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<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">AMT</journal-id><journal-title-group>
    <journal-title>Atmospheric Measurement Techniques</journal-title>
    <abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1867-8548</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/amt-19-4013-2026</article-id><title-group><article-title>Global and diurnal variations in tropospheric ammonia observed from a constellation of hyperspectral infrared sounders in three different LEO orbits</article-title><alt-title>Global and diurnal NH<sub><bold>3</bold></sub> variations</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Hua</surname><given-names>Jiancong</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhou</surname><given-names>Runyi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Sheng</surname><given-names>Mengya</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8261-621X</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Zeng</surname><given-names>Zhao-Cheng</given-names></name>
          <email>zczeng@pku.edu.cn</email>
        <ext-link>https://orcid.org/0000-0002-0008-6508</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>School of Earth and Space Sciences, Peking University, Beijing 100087, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Zhao-Cheng Zeng (zczeng@pku.edu.cn)</corresp></author-notes><pub-date><day>19</day><month>June</month><year>2026</year></pub-date>
      
      <volume>19</volume>
      <issue>12</issue>
      <fpage>4013</fpage><lpage>4033</lpage>
      <history>
        <date date-type="received"><day>7</day><month>February</month><year>2026</year></date>
           <date date-type="rev-request"><day>16</day><month>February</month><year>2026</year></date>
           <date date-type="rev-recd"><day>20</day><month>May</month><year>2026</year></date>
           <date date-type="accepted"><day>29</day><month>May</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Jiancong Hua et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://amt.copernicus.org/articles/19/4013/2026/amt-19-4013-2026.html">This article is available from https://amt.copernicus.org/articles/19/4013/2026/amt-19-4013-2026.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/19/4013/2026/amt-19-4013-2026.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/19/4013/2026/amt-19-4013-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e115">As a reactive nitrogen compound, atmospheric ammonia (<inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) plays a key role in the global nitrogen cycle. Tracking the spatiotemporal dynamics of <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is essential for quantifying its emissions and deposition and for informing the regulation of anthropogenic emission sources. Currently, the diurnal cycle of <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> remains under-constrained, particularly in regions lacking geostationary satellite observations, which poses a challenge to accurate emission quantification. To address this gap, we construct an integrated constellation to achieve quasi-geostationary-like global monitoring coverage, comprising China's FengYun-3 (FY-3) series satellites and the Cross-track Infrared Sounder (CrIS). FY-3E operates in a dawn-dusk orbit with an equatorial overpass time of 05:30/17:30 (Local Solar Time, LST), while FY-3F operates in a mid-morning orbit with an overpass time of 10:00/22:00 LST. Both satellites are equipped with the second-generation High Spectral Infrared Atmospheric Sounder (HIRAS-II). CrIS, with an overpass time of 01:30/13:30 LST, provides supplementary observations in an afternoon orbit. In this study, hyperspectral infrared observations from the constellation are utilized to retrieve global <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns based on the optimal estimation method. Six global <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> maps are retrieved per day at approximately 4 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> intervals. The retrieval results for four representative weeks in different seasons of 2024, as a demonstration, show elevated columns in major source regions, including the North China Plain, the Indo–Gangetic Plain, North America and Western Europe. In addition, the diurnal and seasonal cycles of <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> over these regions using all observations in 2024 are also investigated. The constellation captures the diurnal (every 4 <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>) and seasonal cycles of <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns, effectively mitigating the constraints in regions without geostationary observations. Further cross-comparisons with the Geostationary Interferometric Infrared Sounder (GIIRS) retrievals and ground-based Fourier transform infrared spectroscopy (FTIR) measurements demonstrate that the polar-orbiting constellation retrievals are internally consistent and broadly consistent with independent observations, supporting their capability to capture major <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> spatial patterns and temporal variability. The sensitivity of <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> detection in the lower atmosphere, quantified by the column averaging kernel (AVK), exhibits diurnal variability linked to thermal contrast, defined as the temperature difference between the surface and the lowest atmospheric layer. This study demonstrates the capability of an integrated constellation comprising FY-3E/HIRAS-II in a dawn-dusk orbit, FY-3F/HIRAS-II in a mid-morning orbit, and CrIS in an afternoon orbit to monitor global <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> distributions and diurnal variability at an unprecedented six local times per day. This approach highlights the potential of polar-orbiting meteorological satellites to enhance the global climate monitoring.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>42275142</award-id>
</award-group>
<award-group id="gs2">
<funding-source>National Key Research and Development Program of China</funding-source>
<award-id>2026YFE0102400</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e255">As a critical reactive nitrogen compound, ammonia (<inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) holds considerable importance in the atmosphere and global nitrogen cycle, yet it also acts as a hazardous pollutant affecting human health and ecosystems. Specifically, it contributes to smog via its neutralization of sulfuric and nitric acids, resulting in the generation of secondary aerosols including ammonium sulfate and ammonium nitrate (Galloway et al., 2004; Behera et al., 2013). These particles can travel long distances, degrading air quality and disrupting ecological balance (Erisman et al., 2013). <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and ammonium-containing particles participate in the cascade of reactive nitrogen transformations, with broad impacts on air, water, soil quality, climate, and biodiversity (Sutton et al., 2013). Under specific conditions, ammonium nitrate particles may volatilize to reform gaseous <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, creating a dynamic cycle that complicates its environmental impacts (Weber et al., 2016; Guo et al., 2018). Agriculture serves as the dominant source, stemming from fertilizer storage, livestock manure, and the application of mineral nitrogen fertilizers to crops (Fowler et al., 2013). Secondary contributors to <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions encompass biomass combustion, industrial operations, and automobiles fitted with three-way catalytic converters (Galloway et al., 2003; Erisman et al., 2008). After being emitted into the atmosphere, <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> exhibits a brief residence time ranging from several hours to a handful of days, and its primary removal pathways are dry and wet deposition processes (Liu et al., 2013; Dammers et al., 2017; Zhang et al., 2018). These deposition processes accelerate soil acidification, further exacerbating the ecological damage. Beyond air quality and ecosystem impacts, the aerosols derived from <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> also influence climate by scattering solar radiation, modifying albedo, and altering the properties of clouds (Adams et al., 2001; Abbatt et al., 2006; Isaksen et al., 2009; Myhre et al., 2013).</p>
      <p id="d2e325">Different technologies have been used to monitor atmospheric <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. A number of in situ monitoring sites have been established (Jiménez et al., 2015; De Mazière et al., 2018). Moreover, satellites equipped with high-resolution infrared spectrometers have provided unprecedented spatiotemporal sampling of global <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> distributions, and this has driven major progress in understanding <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission and deposition fluxes covering spatial scales ranging from local to global, together with their temporal variability. Polar-orbiting satellites are capable of delivering global observational coverage up to two times per day, including the Infrared Atmospheric Sounding Interferometers (IASI, e.g., Clarisse et al., 2009) at 09:30/21:30 Local Solar Time (LST), Tropospheric Emission Spectrometer (TES, e.g., Beer et al., 2008; Shephard et al., 2011), the Atmospheric Infrared Sounder (AIRS, e.g., Warner et al., 2016) and the Cross-track Infrared Sounder (CrIS, e.g., Shephard and Cady-Pereira, 2015) at 01:30/13:30 LST, the Thermal and Near-infrared Spectrometer for Observation-Fourier Transform Spectrometer (TANSO-FTS; e.g., Someya et al., 2020) at 01:00/13:00 LST and FengYun-3D (FY-3D, e.g. Zhou et al., 2024) at 02:00/14:00 LST. Recently, diurnal variations of atmospheric <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> over the Asian region have been observed using the Geostationary Interferometric Infrared Sounder (GIIRS) aboard the FengYun-4A (FY-4A/GIIRS, Clarisse et al., 2021) and FengYun-4B (FY-4B/GIIRS, (Zeng et al., 2023; Sheng et al., 2026; Guendouz et al., 2026) satellites. The Infrared Sounder (IRS) aboard the Meteosat Third Generation (MTG), which was launched in 2025, is expected to provide geostationary observations over Europe and Africa (Holmlund et al., 2021; Guendouz et al., 2026). Such geostationary orbit-based monitoring offers significant advantages and potential for investigating <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> diurnal variations, which in turn facilitates a deeper understanding of its emission, deposition, transport and other related processes. However, there is currently a lack of geostationary orbit observations across most global regions, especially much of the Southern Hemisphere and North America. Atmospheric <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> shows notable spatiotemporal variability, largely attributed to its primary emission characteristics and short atmospheric lifetime. This inherent variability underscores the urgent need for a high-resolution and globally comprehensive monitoring system.</p>
      <p id="d2e395">To address this gap, we construct an integrated constellation to achieve quasi-geostationary-like global monitoring coverage, comprising China's FengYun-3 (FY-3) series satellites and CrIS. A similar constellation has been developed for monitoring volcanic sulfur dioxide (Zeng et al., 2025). <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals based on the optimal estimation method are conducted under this framework to enable quasi-geostationary-like observations up to six times per day globally. This work is expected to provide crucial observational data for clarifying global and diurnal <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> variations.</p>
