<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "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-16-3245-2023</article-id><title-group><article-title>Design and evaluation of a thermal precipitation aerosol electrometer (TPAE)</article-title><alt-title>Design and evaluation of a TPAE</alt-title>
      </title-group><?xmltex \runningtitle{Design and evaluation of a TPAE}?><?xmltex \runningauthor{S. Kang et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Kang</surname><given-names>Shipeng</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Yu</surname><given-names>Tongzhu</given-names></name>
          <email>tzyu@aiofm.ac.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Yang</surname><given-names>Yixin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Wang</surname><given-names>Jiguang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff4">
          <name><surname>Gui</surname><given-names>Huaqiao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff4">
          <name><surname>Liu</surname><given-names>Jianguo</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7051-4272</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff3">
          <name><surname>Chen</surname><given-names>Da-Ren</given-names></name>
          <email>dchen3@vcu.edu</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>Key Laboratory of Environmental Optics and Technology, Anhui Institute of Optics and Fine Mechanics, <?xmltex \hack{\break}?>Hefei Institutes of Physical Science, Chinese Academy of Sciences, Hefei 230031, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>USTC (University of Science and Technology of China), Hefei 230026, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Particle Laboratory, Department of Mechanical and Nuclear Engineering, Virginia Commonwealth University,<?xmltex \hack{\break}?> Richmond, VA 23284, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Innovation Excellence Center for Urban Atmospheric Environment, Institute of Urban Environment,<?xmltex \hack{\break}?> Chinese Academy of Sciences, Xiamen 361021, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>China Automotive Technology and Research Center Co., Ltd, No. 68 Xianfeng East Road,<?xmltex \hack{\break}?> Dongli District, Tianjin 300300, China</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>CARARC Automotive Test Center (Kunming) Co., Ltd, No. 68 Donghuan Road, Kunming 651701, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Da-Ren Chen (dchen3@vcu.edu) and Tongzhu Yu (tzyu@aiofm.ac.cn)</corresp></author-notes><pub-date><day>28</day><month>June</month><year>2023</year></pub-date>
      
      <volume>16</volume>
      <issue>12</issue>
      <fpage>3245</fpage><lpage>3255</lpage>
      <history>
        <date date-type="received"><day>8</day><month>February</month><year>2023</year></date>
           <date date-type="rev-request"><day>3</day><month>March</month><year>2023</year></date>
           <date date-type="rev-recd"><day>26</day><month>April</month><year>2023</year></date>
           <date date-type="accepted"><day>11</day><month>May</month><year>2023</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 </copyright-statement>
        <copyright-year>2023</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/.html">This article is available from https://amt.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e180">A new aerosol electrometer (AE), the thermal precipitation aerosol electrometer (TPAE), was designed for use with particles of sizes less than 300 nm, and its performance was experimentally evaluated. The TPAE combines the thermal precipitator with a microcurrent measurement circuit board (i.e., pre-amplifier) for measuring the current carried by collected particles. The thermal precipitator is in the disk-to-disk configuration. Heating paste and air cooling were adopted to establish the desired temperature gradient in the precipitation chamber. At a sample flow rate of 0.3 L min<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and a temperature gradient of 264 K cm<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the precipitation efficiency of 70 nm particles reaches <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> %. The measurement range of the designed aerosol electrometer is <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> fA, and the accuracy is <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> fA (2500 to <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.25</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> using
a flow rate of 0.3 L min<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and assuming that only singly charged
particles exist in the sample). During the evaluation process, the
electrical performance of the TPAE was first tested using sodium chloride (NaCl) and soot particles previously classified by a differential mobility
analyzer (DMA) and compared to the reference. The precipitation performance
of the TPAE was then characterized as functions of the temperature gradient,
sampling flow rate and particle size. It was shown that the particle
collection efficiency of the built-in thermal precipitator is inversely
proportional to the sampling flow rate and proportional to the temperature
gradient. The effect of particle size on the particle collection efficiency
was minor for NaCl particles of sizes between 23 and 200 nm. Unlike that which was observed for the NaCl particles, a slightly positive correlation between the collection efficiency and the mobility size for soot particles (in the size range of 30–160 nm) was observed. This
observation might be due to the existence of soot agglomerates. Compared to existing electrometers, the TPAE does not require the use of high-efficiency filters and includes the additional feature of the “soft” collection of particles for offline particle characterization as well as aerosol current measurement.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>42005108</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="d1e293">Instruments for measuring the integral parameters of aerosol particles,
e.g., the total number, surface area and mass concentration of particles,
are important for the characterization of particulate matter (PM) emitted
from various PM sources. Example applications of such instruments include
the measurement of vehicle particle emissions (Faxvog and Roessler, 2007;
Kheirkhah et al., 2020), ocean aerosols (Held<?pagebreak page3246?> et al., 2011), atmospheric
aerosols (Hillemann et al., 2014) and urban particles (Mølgaard et al., 2013, Etzion and Broday, 2018; Alas et al., 2019). Furthermore, such measurement
instruments could be combined with a size or mobility classifier, e.g.,
differential mobility analyzers (DMAs), for measuring the size distribution
of aerosol particles. An example of the above is electrical mobility
particle sizers, which are widely applied for measuring the size
distribution of fine and ultrafine particles.</p>
      <p id="d1e296">Condensation particle counters (CPCs) and aerosol electrometers (AEs) are
both typically used for the characterization of the total number
concentration of aerosol particles. CPCs count the number of particles over
a given time by enlarging the particle size (via condensation of the working
fluid vapor) and counting them one by one (via optical means). The single-particle counting process of CPCs makes them suitable for measuring the
number concentration of particles, particularly at low concentrations. CPCs
have also been combined with DMAs (as scanning mobility particle sizers or
SMPSs) to measure the size distribution of submicrometer-sized particles.
The measurement task described above can also be accomplished by electrical
means, where particles are first required to be electrically charged. The
charge or current carried by the aerosol particles is then measured by an
aerosol electrometer (AE) according to Liu and Pui (1975). Therefore, aerosol charges are required to work
with AEs to measure the number concentration of particles (i.e., with the
known average charges on particles provided by the charger). Another
important usage of AEs is to calibrate the performance of CPCs using
DMA-classified particles (Giechaskiel et al., 2009). A commercial version of
the aerosol electrometer is the TSI Model 3068B. Note that the charger–AE
assembly in that model has been applied to measure the total mass and surface
area concentration of particles. However, the measurement tasks were
accomplished by empirical calibration of the assembly responses via selected
calibration particles. The calibration curves may be varied when measuring
particles with the composition different to that of calibration particles.</p>
      <p id="d1e299">A Faraday cup equipped with a high-efficiency filter is typically used in
aerosol electrometers to collect sampled particles and to induce the current
resulting from the continuous collection of charged particles. Yang et al. (2018a, b) developed an aerosol electrometer in which particles were collected by a metal filter, and then the current carried by particles was directly measured by a microcurrent measurement circuit (i.e., pre-amplifier) through a copper probe. The  miniature diffusion size classifier (miniDiSC) developed by Fierz et al. (2018) used two filter stages to collect particles of different sizes, in which a porous metal filter is used in the first stage to collect small particles. Liu et al. (2020) developed a miniature electrical ultrafine
particle sizer (mini-eUPS) in which a miniature aerosol electrometer was used after a
plate electrical mobility classifier to detect the current carried by
DMA-classified particles. A tapered element oscillating microbalance (TEOM)
filter disk is used in the mini aerosol electrometer. Seol et al. (2000)
developed a Faraday cup electrometer for operation at 200–930 Pa of
pressure in which porous metal mesh and filters are used for collecting
charged particles. Intra and Tippayawong (2014) used an aerosol electrometer to
measure atmospheric ions and charged particles in which the particle
collection was achieved using a high-efficiency particulate air (HEPA) filter.</p>
      <p id="d1e302">Charged particles could also be collected by inertial impaction on
electrically isolated metal substrates from which the current from the
continuous collection of charged particles can be directly measured. An
example of an instrument that uses such a technique is the electrical
low-pressure impactor (ELPI; Keskinen et al., 1992). Electrical precipitation is another method for collecting charged particles, such as
what is used in the Engine Exhaust Particle Sizer (EEPS) reported by Tammet
et al. (2002) and Wang et al. (2016a, b). Electrostatic precipitation is also
used in aerosol samplers for offline characterization of collected
particles. A nanometer aerosol sampler (TSI model 3089; Dixkens and Fissan,
1999) is one example of such an aerosol sampler. The collection of charged
particles either by filtration, inertial impaction or electrical means
makes it possible to alter the morphology of collected particles,
particularly for particle agglomerates (e.g., soot particles). However, the
methods above are not favored for offline SEM analysis of particles, if
required.</p>
      <p id="d1e306">Compared to the collection methods described above, the collection of
particles by thermal precipitation is a good candidate for the “soft”
collection of particles, e.g., disk (Kethley et al., 1952; Wang et al., 2012a), plate-to-plate (Tsai and Lu, 1995) and cylindrical thermal
precipitator (Bredl and Grieve, 1951; Wang et al., 2012b). Furthermore, the
minor particle size effect on particle collection by thermal precipitation
(for particles of sizes less than 300 nm) has been documented (Wang et al., 2012a). Note that collection by inertial impaction favors inertial particles,
and electrical collection favors diffusive particles. The effectiveness of
both collection methods depends significantly on the particle size.</p>
      <p id="d1e309">In a thermal precipitator, particles are introduced into a precipitation
zone in which a temperature gradient is established. The direction of the
temperature gradient is typically perpendicular to that of the flow
direction. Once the particles enter the precipitation chamber, the
thermophoretic force moves the particles from the hot plate to the cold
plate, and the particles eventually precipitate. If the cold plate is well
insulated from other metal structures, it could serve as an electrode for
current measurement, which also favors the cold environment due to the
reduction of thermal noise. However, the cold plates of existing thermal
precipitators cannot be directly connected to an electrometer due to poor
electrical insulation. The structure and cooling methods of thermal
precipitators must be redesigned for integrating thermal precipitation
particle collection with the measurement of the aerosol current.</p>
      <?pagebreak page3247?><p id="d1e312">The objective of this work is thus the development of a thermal
precipitation aerosol electrometer (TPAE), combining both thermal
precipitation with current measurement for charged particles in one device.
The overall performance of the prototype was experimentally calibrated and
compared to that offered by Faraday cup aerosol electrometers. For the
electrical performance evaluation, the zero point and response time of the
electrometer was calibrated, and the linear correlation of readouts of the
TPAE and the reference was examined. For the thermal precipitation
performance, the collection efficiency of the TPAE was investigated as
functions of the temperature gradient, sampling flow rate and particle
sizes. NaCl particles and soot particles were used as test particles.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Design of thermal precipitation aerosol electrometer</title>
      <p id="d1e323">Figure 1 shows the schematic diagram of the thermal precipitation aerosol
electrometer (TPAE). The TPAE consists of two parts: one part for the
thermal deposition of particles and the other for the measurement of current carried by collected particles. The thermal precipitation part is in the
disk-to-disk configuration. Sampled aerosol particles enter the
precipitation chamber from the inlet tube located at the disk center, then
radially flow outwards in the space defined by two separated and centered
disks, and eventually exit through a series of evenly distributed holes (at the outer diameter of the disks) to a circumferential chamber designed at the disk edge. A temperature gradient is established between two aluminum disks (with the top disk heated and the bottom disk cooled). The spacing between the two disks is controlled by PEEK (polyetheretherketone) gaskets. To improve the precipitation efficiency of particles and reduce the size of the TPAE, the constructed thermal precipitation chamber is 0.5 mm in gap distance and its diameter is 120 mm. In the thermal precipitation chamber, the temperature gradient deflects the motion of sampled particles from the flow. The top disk is heated by attaching a heating paster on its outside, while the cold disk is cooled by air flowing in the chamber underneath the precipitation chamber (i.e., air-cooling chamber). Driven by the suction from the outlet of the air-cooling chamber, the cooling air enters the chamber through a series of holes located close to the chamber's outer diameter. The flow rate of cooling air (<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> L min<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) is monitored by a mass flowmeter (Beijing Sevenstar Flow, Model CS100). Four thermistors (Songtian Electronics, 100 <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi><mml:mi mathvariant="normal">Ω</mml:mi></mml:mrow></mml:math></inline-formula>) were used to measure the temperatures of the heat and cold disks.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e360">Schematic diagram of the prototype thermal precipitation aerosol
electrometer (TPAE).</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://amt.copernicus.org/articles/16/3245/2023/amt-16-3245-2023-f01.png"/>

