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            <mods:dateIssued encoding="w3cdtf">2024-11-18</mods:dateIssued>
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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: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>
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          <mods:identifier type="doi">10.57892/100-99</mods:identifier>
          <mods:classification displayLabel="sdnb" authority="sdnb">530</mods:classification>
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            <mods:displayForm>Mengel, Armin</mods:displayForm>
            <mods:nameIdentifier type="orcid" typeURI="http://orcid.org/">0009-0005-4035-115X</mods:nameIdentifier>
            
            <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:dateCreated encoding="w3cdtf">2024-05-07</mods:dateCreated>
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          <mods:accessCondition type="use and reproduction" xlink:href="http://www.mycore.org/classifications/mir_licenses#odc_odbl" xlink:type="simple"/>
          <mods:accessCondition type="expiredEmbargo" xlink:type="simple">2024-11-17</mods:accessCondition>
          <mods:physicalDescription>
            <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:identifier type="open-aire">info:eu-repo/grantAgreement/DFG/443791209/GR 1608%2F9-1/EU/Entwicklung einer neuen Methode zur Messung von Elektronenhaftkoeffizienten mit Hilfe staubiger Plasmen/</mods:identifier>
          <mods:subject xlink:type="simple">
            <mods:topic xml:lang="en">Monte Carlo integration</mods:topic>
          </mods:subject>
          <mods:subject xlink:type="simple">
            <mods:topic xml:lang="en">computational geometry</mods:topic>
          </mods:subject>
          <mods:subject xlink:type="simple">
            <mods:topic authority="gnd" valueURI="https://d-nb.info/gnd/7518931-8">Monte-Carlo-Integration</mods:topic>
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          <mods:subject xlink:type="simple">
            <mods:topic authority="gnd" valueURI="https://d-nb.info/gnd/4130267-9">Algorithmische Geometrie</mods:topic>
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