      <p id="d2e420">The subsequent sections of this paper are organized as follows. Section 2 elaborates on the methodological approaches adopted in the present research. Section 3 presents and discusses the retrieval results from the constellation. Finally, the conclusions are drawn in Sect. 4.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e426"><bold>(a)</bold> Schematic diagram of three polar-orbiting satellites with different orbits. FY-3E/HIRAS-II operates in a dawn-dusk orbit, with an equatorial overpass time of 05:30/17:30 LST, FY-3F/HIRAS-II is in a mid-morning orbit with an equatorial overpass time of 10:00/22:00 LST, and the CrIS has an equatorial overpass time of 01:30/13:30 LST. The color gradient in the background represents the retrieved global distribution of <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns on 19 July 2024, as will be discussed in subsequent analyses. <bold>(b)</bold> LST of observations acquired by FY-3E/HIRAS-II, FY-3F/HIRAS-II and CrIS over terrestrial and offshore regions. Observations over polar areas and remote oceans are excluded. These maps are constructed from cloud-screened observations collected on 19 July 2024. <bold>(c)</bold> Histograms of the overpass LST for FY-3E/HIRAS-II, FY-3F/HIRAS-II, and CrIS. Examples are derived from observations taken on 19 July 2024.</p></caption>
        <graphic xlink:href="https://amt.copernicus.org/articles/19/4013/2026/amt-19-4013-2026-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methodologies</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>A constellation of hyperspectral infrared sounders</title>
      <p id="d2e469">The High Spectral Infrared Atmospheric Sounder (HIRAS) aboard the FY-3 satellite series is a Fourier Transform Michelson interferometer. It measures upwelling infrared radiative signals across the short-wave, mid-wave, and long-wave infrared bands. HIRAS-II is the second generation of the HIRAS sensor and is carried onboard both FY-3E and FY-3F, which were successfully launched in 2021 and 2023, respectively (Zhang et al., 2022a, b). FY-3E/HIRAS-II is deployed in a dawn-dusk orbit, with an equatorial overpass time of 05:30/17:30 LST, while FY-3F/HIRAS-II operates in a mid-morning orbit featuring an overpass time of 10:00/22:00 LST. Combined with CrIS aboard the Joint Polar Satellite System-1 (JPSS-1) platform, which has an overpass time of 01:30/13:30 LST, these three sensors form a global constellation observation system (Fig. 1a). Note that IASI's overpass times, approximately 09:30 and 21:30 LST, are close to those of FY-3F/HIRAS-II at 10:00 and 22:00 LST and thus can provide additional mid-morning orbit observations. For this concept study, however, only FY-3F/HIRAS-II is used. Their overpass times are shown in Fig. 1b, and the corresponding histograms are presented in Fig. 1c.</p>
      <p id="d2e472">Both HIRAS-II instruments aboard the FY-3E and FY-3F satellites, together with CrIS, share key technical specifications with a nadir spatial resolution of 14 <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> and an unapodised spectral resolution of 0.625 <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Zhang et al., 2024). Specifically, HIRAS-II provides continuous spectral coverage across 650–2550 <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> via 3041 channels, while CrIS matches this spectral resolution, ensuring all three instruments fully cover the characteristic rotational-vibrational <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> band of <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> centered near 10.5 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. For <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrieval, we use the 955–975 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> band extracted from observations of all three instruments. No empirical sensor-specific radiometric bias correction or additional spectral harmonization is applied before the retrievals. We randomly select 1 <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> of observations from the three satellites over the North China Plain and estimate their spectral noise. The noise equivalent differential temperature (NedT) of HIRAS-II aboard FY-3E and FY-3F is approximately 0.08 <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, while that of CrIS is around 0.05 <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>. These noise levels are of a comparable magnitude and sufficiently sensitive to detect variations in <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, ensuring uniform observational quality for cross-instrument analysis (Zavyalov et al., 2013; Shephard and Cady-Pereira, 2015; Zhang et al., 2024). While CrIS already has well-established and mature <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> products from the CrIS Fast Physical Retrieval (CFPR) dataset developed by Environment and Climate Change Canada (Shephard et al., 2020), we adopt a unified retrieval algorithm for all three instruments. This choice is driven by the need to ensure consistency across the satellite constellation, enabling direct inter-comparability between FY-3E/HIRAS-II, FY-3F/HIRAS-II, and CrIS observations. For CrIS retrievals, we use JPSS-1 CrIS Level 1B Full Spectral Resolution V3 data as input, maintaining methodological coherence with our processing of HIRAS-II observations.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Optimal estimation methods</title>
      <p id="d2e624">For the retrieval, only cloud-screened spectra from FY-3E/HIRAS-II, FY-3F/HIRAS-II, and CrIS are used. To remove cloud-contaminated pixels and ensure consistency across sensors, we apply a unified cloud-screening procedure following the brightness-temperature-difference method of Wells et al. (2020, 2022). Specifically, for each observation, the observed brightness temperature near 900 <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is compared with the nearest-hourly surface skin temperature obtained from European Centre for Medium-Range Weather Forecasts (ECMWF) Reanalysis v5 (ERA5). The cloud-screening threshold is adjusted according to the ERA5 water vapor column, and no fixed cloud-fraction threshold is used. Observations for which the 900 <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> brightness temperature is lower than this water-vapor-dependent threshold relative to the surface skin temperature are flagged as cloud-contaminated and excluded. The same cloud-screening procedure is applied to FY-3E/HIRAS-II, FY-3F/HIRAS-II, and CrIS to maintain consistency across different satellites.</p>
      <p id="d2e655">The <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrieval is based on the FengYun-Low Earth Orbit Atmospheric Infrared Retrieval algorithm (FY-LeoAIR), which adapts the optimal-estimation framework and forward-model structure of the FY-GeoAIR algorithm originally developed for FY-4B/GIIRS <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals by Zeng et al. (2023). FY-LeoAIR has previously been applied to trace gas retrievals from FY-3E/HIRAS-II observations, including CO and VOCs (e.g., Zeng, 2025b; Hua et al., 2025). In this study, FY-LeoAIR is extended to global <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals from FY-3E/HIRAS-II, FY-3F/HIRAS-II, and CrIS.</p>
      <p id="d2e691">The retrieval is performed in the 955–975 <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> band, which contains strong <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> absorption features and is fully covered by all three sensors. Sensor-specific spectral noise estimates are used to construct the diagonal measurement-error covariance matrix. The same forward model, retrieval method, and quality-control procedure are used for all three sensors to maintain internal consistency.</p>
      <p id="d2e719">FY-LeoAIR combines a clear-sky infrared radiative transfer forward model with an optimal-estimation-based inverse model. The forward model uses atmospheric temperature, water vapor (<inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>), ozone (<inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and surface pressure from ERA5, <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from ECMWF Copernicus Atmosphere Monitoring Service (CAMS) greenhouse-gas products, and other weakly interfering trace-gas profiles from standard atmospheric profiles, following the configuration of Zeng et al. (2023). Surface skin temperature is initialized from ERA5 and retrieved simultaneously with the trace gases. The a priori land surface emissivity used in the forward model is obtained from the University of Wisconsin-Madison global infrared land surface emissivity database (UOW-M), as in Zeng et al. (2023). It is adjusted within the retrieval window using a multiplicative Legendre polynomial expansion, in which the zeroth-order term is fixed to unity and four coefficients corresponding to the first- to fourth-order terms are retrieved simultaneously. The parameters in the retrieval state vector are summarized in Table S1 in the Supplement.</p>
      <p id="d2e758">The main modification relative to Zeng et al. (2023) is that <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is retrieved using a single multiplicative profile-scaling factor applied to a fixed a priori <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profile, rather than as independent layer-by-layer <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> elements. The same profile-scaling strategy is also applied to <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in this implementation. This approach is adopted because the <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> information content in individual thermal infrared observations is generally limited, with the degree of freedom for signal mostly below 1, making independent layer-resolved retrievals insufficiently constrained for global multi-sensor processing. The profile-scaling approach also improves computational efficiency for the global constellation retrieval. A similar retrieval strategy has also been adopted by FY-4B/GIIRS <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals (Sheng et al., 2026).</p>
      <p id="d2e830">The fixed <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> a priori profile is constructed following Zeng et al. (2023), based on Goddard Earth Observing System composition forecast (GEOS-CF) <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> simulations over representative polluted land regions in East Asia and South Asia. The same normalized profile shape is used for all retrievals, while the retrieved scaling factor determines the retrieved <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> abundance. This choice helps avoid introducing artificial spatial or temporal variability from a time-varying prior into the retrieved columns. Retrieval uncertainty and the column averaging kernel are used to characterize the information content of each retrieval. We also conduct an a priori profile sensitivity test (see Sect. S1 and Figs. S1–S6 in the Supplement).</p>
      <p id="d2e866">Because <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is mainly concentrated in the lower troposphere, the retrieval state vector only adjusts <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in 11 atmospheric layers from the surface to 200 <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>. The reported <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> total column is calculated as the sum of the retrieved surface-to-200 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>
<inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column and the fixed a priori contribution above 200 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>. Since the <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> abundance above 200 <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> is generally small and is not independently constrained by the spectra, the spatial and temporal variability discussed in this study is dominated by the retrieved surface-to-200 <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> component.</p>
      <p id="d2e965">An optimal state vector for minimizing discrepancies between forward model-simulated spectra and sensor-measured spectra is derived by the optimal estimation framework. In practice, the retrieval algorithm outputs the state vector that minimizes the cost function defined as:

