<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/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-18-5717-2025</article-id><title-group><article-title>Design and performance of the Cluster Ion Counter (CIC)</article-title><alt-title>Design and performance of the CIC</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Mirme</surname><given-names>Sander</given-names></name>
          <email>sander.mirme@ut.ee</email>
        <ext-link>https://orcid.org/0000-0002-3720-8249</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Balbaaki</surname><given-names>Rima</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4480-2107</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff3">
          <name><surname>Manninen</surname><given-names>Hanna Elina</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Koemets</surname><given-names>Paap</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6201-1264</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff5">
          <name><surname>Sommer</surname><given-names>Eva</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Rörup</surname><given-names>Birte</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Wu</surname><given-names>Yusheng</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff6">
          <name><surname>Almeida</surname><given-names>Joao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Ehrhart</surname><given-names>Sebastian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6517-5341</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Weber</surname><given-names>Stefan Karl</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7408-9069</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Pfeifer</surname><given-names>Joschka</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9172-4447</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Kangasluoma</surname><given-names>Juha</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1639-1187</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Kulmala</surname><given-names>Markku</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3464-7825</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Kirkby</surname><given-names>Jasper</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2341-9069</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Physics, University of Tartu, W. Ostwaldi 1, 50411 Tartu, Estonia</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Airel OÜ, Observatooriumi 5, 61602 Tõravere, Estonia</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute for Atmospheric and Earth System Research (INAR), University of Helsinki, 00014 Helsinki, Finland</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>CERN, European Organization for Nuclear Research, 1211 Geneva 23, Switzerland</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Faculty of Physics, University of Vienna, 1090 Vienna, Austria</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Faculty of Sciences of the University of Lisbon, 1749-016 Lisbon, Portugal</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Max Planck Institute for Chemistry, Hahn-Meitner-Weg 1, 55128 Mainz, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Sander Mirme (sander.mirme@ut.ee)</corresp></author-notes><pub-date><day>22</day><month>October</month><year>2025</year></pub-date>
      
      <volume>18</volume>
      <issue>20</issue>
      <fpage>5717</fpage><lpage>5728</lpage>
      <history>
        <date date-type="received"><day>9</day><month>August</month><year>2024</year></date>
           <date date-type="rev-request"><day>25</day><month>October</month><year>2024</year></date>
           <date date-type="rev-recd"><day>12</day><month>May</month><year>2025</year></date>
           <date date-type="accepted"><day>23</day><month>May</month><year>2025</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2025 Sander Mirme et al.</copyright-statement>
        <copyright-year>2025</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/amt-18-5717-2025.html">This article is available from https://amt.copernicus.org/articles/amt-18-5717-2025.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/amt-18-5717-2025.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/amt-18-5717-2025.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e241">A dilute plasma is continuously maintained in the troposphere by ionizing particle radiation from galactic cosmic rays and radon decay. Small ions in the 1–2 nm size range play an important role in atmospheric processes such as ion-induced nucleation of aerosol particles. Consequently, there is a need for precise and robust instruments to measure small ions both for atmospheric observations and for laboratory experiments that simulate the atmosphere. Here, we describe the design and performance of the Cluster Ion Counter (CIC, Airel OÜ), which measures the number concentrations of positively and negatively charged ions and particles below 5 nm mobility diameter simultaneously, with low noise and fast time response. The CIC is primarily designed as a robust, low-maintenance instrument  prioritizing ease of operation and broad applicability, including  laboratory experiments; long-term unattended field measurements; and mobile, airborne, and battery-powered setups. The main application of the device is to study the temporal development of total cluster ion concentrations while also providing some information about the ion mobility distribution. The detection efficiency is above 80 % for ions and charged particles between 1.2 and 2.0 nm and above 90 % between 2.0 and 3.0 nm. The ion concentrations measured by the CIC agree well with reference instruments. The noise level (1 <inline-formula><mml:math id="M1" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> of background measurements) is typically between 20 and 30 ions cm<sup>−3</sup> at 1 Hz sampling rate and an airflow rate of 7 L min<sup>−1</sup> per analyzer. The noise level improves when higher flow rates and longer sampling periods are used. The CIC responds rapidly, with 1 s time resolution, to pulses of ionization produced in the CLOUD chamber by a CERN particle beam.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Eesti Teadusagentuur</funding-source>
<award-id>PRG714</award-id>
<award-id>RVTT3</award-id>
</award-group>
<award-group id="gs2">
<funding-source>European Commission</funding-source>
<award-id>EMME-CARE - Eastern Mediterranean and Middle East – Climate and Atmosphere Research Centre (856612)</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="d2e284">Atmospheric ions are ubiquitous throughout the atmosphere, with ion pair concentrations in the troposphere ranging between a few 100 cm<sup>−3</sup> at ground level <xref ref-type="bibr" rid="bib1.bibx12" id="paren.1"/> up to around 2000 cm<sup>−3</sup> in the tropopause. In the troposphere, primary ions of nitrogen and oxygen are generated by galactic cosmic rays and ionizing radiation from the decay of radon or other radioactive isotopes. The charge is rapidly transferred by molecular collisions to trace vapors of higher gas-phase acidity or proton affinity to form so-called “small ions”, which comprise both charged molecules and charged molecular clusters. The ion–ion recombination lifetime of small ions in the troposphere is around 10 min, but the actual lifetime may be shorter due to additional loss mechanisms such as scavenging by pre-existing particles, i.e., diffusion charging of aerosol particles.  An early classification of air ions <xref ref-type="bibr" rid="bib1.bibx14" id="paren.2"/> defined small ions (called cluster ions here) as those with mobility diameters below 1.6 nm, intermediate ions as those with mobility diameters between 1.6 and 7.5 nm, and large ions as those with mobility diameters between 7.5 and 20 nm. However, contemporary studies would classify air ions above the size of small ions as charged aerosol particles since they contain more than around 10 molecules and are effectively stable particles.</p>