      </fig>

      <p id="d1e369">A spring-loaded solid copper pin is attached to the cold disk for measuring the current carried by the collected particles. With the above arrangement, the cold disk serves as the electrode for the current measurement and is enclosed in the cage formed by the hot metal plate and the air-cooling chamber, protecting the pre-amplifier from potential electromagnetic interference. Note that the copper pin is exposed to the cooling air, and the thermal noise of the pre-amplifier can also be reduced if cold air is used. As shown by the dashed line in Fig. 1, the current carried by the charged particles was measured through a <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> resistor of 10 <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">G</mml:mi><mml:mi mathvariant="normal">Ω</mml:mi></mml:mrow></mml:math></inline-formula> so that <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at the output pin of the pre-amplifier (ADA4530-1) can be calculated using the current. The supply voltage of the pre-amplifier is <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> V, resulting in the measuring range of the TPAE being <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> V/10 <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">G</mml:mi><mml:mi mathvariant="normal">Ω</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> fA. A capacitor <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (47 pF) was used to suppress the noise bandwidth. The current and the number of sampled particles (assuming all the particles are carrying the same charges) can be calculated using Eqs. (1) and (2), where <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the increment of discharge current, <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the increment of the pre-amplifier output, <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the increment of the number of collected particles, <inline-formula><mml:math id="M23" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula> is the elementary charge, <inline-formula><mml:math id="M24" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> is the average charge of the charged particles (determined by an aerosol charger, which is not a part of the TPAE), and <inline-formula><mml:math id="M25" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> is the particle collection efficiency:

              <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M26" display="block"><mml:mtable rowspacing="4.267913pt" displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd><mml:mtext>1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∫</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi><mml:mi>x</mml:mi><mml:mi mathvariant="italic">η</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          In practical terms,
          <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M27" display="block"><mml:mrow><mml:mfenced close="" open="{"><mml:mtable class="array" rowspacing="4.267913pt 4.267913pt" columnalign="center"><mml:mtr><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">pm</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">outm</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">pm</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
        where <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">pm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">outm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are measured values while <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are the zero-point value of the thermal precipitation aerosol electrometer. The zero points, <inline-formula><mml:math id="M33" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M34" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>, are parameters to be determined by experiments. To calculate <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">pm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the measurements, the zero point must be measured under the charged-particle-free flow condition (i.e., with a HEPA filter placed at the inlet of the TPAE).</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Experimental setup and data analysis</title>
      <p id="d1e783">To evaluate the performance of the TPAE, the basic performance of the
electrometer and the particle collection efficiency of the thermal
precipitation zone must first be investigated. The basic performance of the electrometer includes the zero point, the low response time, and its output linearity with the readout of a reference electrometer.</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Experimental setup</title>
      <p id="d1e793">Figure 2 shows the schematic diagram of the experimental setup to investigate the performance of the TPAE. The aerosol electrometer (TSI Model 3068B) was selected as the reference in the setup. NaCl droplets were generated by the atomizer (TSI Model 9302) with aqueous NaCl solutions of 0.005 g mL<inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and a diffusion-type dryer was used to remove<?pagebreak page3248?> the water in droplets. Soot particles were generated by a soot generator (Jing, Model miniCAST 6301C) with propane as the fuel. A diluter was applied to reduce the soot particle concentration. A differential mobility analyzer (DMA, TSI Model 3082) was utilized to classify test particles of selected electrical mobility sizes. Particles entering the DMA were passed through a soft X-ray aerosol charger (TSI Model 3088). A bypass line with a HEPA filter and a valve was included preceding the charger to make sure that the desired flow rate was entering the charger and the DMA. The prototype and a Faraday cup aerosol electrometer (TSI Model 3068B) were set up in parallel connected downstream of the DMA.
The other bypass line with a HEPA filter was also included to ensure the
total flow rate required for operation of the prototype and reference
electrometer. The sampled particle-laden flow was driven by a vacuum pump
and monitored by a laminar flowmeter. The sampled particle flow after the
TPAE was passed through a HEPA filter to remove any uncollected particles
prior to the laminar flowmeter. The cooling air of the TPAE was driven by
suction from the outlet of the air-cooling chamber via a pump. A vacuum pump
was connected to the TSI aerosol electrometer to drive its flow rate. Note
that the sampling flow rates of the TPAE and the TSI electrometer were kept the same in the experiments.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e810">Schematic diagram of experimental setup for the TPAE performance
evaluation.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://amt.copernicus.org/articles/16/3245/2023/amt-16-3245-2023-f02.png"/>

        </fig>

      <p id="d1e819">The <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">outm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of the TPAE was then converted to digital signals, which were sent to a PC so that <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">pm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> could be recorded in real time at 4 Hz and averaged to 1 Hz.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Experimental design</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Measurement of zero point</title>
      <p id="d1e859">A stable zero point is the basis for any current measurement by an
electrometer. A high fluctuation of the zero point increases the threshold
signal-to-noise ratio, making the measurement less sensitive, and a drifting of the zero point results in inaccurate measurements. An experiment using the setup described in the previous section was carried out to measure the zero point trend during the warm-up of the TPAE. In this part of the experiments, the air flow was entirely provided by the bypass line installed after the DMA, which was accomplished by shutting down the soot generator and valve in the bypass line installed before the soft X-ray aerosol charger. The sampling flow rates of the TPAE was set at 0.3 L min<inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The cooling air flow rate was at <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> L min<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. According to preliminary experiments, particles of sizes smaller than 100 nm were totally collected under this setting (thus it was set to be the typical TPAE working condition). Note that, due to the fact that the zero point varies based on the ambient temperature and many other environmental factors, it is measured prior to each test measurement.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>Experiment of response time</title>
      <p id="d1e904">A step response experiment was performed to measure the response time of the TPAE. For an aerosol electrometer, the response time is affected by the rate of particle collection and the performance of the pre-amplifier. In this part of the calibration, the soot generator was used. The temperature gradient of the TPAE was set at 264 K cm<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The sample flow rates of the TPAE and the TSI aerosol electrometer were kept at either 0.3 or 0.6 L min<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The response time of the TPAE was tested under two working settings, i.e., at 0.3 L min<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> to study the full precipitation efficiency (<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> %) and at 0.6 L min<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the low collection efficiency. After the two aerosol electrometers were warmed up, a switch valve (installed between the atomizer and soot generator lines) was used to manually impose a step change in the number concentration of soot particles. The DMA was set to classify soot particles with an electrical mobility size of 70 nm.</p><?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page3249?><sec id="Ch1.S3.SS2.SSS3">
  <label>3.2.3</label><title>Investigation of the linearity of two aerosol electrometer readouts</title>
      <p id="d1e974">This part of the experiment calibrated the readout linearity of both the
TPAE and the TSI aerosol electrometer. The collection efficiency of the HEPA filter used in the TSI aerosol electrometer is close to 100 %. The particle collection efficiency of the TPAE was assumed to be constant with the given temperature gradient and sampling flow rate according to previous works (Wang et al., 2012a). For this calibration, soot particles of various
concentrations were produced. The electrical mobility size of test particles was 70 nm (classified by the DMA). The temperature gradient of the TPAE was maintained at 264 K cm<inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and the sampling flow rates of the TPAE and the TSI aerosol electrometer were both set at 0.3 L min<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. For each test concentration, the average of the readouts in 1 min was reported for the comparison.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS4">
  <label>3.2.4</label><title>Study of the particle collection efficiency of the TPAE</title>
      <p id="d1e1009">For this part of the study, the collection efficiency of the TPAE was measured
as the function of the sampling flow rate, temperature gradient and
electrical mobility size, i.e., <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold">∇</mml:mi><mml:mi mathvariant="bold-italic">T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, respectively, where
<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mi mathvariant="bold">∇</mml:mi><mml:mi mathvariant="bold-italic">T</mml:mi></mml:mrow></mml:math></inline-formula> is the temperature gradient of thermal precipitation field, <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the electromigration particle diameter and <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the sampling flow rate. For the measurements of <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold">∇</mml:mi><mml:mi mathvariant="bold-italic">T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of the prototype, sodium chloride particles with electrical mobility diameters ranging from 23–200 nm were tested, while
for <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, both sodium chloride and soot particles were tested.</p>
      <p id="d1e1145">By keeping the transport tubes that connect the DMA exit to
both the TPAE and the TSI aerosol electrometer the same length, it was assumed that the particle loss in the tubes was the same since the sampling flow rate of
both electrometers was kept the same for a given test. The collection
efficiency, <inline-formula><mml:math id="M58" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>, was then calculated by Eq. (4), where <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the current measured by the TSI aerosol electrometer:
              <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M60" display="block"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">pm</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            The temperature gradient,
<inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mi mathvariant="bold">∇</mml:mi><mml:mi mathvariant="bold-italic">T</mml:mi></mml:mrow></mml:math></inline-formula>, was calculated by Eq. (5), where <inline-formula><mml:math id="M62" display="inline"><mml:mi>W</mml:mi></mml:math></inline-formula> is the gap distance of
the thermal precipitation zone, and the direction of <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mi mathvariant="bold">∇</mml:mi><mml:mi mathvariant="bold-italic">T</mml:mi></mml:mrow></mml:math></inline-formula> is perpendicular to the disks (from the hot one to the cold one):
              <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M64" display="block"><mml:mrow><mml:mfenced open="|" close="|"><mml:mrow><mml:mi mathvariant="bold">∇</mml:mi><mml:mi mathvariant="bold-italic">T</mml:mi></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">hot</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">cold</mml:mi></mml:msub></mml:mrow><mml:mi>W</mml:mi></mml:mfrac></mml:mstyle><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            Varying the <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mi mathvariant="bold">∇</mml:mi><mml:mi mathvariant="bold-italic">T</mml:mi></mml:mrow></mml:math></inline-formula> was done by changing the cooling flow rate. The electrical mobility diameter, <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, of the test particles was determined by the DMA operation, whose ratio of sheath flow to aerosol sampling flow rate was <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>. The sampling flow rate of the TPAE, <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, was controlled by a valve and monitored by a laminar flowmeter. Table 1 summarizes the experimental
conditions for this part of the study.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e1309">Experimental conditions for the measurements of TPAE collection
efficiency.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Measured</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col5" align="center">Experimental condition </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mfenced close="|" open="|"><mml:mrow><mml:mi mathvariant="bold">∇</mml:mi><mml:mi mathvariant="bold-italic">T</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Material</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(nm)</oasis:entry>
         <oasis:entry colname="col3">(K cm<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">(L min<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">70, 200</oasis:entry>
         <oasis:entry colname="col3">254</oasis:entry>
         <oasis:entry colname="col4">0.3–1.0</oasis:entry>
         <oasis:entry colname="col5">NaCl</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold">∇</mml:mi><mml:mi mathvariant="bold-italic">T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">70</oasis:entry>
         <oasis:entry colname="col3">160–310</oasis:entry>
         <oasis:entry colname="col4">0.3, 0.6</oasis:entry>
         <oasis:entry colname="col5">NaCl</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">23–200</oasis:entry>
         <oasis:entry colname="col3">254</oasis:entry>
         <oasis:entry colname="col4">0.3, 0.6</oasis:entry>
         <oasis:entry colname="col5">NaCl, Soot</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{1}?></table-wrap>