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M71" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi>J</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msup><mml:mfenced open="[" close="]"><mml:mrow><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mo>-</mml:mo><mml:mi>F</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="bold-italic">b</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfenced><mml:mi>T</mml:mi></mml:msup><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:mfenced close="]" open="["><mml:mrow><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mo>-</mml:mo><mml:mi>F</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="bold-italic">b</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mi>T</mml:mi></mml:msup><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          Here, <inline-formula><mml:math id="M72" display="inline"><mml:mi mathvariant="bold-italic">y</mml:mi></mml:math></inline-formula> denotes the satellite-measured radiance within the NH<sub>3</sub> retrieval band. <inline-formula><mml:math id="M74" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> is the forward model that produces simulated radiance for the retrieval process. <inline-formula><mml:math id="M75" display="inline"><mml:mi mathvariant="bold-italic">x</mml:mi></mml:math></inline-formula> is the retrieval state vector, including the <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profile-scaling factor, the <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> profile-scaling factor, scaling factors for interfering trace gases, surface skin temperature, atmospheric temperature scaling, and four surface-emissivity Legendre polynomial coefficients. <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> denotes the a priori vector. <inline-formula><mml:math id="M79" display="inline"><mml:mi mathvariant="bold-italic">b</mml:mi></mml:math></inline-formula> stands for a set of fixed non-retrieved auxiliary parameters. <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the a priori covariance matrix corresponding to the state vector. <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="italic">ε</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the measurement error covariance matrix, treated as a diagonal matrix derived from spectral noise estimates. Retrieval outputs include the <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column, posteriori column retrieval uncertainty estimation, and column averaging kernel (AVK). The column AVK quantitatively represents the response of total <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column to variations in the partial column at each layer, which is important for cross-comparison and model assimilation of satellite retrievals. A more detailed description of column AVK is provided in Sheng et al. (2026).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and Discussions</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Global variations of <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns from the LEO constellation</title>
      <p id="d2e1241">As an illustrative demonstration of the global sampling capability of the LEO constellation, we first examine representative 7 d mean <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column distributions in January, April, July, and October 2024, specifically 12–18 January, 12–18 April, 17–23 July, and 1–7 October. These weekly maps are intended to demonstrate the global spatial coverage and broad seasonal contrast captured by the constellation, rather than to provide a climatological seasonal mean. We first retrieve global daily maps of <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns, re-grid them to a 0.5° <inline-formula><mml:math id="M87" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.5° spatial resolution, and then calculate 7 d averages for these representative periods. A quality control process is applied to ensure the reliability of satellite retrievals. Observations that fail to achieve convergence within 10 iterations are excluded from the dataset. We then implement a series of post-filters, retaining only those retrieval results that satisfy all the following criteria simultaneously. First, the retrieved <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns are required to be positive. Second, the absolute difference in surface skin temperature between the a priori and retrieved values is less than 10 <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>. Third, the retrieval error of the column does not exceed 300 %. Fourth, the surface AVK is greater than 0.1. Fifth, the absolute thermal contrast (TC), defined as the temperature difference between the surface and the lowest atmospheric layer, is larger than 3 <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>. The absolute TC <inline-formula><mml:math id="M91" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 3 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> and surface AVK <inline-formula><mml:math id="M93" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.1 criteria used here are intended for the global spatial-distribution analysis, where the objective is to illustrate the broad coverage and spatial patterns retrieved by the LEO constellation while retaining sufficient sampling density. These criteria remove retrievals with weak thermal contrast and limited near-surface sensitivity, but they are less restrictive than the criteria used later for the regional hotspot diurnal analysis. The effect of different TC and AVK thresholds on spatial distributions, diurnal cycles, and data retention is further evaluated and presented in Figs. S7–S10. Sixth, a threshold for surface emissivity at 8.3 <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> is set at 0.9, with only results meeting this threshold retained. This step avoids abnormally high <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column concentrations over desert regions, following the method of Clarisse et al. (2019). The surface emissivity data used for this filter are obtained from the Combined ASTER and MODIS Emissivity over Land Database Monthly Global 0.05° V003, which provides global monthly emissivity data at a 0.05° spatial resolution.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1346">Representative 7 d mean <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns retrieved from FY-3E, FY-3F, and CrIS for six different time slots, gridded to a 0.5° <inline-formula><mml:math id="M97" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.5° spatial resolution. The data correspond to the period of <bold>(a)</bold> 12–18 January 2024 and <bold>(b)</bold> 12–18 April 2024.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4013/2026/amt-19-4013-2026-f02.jpg"/>