      <p id="d2e317">Despite their short lifetime, small ions play a key role in atmospheric electricity, clouds, and climate. The drift of small ions in the electric field between the ionosphere and Earth's surface gives rise to a continuous fair-weather current density of 2 pA m<sup>−2</sup> flowing through the global electrical circuit <xref ref-type="bibr" rid="bib1.bibx30" id="paren.3"/>. Under certain conditions, ions can enhance 10- to 100-fold the nucleation rate of aerosol particles, which may then grow by condensation of ambient low-volatility vapors to sizes where they become cloud condensation nuclei <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx17 bib1.bibx18" id="paren.4"/>. Ions and charged aerosol particles may also directly affect cloud microphysical processes and, in turn, climate <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx10 bib1.bibx33 bib1.bibx9" id="paren.5"/>.</p>
      <p id="d2e341">Early indications that free ions existed in air were inferred from the decay of charge from gold-leaf electroscopes. By these means – and only 3 years after Joseph John Thomson discovered the electron – Charles T. R. Wilson calculated that 20 ion pairs cm<sup>−3</sup> s<sup>−1</sup> were being continuously produced in the air <xref ref-type="bibr" rid="bib1.bibx35" id="paren.6"/>. This remarkable precision is within a factor of 2 of the total ionization rate near the surface as a result of galactic cosmic rays and natural radioactivity, which were unknown at the time. The original electronic instrument to measure air ion concentrations (air conductivity) was an aspiration counter developed in the early 1900s by <xref ref-type="bibr" rid="bib1.bibx3" id="text.7"/> and <xref ref-type="bibr" rid="bib1.bibx6" id="text.8"/>. The same era witnessed various designs of aspiration counters, first-order differential counters, second-order differential counters, and counters with several collecting electrodes. A detailed description of these counters and the history of their development can be found in <xref ref-type="bibr" rid="bib1.bibx31" id="text.9"/> and <xref ref-type="bibr" rid="bib1.bibx5" id="text.10"/>.</p>
      <p id="d2e384">The principle of operation of the aspiration counter is illustrated by the aspirated coaxial cylinder condenser <xref ref-type="bibr" rid="bib1.bibx5" id="paren.11"/>. As the name suggests, this instrument consists of two concentric cylindrical electrodes, a device to draw in air (an aspirator, a fan, or a pump) and an electrometer. One of the electrodes is connected to a voltage source to create an electric field between the inner and outer electrodes. As air is drawn through the device, the ions drift towards the collecting electrode of opposite polarity and strike it. The ion number concentration is determined from the flow rate and the current passing from the collecting electrode to ground, which is measured with a sensitive electrometer. The geometric design of the device, the operational voltage, and the flow rate determine the range of electrical mobilities of the air ions that are collected and, thus, their size range.</p>
      <p id="d2e391">Subsequent designs of aspiration counters have developed automatic data recorders, programmable control systems, improved flow control, better electrometer signal-to-noise ratios, and higher time resolutions <xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx1 bib1.bibx8 bib1.bibx11 bib1.bibx28 bib1.bibx20" id="paren.12"/>.</p>
      <p id="d2e397">While recent air ion counters have progressed considerably beyond early designs, several limitations persist. One notable limitation of many devices is their inability to detect positive and negative ions simultaneously. Although some instruments are capable of detecting both ion polarities, these measurements are typically sequential rather than concurrent. Furthermore, there is a general lack of proper laboratory verification of the instrument's detection efficiency and the mobility ranges of the collected ions. Another challenge is the high fixed flow rate of most devices, which is a problem for laboratory experiments with restrictions on maximum flow rates. Furthermore, the simple cylindrical design of many current devices makes integration into experimental setups difficult and limits their compatibility with space constraints of typical measurement containers. Moreover,  long-term air ion monitoring and atmospheric research require high-precision instruments with low noise and fast time responses, and this performance is not provided by the basic handheld devices that predominate in the commercial market.</p>
      <p id="d2e400">Here, we describe the design and performance of a novel air ion counter – the Cluster Ion Counter (CIC, Airel OÜ) – that addresses the limitations outlined above. Its design builds on the earlier ion counters developed at Tartu University since the 1950s <xref ref-type="bibr" rid="bib1.bibx22" id="paren.13"/>. The key design requirements are improved time resolution, reduced ion losses, and higher sensitivity at low flow rates.</p>
      <p id="d2e406">CICs have already been deployed for continuous long-term monitoring at several atmospheric research stations, including SMEAR II (Hyytiälä, Finland), SMEAR Estonia (Järviselja), the Ny-Ålesund Research Station (Svalbard), and Concordia Station (Dome C, Antarctica). Among the initial publications from these deployments, <xref ref-type="bibr" rid="bib1.bibx21" id="text.14"/> reported on CIC measurements at SMEAR II covering 2 and a half months.</p>
      <p id="d2e412">We will first present the theoretical principles and design of the CIC. We will then describe the calibration of the CIC in the laboratory and its performance at the CERN CLOUD chamber, where it has been in operation since 2018.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Instrument design</title>
      <p id="d2e430">The CIC measures the number concentrations of positive and negative air ions simultaneously. It comprises two independent cylindrical differential mobility analyzers, each with three collecting electrodes (Figs. <xref ref-type="fig" rid="F1"/> and <xref ref-type="fig" rid="F2"/>). The ions in the air entering the analyzers are repelled by a central electrode, which is held at a fixed potential between <inline-formula><mml:math id="M9" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>40 and 40 V. A switchable high-voltage electrical inlet filter is used to prevent ions from entering the analyzer during zero-point measurements. Charged particles deposit on the outer wall of the analyzer, which is divided into three independent collecting electrodes. The current flowing through each electrode is measured with a high-precision integrating electrometer that samples and digitizes the current at up to 30 Hz. The inlet of the analyzer has been designed to minimize ion losses from diffusion and stray electric fields. A flow meter and blower at the exit of each analyzer control the flow rate of the air drawn through the instrument.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e446">Cross-section and schematic of the Cluster Ion Counter (CIC). The CIC has two identical analyzers to measure positive ions and negative ions simultaneously. Each analyzer has three collecting electrodes which measure different ranges of mobility diameters. Red shading indicates positive polarity, and blue indicates negative polarity. The typical central electrode voltages at 30 L min<sup>−1</sup> sample flow are <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">19.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">V</mml:mi></mml:mrow></mml:math></inline-formula>. The inlet filters are switched to <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">300</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">V</mml:mi></mml:mrow></mml:math></inline-formula> during zero measurements.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/18/5717/2025/amt-18-5717-2025-f01.png"/>