</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Model for the particle collection efficiency of thermal precipitation</title>
      <?pagebreak page3250?><p id="d1e1535">To validate the measured particle collection efficiency of the TPAE, we
applied the model developed by Wang et al. (2012a) to calculate the thermal
deposition efficiency of thermal precipitators in the disk-to-disk
configuration and compared them to our measurements. The details of the
model can be found in the work of Wang et al. (2012a). A summary of the model
is given for reference. Assuming that the flow is steady-state, incompressible, laminar and axisymmetric, and that particles are evenly
distributed at the entrance, the collection efficiency of thermal
precipitators in the disk configuration can be calculated as
            <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M77" display="block"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="italic">π</mml:mi><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">th</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the aerosol sampling flow rate, r the radius of the
precipitation disk and the thermal velocity is <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">V</mml:mi><mml:mi mathvariant="normal">th</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, which is calculated as
            <disp-formula id="Ch1.E7" content-type="numbered"><label>7</label><mml:math id="M80" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">V</mml:mi><mml:mi mathvariant="normal">th</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="italic">μ</mml:mi><mml:mi mathvariant="bold">∇</mml:mi><mml:mi mathvariant="bold-italic">T</mml:mi><mml:mi>H</mml:mi><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mi>T</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where
<inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mi mathvariant="bold">∇</mml:mi><mml:mi mathvariant="bold-italic">T</mml:mi></mml:mrow></mml:math></inline-formula> is the temperature gradient, <inline-formula><mml:math id="M82" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> is the absolute temperature
of particles, <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the density of carry gas and <inline-formula><mml:math id="M84" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> is the
thermophoretic coefficient. According to Talbot et al. (1980), <inline-formula><mml:math id="M85" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> can be
calculated by Eq. (8), where <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the conductivity of air and the particle, respectively; <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.147</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.20</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.146</mml:mn></mml:mrow></mml:math></inline-formula> are constants; <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the Cunningham correction factor calculated by Eq. (9).

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M92" display="block"><mml:mtable rowspacing="5.690551pt" displaystyle="true"><mml:mlabeledtr id="Ch1.E8"><mml:mtd><mml:mtext>8</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>H</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo mathsize="1.1em">(</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mi mathvariant="italic">Kn</mml:mi><mml:mo mathsize="1.1em">)</mml:mo></mml:mrow><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>C</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mi mathvariant="italic">Kn</mml:mi></mml:mrow></mml:mfenced><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mi mathvariant="italic">Kn</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E9"><mml:mtd><mml:mtext>9</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mfenced open="{" close=""><mml:mtable class="array" rowspacing="4.267913pt" columnalign="center"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mi mathvariant="italic">Kn</mml:mi><mml:mfenced close="]" open="["><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="italic">β</mml:mi><mml:mi>exp⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mo>-</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi mathvariant="italic">γ</mml:mi><mml:mi mathvariant="italic">Kn</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mi mathvariant="italic">Kn</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">λ</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.142</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.558</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.999</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M96" display="inline"><mml:mi mathvariant="italic">Kn</mml:mi></mml:math></inline-formula> is the Knudsen number and <inline-formula><mml:math id="M97" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> is the mean free path of air.</p>
      <p id="d1e1982">According to Eq. (6), the collection efficiency, <inline-formula><mml:math id="M98" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>, is inversely proportional to <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results and discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Performance of electrometer</title>
<sec id="Ch1.S4.SS1.SSS1">
  <label>4.1.1</label><title>Zero-point measurement</title>
      <p id="d1e2026">Figure 3 shows the readouts of the TPAE during warm-up. For reference, the
temperatures of the hot and cold disks are also given in the figure. At the initial time, the zero point of the electrometer was approximately 57 fA, and the temperatures of the hot and cold disks were both 22.3<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. During warm-up, the temperatures of the plates rose at different rates, establishing the increasing temperature gradient. The hot and cold disk temperatures eventually stabilized at 61.40<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.20</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) and 48.15<inline-formula><mml:math id="M104" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.15</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M106" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>), respectively.
In the meantime, the TPAE readout reduced and finally stabilized at <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.68</mml:mn></mml:mrow></mml:math></inline-formula> fA (<inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> fA). The warm-up of the prototype took approximately 40 min to establish the temperature gradient of 265 K cm<inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> K cm<inline-formula><mml:math id="M111" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). A higher temperature gradient can be realized by increasing the heating and cooling powers.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e2149">The readout of the TPAE during the warm-up process (particle-free air was used).</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/16/3245/2023/amt-16-3245-2023-f03.png"/>

          </fig>

      <p id="d1e2158">Assuming that particles in the sample gas are singly charged, sampling
flow rate is <inline-formula><mml:math id="M112" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M113" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula> is elementary charge, the current <inline-formula><mml:math id="M114" display="inline"><mml:mi>I</mml:mi></mml:math></inline-formula> can be
calculated as <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mi>e</mml:mi><mml:mi>N</mml:mi><mml:mi>Q</mml:mi></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M116" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is the particle number concentration. If
<inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mi>Q</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> L min<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1250</mml:mn></mml:mrow></mml:math></inline-formula> (cm<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) per femtoampere, the <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> fA fluctuation is the equivalent of <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2500</mml:mn></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S4.SS1.SSS2">
  <label>4.1.2</label><title>Response time measurement</title>
      <p id="d1e2291">Figure 4 shows the readout of the TPAE experiencing a step change in the
number concentration of soot particles at sampling flow rates of 0.3 L min<inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (a) and 0.6 L min<inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (b). For reference, the readout of the TSI aerosol electrometer is also included. It is found that the trends of the TPAE and the TSI aerosol electrometer are consistent. Ideally, <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">TPAE</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> equals <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">3068</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">TPAE</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">3068</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the particle collection efficiency of the TPAE. The efficiency data as a function of time are also included in the figure. During the time periods of 0–30 and 140–170 s with the sampling flow rate at 0.3 L min<inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and the periods of 0–16 and 80–100 s with 0.6 L min<inline-formula><mml:math id="M131" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the current readouts were very low (close to zero), resulting in an unsteady <inline-formula><mml:math id="M132" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>. Conversely, during the time periods of 40–120 and 25–70 s for the flow rates of 0.3 and 0.6 L min<inline-formula><mml:math id="M133" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively, the collection efficiency was constant. This is because the number concentration of the test particles was stable and the <inline-formula><mml:math id="M134" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> was kept constant (i.e., 98.5 % (<inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> %) for the 0.3 L min<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> case and 56.0 % (<inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> %) for the 0.6 L min<inline-formula><mml:math id="M138" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> case).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e2498">The readout of the TPAE in response to the step particle concentration
change. The readout of the TSI aerosol electrometer was also included as the
reference.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/16/3245/2023/amt-16-3245-2023-f04.png"/>