        </fig>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1382">Same as Fig. 2, but for the period of <bold>(a)</bold> 17–23 July 2024 and <bold>(b)</bold> 1–7 October 2024.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4013/2026/amt-19-4013-2026-f03.jpg"/>

        </fig>

      <p id="d2e1397">As shown in Figs. 2 and 3, broad seasonal contrasts in the representative weekly global <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> maps are evident across the four selected periods. In January, elevated <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns are concentrated in the Indo–Gangetic Plain and Central Africa, which is primarily associated with ongoing agricultural activities such as winter fertilizer application and extensive biomass burning for land clearance in these regions. In April, high <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> loading persists in the Indo–Gangetic Plain, East China and Central Africa, driven by intensified spring planting and corresponding fertilizer use in agricultural hotspots. Southeast Asia also exhibits increased <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels during this month, a pattern attributed to widespread slash-and-burn agriculture practices that are common in the regional dry season to prepare farmland. Additionally, scattered high <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns are observed in parts of North America, likely linked to localized agricultural operations and small-scale biomass burning. In July, high <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns remain concentrated in the Indo–Gangetic Plain, the North China Plain, Central Africa and Western Europe. The sustained high levels in these areas correlate with summer agricultural activities and elevated temperatures that enhance emissions (Ding et al., 2024). In particular, large-scale wildfires during the summer in North America exert a broad regional impact, leading to significantly elevated <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns across extensive regions as a result of biomass burning releasing substantial amounts of <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Lutsch et al., 2019). Within smoke plumes, gas-phase <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can rapidly partition into particulate ammonium, especially in fresh, dense plumes injected into colder, higher-altitude air where ammonium nitrate formation is favored. Together with plume transport and dilution, this partitioning may modulate the observed <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns as the smoke evolves (Lindaas et al., 2021). October still sees detectable high <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns over the Indo–Gangetic Plain, where post-harvest agricultural residue burning and late-season fertilizer application maintain elevated emissions. In South America, elevated <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels are mostly attributed to combined effects of fertilizer usage for autumn crops and biomass burning, as documented by Luo et al. (2022). The seasonal patterns reflect the close linkage between <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> distribution and region-specific anthropogenic activities, alongside seasonal natural processes. These spatial patterns exhibit general consistency with results from IASI (e.g., Van Damme et al., 2015) and CrIS (e.g., Shephard et al., 2020).</p>
      <p id="d2e1545">We note that these weekly global maps may still be influenced by short-term episodic events, such as biomass burning. Therefore, they are used here primarily as representative examples of the constellation-derived global <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> spatial distributions. The more quantitative regional diurnal and seasonal analyses in Sect. 3.2 are based on full-month averages using all available observations in each selected month.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title><inline-formula><mml:math id="M112" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> variations in major source regions from the LEO constellation</title>
      <p id="d2e1578">To conduct an in-depth analysis of <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> variations, we select three major emission hotspots located in the North China Plain (37° N, 118° E), the Indo–Gangetic Plain (28° N, 78° E), and the Central United States (36.5° N, 100.5° W), respectively. These hotspots are characterized by intensive agricultural activities and high livestock densities, consistent with the high-emission areas for their substantial <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column abundances and distinct diurnal and seasonal dynamics. For each hotspot, we extract data within a 2.5° <inline-formula><mml:math id="M115" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5° grid centered at the specified coordinates, covering six overpass times per day. A 2.5° <inline-formula><mml:math id="M116" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5° box is selected to balance spatial representativeness and sample size. Because the analysis separates retrievals by satellite overpass time and month and further applies strict quality filters, a smaller box would often lead to insufficient valid retrievals, especially during nighttime or low-sensitivity conditions. The selected box size provides enough samples for stable monthly means while still focusing on the core <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> hotspot regions. The monthly mean is calculated only when the number of filtered retrievals within the 2.5° <inline-formula><mml:math id="M118" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5° box exceeds 10 during that month. TC affects the retrieval accuracy (Bauduin et al., 2017), and higher absolute TC contributes to better retrievals (Clarisse et al., 2010). When TC is close to zero, the <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> spectral signal becomes weak and the retrieval sensitivity decreases, whereas a larger absolute TC generally enhances the spectral signal and improves the retrieval sensitivity. To ensure high-quality <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column retrievals, we apply stricter sensitivity filters than those used for the global spatial-distribution maps in Sect. 3.1. Specifically, the same basic quality-control criteria are used, but the TC and AVK thresholds are tightened from absolute TC <inline-formula><mml:math id="M121" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 3 <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> and surface layer AVK value <inline-formula><mml:math id="M123" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.1 to absolute TC <inline-formula><mml:math id="M124" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> and surface layer AVK value <inline-formula><mml:math id="M126" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.3. These stricter criteria are adopted to reduce the influence of local-time-dependent retrieval sensitivity on the inferred diurnal cycles, because TC itself has a pronounced diurnal variation.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e1705">Diurnal cycles of retrieved <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns from FY-3E, FY-3F and CrIS over <bold>(a)</bold> the North China Plain (37° N, 118° E), <bold>(b)</bold> the Indo–Gangetic Plain (28° N, 78° E), and <bold>(c)</bold> the Central US (36.5° N, 100.5° W). The locations of these three sites are indicated in Figs. 5–7, respectively. Blue circles denote the mean values within the 2.5° <inline-formula><mml:math id="M128" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5° grid, and the blue shaded area represents the standard deviation for each overpass time. IASI retrieval results for the same region are overlaid for comparison: reddish purple squares indicate IASI mean values, with error bars representing their standard deviation. The time axis is expressed in LST. The diurnal variation of monthly mean planetary boundary layer height (BLH) is also plotted in purple.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4013/2026/amt-19-4013-2026-f04.png"/>

