="bibr" rid="B7">Hanna and Nozik,&#xa0;2006</xref>; <xref ref-type="bibr" rid="B8">Hu&#xa0;et&#xa0;al.,&#xa0;2013</xref>; <xref ref-type="bibr" rid="B4">D&#xf6;scher&#xa0;et&#xa0;al.,&#xa0;2014</xref>), a maximum solar-to-chemical conversion (SCC) efficiency of 27.8% is feasible for H<sub>2</sub> production.</p>
<p>To evaluate the potential for solar cells to supply power and commodity chemicals, we determined the maximum practical production capacity for 3-junction PV (operating at 80% of the detailed balance limit) and 2-junction PEC devices (with a 700-mV overvoltage) over the course of a Martian year (<xref ref-type="fig" rid="F3">Figure&#xa0;3</xref>). Daily and seasonal variation in solar flux and temperature (<xref ref-type="fig" rid="F3">Figures&#xa0;3A,B</xref>) cause substantial (&#x223c;27% deviation from the yearly average) changes in production rates (<xref ref-type="fig" rid="F3">Figures&#xa0;3C,D</xref>). We defined solar day (sol) 0 at a solar longitude (Ls) of 0&#xb0; (vernal equinox) and assumed the solar cell operating temperature was equal to the surface temperature at all points. Dust storm season begins at sol &#x223c;372 (Ls<inline-formula id="inf5">
<mml:math id="m5">
<mml:mo>&#x223c;</mml:mo>
<mml:mn>180</mml:mn>
<mml:mo>&#xb0;</mml:mo>
</mml:math>
</inline-formula>) and is primarily responsible for the drop in production capacity from a peak of &#x223c;1.7&#xa0;kWh/m<sup>2</sup>/day at Jezero Crater to a minimum of &#x223c;1.0&#xa0;kWh/m<sup>2</sup>/day at the height of dust storm intensity around the winter solstice (Ls <inline-formula id="inf6">
<mml:math id="m6">
<mml:mo>&#x223c;</mml:mo>
<mml:mn>270</mml:mn>
<mml:mo>&#xb0;</mml:mo>
</mml:math>
</inline-formula>, sol &#x223c;514).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>PV and PEC production rates. <bold>(A)</bold> Average and <bold>(B)</bold> daily maximum solar flux (black, left axis) and surface temperature (purple, right axis) as function of <bold>(A)</bold> time of day and <bold>(B)</bold> time of year. <bold>(C,E)</bold> average and <bold>(D,F)</bold> daily maximum production capacity of power <bold>(C,D)</bold> and H<sub>2</sub> <bold>(E,F)</bold> using 3-junction PV and 2-junction PEC cells as described in the main text. Solid lines in <bold>(A,C,E)</bold> correspond to averages; shaded areas represent the standard deviation due to seasonal variation. Jezero Crater is used as the location for plots.</p>
</caption>
<graphic xlink:href="fspas-09-868519-g003.tif"/>
</fig>
<p>Bandgap combinations that maximize production over the course of a year are 5&#x2013;15% different from those that optimize efficiency at solar noon (<xref ref-type="sec" rid="s9">Supplementary&#xa0;Table&#xa0;S7</xref>). For both PV and PEC devices, the top junction bandgap shifted up (for H<sub>2</sub>-generating PEC devices, from 1.64 to 1.77&#xa0;eV), while the bottom junction bandgap shifted down (from 0.95 to 0.83&#xa0;eV). Hence, the photon absorption window for the bottom junction is broadened (by &#x223c;35% for the PEC device). This likely works to maximize productivity during the less dusty season (higher solar flux, <xref ref-type="fig" rid="F3">Figure&#xa0;3B</xref>) by accounting for the relative blue-shift of surface-incident light (<xref ref-type="fig" rid="F1">Figure&#xa0;1F</xref>) due to reduced scattering.</p>
</sec>
<sec sec-type="discussion" id="s3">
<title>Discussion</title>
