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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">745357</article-id>
<article-id pub-id-type="doi">10.3389/fspas.2021.745357</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Astronomy and Space Sciences</subject>
<subj-group>
<subject>Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>A Review of Observations of Molecular Ions in the Earth&#x2019;s Magnetosphere-Ionosphere System</article-title>
<alt-title alt-title-type="left-running-head">Lin and Ilie</alt-title>
<alt-title alt-title-type="right-running-head">The Observations of Molecular Ions</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Lin</surname>
<given-names>Mei-Yun</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1200097/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ilie</surname>
<given-names>Raluca</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/983320/overview"/>
</contrib>
</contrib-group>
<aff>
<institution>Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign</institution>, <addr-line>Urbana</addr-line>, <addr-line>IL</addr-line>, <country>United&#x20;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/159967/overview">Gian Luca Delzanno</ext-link>, Los Alamos National Laboratory (DOE), United&#x20;States</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/1424335/overview">Katherine Garcia-Sage</ext-link>, National Aeronautics and Space Administration, United&#x20;States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1218414/overview">Roger Varney</ext-link>, SRI International, United&#x20;States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Mei-Yun Lin, <email>mylin2@illinois.edu</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Space Physics, a section of the journal Frontiers in Astronomy and Space Sciences</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>04</day>
<month>01</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>8</volume>
<elocation-id>745357</elocation-id>
<history>
<date date-type="received">
<day>21</day>
<month>07</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>22</day>
<month>11</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Lin and Ilie.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Lin and Ilie</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&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>Ionospheric molecular ions, such as NO<sup>&#x2b;</sup>, <inline-formula id="inf1">
<mml:math id="m1">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
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<mml:mn>2</mml:mn>
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<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
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</mml:msubsup>
</mml:math>
</inline-formula> and <inline-formula id="inf2">
<mml:math id="m2">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
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</inline-formula>, are gravitationally bound, and are expected to undergo recombination to form a pair of neutral atoms, due to short dissociative recombination lifetime. Therefore, they are expected to be relatively cold in the Earth&#x2019;s atmosphere, compared with light ions such as H<sup>&#x2b;</sup> and He<sup>&#x2b;</sup>, or even heavier ions such as N<sup>&#x2b;</sup> or O<sup>&#x2b;</sup>. However, several spacecraft missions observed their presence in the high-altitude ionosphere and the magnetosphere, predominantly during the geomagnetically active times. This hints to the possibility that molecular ions have the ability to acquire sufficient energy in a very short time, and can be used as tracers of mass differentiated vertical transport to understand the mechanisms responsible for &#x201c;fast ionospheric outflow.&#x201d; In this letter, we review the observational data sets that reported on the abundances of molecular ions in the Earth&#x2019;s magnetosphere-ionosphere system, starting from their first observations by the Sputnik III mission, to the current Arase (ERG) satellite and Enhanced Polar Outflow Probe (e-POP) missions. The available data suggests that molecular ions are quite abundant in the lower atmosphere at all times, but are only seen in the high-altitude ionosphere and magnetosphere during the times of increased geomagnetic activity.</p>
</abstract>
<kwd-group>
<kwd>ionospheric outflow</kwd>
<kwd>molecular ions</kwd>
<kwd>cold plasma</kwd>
<kwd>heavy ions</kwd>
<kwd>polar wind</kwd>
</kwd-group>
<contract-sponsor id="cn001">Air Force Research Laboratory<named-content content-type="fundref-id">10.13039/100006602</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">National Aeronautics and Space Administration<named-content content-type="fundref-id">10.13039/100000104</named-content>
</contract-sponsor>
<contract-sponsor id="cn003">National Science Foundation<named-content content-type="fundref-id">10.13039/100000001</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Singly charged heavy ions observed in the magnetosphere, such as atomic N<sup>&#x2b;</sup> and O<sup>&#x2b;</sup>, and molecular <inline-formula id="inf3">
<mml:math id="m3">
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</inline-formula>, NO<sup>&#x2b;</sup>, and <inline-formula id="inf4">
<mml:math id="m4">
<mml:msubsup>
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</inline-formula> ions, are sourced from the Earth&#x2019;s ionosphere, and transported outward through the process of ionospheric escape. One of the main pathways of ionospheric loss is the polar wind, an ambipolar flow of plasma from the high-latitude ionosphere to the low pressure magnetosphere. This outflow (<xref ref-type="bibr" rid="B4">Axford and Hines, 1961</xref>; <xref ref-type="bibr" rid="B63">Shelley et&#x20;al., 1972</xref>; <xref ref-type="bibr" rid="B83">Yau et&#x20;al., 1991</xref>; <xref ref-type="bibr" rid="B44">Maggiolo et&#x20;al., 2006</xref>; <xref ref-type="bibr" rid="B56">Schunk and Nagy, 2009</xref>; <xref ref-type="bibr" rid="B41">Kronberg et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B34">Ilie and Liemohn, 2016</xref>; <xref ref-type="bibr" rid="B19">Glocer et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B43">Lin et&#x20;al., 2020</xref>) provides a pathway for atmospheric migration and escape at a rate that generally depends on solar extreme ultraviolet (EUV) photon flux striking the upper atmosphere, as well the electromagnetic driving from the solar wind. Therefore, heavy ions of ionospheric origin can be directed and further circulated into different regions of the magnetosphere: either on closed magnetic field lines (plasma sheet) where ions can potentially be returned to the ionosphere, or on open magnetic field lines (lobe region) directly connected to the interplanetary magnetic field where ions are lost to space (<xref ref-type="bibr" rid="B10">Christon et al., 1994</xref>; <xref ref-type="bibr" rid="B27">Haaland et&#x20;al., 2012a</xref>; <xref ref-type="bibr" rid="B25">Haaland et&#x20;al., 2012b</xref>; <xref ref-type="bibr" rid="B36">Ilie et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B78">Yamauchi, 2019</xref>). <xref ref-type="fig" rid="F1">Figure&#x20;1</xref> shows an illustration of polar wind ion species, which could be created by the photoionization with the neutral atmosphere (and other ion-neutral-electron chemical reactions) and accelerated along magnetic field&#x20;lines.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Diagram of relevant ionospheric species (H<sup>&#x2b;</sup>, He<sup>&#x2b;</sup>,O<sup>&#x2b;</sup>, N<sup>&#x2b;</sup>, <inline-formula id="inf5">
<mml:math id="m5">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>, NO<sup>&#x2b;</sup> and <inline-formula id="inf6">
<mml:math id="m6">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>) and electrons (e<sup>&#x2212;</sup>), with the forces they experience through the vertical transport: gravity (mg) and electromagnetic force (F<sub>
<italic>L</italic>
</sub>). Following the open magnetic field line (grey dashed line), the polar wind plasma transports along the magnetic flux tube (grey cone around the dashed grey line). This illustration shows only O and N<sub>2</sub> species only, although the neutral composition at low altitudes includes additional species (as discussed in <xref ref-type="sec" rid="s4">Section 4</xref>).</p>
</caption>
<graphic xlink:href="fspas-08-745357-g001.tif"/>
</fig>
<p>The dynamics leading to the ionospheric outflow of O<sup>&#x2b;</sup> ions, and the impact on the evolution of the Earth&#x2019;s magnetosphere-ionosphere system have been the subject of numerous studies (e.g., <xref ref-type="bibr" rid="B57">Schunk and Raitt, 1980</xref>; <xref ref-type="bibr" rid="B48">Mukai et&#x20;al., 1994</xref>; <xref ref-type="bibr" rid="B59">Schunk and Sojka, 1997</xref>; <xref ref-type="bibr" rid="B61">Seki et&#x20;al., 1998</xref>; <xref ref-type="bibr" rid="B15">Daglis et&#x20;al., 1999</xref>; <xref ref-type="bibr" rid="B47">Moore et&#x20;al., 1999</xref>; <xref ref-type="bibr" rid="B77">Winglee et&#x20;al., 2002</xref>; <xref ref-type="bibr" rid="B51">Nos&#xe9; et&#x20;al., 2005</xref>; <xref ref-type="bibr" rid="B5">Barakat and Schunk, 2006</xref>; <xref ref-type="bibr" rid="B79">Yau et&#x20;al., 2007</xref>; <xref ref-type="bibr" rid="B20">Glocer et&#x20;al., 2009</xref>; <xref ref-type="bibr" rid="B17">Garcia et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B18">Glocer et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B36">Ilie et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B35">Ilie et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B43">Lin et&#x20;al., 2020</xref>). In contrast, the transport and energization of molecular ions, in addition to that of N<sup>&#x2b;</sup> and O<sup>&#x2b;</sup> ions, have received less attention, most likely due to the scarcity of measurements.</p>
<p>It is known that <inline-formula id="inf7">
<mml:math id="m7">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
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</inline-formula>, NO<sup>&#x2b;</sup>, and <inline-formula id="inf8">
<mml:math id="m8">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
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</inline-formula> ions are the major ion populations in the ionospheric E and F layers, and primarily created through photoionization and ion-neutral-electron chemical reactions. These molecular ions maintain low energies due to their large masses and short dissociative recombination lifetimes with electrons, as they quickly form a pair of neutral atoms. In the F layer, the reaction rates of dissociative recombination of <inline-formula id="inf9">
<mml:math id="m9">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> and NO<sup>&#x2b;</sup> are approximately 10<sup>&#x2013;7</sup>&#xa0;cm<sup>&#x2212;3</sup>&#xa0;s<sup>&#x2212;1</sup>, while those of the charge exchange reactions to remove O<sup>&#x2b;</sup> are approximately 10<sup>&#x2212;11</sup>&#xa0;cm<sup>&#x2212;3</sup>&#xa0;s<sup>&#x2212;1</sup>. Despite the fact that the abundance of molecular ions decreases significantly in the F2 layer, multiple missions reported their presence throughout the magnetosphere-ionosphere system (<xref ref-type="bibr" rid="B70">Taylor, 1974</xref>; <xref ref-type="bibr" rid="B21">Grebowsky et&#x20;al., 1983</xref>; <xref ref-type="bibr" rid="B13">Craven et&#x20;al., 1985</xref>; <xref ref-type="bibr" rid="B40">Klecker et&#x20;al., 1986</xref>; <xref ref-type="bibr" rid="B82">Yau et&#x20;al., 1993</xref>; <xref ref-type="bibr" rid="B10">Christon et&#x20;al., 1994</xref>; <xref ref-type="bibr" rid="B76">Wilson and Craven, 1999</xref>; <xref ref-type="bibr" rid="B42">Lennartsson et&#x20;al., 2000</xref>; <xref ref-type="bibr" rid="B60">Seki et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B11">Christon et&#x20;al., 2020</xref>).</p>
<p>
<xref ref-type="fig" rid="F2">Figure&#x20;2</xref> shows space missions that reported observations of molecular ions, starting from the early Sputnik III spacecraft to the Arase (ERG) mission, spanning from few hundreds km altitude to hundreds of Earth radii across several solar cycles. In this letter, we review the observational record of molecular ions from the Earth&#x2019;s terrestrial high latitude ionosphere to the magnetosphere. These observations provide context to understand the energization of molecular ions, as well as to help interpret plasma observations from current and past space missions.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Sunspot number from 1958 to 2021 (black lines) indicative of solar cycles 19 through 24 (numbers in grey). Over-plotted are the missions that reported on observations of molecular ions and their corresponding operating region in space, along with the timeframe of operation. Note that in most cases the actual data availability covers a time window less than the mission lifetime.</p>
