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      Viscosities, diffusion coefficients, and mixing times of intrinsic fluorescent organic molecules in brown limonene secondary organic aerosol and tests of the Stokes–Einstein equation

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          Abstract

          <p><strong>Abstract.</strong> Viscosities and diffusion rates of organics within secondary organic aerosol (SOA) remain uncertain. Using the bead-mobility technique, we measured viscosities as a function of water activity (<span class="inline-formula"><i>a</i><sub>w</sub></span>) of SOA generated by the ozonolysis of limonene followed by browning by exposure to <span class="inline-formula">NH<sub>3</sub></span> (referred to as brown limonene SOA or brown LSOA). These measurements together with viscosity measurements reported in the literature show that the viscosity of brown LSOA increases by 3–5 orders of magnitude as the <span class="inline-formula"><i>a</i><sub>w</sub></span> decreases from 0.9 to approximately 0.05. In addition, we measured diffusion coefficients of intrinsic fluorescent organic molecules within brown LSOA matrices using rectangular area fluorescence recovery after photobleaching. Based on the diffusion measurements, as the <span class="inline-formula"><i>a</i><sub>w</sub></span> decreases from 0.9 to 0.33, the average diffusion coefficient of the intrinsic fluorescent organic molecules decreases from <span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M5" display="inline" overflow="scroll" dspmath="mathml"><mrow><mn mathvariant="normal">5.5</mn><mo>×</mo><msup><mn mathvariant="normal">10</mn><mrow><mo>-</mo><mn mathvariant="normal">9</mn></mrow></msup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="51pt" height="14pt" class="svg-formula" dspmath="mathimg" md5hash="6c4c63375ff885c7d6d1a8e725667a4c"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="acp-19-1491-2019-ie00001.svg" width="51pt" height="14pt" src="acp-19-1491-2019-ie00001.png"/></svg:svg></span></span> to <span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M6" display="inline" overflow="scroll" dspmath="mathml"><mrow><mn mathvariant="normal">7.1</mn><mo>×</mo><msup><mn mathvariant="normal">10</mn><mrow><mo>-</mo><mn mathvariant="normal">13</mn></mrow></msup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="55pt" height="14pt" class="svg-formula" dspmath="mathimg" md5hash="01f92ec1f17e6e4f6cd525b9f501bfa9"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="acp-19-1491-2019-ie00002.svg" width="55pt" height="14pt" src="acp-19-1491-2019-ie00002.png"/></svg:svg></span></span> cm<span class="inline-formula"><sup>2</sup></span> s<span class="inline-formula"><sup>−1</sup></span> and the mixing times of intrinsic fluorescent organic molecules within 200 nm brown LSOA particles increases from 0.002 to 14 s. These results suggest that the mixing times of large organics in the brown LSOA studied here are short (<span class="inline-formula"><i>&amp;lt;</i>1</span> h) for <span class="inline-formula"><i>a</i><sub>w</sub></span> and temperatures often found in the planetary boundary layer (PBL). Since the diffusion coefficients and mixing times reported here correspond to SOA generated using a high mass loading (<span class="inline-formula">∼1000</span> <span class="inline-formula">µ</span>g m<span class="inline-formula"><sup>−3</sup></span>), biogenic SOA particles found in the atmosphere with mass loadings <span class="inline-formula">≤10</span> <span class="inline-formula">µ</span>g m<span class="inline-formula"><sup>−3</sup></span> are likely to have higher viscosities and longer mixing times (possibly 3 orders of magnitude longer). These new measurements of viscosity and diffusion were used to test the accuracy of the Stokes–Einstein relation for predicting diffusion rates of organics within brown LSOA matrices. The results show that the Stokes–Einstein equation gives accurate predictions of diffusion coefficients of large organics within brown LSOA matrices when the viscosity of the matrix is as high as <span class="inline-formula">10<sup>2</sup></span> to <span class="inline-formula">10<sup>4</sup></span> Pa s. These results have important implications for predicting diffusion and mixing within SOA particles in the atmosphere.</p>

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                Author and article information

                Journal
                Atmospheric Chemistry and Physics
                Atmos. Chem. Phys.
                Copernicus GmbH
                1680-7324
                2019
                February 04 2019
                : 19
                : 3
                : 1491-1503
                Article
                10.5194/acp-19-1491-2019
                7395b39b-d921-4a09-a01a-62e7aed1449a
                © 2019

                https://creativecommons.org/licenses/by/4.0/

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