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Efficient storage through adsorbed natural gas technology necessitates an understanding of CH\n                    <jats:sub>4<\/jats:sub>\n                    \u2013adsorbent interactions. This study explored CH\n                    <jats:sub>4<\/jats:sub>\n                    adsorption on activated carbons at 1\u201335\u2009bar and 298\u2009K, determining an efficiency factor (\n                    <jats:italic>\u03c6<\/jats:italic>\n                    ) as an indicator of optimal pore size. In the given system,\n                    <jats:italic>\u03c6<\/jats:italic>\n                    ranged from 2.0 at 1\u2009bar to 2.5 at 35\u2009bar, indicating an increasing trend with pressure. To gain further insights, quantitative contributions (\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$${k}_{x}$$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:msub>\n                            <mml:mrow>\n                              <mml:mi>k<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mrow>\n                              <mml:mi>x<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    ) were established based on different micropore sizes (\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$${d}_{{\\rm{i}}}$$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:msub>\n                            <mml:mrow>\n                              <mml:mi>d<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mrow>\n                              <mml:mi>i<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    \u2009&lt;\u20090.76\u2009nm, 0.76\u2009nm &lt;\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$${d}_{{\\rm{ii}}}$$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:msub>\n                            <mml:mrow>\n                              <mml:mi>d<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mrow>\n                              <mml:mi>ii<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    \u2009&lt;\u20091.14\u2009nm, and 1.14\u2009nm &lt;\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$${d}_{{\\rm{iii}}}$$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:msub>\n                            <mml:mrow>\n                              <mml:mi>d<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mrow>\n                              <mml:mi>iii<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    \u2009&lt;\u20092\u2009nm). At 1\u2009bar,\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$${k}_{{\\rm{i}}}$$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:msub>\n                            <mml:mrow>\n                              <mml:mi>k<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mrow>\n                              <mml:mi>i<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    ,\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$${k}_{{\\rm{ii}}}$$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:msub>\n                            <mml:mrow>\n                              <mml:mi>k<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mrow>\n                              <mml:mi>ii<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    , and\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$${k}_{{\\rm{iii}}}$$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:msub>\n                            <mml:mrow>\n                              <mml:mi>k<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mrow>\n                              <mml:mi>iii<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    contributed 91, 9, and 1%, respectively. These contribution values shifted to 35, 54, and 11% at 35\u2009bar, suggesting that effective pore sizes increase with increasing pressure. Notably, CH\n                    <jats:sub>4<\/jats:sub>\n                    capacity directly correlated with\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$${d}_{{\\rm{ii}}}$$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:msub>\n                            <mml:mrow>\n                              <mml:mi>d<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mrow>\n                              <mml:mi>ii<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    in the high-pressure adsorption. Atomistic computations were used to elucidate the role of pore sizes in facilitating CH\n                    <jats:sub>4<\/jats:sub>\n                    accessibility at different pressures. This comprehensive model provides valuable insights for designing optimal adsorbents, specifically targeting pore size-dependent applications such as gas adsorption and separation, as well as catalyst supports.\n                  <\/jats:p>","DOI":"10.1038\/s41427-025-00609-4","type":"journal-article","created":{"date-parts":[[2025,7,18]],"date-time":"2025-07-18T02:15:51Z","timestamp":1752804951000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Unveiling pore size contributions and host-guest interactions in methane adsorption under varying pressure conditions: a semi-empirical adsorption model"],"prefix":"10.1038","volume":"17","author":[{"given":"Jong-Hoon","family":"Lee","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jaewoon","family":"Lee","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Duho","family":"Kim","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Seul-Yi","family":"Lee","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6350-6135","authenticated-orcid":false,"given":"Soo-Jin","family":"Park","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2025,7,18]]},"reference":[{"key":"609_CR1","doi-asserted-by":"publisher","first-page":"604","DOI":"10.1038\/s41560-019-0427-x","volume":"4","author":"V Rozyyev","year":"2019","unstructured":"Rozyyev, V. et al. 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