</caption>
<graphic xlink:href="fspas-08-745357-g002.tif"/>
</fig>
</sec>
<sec id="s2">
<title>2 Observations of Molecular Ions in the Ionosphere</title>
<p>Molecular <inline-formula id="inf10">
<mml:math id="m10">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
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<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
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</inline-formula> ions were first observed in the topside ionosphere by the Bennett-type radio frequency (RF) quadrupole mass spectrometer on board of the Soviet Sputnik III satellite (<xref ref-type="bibr" rid="B49">Nauk and Doklady, 1961</xref>). Launched on May 15, 1958, Sputnik III satellite aimed to observe the ionic compositions in the topside ionosphere, and its altitude range covered from 217 to 1864&#xa0;km with 65.18&#xb0; orbital inclination. <xref ref-type="fig" rid="F3">Figure&#x20;3</xref> presents the first <italic>in situ</italic> observations of N<sup>&#x2b;</sup> and <inline-formula id="inf11">
<mml:math id="m11">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
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<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
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</inline-formula> densities as a function of altitude. These measurements from Sputnik III show that the density of <inline-formula id="inf12">
<mml:math id="m12">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
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</inline-formula> is higher than that of N<sup>&#x2b;</sup> at altitudes below 300&#xa0;km, reaching a peak density of 9.8&#x20;&#xd7; 10<sup>3</sup>&#xa0;cm<sup>&#x2212;3</sup> around 250&#xa0;km altitude (<xref ref-type="bibr" rid="B37">Istomin, 1966</xref>). The reason for the fast decrease in <inline-formula id="inf13">
<mml:math id="m13">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
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<mml:mn>2</mml:mn>
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<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
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</inline-formula> density at higher altitudes is that in the F2 layer, <inline-formula id="inf14">
<mml:math id="m14">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
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<mml:mn>2</mml:mn>
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<mml:mrow>
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</inline-formula> undergoes fast recombination reactions with electrons to form a pair of neutral atoms, and charge exchanges quickly with most of the other neutral species. Thus, the concentration of <inline-formula id="inf15">
<mml:math id="m15">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
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<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
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</inline-formula> rapidly decreases above 300&#xa0;km altitude. On the other hand, N<sup>&#x2b;</sup> is produced via <inline-formula id="inf16">
<mml:math id="m16">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
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</inline-formula> dissociation and its concentration increases rapidly by 2&#x2013;3 orders of magnitude as the altitude increases.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>First direct ions densities measurements by the Soviet Sputnik III satellite with the altitude profile (<italic>x</italic>-axis) for molecular <inline-formula id="inf17">
<mml:math id="m17">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> (magenta line) and atomic N<sup>&#x2b;</sup> ions (orange line) in the upper atmosphere. Noted that the left y-axis (<inline-formula id="inf18">
<mml:math id="m18">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> ions density) and right y-axis (N<sup>&#x2b;</sup> ions density) are on different scales. Figure digitized and adapted from (<xref ref-type="bibr" rid="B37">Istomin, 1966</xref>).</p>
</caption>
<graphic xlink:href="fspas-08-745357-g003.tif"/>
</fig>
<p>Previous observational data sets (<xref ref-type="bibr" rid="B68">Taylor et&#x20;al., 1968</xref>; <xref ref-type="bibr" rid="B39">Johnson and Gerardo, 1972</xref>; <xref ref-type="bibr" rid="B71">Taylor, 1973</xref>) indicated that the abundances of molecular ions rapidly decreased due to short dissociative recombination lifetime, and therefore molecular ions were only occasionally observed. Thus, it has been concluded that the density of molecular ions in the topsides ionosphere is negligible. However, the Polar Orbiting Geophysical Observatory (OGO 6) mission launched on June 5, 1969, one of the first U.S. led large observatory to study the dynamics of high-altitude atmospheric parameters (<xref ref-type="bibr" rid="B38">Jackson and Vette, 1975</xref>), was the first to report observations of the high latitude trough (HLT), a prominent feature associated with the presence of molecular ions in the topside ionosphere (600&#x2013;1,000&#xa0;km). This HLT is a narrow (6&#xb0;&#x2013;10&#xb0; latitude) region where the concentration of atomic H<sup>&#x2b;</sup>, He<sup>&#x2b;</sup>, O<sup>&#x2b;</sup> and N<sup>&#x2b;</sup> were observed to decrease by a factor of 3 or more, while molecular <inline-formula id="inf19">
<mml:math id="m19">
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<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
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</inline-formula>, NO<sup>&#x2b;</sup>, and <inline-formula id="inf20">
<mml:math id="m20">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
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<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
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</inline-formula> ion densities presented abrupt enhancements.</p>
<p>Although the inclination of the OGO 6 orbit was 82&#xb0; north, due to the tilt of the dipole axis, OGO 6 covered a wide range of latitudes (<xref ref-type="bibr" rid="B67">Taylor, 1971</xref>), and the data coverage ranges from &#x223c; 413&#xa0;km to &#x223c; 1077&#xa0;km altitude. These unexpectedly abrupt and pronounced distributions of molecular ions were measured by the Bennett-type radio frequency ion mass spectrometer (<xref ref-type="bibr" rid="B71">Taylor, 1973</xref>) onboard OGO 6, showing enhancements in the density of NO<sup>&#x2b;</sup> that reached 10<sup>3</sup>&#xa0;cm<sup>&#x2212;3</sup>&#xa0;at 1,000&#xa0;km altitude near 70&#xb0;&#x2013;80&#xb0; latitude, both in the northern and southern hemisphere, during the modest storm of June 20, 1970 (Max Kp &#x3d; 4; Min Dst &#x3d; &#x2212;54&#xa0;nT).</p>
<p>These large gradients in the abundances of molecular ions observed in the HLTs were later explained by the enhancement of soft electron precipitation associated with the polar cap region and the rapid loss of O<sup>&#x2b;</sup> due to the strong electric convection field (<xref ref-type="bibr" rid="B69">Taylor et&#x20;al., 1975</xref>; <xref ref-type="bibr" rid="B22">Grebowsky et&#x20;al., 1976</xref>; <xref ref-type="bibr" rid="B21">Grebowsky et&#x20;al., 1983</xref>). On March 10, 1970, 1&#xa0;day after the intense geomagnetic storm of March 8, 1970 (Max Kp &#x3d; 9; Min Dst &#x3d; -285&#xa0;nT), the HLT was observed at altitudes between 700&#x2013;800&#xa0;km, and &#x223c; 65.8&#xb0; latitude in the northern hemisphere and &#x223c; -65.2&#xb0; latitude in the southern hemisphere. <xref ref-type="fig" rid="F4">Figure&#x20;4</xref> shows the measurements of O<sup>&#x2b;</sup>, H<sup>&#x2b;</sup> and NO<sup>&#x2b;</sup> densities from OGO 6 satellite versus latitudes, extracted during the recovery phase of March 8, 1970 geomagnetic storm. It can be seen that in both HLT regions (with &#x223c; 5&#xb0; latitude range, highlighted as light orange), &#x223c; 50% of both O<sup>&#x2b;</sup> and H<sup>&#x2b;</sup> densities are depleted at a time when NO<sup>&#x2b;</sup> ions density increased about a factor of 8, while the peak value of NO<sup>&#x2b;</sup> concentration was up to 20&#xa0;cm<sup>&#x2212;3</sup> at &#x223c; 700&#xa0;km altitude. These observations suggest that the rapid loss of O<sup>&#x2b;</sup> in the HLTs could contribute to the source of NO<sup>&#x2b;</sup> ions through the reactions of O<sup>&#x2b;</sup> ions with the neutral atmosphere, O<sup>&#x2b;</sup> &#x2b; N<sub>2</sub> &#x2192; N &#x2b; NO<sup>&#x2b;</sup> and possibly O<sup>&#x2b;</sup> &#x2b; O<sub>2</sub> &#x2192; <inline-formula id="inf21">
<mml:math id="m21">
<mml:msubsup>
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</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>O</mml:mtext>
</mml:math>
</inline-formula>. Note that the OGO 6 also had ability to distinguish the increasing ion densities of <inline-formula id="inf22">
<mml:math id="m22">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
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<mml:mrow>
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</mml:math>
</inline-formula> and <inline-formula id="inf23">
<mml:math id="m23">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
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<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
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</inline-formula>, but were not shown here due to clarity of the figure (<xref ref-type="bibr" rid="B69">Taylor et&#x20;al., 1975</xref>). <xref ref-type="bibr" rid="B21">Grebowsky et&#x20;al. (1983)</xref> further examined the average invariant latitude-magnetic local time (MLT) distribution of HLTs based on the OGO 6 data from 1969&#x2013;1970 and found that the location of HLTs was aligned with the polar cap boundary, associated with the maximum electric convection field, as well as enhancements of soft electron fluxes.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Bottom panel shows the observed ion compositions of O<sup>&#x2b;</sup> (blue), H<sup>&#x2b;</sup> (light green) and NO<sup>&#x2b;</sup> (purple) from OGO 6 satellite versus the latitudes, extracted during the recovery phase of March 8, 1970 geomagnetic storm. Note that the light orange blocks highlighted the HLTs with abrupt enhancements of NO<sup>&#x2b;</sup> densities and decreases of atomic O<sup>&#x2b;</sup> and H<sup>&#x2b;</sup> ions densities. The Kp (orange bars) and Dst (red) indices during this storm are provided for reference. Figure digitized and adapted from (<xref ref-type="bibr" rid="B69">Taylor et&#x20;al., 1975</xref>), and dipole latitudes in the <italic>x</italic>-axis are also identified as geomagnetic latitudes.</p>
</caption>
<graphic xlink:href="fspas-08-745357-g004.tif"/>
</fig>
<p>The presence of molecular ions in the terrestrial ionosphere was also confirmed by measurements from the Ion Mass Spectrometer (IMS) on board NASA International Satellite for ionospheric Studies (ISIS 2) (<xref ref-type="bibr" rid="B33">Hoffman, 1970</xref>). Deployed on April 1, 1971, ISIS 2 operated in an orbit with an apogee of 1,440&#xa0;km, a perigee of 1,360&#xa0;km, and an inclination of 88.1&#xb0;. The IMS onboard the ISIS 2 was designed to measure the ionic compositions of the ionosphere in the mass range of 1&#x2013;64 amu. <xref ref-type="fig" rid="F5">Figure&#x20;5</xref> shows such observations during the August 4, 1972 geomagnetic storm (Max Kp &#x3d; 9, Min Dst &#x3d; -125&#xa0;nT) (<xref ref-type="bibr" rid="B31">Hoffman et&#x20;al., 1974</xref>). These measurements indicated that during times of increased geomagnetic activity (Kp &#x3d; 9), O<sup>&#x2b;</sup> and N<sup>&#x2b;</sup> have comparable concentrations from 55&#xb0; latitude to 85&#xb0; at 1,400&#xa0;km altitude, while the concentration of NO<sup>&#x2b;</sup> and <inline-formula id="inf24">
<mml:math id="m24">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
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</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
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</mml:msubsup>
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</inline-formula> reached more than 10<sup>3</sup>&#xa0;cm<sup>&#x2212;3</sup> and that of <inline-formula id="inf25">
<mml:math id="m25">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
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<mml:mrow>