        </fig>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e505">Photos of the CIC. The front view <bold>(a)</bold> of the CIC showing the two inlets with 35 mm outer diameter and the back view <bold>(b)</bold> showing the outlets, power, and communication connections. All the components shown in the Fig. <xref ref-type="fig" rid="F1"/> schematic are located inside this housing. The dimensions of the CIC are 200 mm width, 130 mm height, and 400 mm length.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/18/5717/2025/amt-18-5717-2025-f02.jpg"/>

        </fig>

      <p id="d2e523">The geometry of the analyzer has been chosen so that, for 10 L min<sup>−1</sup> flow rate and 6.5 V voltage on the central electrode, the limiting mobilities of the three collecting sections are 2.5, 0.5, and 0.25 cm<sup>2</sup> V<sup>−1</sup> s<sup>−1</sup>. As can be seen from numerical modeling results performed using COMSOL Multiphysics<sup>®</sup> (Fig. <xref ref-type="fig" rid="F3"/>), ideally, all ions with a mobility  of <inline-formula><mml:math id="M19" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M20" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 2.5 cm<sup>2</sup> V<sup>−1</sup> s<sup>−1</sup> (<inline-formula><mml:math id="M24" 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> <inline-formula><mml:math id="M25" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.9 nm) are deposited onto the first electrode, those with a mobility of <inline-formula><mml:math id="M26" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M27" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.5 cm<sup>2</sup> V<sup>−1</sup> s<sup>−1</sup> (<inline-formula><mml:math id="M31" 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> <inline-formula><mml:math id="M32" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 2.0 nm) are deposited onto the first and second electrodes, and those with a mobility of <inline-formula><mml:math id="M33" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M34" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.25 cm<sup>2</sup> V<sup>−1</sup> s<sup>−1</sup> (<inline-formula><mml:math id="M38" 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> <inline-formula><mml:math id="M39" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 2.8 <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) are deposited onto the first, second, and third electrodes.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e785">Simulated flow patterns for singly charged ions and particles. Normalized concentration of singly charged positive ions and particles of various diameters inside the CIC according to numerical model simulations performed using COMSOL Multiphysic<sup>®</sup>. The airflow rate is 10 L min<sup>−1</sup>, the central electrode is at 6.5 V, and the inlet filter is at 0 V.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/18/5717/2025/amt-18-5717-2025-f03.png"/>