<p>Production capacity of power and commodity chemicals must compare favorably to the demand necessary to sustain a Martian habitat and depends on the outpost location on the planet surface (<xref ref-type="fig" rid="F4">Figure&#xa0;4A</xref>). Moreover, energy storage capacity is crucial for solar-powered production systems because the Sun sets daily. We therefore developed a detailed process model to account for power systems demands, including habitat maintenance (for example, habitat temperature control and pressurization), fertilizer production for agriculture, methane production for ascent propellant, and bioplastics production for spare parts manufacturing (<xref ref-type="sec" rid="s9">Supplementary&#xa0;Figure&#xa0;S12</xref>). We considered four different power generation scenarios: 1) nuclear power generation with the miniaturized nuclear fission Kilopower system; 2) PV power generation with battery energy storage (PV &#x2b; B); 3) PV power generation with compressed H<sub>2</sub> energy storage produced via electrolysis (PV &#x2b; E); and 4) PEC H<sub>2</sub> generation with compressed H<sub>2</sub> energy storage (PEC). In our calculations, we assumed a capacity factor of 75% to account for the solar flux deviation throughout the Martian year (<xref ref-type="fig" rid="F3">Figure&#xa0;3</xref>) and sized energy storage systems (batteries or compressed H<sub>2</sub>) to enable 1 full day of operations from reserve power. We then calculated the carry-along mass requirements for each of the power generation systems considered.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Solar productivity across the Martian surface. <bold>(A)</bold> Average daily solar power production capacity across the Martian surface. <bold>(B)</bold> Total carry-along mass required for power production using the PV &#x2b; E generation system. Black dashed line corresponds to breakeven location with nuclear power generation. <bold>(C)</bold> Carry-along mass breakdown for locations in <bold>(B)</bold> for each power generation option. Black dashed line corresponds to breakeven with nuclear power generation. Optimal <bold>(D)</bold> top, <bold>(E)</bold> middle, <bold>(F)</bold> bottom bandgaps for the 3-junction PV array.</p>
</caption>
<graphic xlink:href="fspas-09-868519-g004.tif"/>
</fig>
<p>Of the three solar-driven power generation options, only the PV &#x2b; E system outcompetes the nuclear system based on carry-along mass (<xref ref-type="fig" rid="F4">Figures&#xa0;4B,C</xref>; <xref ref-type="sec" rid="s9">Supplementary&#xa0;Figure&#xa0;S13</xref>). For the PV &#x2b; E system, the total carry-along mass increases from &#x223c;8.3&#xa0;t near the equator to &#x223c;22.4&#xa0;t near the South Pole (<xref ref-type="fig" rid="F4">Figure&#xa0;4B</xref>), corresponding to the reduced average daily power generation of the PV array as the latitude is adjusted away from 0&#xb0; (<xref ref-type="fig" rid="F4">Figure&#xa0;4A</xref>). The nuclear power system is predicted to require &#x223c;9.5&#xa0;t; hence, the PV &#x2b; E system out-performs this option across &#x223c;50% of the planet&#x2019;s surface (<xref ref-type="fig" rid="F4">Figure&#xa0;4B</xref>).</p>
<p>In addition to predicting production capacity and carry-along mass, our model provides design rules for optimal solar cell design. Optimal absorber bandgaps for the PV array are strongly dependent on the location on the surface of Mars (<xref ref-type="fig" rid="F4">Figures&#xa0;4D&#x2013;F</xref>). Several factors cause this variation: the total depth of the air column above a given location (i.e., the difference between the height of the atmosphere and the altitude), gradients in dust and ice concentrations and particle radii, and orbital geometry effects that cause different effective air column thicknesses for locations near the poles. Lower elevations, higher dust and/or ice concentrations, and increasing distance away from the equator (near-polar latitudes) all cause an increase in the optical depth of the air column, which enhances the fraction of light that is scattered. Because the spectrum of scattered light is slightly red-shifted with respect to direct light (<xref ref-type="fig" rid="F1">Figure&#xa0;1F</xref>), optimal bandgaps decrease to capture more lower-energy photons (<xref ref-type="fig" rid="F4">Figures&#xa0;4D&#x2013;F</xref>) in regions where the optical depth is higher. For example, at equivalent latitudes, the optimal bandgaps are wider for regions with higher elevations than for those with lower elevations because the fraction of light that gets