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</inline-formula> was &#x223c; 10<sup>3</sup>&#xa0;cm<sup>&#x2212;2</sup> from 55&#xb0; latitude to 70&#xb0;. The ion densities ratio of NO<sup>&#x2b;</sup>/N<sup>&#x2b;</sup> was &#x223c; 0.015&#x2013;0.35 during this event. When the spacecraft passed through above 55&#xb0; latitude region, the molecular ions densities increase from 2&#xd7;10<sup>2</sup> to 10<sup>3</sup>&#xa0;cm<sup>&#x2212;3</sup> and the densities of O<sup>&#x2b;</sup> decreased from 3&#x20;&#xd7; 10<sup>4</sup> to 10<sup>4</sup>&#xa0;cm<sup>&#x2212;3</sup>. There are several reasons that could explain the abundance of molecular ions during this time. First, based on the OGO 6 measurements from the neutral mass spectrometer in a similar event, the densities of N<sub>2</sub> at high altitudes increased significantly, and this could provide a potential source of molecular <inline-formula id="inf26">
<mml:math id="m26">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> ions (<xref ref-type="bibr" rid="B30">Hedin and Reber, 1972</xref>). Second, these unexpected enhancements of molecular ion densities had similar locations as those of HLTs observed by OGO 6 satellite (<xref ref-type="bibr" rid="B69">Taylor et&#x20;al., 1975</xref>; <xref ref-type="bibr" rid="B22">Grebowsky et&#x20;al., 1976</xref>; <xref ref-type="bibr" rid="B21">Grebowsky et&#x20;al., 1983</xref>) and thus, the enhancement of soft electron precipitation and rapid loss of O<sup>&#x2b;</sup> ions at a time associated with strong electric convection fields could provide an additional source of molecular ions in the topside ionosphere.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>High latitude ISIS 2 measurements showing the ion compositions of O<sup>&#x2b;</sup> (blue), N<sup>&#x2b;</sup> (orange), NO<sup>&#x2b;</sup> (purple), <inline-formula id="inf27">
<mml:math id="m27">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> (magenta) and <inline-formula id="inf28">
<mml:math id="m28">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> (black), at 1,400&#xa0;km altitude <bold>(B)</bold> during the storm of August 4, 1972. The measurements were observed along the ISIS 2 satellite trajectory, which is shown here as the combination of Greenwich Mean Time (GMT) and invariant latitudes. The Kp (orange bars) and Dst (red line) indices during this storm are shown for reference <bold>(A)</bold>; greyed out area on top panel corresponds to the time interval when the measurements present in bottom panel are extracted. Figure digitized and adapted from (<xref ref-type="bibr" rid="B31">Hoffman et&#x20;al., 1974</xref>).</p>
</caption>
<graphic xlink:href="fspas-08-745357-g005.tif"/>
</fig>
<p>The concomitant observations of enhancements in molecular ion densities and HLTs were noted not only during solar maximum by OGO 6, but also during the solar minimum by instruments onboard the Atmosphere Explorer (AE-C) mission. Launched in December 1973, AE-C aimed to study the structure of thermosphere, especially how the photochemical processes govern the region (<xref ref-type="bibr" rid="B54">Richards and Voglozin, 2011</xref>). During the first year of operation, the perigee moved from about 68&#xb0; latitude north down to about 60&#xb0; south, and the orbit became circular at approximately 390&#xa0;km altitude (<xref ref-type="bibr" rid="B54">Richards and Voglozin, 2011</xref>). The ion mass spectrometers on board the AE-C were a Bennett-type radio frequency ion mass spectrometer (<xref ref-type="bibr" rid="B8">Brinton et&#x20;al., 1973</xref>) and a magnetic ion mass spectrometer (<xref ref-type="bibr" rid="B32">Hoffman et&#x20;al., 1973</xref>), and were employed to measure ion densities.</p>
<p>HLTs were observed during June 1976&#xa0;at 70&#xb0; latitude and 300&#xa0;km altitude in the southern hemisphere during quiet winter time conditions (<xref ref-type="bibr" rid="B7">Brinton et&#x20;al., 1978</xref>). <xref ref-type="fig" rid="F6">Figure&#x20;6</xref> shows the ion densities (bottom panel), electron temperature and energy fluxes (center panel), and the Dst and Kp indices (top; shown for context). It can be seen that at this time the density of NO<sup>&#x2b;</sup> reached 2.5&#x20;&#xd7; 10<sup>3</sup>&#xa0;cm<sup>&#x2212;3</sup>, and the density <inline-formula id="inf29">
<mml:math id="m29">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> and <inline-formula id="inf30">
<mml:math id="m30">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> were 9.5&#x20;&#xd7; 10<sup>2</sup> and 5&#x20;&#xd7; 10<sup>2</sup>&#xa0;cm<sup>&#x2212;3</sup>. Unlike the depletion of O<sup>&#x2b;</sup> in the HLT observed by OGO 6, the observed O<sup>&#x2b;</sup> density by AE-C didn&#x2019;t decrease as the molecular ion densities increased. By examining the electron temperature as well as the energetic particle flux near the HLTs, the increase of electron temperature suggests that the existence of a locally acting heating mechanism responsible for the enhancement in the energetic particle flux. This could possibly have provided the additional energy to molecular ions, leading the formation of HLTs in the high latitude ionosphere (<xref ref-type="bibr" rid="B7">Brinton et&#x20;al., 1978</xref>). Furthermore, O<sup>&#x2b;</sup> ions were the dominant heavy ion species above 50&#xb0; latitude ionosphere and the dominant molecular ions species were either NO<sup>&#x2b;</sup> or <inline-formula id="inf31">
<mml:math id="m31">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
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<mml:mrow>
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<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>. The NO<sup>&#x2b;</sup> ions was likely to dominate the molecular ions species of the sunlit F region as well as 60&#xb0;&#x2013;90&#xb0; latitude in the nightside region, while <inline-formula id="inf32">
<mml:math id="m32">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> was likely to dominate the nightside region from 50&#xb0;&#x2013;60&#xb0; latitude. Note that <inline-formula id="inf33">
<mml:math id="m33">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> was never the dominant ion species during solar minimum conditions, but it could be the second most abundant molecular ions species where NO<sup>&#x2b;</sup> was the major molecular ion. The highest observed density of <inline-formula id="inf34">
<mml:math id="m34">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> and NO<sup>&#x2b;</sup> were &#x223c;10<sup>4</sup>&#xa0;cm<sup>&#x2212;3</sup> near the cusp region, and &#x223c;10<sup>3</sup>&#xa0;cm<sup>&#x2212;3</sup> around the nightside auroral zone (<xref ref-type="bibr" rid="B7">Brinton et&#x20;al., 1978</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>AE-C measurement during the winter solar minimum at high southern latitude F layer. The bottom panel shows the ion compositions (n) of O<sup>&#x2b;</sup> (blue line), NO<sup>&#x2b;</sup> (purple line), <inline-formula id="inf35">
<mml:math id="m35">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> (magenta line) and <inline-formula id="inf36">
<mml:math id="m36">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> (black line) when the AE-C passed the orbit of 14&#x2009;182 (versus UT, latitude and MLT). The center panel is electron temperature (T<sub>
<italic>e</italic>
</sub>, black line), and energetic electron flux (&#x3a6;<sub>
<italic>e</italic>
</sub>, gold line) measured at the same time and location as the bottom panel. The HLTs were highlighted as light orange blocks here, where the abrupt enhancements of molecular ions densities were observed. The Kp (orange bars) and Dst (red line) indices during this time of orbit 14&#x2009;182 are shown for reference <bold>(top panel)</bold>; greyed out area on top panel corresponds to the time interval when the measurements present in bottom panel are extracted. Figure digitized and adapted from (<xref ref-type="bibr" rid="B7">Brinton et&#x20;al., 1978</xref>).</p>
</caption>
<graphic xlink:href="fspas-08-745357-g006.tif"/>
</fig>
<p>The upflowing molecular ions at several thousand kilometers altitude were first observed by Suprathermal Ion Mass Spectrometer (SMS) carried on the Akebono (EXOS-D) spacecraft. Launched on February 21, 1989, the Akebono (EXOS-D) spacecraft was a Japan-led satellite mission designed to investigate processes leading to particle acceleration above the auroral region (<xref ref-type="bibr" rid="B73">Tsuruda and Oya, 1991</xref>). The Akebono spacecraft operated in an elliptical polar orbit, with an apogee of 2.65&#x20;<inline-formula id="inf37">
<mml:math id="m37">
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mspace width="0.3333em"/>
<mml:mfenced open="(" close="">
<mml:mrow>
<mml:mo>&#x223c;</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:math>
</inline-formula> 10,500&#xa0;km) altitude, a perigee of 275&#xa0;km, and inclination of 75&#xb0;. The SMS on board the Akebono spacecraft was designed to measure mass-per-charge (m/q) and energy-per-charge (E/q) with the range of 1&#x2013;67&#xa0;amu/q and 0.1&#x2013;4,000&#xa0;eV/q by sampling the two dimensional thermal (0&#x2013;25.5&#xa0;eV) and suprathermal (55&#xa0;eV/q&#x2013;4.1&#xa0;keV/q) ion energy distributions in the satellite spin plane (<xref ref-type="bibr" rid="B74">Whalen et&#x20;al., 1990</xref>).</p>
<p>
<xref ref-type="table" rid="T1">Table&#x20;1</xref> summarizes the observations of molecular ions from Akebono spacecraft based on four storm events in 1990 [adapted from <xref ref-type="bibr" rid="B82">Yau et&#x20;al. (1993)</xref>]. Molecular ions were a minor component of the upflowing ionospheric ion population, for which NO<sup>&#x2b;</sup> and <inline-formula id="inf38">
<mml:math id="m38">
<mml:msubsup>
<mml:mrow>
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<mml:mrow>
<mml:mn>2</mml:mn>
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<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
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</mml:msubsup>
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</inline-formula> were the dominant molecular ion species, and the density of <inline-formula id="inf39">
<mml:math id="m39">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> was one order of magnitude lower. Molecular ions could be observed during the storm main and recovery phases at altitudes between 7,000&#x2013;10,000&#xa0;km near 70&#xb0; latitude. The abundance of molecular ions was correlated with the density ratio of N<sup>&#x2b;</sup>/O<sup>&#x2b;</sup> (<xref ref-type="bibr" rid="B82">Yau et&#x20;al., 1993</xref>), that is, the maximum flux of molecular ions was accompanied by the unity ratio of N<sup>&#x2b;</sup>/O<sup>&#x2b;</sup>, and the molecular ions flux could be at most 15% of the total ionospheric outflow fluxes during storm time. The increase in molecular ions densities can be explained by the increase in neutrals densities and their collisional ionization in the 500&#x2013;1,000&#xa0;km altitude range. For instance, the density of N<sub>2</sub> in this region, as predicted by the Mass-Spectrometer-Incoherent-Scatter (MSIS-86) model (<xref ref-type="bibr" rid="B29">Hedin, 1987</xref>), increases by a factor of &#x223c; 80 from quiet time (Ap Index &#x3d; 4) to storm time conditions (Ap Index &#x3d; 60). Moreover, heavy ions produced in the 500&#x2013;1,000&#xa0;km altitude region are required to attain &#x223c; 1&#xa0;km/s velocities in order to reach the high altitude region. Based on the Akebono spacecraft observational data, the lifetimes of molecular ions between 300 and 1,000&#xa0;km were estimated &#x223c; tens of minutes. This implies that transverse heating commonly occurring between 400 and 1,000&#xa0;km altitude during the active auroral conditions could be sufficient to energize&#x20;them.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Observations of molecular ions from Akebono during four storm events in 1990, including the time and location of the observation as well as the ion fluxes of N<sup>&#x2b;</sup> to O<sup>&#x2b;</sup>, molecular ions to O<sup>&#x2b;</sup>, and between molecular ions (NO<sup>&#x2b;</sup>:<inline-formula id="inf40">
<mml:math id="m40">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>:<inline-formula id="inf41">
<mml:math id="m41">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>). Data collected and summarized based on the <xref ref-type="bibr" rid="B82">Yau et&#x20;al. (1993)</xref>&#x20;study.</p>
</caption>
<table>
<thead>
<tr>
<td align="left">Storm event</td>
<td align="center">Jan 21&#x2013;23, 1990</td>
<td align="center">Mar 11&#x2013;13, 1990</td>
<td align="center">Mar 17&#x2013;19, 1990</td>
<td align="center">May 25&#x2013;27, 1990</td>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Storm phase</td>
<td align="center">Recovery phase</td>
<td align="center">Main phase</td>
<td align="center">Main phase</td>
<td align="center">Recovery phase</td>