          </fig>

      <p id="d1e2507">For the sampling flow rate of 0.3 L min<inline-formula><mml:math id="M139" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the collection efficiency during the time period of 30–40 s was less than 98.5 %, indicating that the response of the TPAE to a step rise in the particle concentration is slower than that offered by the TSI aerosol electrometer. The same observation can be found in the time period of 125–135 s. However, the
response time difference between the two electrometers is within 1 s. A similar conclusion can be reached by examining the case with the sampling flow rate of 0.6 L min<inline-formula><mml:math id="M140" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Therefore, the response of the TPAE can keep up with that of the TSI aerosol electrometer within 1 s. The response of the AEs can be<?pagebreak page3251?> characterized by the times for the reading to rise from 10 % to 90 % of the final readout and for the reading to reduce from 90 % of an initial reading to 10 % when subjected to a step change in the particle concentration, i.e., <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mn mathvariant="normal">90</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, respectively. The values of <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mn mathvariant="normal">90</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> calculated from Fig. 4 are summarized in Table 2. Compared to the response times of the TSI3068B, the TPAE response time is almost the same as that of the TSI3068B at the flow rate of 0.3 L min<inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and slightly faster at the flow rate of 0.6 L min<inline-formula><mml:math id="M146" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e2627">Response time of TPAE and TSI3068B.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Parameters</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col3" colsep="1">0.3 L min<inline-formula><mml:math id="M147" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" namest="col4" nameend="col5">0.6 L min<inline-formula><mml:math id="M148" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">TPAE</oasis:entry>
         <oasis:entry colname="col3">TSI3068B</oasis:entry>
         <oasis:entry colname="col4">TPAE</oasis:entry>
         <oasis:entry colname="col5">TSI3068B</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">3.96 s</oasis:entry>
         <oasis:entry colname="col3">3.83 s</oasis:entry>
         <oasis:entry colname="col4">1.83 s</oasis:entry>
         <oasis:entry colname="col5">2.08 s</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mn mathvariant="normal">90</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">6.59 s</oasis:entry>
         <oasis:entry colname="col3">6.63 s</oasis:entry>
         <oasis:entry colname="col4">2.65 s</oasis:entry>
         <oasis:entry colname="col5">3.52 s</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{2}?></table-wrap>

</sec>
<sec id="Ch1.S4.SS1.SSS3">
  <label>4.1.3</label><title>Readout linearity between two aerosol electrometers</title>
      <p id="d1e2775">Figure 5 shows the readout correlation between the TPAE and TSI aerosol
electrometers at the sampling flow rates of 0.3 and 0.6 L min<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. A linear correlation between the two readouts was observed. In the case of 0.3 L min<inline-formula><mml:math id="M152" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Fig. 5a), the best linear fitting resulted in a slope of 0.989. Note that the slope of this best linear fitting is the particle collection efficiency of the TPAE. It is because the collection efficiency of the TSI aerosol electrometer is close to 100 %. Similarly, in the case of 0.6 L min<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Fig. 5b), the best linear fitting with a straight line obtained a slope of 0.562. The observation above of reduced particle collection efficiency with the increase of sampling flow rate is expected according to Eq. (3).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e2816">Linear correlation between the readouts of the TPAE and TSI aerosol
electrometer.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/16/3245/2023/amt-16-3245-2023-f05.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Investigation of TPAE particle collection efficiency</title>
<sec id="Ch1.S4.SS2.SSS1">
  <label>4.2.1</label><title>Effect of temperature gradient</title>
      <p id="d1e2841">Figure 6 shows the particle collection efficiency of the TPAE as the function of the temperature gradient for NaCl particles<?pagebreak page3252?> of 70 nm in size and at the sampling flow rates of 0.3 and 0.6 L min<inline-formula><mml:math id="M154" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. It is found that, for the 0.3 L min<inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> flow rate, the collection efficiency linearly increases with the increase of the temperature gradient, and the collection efficiency reached <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> % when the gradient exceeded 264 K cm<inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. For the flow rate of 0.6 L min<inline-formula><mml:math id="M158" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the collection efficiency is again linearly increased with the increase of temperature gradient within the test gradient range but did not reach <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> % collection efficiency. The above experimental observation is consistent with that given by Eq. (6).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e2915">Calibration of collection efficiency and temperature gradient.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/16/3245/2023/amt-16-3245-2023-f06.png"/>

          </fig>

</sec>
<sec id="Ch1.S4.SS2.SSS2">
  <label>4.2.2</label><title>Effects of sampling flow rate and particle size</title>
      <p id="d1e2932">In this part of the experiments, the temperature gradient in the TPAE was
set at 264 K cm<inline-formula><mml:math id="M160" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and NaCl particles of 70 and 200 nm in sizes were selected for this investigation. The sampling flow rate of the TPAE was varied from 0.3 to 1.0 L min<inline-formula><mml:math id="M161" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Figure 7 shows the measured particle collection efficiency of the TPAE as a function of the sampling flow rate for a given particle size. As expected, for a given particle size, the collection efficiency was reduced as the sampling flow rate increased, and the reduction characteristics followed what was expected from Eq. (3); i.e., the collection efficiency is inversely proportional to the sampling flow rate <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. As a result, the products of <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>⋅</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mrow><mml:mn mathvariant="normal">70</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>⋅</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mrow><mml:mn mathvariant="normal">200</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> remained <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mn mathvariant="normal">30.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn></mml:mrow></mml:math></inline-formula> % L min<inline-formula><mml:math id="M166" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:mn mathvariant="normal">26.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn></mml:mrow></mml:math></inline-formula> % L min<inline-formula><mml:math id="M168" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e3075">The particle collection efficiency of the TPAE as the function of
sampling flow rate at two different NaCl particles sizes, i.e., <bold>(a)</bold> 70 and <bold>(b)</bold> 200 nm.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/16/3245/2023/amt-16-3245-2023-f07.png"/>

          </fig>

      <p id="d1e3090">The effect of particle size on the TPAE collection efficiency is given in
Fig. 8 for the sampling flow rates of 0.3 and 0.6 L min<inline-formula><mml:math id="M169" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. For particle sizes less than 120 nm, the efficiency was <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">98.9</mml:mn></mml:mrow></mml:math></inline-formula> % and
<inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">48.5</mml:mn></mml:mrow></mml:math></inline-formula> % for both 0.3 and 0.6 L min<inline-formula><mml:math id="M172" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> flow rates,
respectively. As the particle diameter increased, the collection efficiency of the TPAE was slightly decreased, which is consistent with the thermal precipitation velocity obtained in previous works (Beresnev et al., 2019; Wang et al., 2012a). According to Eqs. (7)–(9), the larger the particle size, the lower the thermal precipitation velocity.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e3140">The measured TPAE particle collection efficiency as a function of
the NaCl particle size for the sampling flow rate of 0.3 and 0.6 L min<inline-formula><mml:math id="M173" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/16/3245/2023/amt-16-3245-2023-f08.png"/>

          </fig>

</sec>
<sec id="Ch1.S4.SS2.SSS3">
  <label>4.2.3</label><title>Collection efficiency for soot particles</title>
      <p id="d1e3169">In addition to NaCl particles, soot particles were also used for the
collection efficiency measurement. The electrical mobility size of soot
particles ranging from 23 to 200 nm was tested. The measured particle
collection efficiency as a function of electrical mobility size at the
temperature gradient of 264 K cm<inline-formula><mml:math id="M174" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and the sampling flow rates of 0.3 and 0.6 L min<inline-formula><mml:math id="M175" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> is given in Fig. 9. A slightly positive correlation of the collection efficiency with the electrical mobility size<?pagebreak page3253?> was found. As shown in Fig. 9, the collection efficiency at the sampling flow rate of 0.3 L min<inline-formula><mml:math id="M176" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> achieved <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> % as the particle size increased. In the case of 0.6 L min<inline-formula><mml:math id="M178" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the collection slightly increased with the increase of electrical mobility particle size. The experiment results are consistent with that reported by Beresnev et al. (2019). It is known that soot particles are agglomerates of primary particles. Their thermal precipitation velocity cannot be estimated using Eqs. (7)–(9) because the equation assumes particles are solid and in a spherical shape. For soot particles, their density and thermal conductivity are very different from the bulk material, and their shapes are not spherical. The effect of particle shape may play an important role in the thermal deposition of soot particles, because the collection efficiency of 23 nm soot particles at the sampling flow rate of 0.6 L min<inline-formula><mml:math id="M179" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> was 46.4 %, which approximately equals that of NaCl particles (45.9 %). This may be because soot agglomerates are structured only by a few of the primary particles at small mobility sizes.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e3245">The measured TPAE particle collection efficiency as a function of
the soot particle size for the sampling flow rate of 0.3 and 0.6 L min<inline-formula><mml:math id="M180" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/16/3245/2023/amt-16-3245-2023-f09.png"/>