        </fig>

      <p id="d2e809">Figure <xref ref-type="fig" rid="F4"/> shows the theoretical transfer functions for the CIC analyzer based on a simple general model of a first-order differential mobility analyzer. This does not take into account diffusional and electrical losses, diffusional dispersion, and airflow characteristics caused by specific inlet configurations or mechanical imperfections.  The data analysis uses experimentally determined transfer functions, which are broader and flatter than those predicted by the simple theoretical model. The electrodes do not have a sharp lower cut-off limiting mobility. Due to the absence of a sheath airflow, electrodes will always detect a small fraction of larger particles with low mobility that enter the analyzer close to the collecting electrode. The limiting mobilities are primarily determined by the geometry of the analyzer and the ratio between airflow rate and central electrode voltage. The airflow rate through the CIC can be set by software to values between 5 and 50 L min<sup>−1</sup> per analyzer. The central electrode voltages are automatically adjusted so that the ratio (and, consequently, the limiting mobilities of the collecting electrodes) remains constant. The first two channels of the CIC are designed to capture overlapping portions of the complete typical atmospheric cluster ion mobility band. This allows for a rough estimate of the average cluster ion mobility based on the balance of the signal between the two channels. The third channel is designed to capture only larger ions beyond the cluster band, i.e., above 2 <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> mobility diameter. This allows the CIC to measure the cluster ion concentrations with a sharp cut-off mobility range between 0.5 and 0.25 cm<sup>2</sup> V<sup>−1</sup> s<sup>−1</sup> by estimating the signal contributed by larger particles using the signal from the third electrode and subtracting this from the summed signal of the first two electrodes.</p>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e870">Theoretical detection efficiencies of the three collecting electrodes versus diameter and electrical mobility. Theoretical transfer functions of the three collecting electrodes, without considering ion diffusion losses, versus <bold>(a)</bold> electrical mobility and <bold>(b)</bold> mobility diameter. The detection efficiency indicates the ion flux reaching the collecting electrodes relative to the flux that enters the CIC. The electrical mobilities of peak collection efficiency in the three sections are 2.5, 0.5, and 0.25 cm<sup>2</sup> V<sup>−1</sup> s<sup>−1</sup>, which correspond to mobility equivalent diameters of 0.90, 2.01, and 2.85 nm. The summed response of the three collecting electrodes (red line) is calculated to provide a high and uniform detection efficiency for mobility diameters between 0.8 and 2.8 nm. The ratio of the central electrode voltage to airflow rate in a single analyzer is 6.5 V <inline-formula><mml:math id="M50" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 10 L min<sup>−1</sup> <inline-formula><mml:math id="M52" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.65 V min L<sup>−1</sup>.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/18/5717/2025/amt-18-5717-2025-f04.png"/>

        </fig>

      <p id="d2e957">The measurement of small currents (typically 1–10 fA) generated by air ions is demanding and causes many problems related to changes in temperature, relative humidity, turbulence, and electromagnetic noise in ambient conditions. The design of the electrometers and the data acquisition electronics, as well as the signal processing algorithms, of the CIC are identical to those of the Neutral cluster and Air Ion Spectrometer (NAIS; <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx24" id="altparen.15"/>). The design has proven its performance, robustness, and reliability in many instruments operating in a wide range of demanding environmental conditions, some continuously for over 2 decades.</p>
      <p id="d2e964">Each collecting electrode of the CIC is connected to its own dedicated, low-noise, integrating electrometer. The electric current produced by the depositing ions is accumulated on a capacitor (typically 33 pF) in an integrator circuit using a low-input-current operational amplifier (LMC6042). The output voltage of the electrometer, which is proportional to the accumulated charge, is periodically measured by a 24-bit analog-to-digital converter. The average electric current is calculated from the rate of change of the voltage. Since ion current collection is continuous and independent of the analog-to-digital converter's sampling frequency, the integration time can be optimized based on the desired signal-to-noise ratio and time resolution. To prevent saturation, the capacitor is automatically discharged and reset to zero volts when the electrometer output voltage reaches a threshold, typically <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> V. This reset causes a brief 5 to 10 s gap in the measurements, occurring usually once every hour to once every day. The low ion losses and high measurement rate of the electrometers allow the instrument to achieve a very fast time resolution, above 1 Hz.</p>
      <p id="d2e977">The CIC employs a switchable high-voltage electrical inlet filter to block ions from entering the analyzer during calibrations of zero-level currents and noise levels of the electrometers. While the data acquisition electronics are designed for minimal temperature sensitivity, some thermal drift is unavoidable and needs to be corrected. An additional and significant factor influencing the zero-level currents, especially during long-term measurements, is the gradual contamination of the collecting electrodes and insulators. This contamination can lead to leakage currents, which can be exacerbated by high relative humidity. Performing frequent zero measurements compensates for these combined drift and leakage currents. This ensures the reliability of the measurements, extends the intervals between necessary physical maintenance (cleaning of the analyzer), and provides a clear diagnostic indicator when such maintenance is required. This periodic zero-level calibration, or so-called “offset” measurement, is carried out automatically by the device. The user-selectable settings are typically 1–5 min of signal measurements followed by 20–30 s of offset measurements.</p>
      <p id="d2e980">The inlet filter is a brass sphere of 15 mm diameter, supported by two small, diametrically placed spokes and set to a voltage of around <inline-formula><mml:math id="M55" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>300 or <inline-formula><mml:math id="M56" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>300 V for the positive or negative channel, respectively. Although the spokes and the sphere itself inevitably result in flow separation and circulation behind the sphere, the computational fluid dynamics (CFD) model suggests that the effect is localized and does not extend downstream into the mobility analysis region, where the flow remains laminar. Alternative inlet filter designs, such as a mesh with an applied voltage, were evaluated, but the spherical inlet filter was selected because it demonstrated the lowest particle losses.</p>
      <p id="d2e997">The CIC uses internal Venturi flow meters and blowers independently for both analyzers in a software-controlled feedback loop to maintain constant sample airflow rates. Temperature, relative humidity, and absolute air pressure are also monitored for both airflows. The central electrode voltages are supplied by a bipolar software-controlled voltage source, which allows each analyzer to operate at a freely chosen voltage and polarity. To confirm correct operation of the device, all relevant parameters from the different subsystems are monitored and logged alongside the measurement data. A graphical measurement software (Spectops) is provided for monitoring, controlling, and storing measurement and diagnostic data from the CIC. A quick-view program (Retrospect) can be used to review the stored data files.</p>
      <p id="d2e1000">Compared with earlier instruments developed at the University of Tartu, such as the NAIS or the Balanced Scanning Mobility Analyzer (BSMA; <xref ref-type="bibr" rid="bib1.bibx32" id="altparen.16"/>), the CIC features a simpler design. While it does not match the sensitivity of the BSMA or provide the detailed sizing information of the NAIS, the CIC offers several advantages over these more complex instruments. Notably, the CIC can operate at low sample flow rates that are unachievable by the BSMA. Compared with the NAIS, the CIC has a higher detection efficiency and a shorter inlet tract, allowing for more reliable measurement of small ions at a higher time resolution and with a lower mobility diameter cut-off.</p>
      <p id="d2e1006">The external dimensions of the CIC are 200 mm width, 130 mm height, and 400 mm length. The weight of the instrument is 5 kg. The power consumption is 4–5 W at 30 L min<sup>−1</sup> sample flow rate per analyzer.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Parameters measured by the CIC</title>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Number concentration of small ions</title>
      <p id="d2e1037">Ion number concentrations are calculated from the current on each of the three collecting electrodes, which is proportional to the ion deposition rate. The current <inline-formula><mml:math id="M58" display="inline"><mml:mi>I</mml:mi></mml:math></inline-formula> (A) measured by each electrode is related to the sampled ion concentration <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>±</mml:mo></mml:mrow></mml:math></inline-formula> (ions cm<sup>−3</sup>) as follows:

              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M61" display="block"><mml:mrow><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mo>±</mml:mo></mml:msub><mml:mi>n</mml:mi><mml:mi>e</mml:mi><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M62" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> is the average number of elementary charge units per ion (assumed to be unity), <inline-formula><mml:math id="M63" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M64" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> C is the elementary unit of charge, and <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (cm<sup>3</sup> s<sup>−1</sup>) is the volumetric sample flow rate passing the electrode. The summed signal from the three electrodes in each analyzer, together with Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>), provides the total concentration of positive and negative ions below 5 nm diameter.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Mobility diameter of small ions</title>
      <p id="d2e1178">Electrical mobilities of ions and charged particles can be converted into particle diameters through the Millikan–Fuchs relation:

              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M69" display="block"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>n</mml:mi><mml:mi>e</mml:mi><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mi mathvariant="italic">π</mml:mi><mml:mi mathvariant="italic">η</mml:mi><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            as described in <xref ref-type="bibr" rid="bib1.bibx26" id="text.17"/> and also <xref ref-type="bibr" rid="bib1.bibx19" id="text.18"/>, where <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the electrical mobility, <inline-formula><mml:math id="M71" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> is the number of elementary charges, <inline-formula><mml:math id="M72" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula> is the elementary charge, <inline-formula><mml:math id="M73" 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 slip correction factor, <inline-formula><mml:math id="M74" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> is the dynamic viscosity of gas, and <inline-formula><mml:math id="M75" 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 particle diameter. At these small sizes, all particles can be assumed to be singly charged.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>Air conductivity</title>
      <p id="d2e1289">The conductivity of air is mostly due to ions with the highest electrical mobility, i.e., small ions. However, larger charged particles also contribute. According to a long-term study in <xref ref-type="bibr" rid="bib1.bibx13" id="text.19"/>, small ions were responsible for 96.3 % of the total conductivity of air. Thus, the small-ion concentrations <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mo>+</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mo>-</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> measured by the CIC can provide a measurement of the polar conductivities of air <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>+</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>-</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> by means of the following equations:

              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M80" display="block"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mo>+</mml:mo></mml:msub><mml:mo>≈</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">0.96</mml:mn><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>+</mml:mo></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mo>+</mml:mo></mml:msub><mml:mi>e</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext>and</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msub><mml:mi>N</mml:mi><mml:mo>-</mml:mo></mml:msub><mml:mo>≈</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">0.96</mml:mn><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>-</mml:mo></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mo>-</mml:mo></mml:msub><mml:mi>e</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mo>±</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> is the mean electric mobility measured by the CIC, and <inline-formula><mml:math id="M82" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula> is the elementary charge <xref ref-type="bibr" rid="bib1.bibx12" id="paren.20"/>.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Experimental methods used to evaluate the performance of the CIC</title>
      <p id="d2e1437">Experimental evaluations of the CIC have been carried out in several aerosol laboratories: at the Institute for Atmospheric and Earth System Research (INAR), University of Helsinki; at the CERN CLOUD chamber, Switzerland; at the Laboratory of Atmospheric and Environmental Sciences, University of Tartu; and at Airel OÜ, Tartu.</p>
      <p id="d2e1440">At INAR, the University of Tartu, and Airel, the calibration aerosol was generated and size-selected in fixed, ultra-dry conditions. Maintaining a dry environment during calibration experiments is crucial for stable aerosol generation. At CERN, the calibration aerosols were nucleated and grown from various atmospherically relevant vapors in the CLOUD chamber <xref ref-type="bibr" rid="bib1.bibx18" id="paren.21"/>, the contents of which were continuously sampled by a suite of instruments that included the Airel CIC and the Neutral cluster and Air Ion Spectrometer. The calibrations at INAR supported ion cluster experiments performed at  CLOUD. Thus, in both locations, the sampling line was the same as that used at CLOUD, which included a Y splitter for connection to the CLOUD sampling probe. On the other hand, at the University of Tartu and at Airel, the CIC was calibrated without a CLOUD-specific inlet, thereby providing measurements that are more applicable to general operation.</p>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Calibration of ion number concentrations and mobility diameters</title>
      <p id="d2e1453">At the University of Tartu and at Airel, ions were generated using a tungsten glowing-wire source operating at nitrogen flow rates from 1.5 to 4.0 L min<sup>−1</sup>. The sample was neutralized using a soft X-ray source, and particles were size-selected using a Vienna-type DMA <xref ref-type="bibr" rid="bib1.bibx34" id="paren.22"/> built at the University of Tartu. Two sets of experiments were conducted. The first set measured the experimental detection efficiency of the three channels of the CIC and was carried out at a fixed flow rate of 30 L min<sup>−1</sup>. The second set investigated the influence of varying the CIC flow rate on detection efficiency, with experiments performed at sampling flow rates ranging from 10 to 50 L min<sup>−1</sup>.</p>
      <p id="d2e1495">Calibration experiments at INAR measured the linearity of the CIC response to small ions between 0.9 and 2.5 nm. Small ions were also generated with a tungsten-wire aerosol generator operated at 17 L min<sup>−1</sup> nitrogen flow <xref ref-type="bibr" rid="bib1.bibx15" id="paren.23"/>. The generated particles were size-selected with a Herrmann-type high-resolution DMA (HDMA). Prior to the mobility selection, the sample was neutralized with an <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">241</mml:mn></mml:msup><mml:mi mathvariant="normal">Am</mml:mi></mml:mrow></mml:math></inline-formula> radioactive source.</p>
      <p id="d2e1525">The CIC was operated with a constant flow rate of 7.0 L min<sup>−1</sup> per analyzer. The reference for the number concentration was provided by a TSI Electrometer 3068B at 2.5 L min<sup>−1</sup> sample flow rate and <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> fA current accuracy (<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">150</mml:mn></mml:mrow></mml:math></inline-formula> ions cm<sup>−3</sup>). The measured concentrations were corrected for diffusional losses in the sampling lines <xref ref-type="bibr" rid="bib1.bibx7" id="paren.24"/>.</p>
      <p id="d2e1588">Due to the absence of parallel composition measurements, we cannot determine the exact chemical composition of the ions used in these experiments. However, based on the findings of <xref ref-type="bibr" rid="bib1.bibx15" id="text.25"/>, who chemically characterized the ions produced by a tungsten glowing-wire generator, the ions detected in the negative-polarity channel are likely to be <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">W</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> clusters associated with charge carriers from the neutralizer or some impurities from the neutralizer <xref ref-type="bibr" rid="bib1.bibx4" id="paren.26"/>. In the positive-polarity mode, the ions are more likely to be organic species or organic compounds clustered with tungsten oxide. It is important to note that the glowing-wire generator was not selected to probe the CIC's sensitivity to metal clusters or specific chemical species. Rather, it was chosen for its operational robustness and proven ability to generate nanoparticles over a broad size range and at high number concentrations <xref ref-type="bibr" rid="bib1.bibx29" id="paren.27"/>.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>Evaluation of instrument background and time response</title>
      <p id="d2e1624">Experiments at the CERN CLOUD chamber provided measurements of the CIC background and time response. The CIC background, i.e., finite electrometer signals when no ions are present in the sampled air, was measured during periods when a high voltage was applied to electrodes inside the CLOUD chamber, which sweeps out small ions in less than 1 s. The time response of the CIC was evaluated using the pion beam from the CERN Proton Synchrotron, which arrives in short pulses of 0.4 s duration separated by around 30 s.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Performance of the CIC</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Detection efficiency in sub-5 nm diameter range</title>
      <p id="d2e1645">We measured the detection efficiencies of the CIC for 1.2–5.0 nm positive and negative ions for each of the three collecting electrodes, as well as a sum of all three electrodes (Fig. <xref ref-type="fig" rid="F5"/>). The total ion detection efficiency exceeds 80 % between 1.2 and 2.0 nm mobility diameter and 90 % between 2.0 and 3.0 nm mobility diameter. The detection efficiency decreases above 3.0 nm, which provides a natural cut-off for the CIC outside the range of small ions. The close agreement between the experimental transfer functions and those derived from a simple theoretical model, which neglects the specific flow field inside the instrument, indicates that the effects of flow disturbance from the inlet filter sphere and other mechanical imperfections are not critical to the device's operation.</p>

