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          <mods:titleInfo xlink:type="simple">
            <mods:title>Numerical calculation of the orientation-averaged projected area of an aggregate of spheres</mods:title>
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            <mods:roleTerm type="text" authority="marcrelator">Author</mods:roleTerm>
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            <mods:displayForm>Mengel, Armin</mods:displayForm>
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            <mods:namePart type="given">Armin</mods:namePart>
            <mods:namePart type="family">Mengel</mods:namePart>
            <mods:affiliation>Institute for Experimental and Applied Physics, Kiel University</mods:affiliation>
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            <mods:dateIssued encoding="w3cdtf">2024-11-18</mods:dateIssued>
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            <mods:dateCreated encoding="w3cdtf">2024-05-07</mods:dateCreated>
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            <mods:note xlink:type="simple">Both code files are MATLAB functions.&#13;
The main function to call within MATLAB is "sphere_aggregate_projected_area.m". It depends on an auxiliary function "MC_hit_circles_area.m".</mods:note>
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          <mods:abstract altRepGroup="af-b278-dd0fa2f46cf7" contentType="text/xml" altFormat="data:text/xml;charset=UTF-8;base64,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" xlink:type="simple"/>
          <mods:abstract altRepGroup="af-b278-dd0fa2f46cf7" xlink:type="simple">This MATLAB (https://www.mathworks.com/products/matlab.html) code computes the orientation-averaged projected area of an aggregate of spheres using random sampling of orientations and Monte Carlo computation of the projected area for each orientation. The algorithm is as described in: R. Gopalakrishnan, T. Thajudeen, and C. J. Hogan, “Collision limited reaction rates for arbitrarily shaped particles across the entire diffusive knudsen number range,” The Journal of Chemical Physics 135, 054302 (2011). The number of random orientations as well as the number of random points for each Monte Carlo area computation can be adjusted. An option to plot the aggregate in 3d in a simple way is also implemented. Details on input and output of the function can be found as comments in the main function file.</mods:abstract>
          <mods:subject xlink:type="simple">
            <mods:topic xml:lang="en">Monte Carlo integration</mods:topic>
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          <mods:subject xlink:type="simple">
            <mods:topic xml:lang="en">computational geometry</mods:topic>
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          <mods:subject xlink:type="simple">
            <mods:topic authority="gnd" valueURI="https://d-nb.info/gnd/7518931-8">Monte-Carlo-Integration</mods:topic>
          </mods:subject>
          <mods:subject xlink:type="simple">
            <mods:topic authority="gnd" valueURI="https://d-nb.info/gnd/4130267-9">Algorithmische Geometrie</mods:topic>
          </mods:subject>
          <mods:classification displayLabel="sdnb" authority="sdnb">530</mods:classification>
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          <mods:identifier type="doi">10.57892/100-99</mods:identifier>
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