          </fig>

</sec>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusion</title>
      <p id="d1e3277">A new type of aerosol electrometer, the thermal precipitation aerosol electrometer (TPAE), has been developed in this work. Its overall performance has been experimentally calibrated and compared with that of a reference (TSI aerosol electrometer). The design of the TPAE integrates the thermal precipitation chamber with a microcurrent measurement circuit. The precipitation chamber is in the disk-to-disk configuration and its temperature gradient is established by heating the top disk and cooling the bottom disk. Air cooling was used in the TPAE instead of the liquid cooling used in previous works. A current probe (i.e., solid copper pin) in the microcurrent measurement circuit was attached to the cold disk (converting it into an electrode), which was enclosed by the top disk and air-cooling chamber to minimize the potential interference from the ambient
electromagnetic waves.</p>
      <p id="d1e3280">For the performance calibration, the zero point of the prototype was first
measured during warm-up to the stable operation. The zero-point current
converged to 20.68 fA (<inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> fA) for the TPAE. The measurement of the TPAE response time was also conducted and compared to that of the reference. It was found that the difference between both electrometers was within 1 s. A linear correlation between the readouts of both aerosol
electrometers was also confirmed.</p>
      <p id="d1e3293">The collection efficiency of the TPAE was experimentally investigated. It
was found that the effects of temperature gradient, sampling flow rate and
particle size on the particle collection efficiency are consistent with
those obtained from previous models and experimental data. In addition to
NaCl particles, soot particles were also used in the collection efficiency
measurements. It was found that the collection efficiency of soot particles
was slightly increased as the mobility particle sizes increased at a given
setting of sampling flow rate and temperature gradient, which is different
from that of NaCl particles. This observation is probably due to the fact
that soot particles in large mobility sizes are agglomerates of the primary
particles instead of solid, spherical particles (which is what is assumed by
the models), and that soot agglomerates have different density and thermal
conductivities compared with those of the bulk materials.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e3300">Requests for all data in this study and any questions regarding the data can be directed to Shipeng Kang (spkang@mail.ustc.edu.cn).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e3306">SK: writing – original draft, visualization, data curation and analysis.
TY: sample collection, project administration. YY: resources, data
validation. JW: experiment design. HG: writing – review. JL: conceptualization,
supervision. DC: writing – review and editing, experiment design, formal
analysis.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e3312">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e3318">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><notes notes-type="sistatement"><title>Special issue statement</title>