      <fig id="F5"><label>Figure 5</label><caption><p id="d2e1652">Experimental detection efficiencies for the three collecting electrodes versus particle diameter and polarity. Experimental detection efficiencies for 1.2–5.0 nm <bold>(a)</bold> positive and <bold>(b)</bold> negative ions and charged particles for each of the three collecting electrodes and for the sum of all three electrodes. The lines correspond to the theoretical model predictions. The discrepancy at small diameters between the measurements and the model  is due to diffusion losses inside the instrument, which are ignored in the simulation.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/18/5717/2025/amt-18-5717-2025-f05.png"/>

        </fig>

      <p id="d2e1667">We also investigated the influence on ion detection efficiency of various CIC sample flow rates at 10, 30, and 50 L min<sup>−1</sup> (Fig. <xref ref-type="fig" rid="F6"/>). The  higher sample flow rates produce mild increases in the detection efficiency below 3.0 nm and slight decreases for larger particles. Since higher flow rates provide an improved signal-to-noise ratio, it is generally preferable to use the maximum sample flow rate within the constraints of the experimental setup. If the sampling inlet includes bends or a Y splitter then the choice of optimum flow rate also needs to take into account turbulence at high flow rates, which leads to additional losses.</p>

      <fig id="F6"><label>Figure 6</label><caption><p id="d2e1687">Experimental detection efficiencies versus flow rate. Counting efficiency versus CIC sample flow rate of one analyzer (half of the total sample flow rate) for charged particles of various mobility diameters measured in <bold>(a)</bold> channel 1, <bold>(b)</bold> channel 2, and <bold>(c)</bold> channel 3 and <bold>(d)</bold> summed channels 1–3. The ratio of the central electrode voltage to airflow rate in a single analyzer is kept at 0.65 V min L<sup>−1</sup> to maintain a constant transfer function for each channel. The CIC can operate with high detection efficiency down to 10 L min<sup>−1</sup> flow rate.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/18/5717/2025/amt-18-5717-2025-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Linearity of the CIC response</title>
      <p id="d2e1741">Figure <xref ref-type="fig" rid="F7"/> shows calibration measurements made with charged  tungsten particles and the HDMA setup in the sub-5 nm size range. We compared the ion concentrations measured by the CIC with those of a reference electrometer. The linearity was measured for 0.9, 1.5, and 2.3 nm positive ions and for  0.9, 2.1, and 2.9 nm negative ions. In all cases, the response was linear for ion concentrations between <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> cm<sup>−3</sup>. These laboratory calibrations included the same Y splitter on the inlet as used at the CLOUD experiment, which introduces additional losses. Therefore, the CIC efficiency cannot be directly inferred from these data. In addition to demonstrating excellent linearity, these measurements show that the CIC can be operated reliably in environments ranging from pristine to highly polluted, i.e., aerosol number concentrations of up to <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> cm<sup>−3</sup>.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e1806">Calibration of the CIC linearity. Concentrations of ions and charged particles measured by the CIC versus reference electrometer concentrations for negative particles of diameter <bold>(a)</bold> 1.0 nm, <bold>(b)</bold> 1.7 nm, and <bold>(c)</bold> 2.5 nm, and positive particles of diameter <bold>(d)</bold> 0.9 nm, <bold>(e)</bold> 1.5 nm, and <bold>(f)</bold> 2.3 nm. The four lines in each panel correspond to channel 1 (blue), channel 2 (orange), channel 3 (green), and summed channels 1–3 (red). The data show excellent linearity and low noise for the CIC. The efficiency of the CIC cannot be inferred from these measurements since they were performed with an additional inlet that reduced the overall detection efficiency.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/18/5717/2025/amt-18-5717-2025-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>CIC noise level</title>
      <p id="d2e1842">When the CIC measures in ion-free conditions, a small background ion concentration is always recorded due to unavoidable electronic noise in the electrometers. This sets a threshold ion concentration below which the CIC is unable to provide useful measurements. Figure <xref ref-type="fig" rid="F8"/> and Table <xref ref-type="table" rid="T1"/> summarize CIC measurements at CLOUD when the electric clearing field is present, i.e., when all ions are swept from the chamber in less than 1 s. The CIC sampled the chamber air with a flow rate of 7.0 L min<sup>−1</sup> per analyzer, with an uncertainty of <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> %. Under these conditions and for 1 s integration time, the median value of the instrument background for the ion concentration is below <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> cm<sup>−3</sup> (<inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> fA). The 25th and 75th percentiles are below <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> cm<sup>−3</sup> (<inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> fA). The 5th and 95th percentiles are between <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> cm<sup>−3</sup> (<inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M114" display="inline"><mml:mi mathvariant="normal">…</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula> fA). The standard deviation ranges from 18 to 35 cm<sup>−3</sup> (0.35 to 0.65 fA), with a median at 26 cm<sup>−3</sup> (0.48 fA). Lower noise levels can be reached by averaging signals over times longer than 1 s or by using higher sample flow rates. This instrument background is excellent and substantially smaller than most previous air ion spectrometers or electrometers that are commonly used as reference instruments.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e2023">Background measurements. CIC background measurements with varying trace gas, temperature, and relative humidity conditions in the CLOUD chamber when the high-voltage clearing field was active and no charged particles were present inside the chamber. The box-and-whisker plots indicate the 25th–75th percentile range (boxes), 5th–95th percentile range (whiskers), and median values (lines in the middle of boxes) of CIC 1 s average samples. The CIC measured at a 7 L min<sup>−1</sup> sample flow rate per analyzer. The corresponding chamber conditions for each measurement are shown in Table <xref ref-type="table" rid="T1"/>.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/18/5717/2025/amt-18-5717-2025-f08.png"/>