</tr>
<tr>
<td align="left">Observed Latitude</td>
<td align="center">near 70&#xb0; Nightside</td>
<td align="center">65&#xb0;&#x2013;76&#xb0; Dayside</td>
<td align="center">near 70&#xb0; Dayside</td>
<td align="center">near 70&#xb0; Dayside</td>
</tr>
<tr>
<td align="left">Observed Altitude (km)</td>
<td align="center">8,700&#x2013;9,950</td>
<td align="center">6,100&#x2013;8,160</td>
<td align="center">9000&#x2013;10,000</td>
<td align="center">6,500&#x2013;7,800</td>
</tr>
<tr>
<td align="left">Flux of N<sup>&#x2b;</sup>/O<sup>&#x2b;</sup>
</td>
<td align="center">&#x223c; 0.08</td>
<td align="center">&#x223c; 1</td>
<td align="center">&#x223c; 0.6</td>
<td align="center">&#x223c; 1</td>
</tr>
<tr>
<td align="left">(Molecular ions)/O<sup>&#x2b;</sup>
</td>
<td align="center">&#x223c; 0.05</td>
<td align="center">0.14</td>
<td align="center">&#x223c; 0.05</td>
<td align="center">0.1</td>
</tr>
<tr>
<td align="left">Flux of NO<sup>&#x2b;</sup>:<inline-formula id="inf42">
<mml:math id="m42">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>:<inline-formula id="inf43">
<mml:math id="m43">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>
</td>
<td align="center">0.3: 1: 0.01</td>
<td align="center">1: 0.9: 0.05</td>
<td align="center">1: 0.9: 0.08</td>
<td align="center">1: 1: 0.1</td>
</tr>
<tr>
<td align="left">Min. Dst (nT) during Storm phase/Storm Event</td>
<td align="center">&#x2212;32/&#x2212;45</td>
<td align="center">&#x2212;159/&#x2212;162</td>
<td align="center">&#x2212;43/-67</td>
<td align="center">&#x2212;68/&#x2212;87</td>
</tr>
<tr>
<td align="left">Kp/Max Kp</td>
<td align="center">4/4</td>
<td align="center">7/7</td>
<td align="center">6/6</td>
<td align="center">6/7</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Previous observations indicated that molecular ions were likely to be present in the topside ionosphere, during and after strong geomagnetic storms, for which the minimum Dst was smaller than -100&#xa0;nT. However, recent observations from the CASSIOPE Enhanced Polar Outflow Probe (e-POP) mission indicated that molecular ions were observed frequently even during modest geomagnetic storm at all e-POP altitudes, spanning between 325&#x2013;1,500&#xa0;km (<xref ref-type="bibr" rid="B81">Yau et&#x20;al., 2006</xref>; <xref ref-type="bibr" rid="B80">Yau and Howarth, 2016</xref>). Based on the e-POP data collected during 2013&#x2013;2018&#x20;time period, most observations of molecular ions occurred in the pre-midnight sector above 50&#xb0; latitude ionosphere, while the lowest count rate events were located in the 8&#x2013;10 MLT range, which coincided with the peak region of energetic precipitating electrons (<xref ref-type="bibr" rid="B16">Foss and Yau, 2019</xref>).</p>
</sec>
<sec id="s3">
<title>3 Observations of Molecular Ions in the Magnetosphere</title>
<p>Until the flight of the Dynamic Explorer (DE-1), instruments on board magnetospheric missions were not capable of fully resolving all heavy ion species, molecular ions in particular. Explorer 45, launched on November 15, 1971, reported on the presence of an unexpected heavier ion species (M/Q &#x2265; 9) with energies in the range of tens of MeVs, observed in the radiation belt region during the geomagnetic storm of August 4, 1972 (Max Kp &#x3d; 9, Min Dst &#x3d; -125&#xa0;nT). Because the heavy ion detector telescope on the Explorer 45 didn&#x2019;t have capability to accurately determine the mass of the observed ion species, <xref ref-type="bibr" rid="B65">Spjeldvik and Fritz (1981)</xref> identified these energetic ion species either as the magnesium, or silicon and iron&#x20;ions.</p>
<p>Molecular <inline-formula id="inf44">
<mml:math id="m44">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>, NO<sup>&#x2b;</sup>, and <inline-formula id="inf45">
<mml:math id="m45">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> ions were first observed in the magnetosphere by the Retarded Ion Mass Spectrometer (RIMS) (<xref ref-type="bibr" rid="B9">Chappell et&#x20;al., 1982</xref>) on board the Dynamic Explorer (DE-1) (<xref ref-type="bibr" rid="B13">Craven et&#x20;al., 1985</xref>). Launched on August 3, 1981, the DE-1 covered the altitude range between 500 km and &#x223c; 3.6 Earth radii, and aimed to investigate in the interactive processes in the Earth&#x2019;s ionosphere, plasmasphere, and magnetosphere. RIMS was designed to measure ions with mass between 1 and 32 amu, and with energies ranging from 0 to 50&#xa0;eV. To resolve molecular ions species and their corresponding kinetic energies, RIMS was designed with the mass voltage steps closer together for mass range between 28 and 32. During the storm of September 6, 1982 (Max Kp &#x3d; 9, Min Dst &#x3d; &#x223c; -300&#xa0;nT), DE-1 measurements show that the maximum flux of molecular ions was as high as &#x223c; 10<sup>6</sup>&#xa0;cm<sup>&#x2212;2</sup>&#xa0;s<sup>&#x2212;1</sup> around 70&#xb0; latitude at 1&#x2013;3&#x20;R<sub>
<italic>E</italic>
</sub>, and NO<sup>&#x2b;</sup> and <inline-formula id="inf46">
<mml:math id="m46">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> were the dominant molecular ions species with similar fluxes. Furthermore, the velocity distribution of molecular ions followed a Maxwellian distribution in the ionosphere, and transferred to the field-aligned velocity distribution at several Earth radii altitude (<xref ref-type="bibr" rid="B13">Craven et&#x20;al., 1985</xref>). In the region between 1&#x2013;3&#x20;R<sub>
<italic>E</italic>
</sub>, the velocities of molecular ions were observed to be around 5&#x2013;10&#xa0;km/s, and their kinetic energies were at least 20&#xa0;eV at 2.5&#x20;R<sub>
<italic>E</italic>
</sub> geocentric distance. The DE-1 observational dataset suggests that molecular ions are likely to be produced in the polar cusp region and convected to the nightside cusp and polar cap region by the influence of crossed electric and magnetic fields (<bold>E</bold> &#xd7; <bold>B</bold>).</p>
<p>Energetic molecular ions with energies higher than 100&#xa0;keV/e were first detected in the outer ring current region (L &#x223c; 7) by Suprathermal Energy ionic Charge Analyzer (SULEICA) onboard the Active Magnetospheric Particle Tracer Explorers (AMPTE) Ion release Module (IRM) spacecraft. Launched on August 16, 1984, the AMPTE/IRM operated in an elliptical orbit with inclination of 28.8&#xb0; with an apogee of 18.7&#x20;R<sub>
<italic>E</italic>
</sub> (<xref ref-type="bibr" rid="B46">Mobius et&#x20;al., 1985</xref>). The SULEICA instrument was a curved plate electrostatic energy-per-charge analyzer that measured ion energies between 5&#x2013;270&#xa0;keV/q (<xref ref-type="bibr" rid="B28">Hausler et&#x20;al., 1985</xref>). While no observations of molecular ion were reported during quiet time periods by the AMPTE/IRM spacecraft, molecular ions in the outer ring current were observed during multiple storm events (<xref ref-type="bibr" rid="B40">Klecker et&#x20;al., 1986</xref>). <xref ref-type="table" rid="T2">Table&#x20;2</xref> presents a synthesis of measured (NO<sup>&#x2b;</sup>&#x2b;<inline-formula id="inf47">
<mml:math id="m47">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>)/O<sup>&#x2b;</sup> fluxes, and the relevant information regarding each storm interval (Dst, Kp, and observation time interval), as well as the ratio of O<sup>&#x2b;</sup> energy flux to the total observed energy flux for these events. The observational record indicates that both <inline-formula id="inf48">
<mml:math id="m48">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> and NO<sup>&#x2b;</sup> were the dominant molecular ions species in this region. The average molecular ions flux was observed to be around 3&#x2013;4% of O<sup>&#x2b;</sup> flux in the energy range 80&#x2013;230&#xa0;keV during active times. <xref ref-type="fig" rid="F7">Figure&#x20;7</xref> shows the change in energy flux with particle energy during the early main phase of the September 4, 1984 storm, based on SULEICA measurements (<xref ref-type="bibr" rid="B40">Klecker et&#x20;al., 1986</xref>). Molecular NO<sup>&#x2b;</sup> and <inline-formula id="inf49">
<mml:math id="m49">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> ions (purple) were observed at L &#x223c; 6.5&#x2013;7, having energies of the order of 100 keV/e, contributing &#x223c; 0.5% of the total energy of 32&#xa0;keV/cm<sup>&#x2212;3</sup> in the energy range 20&#x2013;230&#xa0;keV/e. These observations of energetic molecular ions suggest that either the mass selection energization mechanisms or the density profile of the thermosphere during the storm time played a significant role in the efficient heating of the molecular ions as they were transported from the ionosphere to the magnetosphere.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>AMPTE observations of molecular ions during three storm events in 1984, including the observed time intervals and spatial locations, ions energy densities, and the total molecular ions to O<sup>&#x2b;</sup> flux ratios, with the corresponding Dst and Kp. Data collected and summarized based on the <xref ref-type="bibr" rid="B40">Klecker et&#x20;al. (1986)</xref>&#x20;study.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">Sep 4, 1984</th>
<th align="center">Oct 19, 1984</th>
<th align="center">Nov 17, 1984</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Observed time</td>
<td align="center">Onset phase</td>
<td align="center">Recovery phase</td>
<td align="center">Late recovery phase</td>
</tr>
<tr>
<td align="left">Total energy density (keV/cm<sup>3</sup>)</td>
<td align="center">32</td>
<td align="center">6</td>
<td align="center">5.1</td>
</tr>
<tr>
<td align="left">O<sup>&#x2b;</sup> energy density (of total)</td>
<td align="center">21%</td>
<td align="center">12%</td>
<td align="center">8.5%</td>
</tr>
<tr>
<td align="left">(NO<sup>&#x2b;</sup>&#x2b;<inline-formula id="inf50">
<mml:math id="m50">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>)/O<sup>&#x2b;</sup> flux (160&#xa0;keV)</td>
<td align="center">0.031&#x20;&#xb1; 0.004</td>
<td align="center">0.018&#x20;&#xb1; 0.004</td>
<td align="center">
<inline-formula id="inf51">
<mml:math id="m51">
<mml:mo>&#x3c;</mml:mo>
</mml:math>
</inline-formula>0.038</td>
</tr>
<tr>
<td align="left">L</td>
<td align="center">6.6&#x2013;8.3</td>
<td align="center">8.0&#x2013;9.4</td>
<td align="center">7.7&#x2013;9.5</td>
</tr>
<tr>
<td align="left">Dst/Minimum Dst (nT)</td>
<td align="center">&#x2212;58/&#x2212;162</td>
<td align="center">&#x2212;60/&#x2212;86</td>
<td align="center">&#x2212;60/&#x2212;133</td>
</tr>
<tr>
<td align="left">Kp/Max Kp</td>
<td align="center">8/8</td>
<td align="center">5/7</td>
<td align="center">4/8</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Measurements from the SULEICA instrument on board the AMPTE/IRM spacecraft showing the energy spectra of H<sup>&#x2b;</sup> (light green), He<sup>&#x2b;</sup> (dark green), O<sup>&#x2b;</sup> (blue), and molecular ions (purple) with energy range 10&#x2013;230&#xa0;keV/e <bold>(bottom panel)</bold>. The Kp (orange bars) and Dst (red line) indices from the September 4, 1984 storm are shown for reference <bold>(top panel);</bold> greyed out area on top panel corresponds to the time interval when the measurements presented in bottom panel are extracted. Figure digitized and adapted from (<xref ref-type="bibr" rid="B40">Klecker et&#x20;al., 1986</xref>).</p>
</caption>
<graphic xlink:href="fspas-08-745357-g007.tif"/>
</fig>
<p>Observations of molecular ions at hundreds of Earth radii downtail were first recorded by instruments onboard the Geotail mission (<xref ref-type="bibr" rid="B50">Nishida, 1994</xref>). The Suprathermal Ion Composition Spectrometer (STICS) of Geotail/EPIC (Energetic Particles and Ion Composition) instrument and the Low Energy Particle Energy Analyzer (LEP-EA) had the capability to measure ions in the energy range of 9.4&#x2013;210&#xa0;keV/e and 0.03&#x2013;40&#xa0;keV/e (<xref ref-type="bibr" rid="B10">Christon et&#x20;al., 1994</xref>; <xref ref-type="bibr" rid="B75">Williams et&#x20;al., 1994</xref>). Total kinetic energy, energy-per-charge, and time-of-flight measurements of individual ions are combined with various telescope parameters to generate pulse height analysis (PHAs) events and the count rates of PHAs were related to the abundances of ions in the observed region. Singly charged heavy ions, including atomic N<sup>&#x2b;</sup> and O<sup>&#x2b;</sup>, and molecular <inline-formula id="inf52">
<mml:math id="m52">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>, NO<sup>&#x2b;</sup>, and <inline-formula id="inf53">
<mml:math id="m53">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> ions, were observed in Earth&#x2019;s magnetotail at distances X &#x223c; -146&#x20;R<sub>