        </fig>

      <p id="d2e1741">The diurnal cycles of full-month averaged <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns for the three hotspots in each selected month are presented in Fig. 4, with the IASI <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ANNI V4.0 product overlaid for comparison. Also shown are the monthly mean planetary boundary layer heights (BLH) from ERA5 reanalysis. All three hotspots exhibit consistent seasonal differences in diurnal variability, a pattern that is consistent with the findings of Clarisse et al. (2021) from GIIRS observations and aligns with broader research on <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dynamics (Tevlin et al., 2017). Warmer months (April–September) show distinct day-night contrasts, while winter months (December–February) display minimal diurnal fluctuations.</p>
      <p id="d2e1778">For the North China Plain (Fig. 4a), FY-3E, FY-3F, CrIS, and IASI data collectively reveal that warm-season <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns follow a clear diurnal pattern with a peak between 10:00 and 13:30 LST, and nighttime values approximately 50 %–60 % lower than daytime maxima. The peak corresponds to intensified agricultural activities (e.g., fertilization and livestock management) and temperature-driven volatilization from soils and animal waste, mechanisms identified by Ernst and Massey (1960) and Sutton et al. (2013) as primary drivers of daytime <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission enhancement. Higher BLH during the day facilitates vertical diffusion of <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and contributes to the observed column dynamics Saylor et al., 2010). In contrast, winter <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns over the North China Plain show negligible diurnal variation, which is probably due to the fact that cold-season emissions are limited by low temperatures and reduced agricultural activity (Kuang et al., 2020; Clarisse et al., 2021).</p>
      <p id="d2e1825">The Indo–Gangetic Plain (Fig. 4b) exhibits the highest overall <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns among the three hotspots, with warm-season daytime columns nearly double those of the North China Plain. The lower <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns over the North China Plain relative to the Indo–Gangetic Plain may partly reflect higher levels of <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Clarisse et al., 2021; Ding et al., 2024), which can be oxidized to nitric and sulfuric acids and promote the conversion of gaseous <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to particulate ammonium, thereby shortening the effective lifetime of gas-phase <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Liu et al., 2018; Wang et al., 2020). The most pronounced warm-season diurnal amplitude appears in the Indo–Gangetic Plain, with daytime columns up to three times higher than nighttime values. This pattern reflects the intensive irrigated agriculture and livestock-related emissions in the region, together with the strong temperature dependence of <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> volatilization (Hempel et al., 2016; Perrone, 2020; Wang et al., 2020). Winter diurnal variations here are similarly weak, though <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns remain higher than those in the other two regions due to persistent agricultural activity in milder winter conditions (Saraswati et al., 2018).</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e1919">Monthly mean <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns (0.5° <inline-formula><mml:math id="M145" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.5° grid) over the North China Plain retrieved by <bold>(a)</bold> CrIS at night overpasses (01:30 LST), <bold>(b)</bold> CrIS at daytime overpasses (13:30 LST), <bold>(c)</bold> FY-3E/HIRAS-II at dawn overpasses (05:30 LST), <bold>(d)</bold> FY-3E/HIRAS-II at dusk overpasses (17:30 LST), <bold>(e)</bold> FY-3F/HIRAS-II at morning overpasses (10:00 LST), and <bold>(f)</bold> FY-3F/HIRAS-II at night overpasses (22:00 LST), during 2024. The red star in the January panel of Fig. 5a indicates the location of the site (37° N, 118° E) analyzed in Figs. 4 and 9.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4013/2026/amt-19-4013-2026-f05.jpg"/>