        </fig>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e2049">Trace gas, temperature, and relative humidity conditions corresponding to the CIC background measurements shown in Fig. <xref ref-type="fig" rid="F8"/>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:colspec colnum="8" colname="col8" align="left"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Measurement</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M119" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">RH</oasis:entry>
         <oasis:entry colname="col4">SO<sub>2</sub></oasis:entry>
         <oasis:entry colname="col5">O<sub>3</sub></oasis:entry>
         <oasis:entry colname="col6">NO</oasis:entry>
         <oasis:entry colname="col7">NO<sub>2</sub></oasis:entry>
         <oasis:entry colname="col8">Other Gases</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M123" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">[°C]</oasis:entry>
         <oasis:entry colname="col3">[%]</oasis:entry>
         <oasis:entry colname="col4">[ppb]</oasis:entry>
         <oasis:entry colname="col5">[ppb]</oasis:entry>
         <oasis:entry colname="col6">[ppb]</oasis:entry>
         <oasis:entry colname="col7">[ppb]</oasis:entry>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9">[cm<sup>−3</sup>]</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">A</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M125" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30</oasis:entry>
         <oasis:entry colname="col3">57</oasis:entry>
         <oasis:entry colname="col4">0.2</oasis:entry>
         <oasis:entry colname="col5">3.9</oasis:entry>
         <oasis:entry colname="col6">0.0</oasis:entry>
         <oasis:entry colname="col7">0.1</oasis:entry>
         <oasis:entry colname="col8">Isoprene <inline-formula><mml:math id="M126" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.13 [ppb]</oasis:entry>
         <oasis:entry colname="col9">55.0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">B</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M127" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>49</oasis:entry>
         <oasis:entry colname="col3">25</oasis:entry>
         <oasis:entry colname="col4">0.2</oasis:entry>
         <oasis:entry colname="col5">689.6</oasis:entry>
         <oasis:entry colname="col6">1.1</oasis:entry>
         <oasis:entry colname="col7">0.0</oasis:entry>
         <oasis:entry colname="col8">Isoprene <inline-formula><mml:math id="M128" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.17 [ppb]</oasis:entry>
         <oasis:entry colname="col9">0.9</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">C</oasis:entry>
         <oasis:entry colname="col2">5</oasis:entry>
         <oasis:entry colname="col3">45</oasis:entry>
         <oasis:entry colname="col4">0.3</oasis:entry>
         <oasis:entry colname="col5">397.9</oasis:entry>
         <oasis:entry colname="col6">0.0</oasis:entry>
         <oasis:entry colname="col7">0.0</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M129" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene <inline-formula><mml:math id="M130" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.50 [ppb]</oasis:entry>
         <oasis:entry colname="col9">891.9</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">D</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M131" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11</oasis:entry>
         <oasis:entry colname="col3">76</oasis:entry>
         <oasis:entry colname="col4">0.2</oasis:entry>
         <oasis:entry colname="col5">551.3</oasis:entry>
         <oasis:entry colname="col6">0.0</oasis:entry>
         <oasis:entry colname="col7">0.0</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M132" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene <inline-formula><mml:math id="M133" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.05 [ppb]</oasis:entry>
         <oasis:entry colname="col9">6.4</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">E</oasis:entry>
         <oasis:entry colname="col2">20</oasis:entry>
         <oasis:entry colname="col3">48</oasis:entry>
         <oasis:entry colname="col4">4.8</oasis:entry>
         <oasis:entry colname="col5">45.7</oasis:entry>
         <oasis:entry colname="col6">0.0</oasis:entry>
         <oasis:entry colname="col7">1.2</oasis:entry>
         <oasis:entry colname="col8">SA <inline-formula><mml:math id="M134" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.1</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<sup>−3</sup>]</oasis:entry>
         <oasis:entry colname="col9">31.0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">F</oasis:entry>
         <oasis:entry colname="col2">20</oasis:entry>
         <oasis:entry colname="col3">48</oasis:entry>
         <oasis:entry colname="col4">5.3</oasis:entry>
         <oasis:entry colname="col5">45.5</oasis:entry>
         <oasis:entry colname="col6">0.0</oasis:entry>
         <oasis:entry colname="col7">1.2</oasis:entry>
         <oasis:entry colname="col8">SA <inline-formula><mml:math id="M137" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">8</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> [cm<sup>−3</sup>]</oasis:entry>
         <oasis:entry colname="col9">6654.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">G</oasis:entry>
         <oasis:entry colname="col2">9</oasis:entry>
         <oasis:entry colname="col3">15</oasis:entry>
         <oasis:entry colname="col4">0.3</oasis:entry>
         <oasis:entry colname="col5">367.3</oasis:entry>
         <oasis:entry colname="col6">0.1</oasis:entry>
         <oasis:entry colname="col7">0.0</oasis:entry>
         <oasis:entry colname="col8">DMS <inline-formula><mml:math id="M140" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.84 [ppb]</oasis:entry>
         <oasis:entry colname="col9">0.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">SA <inline-formula><mml:math id="M141" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> [cm<sup>−3</sup>]</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">MSA <inline-formula><mml:math id="M144" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> [cm<sup>−3</sup>]</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">H</oasis:entry>
         <oasis:entry colname="col2">9</oasis:entry>
         <oasis:entry colname="col3">15</oasis:entry>
         <oasis:entry colname="col4">0.4</oasis:entry>
         <oasis:entry colname="col5">616.9</oasis:entry>
         <oasis:entry colname="col6">0.1</oasis:entry>
         <oasis:entry colname="col7">0.0</oasis:entry>
         <oasis:entry colname="col8">DMS <inline-formula><mml:math id="M147" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.23 [ppb]</oasis:entry>
         <oasis:entry colname="col9">130.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">SA <inline-formula><mml:math id="M148" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.5</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<sup>−3</sup>]</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">MSA <inline-formula><mml:math id="M151" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">8</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>  [cm<sup>−3</sup>]</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">I</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M154" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1</oasis:entry>
         <oasis:entry colname="col3">27</oasis:entry>
         <oasis:entry colname="col4">0.2</oasis:entry>
         <oasis:entry colname="col5">500.0</oasis:entry>
         <oasis:entry colname="col6">0.0</oasis:entry>
         <oasis:entry colname="col7">0.1</oasis:entry>
         <oasis:entry colname="col8">DMS <inline-formula><mml:math id="M155" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.83 [ppb]</oasis:entry>
         <oasis:entry colname="col9">2.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">SA <inline-formula><mml:math id="M156" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.2</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> [cm<sup>−3</sup>]</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">MSA <inline-formula><mml:math id="M159" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> [cm<sup>−3</sup>]</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">J</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M162" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1</oasis:entry>
         <oasis:entry colname="col3">27</oasis:entry>
         <oasis:entry colname="col4">0.3</oasis:entry>
         <oasis:entry colname="col5">491.1</oasis:entry>
         <oasis:entry colname="col6">0.0</oasis:entry>
         <oasis:entry colname="col7">0.0</oasis:entry>
         <oasis:entry colname="col8">DMS <inline-formula><mml:math id="M163" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.73 [ppb]</oasis:entry>
         <oasis:entry colname="col9">75.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">SA <inline-formula><mml:math id="M164" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.9</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> [cm<sup>−3</sup>]</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">MSA <inline-formula><mml:math id="M167" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.1</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<sup>−3</sup>]</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">K</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M170" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11</oasis:entry>
         <oasis:entry colname="col3">11</oasis:entry>
         <oasis:entry colname="col4">0.3</oasis:entry>
         <oasis:entry colname="col5">570.1</oasis:entry>
         <oasis:entry colname="col6">0.0</oasis:entry>
         <oasis:entry colname="col7">0.0</oasis:entry>
         <oasis:entry colname="col8">DMS <inline-formula><mml:math id="M171" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.32 [ppb]</oasis:entry>
         <oasis:entry colname="col9">6.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">SA <inline-formula><mml:math id="M172" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> [cm<sup>−3</sup>]</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">MSA <inline-formula><mml:math id="M175" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.5</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<sup>−3</sup>]</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e2054">Abbreviations: DMS – dimethyl sulfide, SA – sulfuric acid, MSA – methanesulfonic acid.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>CIC time response</title>
      <p id="d2e3295">The time response of the CIC has been measured in the CLOUD chamber using the CERN particle beam (Fig. <xref ref-type="fig" rid="F9"/>). The pion beam spill from the CERN Proton Synchrotron arrives in short bursts of 0.4 s duration, which, for these data, are spaced by about 30 s and have a flux of <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> particles per burst (Fig. <xref ref-type="fig" rid="F9"/>b). The CIC ion number concentration responds to each beam pulse after a 5 s delay  (Fig. <xref ref-type="fig" rid="F9"/>a). This delay is due to the  circulation time at the CLOUD experiment from the internal mixing fans for the beam-exposed air parcel to reach the tip of the CIC sampling probe. The  CIC then reacts instantly (<inline-formula><mml:math id="M179" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 1 s) to the peak ionization pulse from the beam, followed by a gradual decay as the ions are mixed and diluted with non-irradiated  air in the chamber. On longer timescales, ions are lost by ion–ion recombination and by collision with the walls of the CLOUD chamber. The response of the CIC to the beam bursts is mainly seen in channel 1 since only small ions are created in the chamber on these short timescales (note the absence of any signal in channel 3, which has zero response for small ions below 2 nm). The gaps in the CIC data correspond to periods when the instrument performed automatic internal zero-level measurements, with the inlet filter having been switched to 120 V. These data demonstrate an excellent response time for the CIC of around 1 s.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e3328">CIC response to CERN beam pulses. Evolution over an 8 min interval of <bold>(a)</bold> ion number concentrations measured by the CIC when sampling air from the CLOUD chamber at 7 L min<sup>−1</sup> per analyzer and <bold>(b)</bold> CERN particle beam intensity incident on the chamber. Both panels are displayed versus time at 1 s sampling rate. The CIC reacts with a 1 s time response to the pulse of beam ionization, and then the ions are diluted as they are mixed with unexposed air in the chamber by internal mixing fans <bold>(a)</bold>. The gaps in the CIC data correspond to periods when the device performed automatic zero-level measurements.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/18/5717/2025/amt-18-5717-2025-f09.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Summary</title>
      <p id="d2e3367">The laboratory measurements described here – along with operational experience at the CERN CLOUD chamber over the last 5 years – demonstrate that the CIC provides precise and robust long-term measurements of small-ion concentrations of both polarities, with low noise, a fast time response, and excellent reliability. The instrument maintains precise small-ion measurements in all environments, ranging from pristine to highly polluted. Multiple CICs have already been deployed for long-term measurements under diverse ambient conditions across various key field locations. The combination of the low noise of the instrument – even at low flow rates – and the fast time response of 1 s opens up new applications for small-ion counters. For example, in chamber studies, the CIC can precisely measure fast ion processes such as ionization pulses, ion–ion recombination rates, diffusion charging of aerosol, ion–droplet interactions, and wall loss rates. In the atmosphere, ion concentrations can be measured in rapidly changing environments such as inhomogeneous urban conditions or in observations from aircraft. Its low weight, small dimensions, and low power consumption open up new possibilities for aerial measurements with drones. In addition, the CIC can lead to an improved understanding of the production, transport, and loss of small ions in the troposphere and their contributions to atmospheric processes such as the global electrical circuit and ion-induced nucleation of aerosol particles.</p>
      <p id="d2e3370">With its excellent performance in terms of small-ion measurements, the CIC will join other key instruments for studying atmospheric new particle formation such as the Neutral cluster and Air Ion Spectrometer (NAIS), the scanning Particle Size Magnifier (PSM), and the Atmospheric Pressure interface Time-of-Flight (APi-TOF) mass spectrometer.</p>
</sec>