<italic>E</italic>
</sub> during geomagnetically active times (maximum Kp value was &#x223c;7, minimum Dst was only -40&#xa0;nT). <xref ref-type="fig" rid="F8">Figure&#x20;8</xref> shows the rest frame phase space ion densities vs. ion velocities based on Geotail observational data. It can be seen that the atomic N<sup>&#x2b;</sup> and O<sup>&#x2b;</sup> as well as molecular ions had relatively high velocities &#x223c; 200&#x2013;900&#xa0;km/s in the rest frame of the tailward bulk plasma flow, where N<sup>&#x2b;</sup>/O<sup>&#x2b;</sup> &#x3d; &#x223c; 25&#x2013;30% and (<inline-formula id="inf54">
<mml:math id="m54">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>&#x2b;NO<sup>&#x2b;</sup>&#x2b;<inline-formula id="inf55">
<mml:math id="m55">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>)/O<sup>&#x2b;</sup> &#x3d; &#x223c; 1&#x2013;2%. In addition, the molecular ions observed at magnetosphere had similar velocity distribution as the atomic N<sup>&#x2b;</sup> and O<sup>&#x2b;</sup> in the outer magnetosphere (X &#x223c; -146&#x20;R<sub>
<italic>E</italic>
</sub>), but their densities were around two orders of magnitude lower.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Phase space densities (PSD) of N<sup>&#x2b;</sup> (orange line), O<sup>&#x2b;</sup> (blue line), and molecular ions (purple line) in the rest frame speed (v) for the interval 0958&#x2013;018 and 1252&#x2013;1330 UT during the storm of October 9, 1993, measured by the Geotail spacecraft <bold>(B)</bold>. The Kp (orange bars) and Dst (red line) indices during this storm are shown for reference <bold>(A)</bold>; greyed out area on top panel corresponds to the time interval when the measurements in bottom panel are extracted. Figure digitized and adapted from (<xref ref-type="bibr" rid="B10">Christon et al., 1994</xref>).</p>
</caption>
<graphic xlink:href="fspas-08-745357-g008.tif"/>
</fig>
<p>Statistical studies based on 20 years of Geotail/STICS data (1995-2015) indicated that the relative abundance of molecular ions in the Earth&#x2019;s magnetosphere is &#x223c;43% <inline-formula id="inf56">
<mml:math id="m56">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>, &#x223c;47% NO<sup>&#x2b;</sup> and &#x223c; 10% <inline-formula id="inf57">
<mml:math id="m57">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B11">Christon et&#x20;al., 2020</xref>). <xref ref-type="fig" rid="F9">Figure&#x20;9</xref>, adapted from <xref ref-type="bibr" rid="B11">Christon et&#x20;al. (2020)</xref>, shows the variation in N<sup>&#x2b;</sup> (orange line), O<sup>&#x2b;</sup> (blue line) and molecular ions with mass 28 amu (magenta line) and mass 30 amu (purple line) count rates with F10.7 (left panel) and Kp (right panel) indices. These data show that the count rates of magnetospheric molecular ions are the most sensitive to geomagnetic activity, and increase faster with larger values of Kp. Moreover, the count rates of molecular ions and atomic N<sup>&#x2b;</sup> and O<sup>&#x2b;</sup> ions seem to indicate a different response to the F10.7 index; while the count rates of atomic N<sup>&#x2b;</sup> and O<sup>&#x2b;</sup> ions proportionally increased with F10.7, that of the molecular ions showed a decline for F10.7&#x20;&#x223c; 120 &#xd7; 10<sup>22</sup> &#x2013; 220 &#xd7; 10<sup>22</sup>&#xa0;W/m<sup>2</sup>/Hz, and increased significantly at the highest&#x20;F10.7.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Geotail measurements of suprathermal (&#x223c;87&#x2013;212 keV/e) N<sup>&#x2b;</sup> (orange line), O<sup>&#x2b;</sup> (blue line), and molecular ions (magenta and purple lines). Data shows average phase count rates over 3&#xa0;h vs. Kp <bold>(A)</bold> and vs. F10.7 <bold>(B)</bold> indices covering observations made between 1995 and 2015. Figure digitized and adapted from (<xref ref-type="bibr" rid="B11">Christon et&#x20;al., 2020</xref>).</p>
</caption>
<graphic xlink:href="fspas-08-745357-g009.tif"/>
</fig>
<p>Molecular ions have also been observed by the Toroidal Imaging Mass-Angle Spectrograph (TIMAS) on board the Polar satellite. Launched on February 24, 1996, the Polar spacecraft measured plasma properties in the polar ionosphere and magnetosphere, aiming to develop an understanding of the deposition of particle energy in the ionosphere and upper atmosphere (<xref ref-type="bibr" rid="B62">Shelley et&#x20;al., 1995</xref>). The Polar spacecraft entered the orbit with an apogee of 9.0&#x20;R<sub>
<italic>E</italic>
</sub>, a perigee of 1.8&#x20;R<sub>
<italic>E</italic>
</sub>, and the inclination of 86&#xb0;. The Polar/TIMAS instrument aimed to measure particles with energy between 15&#xa0;eV/e&#x2013;33&#xa0;keV/e (<xref ref-type="bibr" rid="B62">Shelley et&#x20;al., 1995</xref>). The mass spectra from TIMAS have been analysed with the help of color-coded count rates versus time and mass step at all energy channels, which allowed the separation of molecular ions from atomic O<sup>&#x2b;</sup> and N<sup>&#x2b;</sup> ions. However, due to the detection limit of the instrument, for particles with energies below 5&#xa0;keV/e, the <inline-formula id="inf58">
<mml:math id="m58">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
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<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
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</mml:msubsup>
</mml:math>
</inline-formula>, NO<sup>&#x2b;</sup>, and <inline-formula id="inf59">
<mml:math id="m59">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> ions were not successfully distinguished (<xref ref-type="bibr" rid="B42">Lennartsson et&#x20;al., 2000</xref>). A statistical study based on the first 22&#xa0;months of data from TIMAS showed that the energy distribution of molecular ions were identical with O<sup>&#x2b;</sup> ions, with the typical energy between 15&#x2013;110&#xa0;eV. However, the differential fluxes of molecular ions, &#x223c; 10<sup>5</sup>&#xa0;cm<sup>&#x2212;2</sup>s<sup>&#x2212;1</sup>, were two orders of magnitude lower than that of O<sup>&#x2b;</sup> ions. Furthermore, the detection frequency of molecular ions was determined to be more sensitive with the enhanced geomagnetic activity, than the O<sup>&#x2b;</sup> detection. Therefore, the pathway and energization mechanisms of molecular ions were different from those of O<sup>&#x2b;</sup>, as they seem to be more specifically associated with enhanced geomagnetic activity (<xref ref-type="bibr" rid="B42">Lennartsson et&#x20;al., 2000</xref>).</p>
<p>Surprisingly, molecular ions had been observed by the Acceleration, Reconnection, Turbulence, and Electrodynamics of the Moon&#x2019;s Interaction with the Sun (ARTEMIS) spacecraft, whose orbit is centered around the Moon, with periselene between 10&#x2013;1,000&#xa0;km and aposelene of 20,000&#xa0;km (10 lunar radii) (<xref ref-type="bibr" rid="B2">Angelopoulos, 2010</xref>). Based on measurements from the electrostatic analyzer (ESA), <xref ref-type="bibr" rid="B53">Poppe et&#x20;al. (2016)</xref> analyzed the ion composition data around 60&#x20;R<sub>
<italic>E</italic>
</sub> away from the Earth during the storm of October 1, 2012 (Max Kp &#x3d; 7, Min Dst &#x3d; &#x2212;122&#xa0;nT) and storm of February 16, 2014 (Max Kp &#x3d; 6, Min Dst &#x3d; &#x2212;119&#xa0;nT). This study revealed that the fluxes of molecular ions were on the order of 10<sup>5</sup>&#x2013;10<sup>6</sup>&#xa0;cm<sup>&#x2212;2</sup>&#xa0;s<sup>&#x2212;1</sup>, while the proton fluxes were found to yield &#x223c; 10<sup>6</sup>&#x2013;10<sup>8</sup>&#xa0;cm<sup>&#x2212;2</sup>&#xa0;s<sup>&#x2212;1</sup>, suggesting that molecular ions might have comparable velocities with those of protons. These observations of energetic molecular ions from ARTEMIS hint to the connection between Earth&#x2019;s ionospheric outflow and the composition of lunar exosphere, since the Earth could possibly deliver the nitrogen and oxygen components to the lunar volatile inventory (<xref ref-type="bibr" rid="B53">Poppe et&#x20;al., 2016</xref>).</p>
<p>Recent observations based on the data from the Arase (Exploration of energization and Radiation in Geospace, ERG) satellite reveal frequent presence of molecular ions in the inner magnetosphere during storm times. Launched on December 20, 2016, the Arase (ERG) satellite was designed to directly observe high energy particles in the magnetosphere (<xref ref-type="bibr" rid="B45">Miyoshi et&#x20;al., 2018</xref>). The low-energy particle experiments-ion mass analyzer (LEPi) (<xref ref-type="bibr" rid="B3">Asamura et&#x20;al., 2018</xref>) and medium-energy particle experiments-ion mass analyzer (MEPi) (<xref ref-type="bibr" rid="B84">Yokota et&#x20;al., 2017</xref>) on board the Arase (ERG) satellite were capable of measuring the three-dimensional velocity distribution of ions in the energy range of 0.01&#x2013;25 keV/q as well as 10&#x2013;180 keV/q with ions species discrimination, including N<sup>&#x2b;&#x2b;</sup>/O<sup>&#x2b;&#x2b;</sup>, N<sup>&#x2b;</sup>/O<sup>&#x2b;</sup>, and <inline-formula id="inf60">
<mml:math id="m60">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>/NO<sup>&#x2b;</sup>/<inline-formula id="inf61">
<mml:math id="m61">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>. Based on the molecular ions measurements by LEPi and MEPi from March to December 2017, including 11 geomagnetic storms, molecular ions were frequently observed at L &#x3d; 2.5&#x2013;6.6 with energies above &#x223c; 12&#xa0;keV during most magnetic storms, and the average energy density ratio of the molecular ions to O<sup>&#x2b;</sup> was found to be &#x223c; 3% (<xref ref-type="bibr" rid="B60">Seki et&#x20;al., 2019</xref>). The high occurrence rate of molecular ions in the inner magnetosphere indicates that fast ion outflows occur more frequently than expected during the storm time, while previous studies assumed the molecular ions were only observed during intense storms (the minimum Dst &#x2264; -100&#xa0;nT).</p>
<p>The convection and energization mechanisms of molecular ions are likely to be different between the high-altitude ionosphere and magnetosphere. The molecular ions were observed to follow the similar energy distribution to O<sup>&#x2b;</sup> by the Polar/TIMAS instrument (<xref ref-type="bibr" rid="B42">Lennartsson et&#x20;al., 2000</xref>), but had similar velocity distribution to O<sup>&#x2b;</sup> as observed by the Geotail/EPIC instrument and the ARTEMIS spacecraft (<xref ref-type="bibr" rid="B10">Christon et&#x20;al., 1994</xref>; <xref ref-type="bibr" rid="B53">Poppe et&#x20;al., 2016</xref>). In the high-altitude ionosphere, both O<sup>&#x2b;</sup> and molecular ions with the escape energy (&#x2265;10&#xa0;eV) can overcome the gravitational bound and flow out the Earth&#x2019;s ionosphere. Therefore, the energy distribution of these outflowing O<sup>&#x2b;</sup> and molecular ions will be likely similar. On the other hand, O<sup>&#x2b;</sup> and molecular ions in the magnetotail are possibly energized by the earthward <bold>E</bold> &#xd7; <bold>B</bold> transport, which are charge and mass independent. Thus, O<sup>&#x2b;</sup> and molecular ions can likely follow a similar velocity distribution in the magnetotail region.</p>
<p>Instrument limitations on board these spacecrafts brought some difficulties to the study of the cold plasma and the behavior of minor ion species in the ionosphere-magnetosphere system. For example, the minimum detection densities of ions for OGO and AE spacecrafts were 10&#xa0;cm<sup>&#x2212;3</sup> and thus, the region with the molecular ions densities &#x2264;10&#xa0;cm<sup>&#x2212;3</sup> couldn&#x2019;t be detected. In addition, measurements of cold molecular ions in the magnetosphere are particularly difficult due to spacecraft surface charging, as the ions energy &#x2264;10&#xa0;eV had the difficulty to be fully resolved by the instruments. Nevertheless, multiple studies report on their occurrence both in the ionosphere and the magnetosphere, spanning a large energy range and radial distances.</p>
</sec>
<sec id="s4">
<title>4 Discussion</title>
<p>Although several observations reveal that molecular ions are frequently observed in the high-latitude ionosphere and the magnetosphere, having energies of the order of eV to keV, the source and energization mechanisms leading to the outflow of these molecular ions in response to various geomagnetic conditions, are not yet fully understood. In this section, we will further explore the source and energization of outflowing molecular ions in the Earth&#x2019;s ionosphere-magnetosphere system.</p>
<sec id="s4-1">
<title>4.1 Source of Molecular Ions</title>