        </fig>

      <p id="d2e1965">For the Central US (Fig. 4c), the diurnal variation pattern is broadly consistent with the Asian regions but with a smaller amplitude. Warm-season <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns peak between 11:00 and 14:00 LST, with daytime values approximately 1.5–2 times higher than nighttime levels, while winter columns show little diurnal fluctuation. This consistency supports the interpretation that temperature, BLH dynamics, and diurnally varying emissions (e.g., agricultural activities) are common drivers of <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> diurnal cycles across major high-emission regions. This interpretation is consistent with the analysis of <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements in the southeastern US by Saylor et al. (2010). The smaller amplitude compared to the Indo–Gangetic Plain likely reflects moderate temperature variations and balanced <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission and deposition processes, as reported by Warner et al. (2017) in satellite observations of North American agricultural regions. Li et al. (2026) further emphasize that local deposition in vegetation-dense areas offsets large-scale transport, explaining the muted diurnal amplitude relative to Asian regions.</p>
      <p id="d2e2012">The spatial and seasonal dynamics of <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns are further illustrated in Figs. 5–7 for the North China Plain, Indo–Gangetic Plain, Central US, respectively, retrieved from FY-3E/HIRAS-II, FY-3F/HIRAS-II and CrIS. Figure A1 further illustrates monthly mean <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column variations for these three regions, confirming consistent time series across the six daily satellite overpasses and coherent seasonal trends. All three regions exhibit a consistent seasonal peak in <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns during spring to summer (March–August), with the lowest values in winter (December–February). For the North China Plain (Fig. 5), all retrievals at six distinct times show that <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns peak in June, with spatial coverage expanding across the entire plain during warm months, reflecting widespread agricultural activities (e.g., wheat fertilization and livestock waste management) and favorable meteorological conditions for emission (Zhang et al., 2010; Zhan et al., 2021). In contrast, winter maps display sparse, localized high-<inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> patches, consistent with reduced agricultural activity and lower temperature-driven volatilization (Schjoerring et al., 1998).</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e2073">Same as Fig. 5, but for the Indo–Gangetic Plain. The blue circle in the January panel of Fig. 6a indicates the location of the site (28° N, 78° E) analyzed in Figs. 4 and 9.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4013/2026/amt-19-4013-2026-f06.jpg"/>

        </fig>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e2084">Same as Fig. 5, but for the Central US. The purple square in the January panel of Fig. 7a indicates the location of the site (36.5° N, 100.5° W) analyzed in Figs. 4 and 9.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4013/2026/amt-19-4013-2026-f07.jpg"/>

        </fig>

      <p id="d2e2093">For the Indo–Gangetic Plain, Fig. 6 shows that the region maintains the highest <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns year-round, with spatial hotspots concentrated in the central plain during both day and night. However, daytime maps exhibit broader coverage extending to the plain's peripheries, while nighttime maps show more concentrated hotspots near emission sources. For the central US, Fig. 7 reveals the lowest overall <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns among the three regions, with daytime spatial patterns spreading across the Corn Belt and Great Plains, and nighttime patterns contracting to smaller agricultural clusters.</p>
      <p id="d2e2118">The comparison between daytime and nighttime spatial patterns underscores the critical role of BLH in shaping <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> distribution. Daytime maps display broader spatial coverage because higher BLH (typically 1–3 <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> during warm-season days) facilitates vertical and horizontal diffusion of <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> away from emission sources. In contrast, nighttime maps show more localized <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns, as lower BLH (often <inline-formula><mml:math id="M161" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 500 <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> at night) traps emissions near the surface (Walker et al., 2006; Wang et al., 2019). This pattern is especially pronounced over the North China Plain, where Fig. 5b–d show contiguous high-<inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> zones across the plain, while Fig. 5a, e and f limit high columns to central agricultural districts. For the Indo–Gangetic Plain, nighttime spatial maps also reveal persistent <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the residual layer, an effect linked to BLH collapse in the evening, which traps <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at higher altitudes for several hours (Lonsdale et al., 2017; Kuang et al., 2020). This residual layer <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> explains why some nighttime retrievals show broader coverage than expected, even with low BLH, and aligns with the observation by Clarisse et al. (2021) that <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> vertical profile assumptions can impact nighttime retrieval accuracy.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e2235">Comparisons of <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns between retrievals from polar-orbiting satellites (FY-3E/HIRAS-II, FY-3F/HIRAS-II and CrIS) and geostationary satellite (FY-4B/GIIRS) over the Indo–Gangetic Plain (15–35° N, 75–95° E) and the North China Plain (25–45° N, 110–130° E) at different times of the day in 2024. Observations are collocated when the differences in longitude and latitude are both less than 0.5° and the observation-time difference is less than 0.5 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>. The black dashed line represents the <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> equivalence line, with the red line indicating the orthogonal distance regression (ODR) fit. The fit's slope, intercept, correlation coefficient (<inline-formula><mml:math id="M171" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>), root mean square error (RMSE), mean bias (calculated as polar satellite retrievals minus geostationary satellite retrievals), and the number of collocated samples are also provided.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4013/2026/amt-19-4013-2026-f08.png"/>

        </fig>

      <p id="d2e2283">To assess the impact of the filters on the retrieved <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> diurnal variation, we perform an additional sensitivity analysis using three filtering configurations: a loose filter with surface AVK <inline-formula><mml:math id="M173" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.1 and absolute TC <inline-formula><mml:math id="M174" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 3 <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, the current hotspot filter with surface layer AVK value <inline-formula><mml:math id="M176" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.3 and absolute TC <inline-formula><mml:math id="M177" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, and a stricter filter with surface layer AVK value <inline-formula><mml:math id="M179" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.4 and absolute TC <inline-formula><mml:math id="M180" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 7 <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>. The remaining quality-control criteria are kept consistent among the three configurations. The resulting spatial distributions over the North China Plain and Indo–Gangetic Plain and the corresponding diurnal cycles are shown in the Supplement. The total numbers of quality-controlled retrievals retained for each satellite under the different filtering configurations are also reported in the subpanels. The three filtering configurations lead to different data-retention rates, as expected, but the major <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> hotspot patterns remain spatially similar and the regional diurnal cycles are not substantially distorted. This indicates that the main diurnal features discussed here are not strongly affected by the selected absolute TC and surface AVK thresholds, although the absolute column values and sampling density remain sensitive to filtering strength.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Cross-comparison with geostationary FY-4B/GIIRS and ground-based FTIR NH<sub>3</sub> observations</title>
      <p id="d2e2393">To evaluate the consistency of <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column retrievals from the polar-orbiting constellation, we perform spatiotemporally collocated cross-comparisons between FY-3E/HIRAS-II, FY-3F/HIRAS-II, CrIS, and geostationary FY-4B/GIIRS retrievals. The comparisons are conducted over the Indo–Gangetic Plain (15–35° N, 75–95° E) and the North China Plain (25–45° N, 110–130° E), where strong <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> signals are frequently observed and FY-4B/GIIRS provides geostationary coverage. A polar-orbiting retrieval and a FY-4B/GIIRS retrieval are considered collocated when their longitude and latitude differences are both less than 0.5° and their observation time difference is less than 0.5 <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>. These thresholds are selected as a compromise between retaining sufficient matched samples and minimizing spatial and temporal representativeness differences.</p>
      <p id="d2e2426">The comparisons in Fig. 8 also show broad consistency across the matched local overpass periods sampled by the three polar-orbiting sensors. Here, the observational periods refer to the local-time periods of the polar-orbiting observations collocated with FY-4B/GIIRS, namely CrIS at 01:30/13:30 LST, FY-3E/HIRAS-II at 05:30/17:30 LST, and FY-3F/HIRAS-II at 10:00/22:00 LST. The agreement across these matched local-time periods indicates that the constellation retrievals are generally consistent with FY-4B/GIIRS over both nighttime/dawn and daytime/dusk observations, although the agreement is typically stronger during daytime because of larger thermal contrast and higher retrieval sensitivity.</p>
      <p id="d2e2429">We further perform seasonal comparisons between each polar-orbiting sensor and FY-4B/GIIRS using the same collocation and quality-filtering criteria. These results are shown in Fig. A2. The seasonal regression slopes mostly fall within the range of 0.7–1.1. The slopes slightly below unity in the annual comparison should not be interpreted as clear evidence of a persistent systematic bias in either FY-4B/GIIRS or the polar-orbiting retrievals. Instead, the remaining differences are likely due to their differences in retrieval sensitivity, collocation representativeness, sampling footprints, viewing geometry, and vertical sensitivity. These factors are particularly important for <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> because of its short atmospheric lifetime and strong spatial heterogeneity.</p>
      <p id="d2e2444">We also compare the polar-orbiting satellite retrievals with ground-based FTIR <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column measurements at Hefei, China (Wang et al., 2022). Satellite retrievals within a 1° <inline-formula><mml:math id="M189" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1° spatial window and a 1 <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> temporal window around the FTIR observations are averaged and compared with the corresponding measurements. The comparison is shown in Fig. A3. The satellite retrievals show reasonable consistency with the FTIR observations, although the number of collocated samples is limited, with slopes of 0.87 <inline-formula><mml:math id="M191" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.22, 1.03 <inline-formula><mml:math id="M192" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08, and 1.13 <inline-formula><mml:math id="M193" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.18 for FY-3E/HIRAS-II, FY-3F/HIRAS-II, and CrIS, respectively. The corresponding RMSE values range from 7.80 <inline-formula><mml:math id="M194" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>15</sup> to 1.11 <inline-formula><mml:math id="M196" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>16</sup> <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Overall, the annual and seasonal FY-4B/GIIRS comparisons, together with the Hefei FTIR comparison, support the broad consistency of the LEO constellation retrievals in capturing major <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> spatial and temporal variability.</p>