      <p id="d1e3324">This article is part of the special issue “In-depth study of the atmospheric chemistry over the Tibetan Plateau: measurement, processing, and the impacts on climate and air quality (ACP/AMT inter-journal SI)”. It is not associated with a conference.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3330">This research was supported by the National Natural Science Foundation of
China (grant no. 42005108), the Science and Technological Fund of Anhui Province (grant no. 2008085MD116), Major Subject of Science and Technology of Anhui Province (grant no. 202003a07020005), Strategic Priority Research Program of the Chinese Academy of Sciences (grant no. XDA23010200), the National Engineering Laboratory for Mobile Source Emission Control Technology (grant no. NELMS2020A09) and the HFIPS Director's Fund (grant no. BJPY2021A04).</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e3335">This research has been supported by the National Natural Science Foundation of China (grant no. 42005108).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e3341">This paper was edited by Xin Li and reviewed by Christof Asbach and one anonymous referee.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><?label 1?><mixed-citation>Alas, H. D. C., Weinhold, K., Costabile, F., Di Ianni, A., Müller, T., Pfeifer, S., Di Liberto, L., Turner, J. R., and Wiedensohler, A.: Methodology for high-quality mobile measurement with focus on black carbon and particle mass concentrations, Atmos. Meas. Tech., 12, 4697–4712, <ext-link xlink:href="https://doi.org/10.5194/amt-12-4697-2019" ext-link-type="DOI">10.5194/amt-12-4697-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><?label 1?><mixed-citation>Beresnev, S. A., Vasiljeva, M. S., and Kochneva, L. B.: Motion of
fractal-like aggregates: particle settling velocity and thermophoresis,
Atmospheric and Oceanic Optics, 32, 528–533, <ext-link xlink:href="https://doi.org/10.1134/s102485601905004x" ext-link-type="DOI">10.1134/s102485601905004x</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><?label 1?><mixed-citation>
Bredl, J. and Grieve, T. W.: A thermal precipitator for the gravimetric
estimation of solid particles in flue gases, J. Sci. Instrum., 28, 21–23, 1951.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><?label 1?><mixed-citation>
Dixkens, J. and Fissan, H.: Development of an electrostatic precipitator
for off-line particle analysis, Aerosol Sci. Tech., 30, 438–453, 1999.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><?label 1?><mixed-citation>Etzion, Y. and Broday, D. M.: Highly resolved spatiotemporal variability of
fine particle number concentrations in an urban neighborhood, J. Aerosol Sci., 117, 118–126, <ext-link xlink:href="https://doi.org/10.1016/j.jaerosci.2018.01.004" ext-link-type="DOI">10.1016/j.jaerosci.2018.01.004</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><?label 1?><mixed-citation>Faxvog, F. R. and Roessler, D. M.: Mass concentration of diesel particle
emissions from photoacoustic and opacity measurements, Aerosol Sci. Tech., 1, 225–234, <ext-link xlink:href="https://doi.org/10.1080/02786828208958590" ext-link-type="DOI">10.1080/02786828208958590</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><?label 1?><mixed-citation>Fierz, M., Houle, C., Steigmeier, P., and Burtscher, H.: Design,
calibration, and field performance of a miniature diffusion size classifier,
Aerosol Sci. Tech., 45, 1–10, <ext-link xlink:href="https://doi.org/10.1080/02786826.2010.516283" ext-link-type="DOI">10.1080/02786826.2010.516283</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><?label 1?><mixed-citation>Giechaskiel, B., Wang, X., Horn, H. G., Spielvogel, J., Gerhart, C.,
Southgate, J., Jing, L., Kasper, M., Drossinos, Y., and Krasenbrink, A.:
Calibration of condensation particle counters for legislated vehicle number
emission measurements, Aerosol Sci. Tech., 43, 1164–1173,
<ext-link xlink:href="https://doi.org/10.1080/02786820903242029" ext-link-type="DOI">10.1080/02786820903242029</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><?label 1?><mixed-citation>Held, A., Orsini, D. A., Vaattovaara, P., Tjernström, M., and Leck, C.: Near-surface profiles of aerosol number concentration and temperature over the Arctic Ocean, Atmos. Meas. Tech., 4, 1603–1616, <ext-link xlink:href="https://doi.org/10.5194/amt-4-1603-2011" ext-link-type="DOI">10.5194/amt-4-1603-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><?label 1?><mixed-citation>Hillemann, L., Zschoppe, A., Caldow, R., Sem, G. J., and Wiedensohler, A.:
An ultrafine particle monitor for size-resolved number concentration
measurements in atmospheric aerosols, J. Aerosol Sci., 68, 14–24,
<ext-link xlink:href="https://doi.org/10.1016/j.jaerosci.2013.10.007" ext-link-type="DOI">10.1016/j.jaerosci.2013.10.007</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><?label 1?><mixed-citation>Intra, P. and Tippayawong, N.: Development and evaluation of a Faraday Cup
Electrometer for measuring and sampling atmospheric ions and charged
aerosols, Particul. Sci. Technol., 33, 257–263,
<ext-link xlink:href="https://doi.org/10.1080/02726351.2014.952392" ext-link-type="DOI">10.1080/02726351.2014.952392</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><?label 1?><mixed-citation>
Keskinen, J., Pietarinen, K., and Lehtimaki, M.: Electrical Low-Pressure
Impactor, J. Aerosol Sci., 23, 353–360, 1992.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><?label 1?><mixed-citation>
Kethley, T. W., Gordon, M. T., and Orr, C.: A thermal precipitator for
aerobacteriology, Science, 116, 368–369, 1952.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><?label 1?><mixed-citation>
Kheirkhah, P., Baldelli, A., Kirchen, P., and Rogak, S.: Development and
validation of a multi-angle light scattering method for fast engine soot
mass and size measurements, Aerosol Sci. Tech., 54, 1083–1101, 2020.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><?label 1?><mixed-citation>
Liu, B. Y. H. and Pui, D. Y. H.: On the performance of the electrical
aerosol analyzer, J. Aerosol Sci., 6, 249–264, 1975.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><?label 1?><mixed-citation>Liu, Q., Liu, D., Chen, X., Zhang, Q., Jiang, J., and Chen, D.-R.: A
cost-effective, miniature electrical ultrafine particle sizer (mini-eUPS)
for ultrafine particle (UFP) monitoring network, Aerosol Air Qual. Res., 20, 231–241, <ext-link xlink:href="https://doi.org/10.4209/aaqr.2018.11.0427" ext-link-type="DOI">10.4209/aaqr.2018.11.0427</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><?label 1?><mixed-citation>Mølgaard, B., Birmili, W., Clifford, S., Massling, A., Eleftheriadis, K.,
Norman, M., Vratolis, S., Wehner, B., Corander, J., Hämeri, K., and Hussein,
T.: Evaluation of a statistical forecast model for size-fractionated urban
particle number concentrations using data from five European cities, J. Aerosol Sci., 66, 96–110, <ext-link xlink:href="https://doi.org/10.1016/j.jaerosci.2013.08.012" ext-link-type="DOI">10.1016/j.jaerosci.2013.08.012</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><?label 1?><mixed-citation>
Seol, K. S., Tsutatani, Y., Camata, R. P., Yabumoto, J., Isomura, S., Okada,
Y., Okuyama, K., and Takeuchi, K.: A differential mobility analyzer and a
Faraday Cup Electrometer for operation at 200–930 Pa pressure, J. Aerosol Sci., 31, 1389–1395, 2000.</mixed-citation></ref>
      <?pagebreak page3255?><ref id="bib1.bib19"><label>19</label><?label 1?><mixed-citation>
Talbot, L., Cheng, R. K., Schefer, R. W., and Willis, D. R.: Thermophoresis
of particles in a heated boundary-layer, J. Fluid Mech., 101, 737–758, 1980.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><?label 1?><mixed-citation>
Tammet, H., Mirme, A., and Tamm, E.: Electrical aerosol spectrometer of
Tartu University, Atmos. Res., 62, 315–324, 2002.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><?label 1?><mixed-citation>Tsai, C.-J. and Lu, H.-C.: Design and evaluation of a plate-to-plate
thermophoretic precipitator, Aerosol Sci. Tech., 22, 172–180,
<ext-link xlink:href="https://doi.org/10.1080/02786829408959738" ext-link-type="DOI">10.1080/02786829408959738</ext-link>, 1995.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><?label 1?><mixed-citation>Wang, B., Ou, Q., Tao, S., and Chen, D.-R.: Performance study of a
disk-to-disk thermal precipitator, J. Aerosol Sci., 52, 45–56,
<ext-link xlink:href="https://doi.org/10.1016/j.jaerosci.2012.04.004" ext-link-type="DOI">10.1016/j.jaerosci.2012.04.004</ext-link>, 2012a.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><?label 1?><mixed-citation>Wang, B., Tao, S., and Chen, D.-R.: A cylindrical thermal precipitator with
a particle size-selective inlet, Aerosol Sci. Tech., 46, 1227–1238, <ext-link xlink:href="https://doi.org/10.1080/02786826.2012.704097" ext-link-type="DOI">10.1080/02786826.2012.704097</ext-link>, 2012b.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><?label 1?><mixed-citation>Wang, X., Grose, M. A., Avenido, A., Stolzenburg, M. R., Caldow, R.,
Osmondson, B. L., Chow, J. C., and Watson, J. G.: Improvement of Engine
Exhaust Particle Sizer (EEPS) size distribution measurement – I. Algorithm
and applications to compact-shape particles, J. Aerosol Sci., 92,
95–108, <ext-link xlink:href="https://doi.org/10.1016/j.jaerosci.2015.11.002" ext-link-type="DOI">10.1016/j.jaerosci.2015.11.002</ext-link>, 2016a.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib25"><label>25</label><?label 1?><mixed-citation>Wang, X., Grose, M. A., Caldow, R., Osmondson, B. L., Swanson, J. J., Chow,
J. C., Watson, J. G., Kittelson, D. B., Li, Y., Xue, J., Jung, H., and Hu,
S.: Improvement of Engine Exhaust Particle Sizer (EEPS) size distribution
measurement – II. Engine exhaust particles, J. Aerosol Sci., 92,
83–94, <ext-link xlink:href="https://doi.org/10.1016/j.jaerosci.2015.11.003" ext-link-type="DOI">10.1016/j.jaerosci.2015.11.003</ext-link>, 2016b.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><?label 1?><mixed-citation>Yang, Y., Yu, T., Zhang, J., Wang, W., Gui, H., Du, P., and Liu, J.: Design
and evaluation of an Aerosol Electrometer with low noise and a wide dynamic
range, Sensors-Basel, 18, 1614, <ext-link xlink:href="https://doi.org/10.3390/s18051614" ext-link-type="DOI">10.3390/s18051614</ext-link>, 2018a.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><?label 1?><mixed-citation>Yang, Y., Yu, T., Zhang, J., Wang, J., Wang, W., Gui, H., and Liu, J.: On
the performance of an Aerosol Electrometer with enhanced detection limit,
Sensors-Basel, 18, 3889, <ext-link xlink:href="https://doi.org/10.3390/s18113889" ext-link-type="DOI">10.3390/s18113889</ext-link>, 2018b.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Design and evaluation of a thermal precipitation aerosol electrometer (TPAE)</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
      
Alas, H. D. C., Weinhold, K., Costabile, F., Di Ianni, A., Müller, T., Pfeifer, S., Di Liberto, L., Turner, J. R., and Wiedensohler, A.: Methodology for high-quality mobile measurement with focus on black carbon and particle mass concentrations, Atmos. Meas. Tech., 12, 4697–4712, <a href="https://doi.org/10.5194/amt-12-4697-2019" target="_blank">https://doi.org/10.5194/amt-12-4697-2019</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
      
Beresnev, S. A., Vasiljeva, M. S., and Kochneva, L. B.: Motion of
fractal-like aggregates: particle settling velocity and thermophoresis,
Atmospheric and Oceanic Optics, 32, 528–533, <a href="https://doi.org/10.1134/s102485601905004x" target="_blank">https://doi.org/10.1134/s102485601905004x</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
      
Bredl, J. and Grieve, T. W.: A thermal precipitator for the gravimetric
estimation of solid particles in flue gases, J. Sci. Instrum., 28, 21–23, 1951.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
      
Dixkens, J. and Fissan, H.: Development of an electrostatic precipitator
for off-line particle analysis, Aerosol Sci. Tech., 30, 438–453, 1999.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
      
Etzion, Y. and Broday, D. M.: Highly resolved spatiotemporal variability of
fine particle number concentrations in an urban neighborhood, J. Aerosol Sci., 117, 118–126, <a href="https://doi.org/10.1016/j.jaerosci.2018.01.004" target="_blank">https://doi.org/10.1016/j.jaerosci.2018.01.004</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
      