<p>Molecular ions outflowing from the polar wind are mainly produced in the ionosphere F2 layer through the Suprathermal Electron (SE) production, including photoionization and secondary electron impact, and ion-neutral-electron chemical reactions. In this section, we provide the altitude profile of production and loss processes for all relevant polar wind molecular ions from 200&#x2013;1,000&#xa0;km altitude. The profiles are obtained using the Seven Ion Polar Wind Outflow Model (7iPWOM) (<xref ref-type="bibr" rid="B43">Lin et&#x20;al., 2020</xref>) with the chemical reactions rates provided by <xref ref-type="bibr" rid="B54">Richards and Voglozin (2011)</xref>.</p>
<p>The 7iPWOM expanded the chemical reactions of ionospheric N<sup>&#x2b;</sup> ions in the ionosphere F2 layer, and SE production for all seven ion species, including O<sup>&#x2b;</sup>, N<sup>&#x2b;</sup> and three molecular ion species, based on the GLobal airglOW (GLOW) model (<xref ref-type="bibr" rid="B64">Solomon et&#x20;al., 1988</xref>; <xref ref-type="bibr" rid="B18">Glocer et&#x20;al., 2012</xref>) and the cross-sectional area of the neutral-electron collision provided by (<xref ref-type="bibr" rid="B24">Gronoff et&#x20;al., 2012b</xref>,<xref ref-type="bibr" rid="B23">a</xref>). The neutrals number density are obtained from NRLMSISE-00 empirical model. However, the 7iPWOM included neutral NO, NO(<sup>2</sup>D), N(<sup>2</sup>D) and N(<sup>4</sup>S) density based on the neutral density of the simulation results from the Global ionosphere Thermosphere Model (GITM) (<xref ref-type="bibr" rid="B55">Ridley et&#x20;al., 2006</xref>).</p>
<p>The chemistry scheme of the 7iPWOM includes all relevant reactions with the chemical reactions rates provided by <xref ref-type="bibr" rid="B54">Richards and Voglozin (2011)</xref>. Since the charge exchange between O<sup>&#x2b;</sup>(<sup>2</sup>D) and N<sub>2</sub> is the main source to produce <inline-formula id="inf62">
<mml:math id="m62">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> in the ionosphere above 200&#xa0;km altitude (<xref ref-type="bibr" rid="B72">Torr and Orsini, 1978</xref>), the 7iPWOM calculates this charge exchange reaction rate by deriving O<sup>&#x2b;</sup>(<sup>2</sup>D) from the Global ionosphere Thermosphere Model (GITM). In order to illustrate the influence of solar conditions to the molecular ions chemistry, we present here the production and loss rate of the molecular ions based on the steady state of the 7iPWOM quiet time solution during the Solar Maximum (F10.7 &#x3d; 180&#x20;&#xd7; 10<sup>&#x2013;22</sup> WHz/m<sup>2</sup>) and Minimum (F10.7 &#x3d; 80&#x20;&#xd7; 10<sup>&#x2013;22</sup> WHz/m<sup>2</sup>) summer noon, shown in <xref ref-type="fig" rid="F10">Figure&#x20;10</xref>. The steady state of summer noon conditions are represented by the solution of a single field line, for which the foot point is located in 80&#xb0; latitude and 12 MLT, initialized for 24&#xa0;h to achieve steady state. Since molecular ions became the minor ion species above 1,000&#xa0;km, and their detection in the polar wind during the quiet times at this altitude was reported to be challenging (<xref ref-type="bibr" rid="B13">Craven et&#x20;al., 1985</xref>; <xref ref-type="bibr" rid="B10">Christon et&#x20;al., 1994</xref>), here we only present the altitude profiles for molecular ions production and loss at 200&#x2013;1,000&#xa0;km altitudes.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Comparison of ion production (colored lines) and loss (grey lines) reactions between 200 and 1,000&#xa0;km altitude range, based on the 7iPWOM simulation results during solar maximum <bold>(left column)</bold> and minimum <bold>(right column)</bold> summer noon. The diagram on the left-hand side shows various chemical reactions of productions and losses of molecular ions and the thickness of the arrows represents the magnitude of reactions rates (cm<sup>&#x2212;3</sup>s<sup>&#x2212;1</sup>).</p>
</caption>
<graphic xlink:href="fspas-08-745357-g010.tif"/>
</fig>
<p>The right-hand side of <xref ref-type="fig" rid="F10">Figure&#x20;10</xref> shows the various chemical reactions contributing to the production and loss of <inline-formula id="inf63">
<mml:math id="m63">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
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</mml:math>
</inline-formula> (top row), NO<sup>&#x2b;</sup> (center row), and <inline-formula id="inf64">
<mml:math id="m64">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> (bottom row). Each column represents the simulation results of 7iPWOM during Solar Maximum and Solar Minimum from left to right. The production of molecular <inline-formula id="inf65">
<mml:math id="m65">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> (dark red line), NO<sup>&#x2b;</sup> (purple line), <inline-formula id="inf66">
<mml:math id="m66">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> (brown line) ions takes place via photoionization, secondary electron impact, and various ion-neutral-electron chemical reactions, while the losses of molecular ions (grey lines) occur either via dissociative recombination with e<sup>&#x2212;</sup> to form the neutral species or via various ion-neutral-electron chemical reactions. The diagrams on the left-hand side of <xref ref-type="fig" rid="F10">Figure&#x20;10</xref> list the relevant ionospheric chemistry related to molecular <inline-formula id="inf67">
<mml:math id="m67">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> (dark red), NO<sup>&#x2b;</sup> (purple), <inline-formula id="inf68">
<mml:math id="m68">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> (brown) ions. The participating ion species are marked by colored text, including O<sup>&#x2b;</sup> (blue), N<sup>&#x2b;</sup> (orange), He<sup>&#x2b;</sup> (dark green) and e<sup>&#x2212;</sup> (red). The colored arrows represents the chemical production of molecular ions, while the grey arrows show their losses via chemical reactions. The thickness of these arrows indicates the efficiency of said reaction rates based on the quiet time simulation results of the 7iPWOM (right-hand side of <xref ref-type="fig" rid="F10">Figure&#x20;10</xref>). Below, we will further explore the ionospheric chemistry of each molecular ion species.</p>
<sec id="s4-1-1">
<title>4.1.1 The Ionospheric Chemistry of <inline-formula id="inf69">
<mml:math id="m69">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
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</mml:math>
</inline-formula>
</title>
<p>During Solar Maximum conditions, the main contributors to the production of <inline-formula id="inf70">
<mml:math id="m70">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> ions in the altitude range of 200&#x2013;1,000&#xa0;km are the SE production (dark red solid line) and the charge exchange between O<sup>&#x2b;</sup>(<sup>2</sup>D) and N<sub>2</sub> (dark red triangle line). <inline-formula id="inf71">
<mml:math id="m71">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> are mostly lost due to dissociative recombination with electrons and charge exchange between <inline-formula id="inf72">
<mml:math id="m72">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> and neutral O species, reactions that are leading to the production of N, and N<sub>2</sub> neutral species, and NO<sup>&#x2b;</sup> and <inline-formula id="inf73">
<mml:math id="m73">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> ions. During Solar Maximum condition, the production and loss rates of <inline-formula id="inf74">
<mml:math id="m74">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> varied more than from Solar Minimum case. Therefore, during Solar Minimum, the <inline-formula id="inf75">
<mml:math id="m75">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> production rates via SE production and the charge exchange between O<sup>&#x2b;</sup>(<sup>2</sup>D) and N<sub>2</sub> could impede the losses of <inline-formula id="inf76">
<mml:math id="m76">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
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</mml:math>
</inline-formula> from dissociative recombination (grey dashed line) during the Solar Maximum, while these two production rates of <inline-formula id="inf77">
<mml:math id="m77">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
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<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> were only larger than dissociative losses of <inline-formula id="inf78">
<mml:math id="m78">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> below 500&#xa0;km during Solar Minimum.</p>
</sec>
<sec id="s4-1-2">
<title>4.1.2 The Ionospheric Chemistry of NO<sup>&#x2b;</sup>
</title>
<p>NO<sup>&#x2b;</sup> is produced through a multitude of chemical reactions, with rates largely affected by the solar activity. The production rates of NO<sup>&#x2b;</sup> due to charge exchange between <inline-formula id="inf79">
<mml:math id="m79">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> and O (purple cross marker line) and charge exchange between O<sup>&#x2b;</sup> and N<sub>2</sub> (purple dotted line) were comparable during Solar Maximum; however, the reaction rate of charge exchange between <inline-formula id="inf80">
<mml:math id="m80">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> and O was at least one order of magnitude than other reactions during Solar Minimum. The SE production of NO<sup>&#x2b;</sup> is not very important both during the solar maximum and minimum as it is only the third or fourth important reactions, which followed the same conclusion of NO<sup>&#x2b;</sup> ionospheric chemistry by the study of <xref ref-type="bibr" rid="B54">Richards and Voglozin (2011)</xref>. Moreover, dissociative recombination rates of NO<sup>&#x2b;</sup> (grey solid lines) was the only reaction to remove NO<sup>&#x2b;</sup> from the ionosphere F2 layer. Since the dissociative recombination rate of NO<sup>&#x2b;</sup> was generally one order of magnitude larger at the low altitude and five orders of magnitude larger at 1,000&#xa0;km altitude, the NO<sup>&#x2b;</sup> ions densities decreased substantially from 200 to 1,000&#xa0;km altitude.</p>
</sec>
<sec id="s4-1-3">
<title>4.1.3 The Ionospheric Chemistry of <inline-formula id="inf81">
<mml:math id="m81">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>
</title>
<p>The loss of <inline-formula id="inf82">
<mml:math id="m82">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> ions in the ionosphere F2 layer is due to the dissociative recombination with electrons (grey solid line), and the loss of <inline-formula id="inf83">
<mml:math id="m83">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> produces the neutral O species and molecular NO<sup>&#x2b;</sup> ions, with minor N<sup>&#x2b;</sup> ions species. Similar to the case of <inline-formula id="inf84">
<mml:math id="m84">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> ions, solar activity also alters the ionospheric chemistry of <inline-formula id="inf85">
<mml:math id="m85">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> ions. During Solar Maximum condition, the <inline-formula id="inf86">
<mml:math id="m86">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> production rates due to the SE production (brown solid line) and the charge exchange of O<sup>&#x2b;</sup> or N<sup>&#x2b;</sup> ions with the neutral O<sub>2</sub> (brown dashed and triangle lines), could impede the <inline-formula id="inf87">
<mml:math id="m87">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> losses of dissociative recombination. However, during Solar Minimum, the dissociative recombination can be at least one order of magnitude larger than the production rates of <inline-formula id="inf88">
<mml:math id="m88">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>.</p>
<p>The above analysis of the productions and losses of molecular NO<sup>&#x2b;</sup>, <inline-formula id="inf89">
<mml:math id="m89">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> and <inline-formula id="inf90">
<mml:math id="m90">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> ions between 200&#x2013;1,000&#xa0;km altitude range with the observations results in <xref ref-type="sec" rid="s2">Sections 2</xref>, <xref ref-type="sec" rid="s3">3</xref>, we can conclude that:<list list-type="simple">
<list-item>
<p>&#x2022; The SE productions of molecular <inline-formula id="inf91">
<mml:math id="m91">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>, NO<sup>&#x2b;</sup>, <inline-formula id="inf92">
<mml:math id="m92">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> are not the dominant chemical reactions for the production of NO<sup>&#x2b;</sup> and <inline-formula id="inf93">
<mml:math id="m93">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> in the ionosphere F2 layer, consistent with previous findings (<xref ref-type="bibr" rid="B54">Richards and Voglozin, 2011</xref>).</p>