      <fig id="F9"><label>Figure 9</label><caption><p id="d2e2560">Diurnal cycles of surface AVK, TC and column retrieval uncertainty from FY-3E, FY-3F and CrIS over three hotspots in <bold>(a)</bold> the North China Plain (37° N, 118° E), <bold>(b)</bold> the Indo–Gangetic Plain (28° N, 78° E), and <bold>(c)</bold> the Central US (36.5° N, 100.5° W). The number of valid retrievals used for each monthly mean is provided in Table S2.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4013/2026/amt-19-4013-2026-f09.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Diurnal variations of the surface AVK, the retrieval uncertainty and the TC</title>
      <p id="d2e2586">Figure 9 presents the diurnal and seasonal dynamics of surface AVK, TC, and column retrieval uncertainty over three representative hotspots, located in the North China Plain (37° N, 118° E), the Indo–Gangetic Plain (28° N, 78° E), and the Central US (36.5° N, 100.5° W). The statistics are derived from FY-3E/HIRAS-II, FY-3F/HIRAS-II, and CrIS retrievals within 2.5° <inline-formula><mml:math id="M200" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5° boxes and are shown as monthly averages for January, April, July, and October across six local overpass times. To clarify the robustness of these monthly averages, the number of valid retrievals used for each region, month, and overpass time is provided in Table S2. Monthly means are shown only when more than 10 quality-controlled retrievals are available.</p>
      <p id="d2e2596">TC exhibits a clear diurnal pattern across all regions. It generally reaches positive maxima during midday overpasses at 10:00–13:30 LST, with peak values of about 10–14 <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> over the North China Plain and about 17–20 <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> over the Indo–Gangetic Plain and the Central US in warm months. Nighttime and early-morning TC values are often negative, especially over the Indo–Gangetic Plain and the Central US in January, April, and October, while the North China Plain shows weaker negative TC in January and positive TC throughout July and October. These seasonal contrasts indicate that warm-season daytime observations generally provide strong positive TC, whereas nighttime observations often occur under negative TC conditions</p>
      <p id="d2e2615">The surface layer value of column AVK, which quantifies the observational information content related to near-surface <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, also shows pronounced diurnal and seasonal variability. Midday overpasses generally provide useful sensitivity to near-surface <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> variations, with surface-layer column AVK values mostly ranging from about 0.5 to 0.9 at 10:00–13:30 LST, although the peak surface layer column AVK does not always occur at midday. The Indo–Gangetic Plain exhibits pronounced diurnal swings, with July midday surface layer column AVK reaching 0.6, while the Central US shows moderate values of 0.57–0.70 at 10:00–13:30 LST but higher values during some nighttime overpasses. Overall, warm-season daytime conditions generally provide favorable observational constraints for <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals, although the surface layer value of column AVK can be high under negative TC conditions.</p>
      <p id="d2e2651">Column retrieval uncertainty generally decreases under conditions with larger absolute TC and higher surface AVK, but this relationship is not purely inverse and should not be interpreted as strictly monotonic. In particular, strongly negative TC can also enhance thermal infrared sensitivity because absorption-like spectral features may become emission-like features, as shown for lower-tropospheric pollution retrievals by Boynard et al. (2014). Therefore, TC should be interpreted together with AVK and retrieval uncertainty, rather than as a standalone monotonic sensitivity indicator.</p>
      <p id="d2e2655">Daytime bins often contain more valid retrievals than nighttime or dusk/evening bins, but the pattern is not uniform across regions and months (Table S2). Some bins have relatively sparse sampling, such as the Indo–Gangetic Plain in July at 05:30  and 22:00 LST and the Central US in October at 17:30 LST, whereas other daytime bins contain more than 1000 valid retrievals. These differences mainly reflect the combined effects of cloud screening and sensitivity-related quality filters.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e2667">This study develops a global monitoring framework by integrating three polar-orbiting hyperspectral infrared sounders, including FY-3E/HIRAS-II in a dawn-dusk orbit, FY-3F/HIRAS-II in a mid-morning orbit, and CrIS in an afternoon orbit. This constellation achieves quasi-geostationary-like coverage, enabling six global <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column retrievals per day at approximately 4 <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> intervals based on the optimal estimation method. This framework successfully captures the spatial, diurnal, and seasonal dynamics of tropospheric <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> worldwide, with elevated columns consistently identified over major source regions. Annual and seasonal cross-comparisons with geostationary FY-4B/GIIRS show broad consistency between the LEO constellation retrievals and GIIRS over the matched local overpass periods, including CrIS at 01:30/13:30 LST, FY-3E/HIRAS-II at 05:30/17:30 LST, and FY-3F/HIRAS-II at 10:00/22:00 LST. An additional comparison with ground-based FTIR observations at Hefei provides independent support for the reliability and consistency of the retrievals.</p>
      <p id="d2e2700">The key findings indicate that temperature-dependent volatilization, boundary-layer dynamics, and agricultural activity patterns jointly regulate the diurnal and seasonal variability of <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Differences among regions are further modulated by source strength, fertilizer and livestock management practices, meteorological conditions, and atmospheric chemical processing. The constellation effectively addresses the longstanding gap in high-frequency <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations over regions lacking geostationary satellite coverage, providing a comprehensive dataset for global <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cycling research.</p>
      <p id="d2e2736">Looking forward, the upcoming integration of FY-3H/HIRAS-II, launched at the end of 2025, equipped with the same HIRAS-II sensor as FY-3E and FY-3F, is expected to improve the homogeneity of the FY-based constellation and further enhance data consistency and spatiotemporal coverage. This refined system holds strong potential to advance <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission quantification, improve parameterizations in global climate and air quality models, and support evidence-based management of anthropogenic sources. Future work could focus on optimizing <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> vertical profile parametrization, cross-calibrating between sensors onboard different satellites for enhanced retrieval accuracy and consistency, and expanding the constellation's applications to investigate the links between <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, aerosol formation, acid deposition, and ecosystem impacts. To summarize, this framework demonstrates the value of the synergistic use of polar-orbiting satellites for strengthening global atmospheric composition monitoring and providing observational support for mitigating <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-related environmental and climate effects.</p>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title/>