scattered is lower. Regional differences in atmospheric conditions can drive countervailing effects; because the Northern Hemisphere experiences generally lower dust concentrations than the Southern Hemisphere, the lower elevation in the Northern Hemisphere does not result in (on average) narrower optimal bandgaps. Instead, the reduced dust concentration (relative to that of the Southern Hemisphere) results in a reduced optical depth, resulting in wider optimal bandgap combinations (<xref ref-type="fig" rid="F4">Figures&#xa0;4D&#x2013;F</xref>). In sum, optimal bandgaps for the top absorber range from &#x223c;1.7&#xa0;eV to &#x223c;1.84&#xa0;eV (<xref ref-type="fig" rid="F4">Figure&#xa0;4D</xref>), from &#x223c;1.08&#xa0;eV to &#x223c;1.27&#xa0;eV for the middle absorber (<xref ref-type="fig" rid="F4">Figure&#xa0;4E</xref>), and from &#x223c;0.64&#xa0;eV to &#x223c;0.85&#xa0;eV for the bottom absorber (<xref ref-type="fig" rid="F4">Figure&#xa0;4F</xref>). Optimized triple-junction solar cells could be fabricated from, for example, GaInAsP alloys on Ge substrates with minimal lattice mismatch (<inline-formula id="inf7">
<mml:math id="m7">
<mml:mo>&#x3c;</mml:mo>
<mml:mo>&#x223c;</mml:mo>
</mml:math>
</inline-formula>1%) (<xref ref-type="bibr" rid="B22">Young&#xa0;et&#xa0;al.,&#xa0;2017</xref>) or by utilizing compositionally graded buffer layers to minimize threading dislocations (<xref ref-type="bibr" rid="B10">Kidd&#xa0;et&#xa0;al.,&#xa0;1996</xref>). These strategies have been deployed previously with success in high-efficiency triple junction device architectures (<xref ref-type="bibr" rid="B6">Geisz&#xa0;et&#xa0;al.,&#xa0;2007</xref>).</p>
<p>In conclusion, solar cell arrays with careful attention to semiconductor choice and device construction represent a promising technology for sustaining an Earth-independent crewed habitat on Mars. Our analysis provides design rules for solar cells on the Martian surface and shows that solar cells can offer substantial reduction in carry-along mass requirements compared to alternative technology over a large fraction of the planet&#x2019;s surface.</p>
</sec>
</body>
<back>
<sec id="s4">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s5">
<title>Author Contributions</title>
<p>Conceptualization: AJA, AJB. Data curation: AJB, AJA. Funding acquisition: AJB, AJA, APA, DSC. Methodology: AJA, AJB, WDC. Software: AJB, AJA, MM. Supervision: WDC, APA, DSC. Visualization: AJA, AJB. Writing original draft: AJA, AJB. Writing review; editing: AJA, AJB, MM, WDC, APA, DSC.</p>
</sec>
<sec id="s6">
<title>Funding</title>
<p>Funding was provided by the National Aeronautics and Space Administration (grant NNX17AJ31G for AJB, APA, DC) and National Science Foundation graduate research fellowship program (grant DGE1752814 for AJA, AJB).</p>
</sec>
<sec sec-type="COI-statement" id="s7">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s8">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ack>
<p>We thank Henning D&#xf6;scher (Fraunhofer ISI) and Todd Deutsch (NREL) for advice on solar cell device modeling, Marisa Watanabe for advice on data representation, Aymeric Spiga (LMD) for assistance with the Mars Climate Database, Claudia Emde (LMU) for assistance with the libRadtran library. This research used the Savio computational cluster resource provided by the Berkeley Research Computing program at UC Berkeley (supported by the UC Berkeley Chancellor, Vice Chancellor for Research, and Chief Information Officer).</p>
</ack>
<sec id="s9">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fspas.2022.868519/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fspas.2022.868519/full&#x23;supplementary-material</ext-link>
<ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fspas.2022.868519/full#supplementary-material"/>
</p>
<supplementary-material xlink:href="DataSheet1.PDF" id="SM1" mimetype="application/PDF" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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