</list-item>
<list-item>
<p>&#x2022; The chemical reactions leading to the loss of O<sup>&#x2b;</sup> are also leading to the production of NO<sup>&#x2b;</sup> and therefore, the presence of NO<sup>&#x2b;</sup> leads to the increasing ratio of N<sup>&#x2b;</sup>/O<sup>&#x2b;</sup> in the ionosphere, as observed by <xref ref-type="bibr" rid="B31">Hoffman et&#x20;al. (1974)</xref>; <xref ref-type="bibr" rid="B82">Yau et&#x20;al. (1993)</xref>; <xref ref-type="bibr" rid="B76">Wilson and Craven (1999)</xref>.</p>
</list-item>
<list-item>
<p>&#x2022; The chemical reactions leading to the loss of <inline-formula id="inf94">
<mml:math id="m94">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> are also leading to the production of NO<sup>&#x2b;</sup> and neutral N<sub>2</sub> species, causing an increase in the neutral N<sub>2</sub> density in the low-altitude ionosphere, as reported in DE-2 measurements (<xref ref-type="bibr" rid="B76">Wilson and Craven, 1999</xref>).</p>
</list-item>
</list>
</p>
</sec>
</sec>
<sec id="s4-2">
<title>4.2 Possible Energization Mechanisms</title>
<p>Molecular ions are required to be energized in a very short time once produced either by the SE production or reactions with neutral species, in order to impede with their fast dissociative recombination with electrons in the ionosphere F2 layer. Ionospheric observations of molecular ions by OGO and AE spacecraft missions showed that the abrupt enhancements of molecular ions densities in the region of HLTs were often accompanied by the decrease of O<sup>&#x2b;</sup> ion densities, and an increase in the electron temperature and energetic particle flux. Therefore, fast molecular ions outflow were produced by the rapid losses of O<sup>&#x2b;</sup> due to strong electric field and energized by the enhancement of soft electron precipitation associated with the polar cap region in the ionosphere (<xref ref-type="bibr" rid="B69">Taylor et&#x20;al., 1975</xref>; <xref ref-type="bibr" rid="B22">Grebowsky et&#x20;al., 1976</xref>; <xref ref-type="bibr" rid="B7">Brinton et&#x20;al., 1978</xref>; <xref ref-type="bibr" rid="B21">Grebowsky et&#x20;al., 1983</xref>).</p>
<p>Several studies have focused on the effect of ion frictional heating (ion-neutral collisions) due to strong electric convection field (<xref ref-type="bibr" rid="B58">Schunk et&#x20;al., 1975</xref>; <xref ref-type="bibr" rid="B76">Wilson and Craven, 1999</xref>; <xref ref-type="bibr" rid="B56">Schunk and Nagy, 2009</xref>; <xref ref-type="bibr" rid="B85">Zettergren et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B86">Zettergren et&#x20;al., 2011</xref>). As ions are convected through the slower moving neutral gas with <bold>E</bold> &#xd7; <bold>B</bold> drift, they are heated through the ion-neutral collision, which leads to an increase in the ion temperatures. This in turn facilitates an increase in the chemical reactions rates in the ionosphere, and therefore also facilitates the production of molecular ions. As the convection electric field (E<sub>&#x22a5;</sub>) approaches 50&#xa0;mV&#xa0;m<sup>&#x2212;1</sup>, the ion temperature substantially increases, leading to the enhancement of O<sup>&#x2b;</sup> &#x2b; N<sub>2</sub> &#x2192; N &#x2b; NO<sup>&#x2b;</sup> reaction rate. Numerical simulations suggest that when E<sub>&#x22a5;</sub> approaches to 200&#xa0;mV&#xa0;m<sup>&#x2212;1</sup>, the loss of O<sup>&#x2b;</sup> causes rapid enhancement of NO<sup>&#x2b;</sup> ion density. Therefore, NO<sup>&#x2b;</sup> ions could become the dominant ion species in the high-latitude ionosphere up to 600&#xa0;km altitude (<xref ref-type="bibr" rid="B58">Schunk et&#x20;al., 1975</xref>).</p>
<p>The ion frictional heating of molecular ions outflow due to strong convection electric field was also investigated with the near-conjunction measurement of the DE-1 and DE-2 spacecraft missions (<xref ref-type="bibr" rid="B76">Wilson and Craven, 1999</xref>). By selecting the events when both spacecrafts passed through similar latitudes and longitudes, measurements of neutral species composition and temperature from the low-altitude DE-2 mission (335&#x2013;746&#xa0;km altitude range) were analyzed in conjunction with measurements of N<sup>&#x2b;</sup>, O<sup>&#x2b;</sup> and molecular ions densities in the high altitude region observed by the DE-1 (1,000&#x2013;4,000&#xa0;km altitude range). The results showed that the increased molecular ions densities observed in the high altitude region by DE-1 were always accompanied by the enhancements of ions temperatures and strong electric fields in the low altitude region by DE-2. This points out the molecular ions outflow could be sourced and energized by the strong cusp associated plasma convection, which also modified the composition of the ionosphere and thermosphere.</p>
<p>Studies using the European Incoherent Scatter (EISCAT) data of ion velocity and temperature also suggest that ion frictional heating plays an important role in the molecular ions upflow. Based on the frequent observations of molecular ions in the innermagnetosphere by the Arase satellite during multiple storm times (<xref ref-type="bibr" rid="B60">Seki et&#x20;al., 2019</xref>), <xref ref-type="bibr" rid="B66">Takada et&#x20;al. (2021)</xref> further determined the energization supplied to ionospheric molecular ions with the ion velocity and temperature data from the EISCAT Ultra High Frequency (UHF) radar (933&#xa0;MHz) at Troms&#xf8; (located at &#x223c; 70&#xb0; latitude). The measurement of temperature and velocity of ions were more than 2000&#xa0;K and &#x223c; 50&#x2013;150&#xa0;m/s at 250&#x2013;350&#xa0;km altitude, and the flux of molecular ions at 350&#xa0;km altitude was two orders of magnitude higher than during nominal conditions, at which time the convection electric field increased a factor of 2. By examining the momentum equation of ions, the ion and electron pressure gradients were balanced with the gravitational force and thus, the ion frictional heating could be a possible energization mechanism of low-altitude molecular ions upflow.</p>
<p>Molecular ions observed at 300&#x2013;1,000&#xa0;km altitudes were also energized by ion resonance heating, enhancement of soft electron precipitation occurring in the cusp region, or the plasma instabilities and the role of various energization mechanisms acting on the molecular ion populations in the 300&#x2013;500&#xa0;km altitude during multiple storm times were examined by <xref ref-type="bibr" rid="B52">Peterson et&#x20;al. (1994)</xref>. This study estimated that in this region, the lifetime of molecular ions due to recombination reactions is about few minutes, but the time needed to acquire sufficient escape energy (&#x223c; 10&#xa0;eV) at the 400&#xa0;km, solely by the ion frictional heating or resonance heating, was at least one order of magnitude more than the lifetime of molecular ions. Therefore, we currently lack a robust understanding of the possible mechanisms responsible to the acceleration of these heavy ions species.</p>
<sec id="s4-2-1">
<title>4.2.1 Unresolved Issues of Energization Mechanisms of Fast Molecular Ions Outflow</title>
<p>The observed outflow of molecular ions implies the existence of energization mechanisms that can provide the additional escape energy (of at least &#x223c;10&#xa0;eV) at comparable timescales with losses of molecular ions, and it is likely that these potential energization mechanisms are acting concomitantly, even though they might take place at different altitudes. However, the relative contributions of these energization mechanisms responsible for the molecular ions outflow are still difficult to assess due to the scarceness of observations, also linked to instrument limitations. For example, observations of particle precipitation with energies up to 1&#xa0;keV by the Low Altitude Plasma Instrument (LAPI) on board the DE-2 were concurrent with the observation of molecular ions in the high altitude ionosphere (<xref ref-type="bibr" rid="B76">Wilson and Craven, 1999</xref>). Moreover, it has been suggested that the ionospheric plasma instabilities driven by magnetospheric electron precipitation could possibly energize molecular ions in the ionosphere (<xref ref-type="bibr" rid="B52">Peterson et&#x20;al., 1994</xref>). However, due to the small scales of particle precipitation as well as low frequency waves, the instruments on board the DE-2 and Akebono couldn&#x2019;t resolve the spectrum with such high resolution.</p>
<p>There is also a need for additional observations of molecular ions in the magnetosphere, in order to understand the mechanisms responsible for their energization from eVs to keVs. Observations of molecular ions indicate that they could achieve &#x223c; 5&#xa0;eV at 4,000&#xa0;km altitude, but their escape energies are typically between 10&#x2013;20&#xa0;eV. This indicates that outflowing molecular ions need to acquire additional 5&#xa0;eV above 4,000&#xa0;km altitude (<xref ref-type="bibr" rid="B76">Wilson and Craven, 1999</xref>). Moreover, the molecular ion energies could be observed up to 100&#xa0;eV in the high-altitude ionosphere (<xref ref-type="bibr" rid="B42">Lennartsson et&#x20;al., 2000</xref>) and 100&#xa0;keV in the outer magnetosphere (<xref ref-type="bibr" rid="B10">Christon et&#x20;al., 1994</xref>). This suggests that the further energization mechanisms of molecular ions takes place in the magnetosphere as well. Furthermore, the observed molecular ions in the high-latitude ionosphere had similar energy distributions to that of O<sup>&#x2b;</sup> ions (<xref ref-type="bibr" rid="B42">Lennartsson et&#x20;al., 2000</xref>). This indicates that outflowing molecular ions in the ionosphere are required to obtain more energy than outflowing O<sup>&#x2b;</sup> ions, most likely by the mass selection mechanisms that heat the heavier ions preferentially.</p>
<p>One possible mass selection mechanisms to energize the molecular ions preferentially above 1,000&#xa0;km is the resonant wave-particle interaction (WPI), which is considered to be a major pathway of ion heating and acceleration, both in the cusp and auroral region (<xref ref-type="bibr" rid="B1">Andre and Yau, 1997</xref>). The energization of ion outflow via WPI is caused by the electric field perturbation, perpendicular to the magnetic field, which leads to an increase in the ion perpendicular velocity in a very short time. Therefore, these energized particles move upward along the field lines and form ion conics, due to the acceleration by magnetic mirror force. The gyro-frequency of ions, inversely proportional to the mass, is resonant with the low frequency wave, meaning that molecular ions are preferentially heated via WPI. Although the efficacy of WPI in the energization of molecular ion species remains largely unknown, several studies addressed the energization of O<sup>&#x2b;</sup> ions via WPI. For example, multiple observations from the Akebono, Interball-2 and Cluster satellites report on the abrupt energization of O<sup>&#x2b;</sup> from 10&#xa0;eV to 10&#xa0;keV at 4.3&#x20;R<sub>
<italic>E</italic>
</sub> in 10&#xa0;min (<xref ref-type="bibr" rid="B6">Bouhram et&#x20;al., 2004</xref>). Quasi-linear theory supports the hypothesis that the abrupt enhancements of O<sup>&#x2b;</sup> energy along the magnetic field lines are due to WPI (<xref ref-type="bibr" rid="B14">Crew et&#x20;al., 1990</xref>). Since the diffusion coefficient is inversely proportional to the mass of ions, molecular ions are expected to be preferentially energized by the resonant&#x20;WPI.</p>
</sec>
</sec>
</sec>
<sec id="s5">
<title>5 Conclusion</title>
<p>
<xref ref-type="table" rid="T3">Table&#x20;3</xref> summarizes the existing observational data sets of molecular ions from past and currently operating spacecraft missions, covering altitudes from few hundred kilometers to hundreds of Earth radii. These observations of molecular ions in the ionosphere-magnetosphere system suggest that:<list list-type="simple">
<list-item>
<p>1. The densities of molecular ions in the polar ionosphere at altitudes between 200&#x2013;1,000&#xa0;km were reported to be 0.1&#x2013;1% of O<sup>&#x2b;</sup> densities; however, during geomagnetically active times, the abrupt enhancement of molecular ions densities in the high latitude troughs (whose latitudes were aligned with auroral activity) could reach about 10% of O<sup>&#x2b;</sup> ion densities.</p>
</list-item>
<list-item>
<p>2. The possibility of detecting molecular ions in the magnetosphere was nearly zero during the quiet times; however, during geomagnetically active times they were frequently detected both in the inner and outer magnetosphere. The molecular ions fluxes were generally less than two orders of magnitude than that of O<sup>&#x2b;</sup>.</p>