      <fig id="FA1"><label>Figure A1</label><caption><p id="d2e2796">Seasonal time series of retrieved <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns over <bold>(a)</bold> the North China Plain, <bold>(b)</bold> the Indo–Gangetic Plain and <bold>(c)</bold> the Central US.</p></caption>
        
        <graphic xlink:href="https://amt.copernicus.org/articles/19/4013/2026/amt-19-4013-2026-f10.png"/>

      </fig>

<fig id="FA2" specific-use="star"><label>Figure A2</label><caption><p id="d2e2830">Same as Fig. 8, but for seasonal comparisons between FY-3E/HIRAS-II <bold>(a)</bold>, FY-3F/HIRAS-II <bold>(b)</bold>, CrIS <bold>(c)</bold> and FY-4B/GIIRS over the Indo–Gangetic Plain and the North China Plain. DJF, MAM, JJA, and SON denote December–January–February, March–April–May, June–July–August, and September–October–November, respectively. The black solid line represents the <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line, and the red solid line indicates the orthogonal distance regression (ODR) fit. The slope, intercept, correlation coefficient (<inline-formula><mml:math id="M218" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>), root mean square error (RMSE), mean bias, and number of collocated samples are provided in each panel.</p></caption>
        <graphic xlink:href="https://amt.copernicus.org/articles/19/4013/2026/amt-19-4013-2026-f11.jpg"/>

      </fig>

<fig id="FA3"><label>Figure A3</label><caption><p id="d2e2871">Validations with ground-based FTIR in Hefei, China. The black dashed line represents the <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> equivalence line, with the red line indicating the orthogonal distance regression (ODR) fit. The fit's slope, intercept, correlation coefficient (<inline-formula><mml:math id="M220" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>), root mean square error (RMSE), mean bias (calculated as polar satellite retrievals minus ground-based measurements), and number of collocated samples are also provided. The dot represents the mean value of satellite-retrieved <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns and the error bar represents 1 standard deviation. If there is only one match point, the error bars are not displayed.</p></caption>
        
        <graphic xlink:href="https://amt.copernicus.org/articles/19/4013/2026/amt-19-4013-2026-f12.png"/>

      </fig>

</app>
  </app-group><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e2916">The FY-3E and FY-3F <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrieval datasets are publicly available on Zenodo at <ext-link xlink:href="https://doi.org/10.5281/zenodo.18359451" ext-link-type="DOI">10.5281/zenodo.18359451</ext-link> (Zeng and Hua, 2026a) and <ext-link xlink:href="https://doi.org/10.5281/zenodo.18366114" ext-link-type="DOI">10.5281/zenodo.18366114</ext-link> (Zeng and Hua, 2026b), respectively. Currently, the FY-3E dataset is available from January 2023 to December 2024, and the FY-3F dataset is available from January to December 2024. The GIIRS <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> data (from July 2022 to June 2025) used in this study are publicly available on Zenodo at <ext-link xlink:href="https://doi.org/10.5281/zenodo.17193848" ext-link-type="DOI">10.5281/zenodo.17193848</ext-link> (Zeng, 2025a). Further updates on FengYun <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> data will be provided on the project website (<uri>https://fengyunair.github.io/</uri>, last access: 14 June 2026). FengYun satellite Level 1 data are publicly available from the FengYun Satellite Data Center at <uri>http://satellite.nsmc.org.cn/portalsite/default.aspx</uri> (last access: 14 June 2026). The IASI <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ANNI V4.0 product is available from the AERIS data infrastructure (<uri>https://iasi.aeris-data.fr/</uri>, last access: 14 June 2026). The CrIS L1 spectra are publicly available from <uri>https://search.earthdata.nasa.gov/</uri> (last access: 14 June 2026).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e2985">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/amt-19-4013-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/amt-19-4013-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e2994">ZZ designed the experiments, and JH carried them out. ZZ and JH developed the model code and JH performed the simulations. MS and RZ assisted the satellite data pre-processing and results analysis. JH prepared the manuscript with contributions from all co-authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e3002">At least one of the (co-)authors is a member of the editorial board of <italic>Atmospheric Measurement Techniques</italic>. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e3011">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e3017">We gratefully acknowledge Drs. Chengli Qi, Lu Lee, Xiuqing Hu, and Feng Lu from the National Meteorological Satellite Center of China for their guidance on using the FengYun hyperspectral infrared spectra observations. We would also like to thank Drs. Cathy Clerbaux, Lieven Clarisse and Martin Van Damme for making the IASI <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> data publicly available. We thank Dr. Wei Wang from the Chinese Academy of Sciences for providing the Hefei-FTIR <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> data and Dr. Mark Shephard from Environment and Climate Change Canada for discussion on interpreting the column averaging kernel of <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column retrievals.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e3055">Z.-C. Zeng acknowledges funding from the National Natural Science Foundation of China (grant no. 42275142), the National Key R&amp;D Program of China (grant no. 2026YFE0102400). This work was also supported by High-performance Computing Platform of Peking University.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e3061">This paper was edited by Jian Xu and reviewed by two anonymous referees.</p>
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