Faxvog, F. R. and Roessler, D. M.: Mass concentration of diesel particle
emissions from photoacoustic and opacity measurements, Aerosol Sci. Tech., 1, 225–234, <a href="https://doi.org/10.1080/02786828208958590" target="_blank">https://doi.org/10.1080/02786828208958590</a>, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
      
Fierz, M., Houle, C., Steigmeier, P., and Burtscher, H.: Design,
calibration, and field performance of a miniature diffusion size classifier,
Aerosol Sci. Tech., 45, 1–10, <a href="https://doi.org/10.1080/02786826.2010.516283" target="_blank">https://doi.org/10.1080/02786826.2010.516283</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
      
Giechaskiel, B., Wang, X., Horn, H. G., Spielvogel, J., Gerhart, C.,
Southgate, J., Jing, L., Kasper, M., Drossinos, Y., and Krasenbrink, A.:
Calibration of condensation particle counters for legislated vehicle number
emission measurements, Aerosol Sci. Tech., 43, 1164–1173,
<a href="https://doi.org/10.1080/02786820903242029" target="_blank">https://doi.org/10.1080/02786820903242029</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
      
Held, A., Orsini, D. A., Vaattovaara, P., Tjernström, M., and Leck, C.: Near-surface profiles of aerosol number concentration and temperature over the Arctic Ocean, Atmos. Meas. Tech., 4, 1603–1616, <a href="https://doi.org/10.5194/amt-4-1603-2011" target="_blank">https://doi.org/10.5194/amt-4-1603-2011</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
      
Hillemann, L., Zschoppe, A., Caldow, R., Sem, G. J., and Wiedensohler, A.:
An ultrafine particle monitor for size-resolved number concentration
measurements in atmospheric aerosols, J. Aerosol Sci., 68, 14–24,
<a href="https://doi.org/10.1016/j.jaerosci.2013.10.007" target="_blank">https://doi.org/10.1016/j.jaerosci.2013.10.007</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
      
Intra, P. and Tippayawong, N.: Development and evaluation of a Faraday Cup
Electrometer for measuring and sampling atmospheric ions and charged
aerosols, Particul. Sci. Technol., 33, 257–263,
<a href="https://doi.org/10.1080/02726351.2014.952392" target="_blank">https://doi.org/10.1080/02726351.2014.952392</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
      
Keskinen, J., Pietarinen, K., and Lehtimaki, M.: Electrical Low-Pressure
Impactor, J. Aerosol Sci., 23, 353–360, 1992.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
      
Kethley, T. W., Gordon, M. T., and Orr, C.: A thermal precipitator for
aerobacteriology, Science, 116, 368–369, 1952.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
      
Kheirkhah, P., Baldelli, A., Kirchen, P., and Rogak, S.: Development and
validation of a multi-angle light scattering method for fast engine soot
mass and size measurements, Aerosol Sci. Tech., 54, 1083–1101, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
      
Liu, B. Y. H. and Pui, D. Y. H.: On the performance of the electrical
aerosol analyzer, J. Aerosol Sci., 6, 249–264, 1975.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
      
Liu, Q., Liu, D., Chen, X., Zhang, Q., Jiang, J., and Chen, D.-R.: A
cost-effective, miniature electrical ultrafine particle sizer (mini-eUPS)
for ultrafine particle (UFP) monitoring network, Aerosol Air Qual. Res., 20, 231–241, <a href="https://doi.org/10.4209/aaqr.2018.11.0427" target="_blank">https://doi.org/10.4209/aaqr.2018.11.0427</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
      
Mølgaard, B., Birmili, W., Clifford, S., Massling, A., Eleftheriadis, K.,
Norman, M., Vratolis, S., Wehner, B., Corander, J., Hämeri, K., and Hussein,
T.: Evaluation of a statistical forecast model for size-fractionated urban
particle number concentrations using data from five European cities, J. Aerosol Sci., 66, 96–110, <a href="https://doi.org/10.1016/j.jaerosci.2013.08.012" target="_blank">https://doi.org/10.1016/j.jaerosci.2013.08.012</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
      
Seol, K. S., Tsutatani, Y., Camata, R. P., Yabumoto, J., Isomura, S., Okada,
Y., Okuyama, K., and Takeuchi, K.: A differential mobility analyzer and a
Faraday Cup Electrometer for operation at 200–930&thinsp;Pa pressure, J. Aerosol Sci., 31, 1389–1395, 2000.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
      
Talbot, L., Cheng, R. K., Schefer, R. W., and Willis, D. R.: Thermophoresis
of particles in a heated boundary-layer, J. Fluid Mech., 101, 737–758, 1980.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
      
Tammet, H., Mirme, A., and Tamm, E.: Electrical aerosol spectrometer of
Tartu University, Atmos. Res., 62, 315–324, 2002.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
      
Tsai, C.-J. and Lu, H.-C.: Design and evaluation of a plate-to-plate
thermophoretic precipitator, Aerosol Sci. Tech., 22, 172–180,
<a href="https://doi.org/10.1080/02786829408959738" target="_blank">https://doi.org/10.1080/02786829408959738</a>, 1995.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
      
Wang, B., Ou, Q., Tao, S., and Chen, D.-R.: Performance study of a
disk-to-disk thermal precipitator, J. Aerosol Sci., 52, 45–56,
<a href="https://doi.org/10.1016/j.jaerosci.2012.04.004" target="_blank">https://doi.org/10.1016/j.jaerosci.2012.04.004</a>, 2012a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
      
Wang, B., Tao, S., and Chen, D.-R.: A cylindrical thermal precipitator with
a particle size-selective inlet, Aerosol Sci. Tech., 46, 1227–1238, <a href="https://doi.org/10.1080/02786826.2012.704097" target="_blank">https://doi.org/10.1080/02786826.2012.704097</a>, 2012b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
      
Wang, X., Grose, M. A., Avenido, A., Stolzenburg, M. R., Caldow, R.,
Osmondson, B. L., Chow, J. C., and Watson, J. G.: Improvement of Engine
Exhaust Particle Sizer (EEPS) size distribution measurement – I. Algorithm
and applications to compact-shape particles, J. Aerosol Sci., 92,
95–108, <a href="https://doi.org/10.1016/j.jaerosci.2015.11.002" target="_blank">https://doi.org/10.1016/j.jaerosci.2015.11.002</a>, 2016a.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
      
Wang, X., Grose, M. A., Caldow, R., Osmondson, B. L., Swanson, J. J., Chow,
J. C., Watson, J. G., Kittelson, D. B., Li, Y., Xue, J., Jung, H., and Hu,
S.: Improvement of Engine Exhaust Particle Sizer (EEPS) size distribution
measurement – II. Engine exhaust particles, J. Aerosol Sci., 92,
83–94, <a href="https://doi.org/10.1016/j.jaerosci.2015.11.003" target="_blank">https://doi.org/10.1016/j.jaerosci.2015.11.003</a>, 2016b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
      
Yang, Y., Yu, T., Zhang, J., Wang, W., Gui, H., Du, P., and Liu, J.: Design
and evaluation of an Aerosol Electrometer with low noise and a wide dynamic
range, Sensors-Basel, 18, 1614, <a href="https://doi.org/10.3390/s18051614" target="_blank">https://doi.org/10.3390/s18051614</a>, 2018a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
      
Yang, Y., Yu, T., Zhang, J., Wang, J., Wang, W., Gui, H., and Liu, J.: On
the performance of an Aerosol Electrometer with enhanced detection limit,
Sensors-Basel, 18, 3889, <a href="https://doi.org/10.3390/s18113889" target="_blank">https://doi.org/10.3390/s18113889</a>, 2018b.

    </mixed-citation></ref-html>--></article>