</list-item>
<list-item>
<p>3. The increase in molecular ions densities or fluxes were often accompanied by a high ratio of N<sup>&#x2b;</sup>/O<sup>&#x2b;</sup> in the ionosphere-magnetosphere system. This indicates that the presence of molecular ions could impact the abundances of N<sup>&#x2b;</sup> and O<sup>&#x2b;</sup> ions, and can act as a reference to investigate the energization of heavy ions in the polar&#x20;wind.</p>
</list-item>
</list>
</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Mission details, including the information of orbit, launch and decay date, as well as the observed density ratio of (NO<sup>&#x2b;</sup>&#x2b;<inline-formula id="inf95">
<mml:math id="m95">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>&#x2b;<inline-formula id="inf96">
<mml:math id="m96">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>)/O<sup>&#x2b;</sup> during the storm time only (if not specified). ARTEMIS is currently centered at the Moon and thus, the perigee and apogee are refereed as periselene and aposelene. Cross marker, x, in a cell indicates that the data are unavailable or not relevant.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="1" align="left">Mission</th>
<th colspan="1" align="center">Lifetime</th>
<th colspan="4" align="center">Orbit</th>
<th colspan="1" align="center">Energy range</th>
<th colspan="1" align="center">Molecular ions/O<sup>&#x2b;</sup>
</th>
<th colspan="1" align="center">References</th>
</tr>
<tr>
<th align="left"/>
<th align="left"/>
<th align="center">Perigee</th>
<th align="center">Apogee</th>
<th align="center">Inclination</th>
<th align="center">Period</th>
<th align="left"/>
<th align="left"/>
<th align="left"/>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Sputnik 3</td>
<td align="left">Launch Date: May 15, 1958 Decay Date: April 6, 1960</td>
<td align="center">217&#xa0;km</td>
<td align="center">1864&#xa0;km</td>
<td align="center">65.18&#xb0;</td>
<td align="center">105.9&#xa0;min</td>
<td align="left">Bennett-type radio frequency quadrupole mass spectrometer</td>
<td align="center">x</td>
<td align="left">
<xref ref-type="bibr" rid="B49">Nauk and Doklady (1961)</xref>; <xref ref-type="bibr" rid="B37">Istomin (1966)</xref>
</td>
</tr>
<tr>
<td align="left">OGO 6</td>
<td align="left">Launch Date: Jun 5, 1969 Decay Date: Oct 12, 1979</td>
<td align="center">413&#xa0;km</td>
<td align="center">1,077&#xa0;km</td>
<td align="center">82&#xb0;</td>
<td align="center">99.7&#xa0;min</td>
<td align="left">Bennett-type Ion Mass spectrometer</td>
<td align="center">0.01&#x2013;0.1</td>
<td align="left">
<xref ref-type="bibr" rid="B67">Taylor (1971)</xref>; <xref ref-type="bibr" rid="B38">Jackson and Vette (1975)</xref>; <xref ref-type="bibr" rid="B70">Taylor (1974)</xref>; <xref ref-type="bibr" rid="B69">Taylor et&#x20;al. (1975)</xref>; <xref ref-type="bibr" rid="B22">Grebowsky et&#x20;al. (1976</xref>, <xref ref-type="bibr" rid="B21">1983)</xref>
</td>
</tr>
<tr>
<td align="left">ISIS 2</td>
<td align="left">Launch Date: Apr 1, 1971 Decay Date: Oct 1, 1979</td>
<td align="center">1,360&#xa0;km</td>
<td align="center">1,440&#xa0;km</td>
<td align="center">88.1&#xb0;</td>
<td align="center">113.6&#xa0;min</td>
<td align="left">Ion Mass Spectrometer</td>
<td align="center">10<sup>&#x2013;4</sup>&#x2013;0.1</td>
<td align="left">
<xref ref-type="bibr" rid="B33">Hoffman (1970)</xref>; <xref ref-type="bibr" rid="B31">Hoffman et&#x20;al. (1974)</xref>
</td>
</tr>
<tr>
<td align="left">AE-C</td>
<td align="left">Launch Date: Dec 16, 1973 Decay Date: Dec 12, 1978</td>
<td align="center">149&#xa0;km</td>
<td align="center">4,294&#xa0;km</td>
<td align="center">68.1&#xb0;</td>
<td align="center">132.3&#xa0;min</td>
<td align="left">Bennett Ion Mass spectrometer or Magnetic Ion Mass spectrometer</td>
<td align="center">10<sup>&#x2013;3</sup>&#x2013;0.1</td>
<td align="left">
<xref ref-type="bibr" rid="B8">Brinton et&#x20;al. (1973)</xref>; <xref ref-type="bibr" rid="B32">Hoffman et&#x20;al. (1973)</xref>; <xref ref-type="bibr" rid="B7">Brinton et&#x20;al. (1978)</xref>
</td>
</tr>
<tr>
<td align="left">DE-1</td>
<td align="left">Launch Date: Aug 3, 1981 Decay Date: Feb 28, 1991</td>
<td align="center">488&#xa0;km</td>
<td align="center">23,289&#xa0;km</td>
<td align="center">89.9&#xb0;</td>
<td align="center">409&#xa0;min</td>
<td align="left">Retarding Ion Mass Spectrometer (RIMS) 0&#x2013;45&#xa0;eV</td>
<td align="center">x</td>
<td align="left">
<xref ref-type="bibr" rid="B9">Chappell et&#x20;al. (1982)</xref>; <xref ref-type="bibr" rid="B13">Craven et&#x20;al. (1985)</xref>; <xref ref-type="bibr" rid="B76">Wilson and Craven (1999)</xref>
</td>
</tr>
<tr>
<td align="left">AMPTE/IRM</td>
<td align="left">Launch Date: Aug 16, 1984 Decay Date: Aug 14, 1986</td>
<td align="center">6,944.89&#xa0;km</td>
<td align="center">119,965.93&#xa0;km</td>
<td align="center">28.6&#xb0;</td>
<td align="center">2,658&#xa0;min</td>
<td align="left">Suprathermal Energy ionic Charge Analyzer (SULEICA) 5&#x2013;270&#xa0;keV/e</td>
<td align="center">&#x2264;0.03</td>
<td align="left">
<xref ref-type="bibr" rid="B28">Hausler et&#x20;al. (1985)</xref>; <xref ref-type="bibr" rid="B46">Mobius et&#x20;al. (1985)</xref>; <xref ref-type="bibr" rid="B40">Klecker et&#x20;al. (1986)</xref>
</td>
</tr>
<tr>
<td align="left">Akebono</td>
<td align="left">Launch Date: Feb 21, 1989 Decay Date: Apr 23, 2015</td>
<td align="center">275&#xa0;km</td>
<td align="center">10,500&#xa0;km</td>
<td align="center">75&#xb0;</td>
<td align="center">211&#xa0;min</td>
<td align="left">Suprathermal Ion Mass Spectrometer (SMS) 0&#x2013;25.5&#xa0;eV; 55&#xa0;eV/q&#x2013;4.1&#xa0;keV/q</td>
<td align="center">&#x2264;0.1</td>
<td align="left">
<xref ref-type="bibr" rid="B73">Tsuruda and Oya (1991)</xref>; <xref ref-type="bibr" rid="B74">Whalen et&#x20;al. (1990)</xref>; <xref ref-type="bibr" rid="B82">Yau et&#x20;al. (1993)</xref>; <xref ref-type="bibr" rid="B52">Peterson et&#x20;al. (1994)</xref>
</td>
</tr>
<tr>
<td align="left">Geotail</td>
<td align="left">Launch Date: July 24, 1992</td>
<td align="center">51,328&#xa0;km</td>
<td align="center">190,664&#xa0;km</td>
<td align="center">10.51&#xb0;</td>
<td align="center">7,539.86&#xa0;min</td>
<td align="left">Suprathermal Ion Composition Spectrometer (STICS) 9.4&#x2013;210&#xa0;keV/e</td>
<td align="center">Energy Flux &#x2264;10<sup>&#x2013;3</sup>
</td>
<td align="left">
<xref ref-type="bibr" rid="B50">Nishida (1994)</xref>; <xref ref-type="bibr" rid="B10">Christon et&#x20;al. (1994)</xref>; <xref ref-type="bibr" rid="B75">Williams et&#x20;al. (1994)</xref>; <xref ref-type="bibr" rid="B11">Christon et&#x20;al. (2020)</xref>
</td>
</tr>
<tr>
<td align="left">Polar</td>
<td align="left">Launch date: Feb 24, 1996 Deactivated Date: Apr 28, 2008</td>
<td align="center">185&#xa0;km</td>
<td align="center">50,551&#xa0;km</td>
<td align="center">85.9&#xb0;</td>
<td align="center">938.1&#xa0;min</td>
<td align="left">Toroidal Imaging Mass-Angle Spectrograph (TIMAS) 0&#x2013;40&#xa0;KeV/e</td>
<td align="center">&#x2264;10<sup>&#x2013;2</sup>
</td>
<td align="left">
<xref ref-type="bibr" rid="B62">Shelley et&#x20;al. (1995)</xref>; <xref ref-type="bibr" rid="B42">Lennartsson et&#x20;al. (2000)</xref>
</td>
</tr>
<tr>
<td align="left">ARTEMIS (THEMIS B and C) (centered at Moon)</td>
<td align="left">Launch date: Feb 17, 2007</td>
<td align="center">&#x223c; 10&#x2013;1,000&#xa0;km</td>
<td align="center">&#x223c; 20,000&#xa0;km</td>
<td align="center">x</td>
<td align="center">1,650&#xa0;min</td>
<td align="left">Electrostatic Analyzer (ESA) 5 eV&#x2013;25&#xa0;keV</td>
<td align="center">x</td>
<td align="left">
<xref ref-type="bibr" rid="B2">Angelopoulos (2010)</xref>; <xref ref-type="bibr" rid="B53">Poppe et&#x20;al. (2016)</xref>
</td>
</tr>
<tr>
<td align="left">e-POP</td>
<td align="left">Launch Date: Sept 29, 2013</td>
<td align="center">325&#xa0;km</td>
<td align="center">1,500&#xa0;km</td>
<td align="center">81&#xb0;</td>
<td align="center">103&#xa0;min</td>
<td align="left">Imaging and Rapid-Scanning Ion Mass Spectrometer (IRM); measures the composition and 3-dimensional velocity distributions of low-energy (1&#x2013;90&#xa0;eV/e) ions in the mass-per-charge (M/q) range of 1&#x2013;40 AMU/e</td>
<td align="center">x</td>
<td align="left">
<xref ref-type="bibr" rid="B81">Yau et&#x20;al. (2006)</xref>; <xref ref-type="bibr" rid="B80">Yau and Howarth (2016)</xref>; <xref ref-type="bibr" rid="B16">Foss and Yau (2019)</xref>
</td>
</tr>
<tr>
<td align="left">Arase (ERG)</td>
<td align="left">Launch Date: Dec 20, 2016</td>
<td align="center">460&#xa0;km</td>
<td align="center">32,110&#xa0;km</td>
<td align="center">31&#xb0;</td>
<td align="center">565&#xa0;min</td>
<td align="left">Medium-energy particle ion mass analyzer (MEPi) 7&#x2013;87&#xa0;keV and low-energy particle experiments-ion mass analyzer (LEPi) 0.01&#x2013;25&#xa0;keV/q</td>
<td align="center">Energy Density &#x2264;0.03</td>
<td align="left">
<xref ref-type="bibr" rid="B45">Miyoshi et&#x20;al. (2018)</xref>; <xref ref-type="bibr" rid="B3">Asamura et&#x20;al. (2018)</xref>; <xref ref-type="bibr" rid="B60">Seki et&#x20;al. (2019)</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Magnetospheric molecular ions were only observed during the storm times, and thus, the observations of molecular ions in the high altitude region are very scarce. This leads to very little knowledge on the convection and energization of molecular ions, causing lack of understanding of their behavior and dynamics both at low and high altitudes. There seems to be an increase in the molecular ions observations in the past 10&#xa0;years, probably linked to improved mass resolution on instruments flying on current space missions. However, these observational data all occurred at the solar cycle 24, and couldn&#x2019;t fully represent the molecular ions dynamics in the Earth&#x2019;s magnetosphere-ionosphere system. Therefore, a dedicated geospace mission that would measure various plasma properties and provide detailed composition in the geospace, at all altitudes, is required in order to understand the relative contributions and the various energization mechanisms of these molecular ions throughout geospace.</p>
<p>Additionally, understanding the sources, energization mechanisms, and the overall dynamics of molecular ions in the magnetosphere-ionosphere system could possibly help understand the impact of the minor heavy ion species in the magnetosphere. Cluster (<xref ref-type="bibr" rid="B26">Haaland et&#x20;al., 2021</xref>) and Geotail (<xref ref-type="bibr" rid="B12">Christon et&#x20;al., 2017</xref>) missions have reported the observations of metal ions in the magnetosphere, but the sources and the transport mechanisms of these metal ions are still largely unknown. This review paper is intended to help inform and guide future ionosphere and magnetosphere studies, and provides context for the available observations of molecular ions. Knowledge of the different behaviors and paths of energization of heavy ions such as N<sup>&#x2b;</sup>, O<sup>&#x2b;</sup>, and molecular ions will play a crucial role in the interpretations and analysis of data from many current space missions.</p>
</sec>
</body>
<back>
<sec id="s6">
<title>Author Contributions</title>
<p>All authors listed have made a substantial, direct, and intellectual contribution to the work and approved it for publication.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>Work at University of Illinois at Urbana-Champaign was performed with financial support from AFOSR YIP award no. AF FA 9550-18-1-0195, and the NASA grants N99066ZO, 80NSSC20K1231, 80NSSC21K1425, and 3004631577. The PWOM model has been included in the Space Weather Modeling Framework, which is available for download (at <ext-link ext-link-type="uri" xlink:href="http://csem.engin.umich.edu/tools/swmf/downloads.php">http://csem.engin.umich.edu/tools/swmf/downloads.php</ext-link>). The simulation results of the GITM model has been available in the Community Coordinated Modeling Center (CCMC) webpage (at <ext-link ext-link-type="uri" xlink:href="https://ccmc.gsfc.nasa.gov/models/modelinfo.php?model=GITM">https://ccmc.gsfc.nasa.gov/models/modelinfo.php?model&#x3d;GITM</ext-link>).</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<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="s9">
<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>The authors would like to thank the reviewers for their valuable comments and suggestions to improve the quality of the&#x20;paper. The authors also thank HeRA team member Hsinju Chen for helpful suggestions and discussions on the paper.</p>
</ack>
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