      
      </body>
    <back><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e3378">The datasets and code used in this paper are available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.17357061" ext-link-type="DOI">10.5281/zenodo.17357061</ext-link> <xref ref-type="bibr" rid="bib1.bibx27" id="paren.28"/>.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e3390">SM and PK designed the instrument. SM, HEM, PK, RB, ES, BR, YW, SE, SKW, JP, JKa, JKi, and JA performed the measurements. SM, HEM, and RB analyzed the data. SM, HEM, and RB wrote the paper draft. RB, BR, and JKi reviewed and edited the paper. MK and JKi facilitated the access to the research infrastructure.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e3396">Sander Mirme and Paap Koemets are employees at Airel OÜ. Sander Mirme is a shareholder of Airel OÜ. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e3402">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors.</p>
  </notes><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e3408">This research has been, in part, supported by the Estonian Research Council (project nos. PRG714 and RVTT3) and the MSCA ITN project CLOUD-DOC (grant no. 101073026). Rima Balbaaki acknowledges funding from the EMME-CARE project, which was supported by the European Union's Horizon 2020 Research and Innovation Programme (grant agreement no. 856612) and the Cyprus Government.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e3414">This paper was edited by Christian von Savigny and reviewed by three anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><label>Aplin and Harrison(2000)</label><mixed-citation>Aplin, K. L. and Harrison, R. G.: A computer-controlled Gerdien atmospheric  ion counter, Rev. Sci. Instrum., 71, 3037–3041, <ext-link xlink:href="https://doi.org/10.1063/1.1305511" ext-link-type="DOI">10.1063/1.1305511</ext-link>, 2000.</mixed-citation></ref>
      <ref id="bib1.bibx2"><label>Carslaw et al.(2002)</label><mixed-citation> Carslaw, K. S., Harrison, R. G., and Kirkby, J.: Cosmic rays, clouds, and  climate, Science, 298, 1732–1737, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx3"><label>Ebert(1901)</label><mixed-citation> Ebert, H.: Aspirationsapparat zur Bestimmung des ionen gehaltes der Atmosphäre, Phys. Z., 2, 662–664, 1901.</mixed-citation></ref>
      <ref id="bib1.bibx4"><label>Fernández de la Mora et al.(2003)</label><mixed-citation>Fernández de la Mora, J., de Juan, L., Liedtke, K., and Schmidt-Ott, A.:  Mass and size determination of nanometer particles by means of mobility  analysis and focused impaction, J. Aerosol Sci., 34, 79–98, <ext-link xlink:href="https://doi.org/10.1016/S0021-8502(02)00121-0" ext-link-type="DOI">10.1016/S0021-8502(02)00121-0</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx5"><label>Flagan(1998)</label><mixed-citation> Flagan, R. C.: History of Electrical Aerosol Measurements, Aerosol Sci. Tech., 28, 301–380, 1998.</mixed-citation></ref>
      <ref id="bib1.bibx6"><label>Gerdien(1905)</label><mixed-citation> Gerdien, H.: Ein neuer Apparat zur Messung der elektrischen  Leitfähigkeit der Luft, Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse, 1905, 240–251, 1905.</mixed-citation></ref>
      <ref id="bib1.bibx7"><label>Gormley and Kennedy(1948)</label><mixed-citation> Gormley, P. and Kennedy, M.: Diffusion from a stream flowing through a  cylindrical tube, P. Roy. Irish Acad. A, 52, 163–169, 1948.</mixed-citation></ref>
      <ref id="bib1.bibx8"><label>Grabarczyk(2001)</label><mixed-citation>Grabarczyk, Z.: Frequency characteristic of an aspiration integrating small ion counter with a shielded collector, J. Electrostat., 51–52,  284–289, <ext-link xlink:href="https://doi.org/10.1016/S0304-3886(01)00057-2" ext-link-type="DOI">10.1016/S0304-3886(01)00057-2</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx9"><label>Harrison and Ambaum(2008)</label><mixed-citation> Harrison, R. G. and Ambaum, M. H.: Enhancement of cloud formation by droplet  charging, Proceedings of the Royal Society A: Mathematical, Physical and  Engineering Sciences, 464, 2561–2573, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx10"><label>Harrison and Carslaw(2003)</label><mixed-citation>Harrison, R. G. and Carslaw, K. S.: Ion-aerosol-cloud processes in the lower  atmosphere, Rev. Geophys., 41, 1012, <ext-link xlink:href="https://doi.org/10.1029/2002RG000114" ext-link-type="DOI">10.1029/2002RG000114</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx11"><label>Harrison and Wilding(2005)</label><mixed-citation>Harrison, R. G. and Wilding, R. J.: Programmable ion mobility spectrometer:  Time resolution improvement and ion counter comparison, Rev. Sci. Instrum., 76, 086109, <ext-link xlink:href="https://doi.org/10.1063/1.2010469" ext-link-type="DOI">10.1063/1.2010469</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx12"><label>Hirsikko et al.(2011)</label><mixed-citation>Hirsikko, A., Nieminen, T., Gagné, S., Lehtipalo, K., Manninen, H. E., Ehn, M., Hõrrak, U., Kerminen, V.-M., Laakso, L., McMurry, P. H., Mirme, A., Mirme, S., Petäjä, T., Tammet, H., Vakkari, V., Vana, M., and Kulmala, M.: Atmospheric ions and nucleation: a review of observations, Atmos. Chem. Phys., 11, 767–798, <ext-link xlink:href="https://doi.org/10.5194/acp-11-767-2011" ext-link-type="DOI">10.5194/acp-11-767-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx13"><label>Hõrrak(2001)</label><mixed-citation> Hõrrak, U.: Air ion mobility spectrum at a rural area, PhD thesis,  University of Tartu, ISBN 9789985566121, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx14"><label>Hõrrak et al.(2000)</label><mixed-citation> Hõrrak, U., Salm, J., and Tammet, H.: Statistical characterization of air ion  mobility spectra at Tahkuse Observatory: Classification of air ions, J. Geophys. Res.-Atmos., 105, 9291–9302, 2000.</mixed-citation></ref>
      <ref id="bib1.bibx15"><label>Kangasluoma et al.(2015)</label><mixed-citation>Kangasluoma, J., Attoui, M., Junninen, H., Lehtipalo, K., Samodurov, A.,  Korhonen, F., Sarnela, N., Schmidt-Ott, A., Worsnop, D., Kulmala, M., and  Petäjä, T.: Sizing of neutral sub 3nm tungsten oxide clusters using  Airmodus Particle Size Magnifier, J. Aerosol Sci., 87, 53–62, <ext-link xlink:href="https://doi.org/10.1016/j.jaerosci.2015.05.007" ext-link-type="DOI">10.1016/j.jaerosci.2015.05.007</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx16"><label>Kirkby et al.(2011)</label><mixed-citation> Kirkby, J., Curtius, J., Almeida, J., Dunne, E., Duplissy, J., Ehrhart, S.,  Franchin, A., Gagné, S., Ickes, L., Kürten, A., Kupc, A., Metzger,  A., Riccobono, F., Rondo, L., Schobesberger, S., Tsagkogeorgas, G., Wimmer,  D., Amorim, A., Bianchi, F., Breitenlechner, M., David, A., Dommen, J.,  Downard, A., Ehn, M., Flagan, R., Haider, S., Hansel, A., Hauser, D., Jud, W., Junninen, H., Kreissl, F., Kvashin, A., Laaksonen, A., Lehtipalo, K.,  Lima, J., Lovejoy, E., Makhmutov, V., Mathot, S., Mikkilä, J., Minginette, P., Mogo, S., Nieminen, T., Onnela, A., Pereira, P.,  Petäjä, T., Schnitzhofer, R., Seinfeld, J., Sipilä, M., Stozhkov, Y., Stratmann, F., Tomé, A., Vanhanen, J., Viisanen, Y., Vrtala, A.,  Wagner, P., Walther, H., Weingartner, E., Wex, H., Winkler, P., Carslaw, K., Worsnop, D., Baltensperger, U., and Kulmala, M.: Role of sulphuric acid,  ammonia and galactic cosmic rays in atmospheric aerosol nucleation, Nature,  476, 429–433, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx17"><label>Kirkby et al.(2016)</label><mixed-citation> Kirkby, J., Duplissy, J., Sengupta, K., Frege, C., Gordon, H., Williamson, C., Heinritzi, M., Simon, M., Yan, C., Almeida, J., Tröstl, J., Nieminen, T., Ortega, I., Wagner, R., Adamov, A., Amorim, A., Bernhammer, A., Bianchi, F., Breitenlechner, M., Brilke, S., Chen, X., Craven, J., Dias, A., Ehrhart, S., Flagan, R., Franchin, A., Fuchs, C., Guida, R., Hakala, J., Hoyle, C.,  Jokinen, T., Junninen, H., Kangasluoma, J., Kim, J., Krapf, M., Kürten,  A., Laaksonen, A., Lehtipalo, K., Makhmutov, V., Mathot, S., Molteni, U.,  Onnela, A., Peräkylä, O., Piel, F., Petäjä, T., Praplan, A.,  Pringle, K., Rap, A., Richards, N., Riipinen, I., Rissanen, M., Rondo, L.,  Sarnela, N., Schobesberger, S., Scott, C., Seinfeld, J., Sipilä, M.,  Steiner, G., Stozhkov, Y., Stratmann, F., Tomé, A., Virtanen, A., Vogel,  A., Wagner, A., Wagner, P., Weingartner, E., Wimmer, D., Winkler, P., Ye, P.,  Zhang, X., Hansel, A., Dommen, J., Donahue, N., Worsnop, D., Baltensperger,  U., Kulmala, M., Carslaw, K., and Curtius, J.: Ion-induced nucleation of pure  biogenic particles, Nature, 533, 521–526, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx18"><label>Kirkby et al.(2023)</label><mixed-citation> Kirkby, J., Amorim, A., Baltensperger, U., Carslaw, K. S., Christoudias, T.,  Curtius, J., Donahue, N. M., Haddad, I. E., Flagan, R. C., and Gordon, H.:  Atmospheric new particle formation from the CERN CLOUD experiment, Nat.  Geosci., 16, 948–957, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx19"><label>Ku and de la Mora(2009)</label><mixed-citation> Ku, B. K. and de la Mora, J. F.: Relation between electrical mobility, mass,  and size for nanodrops 1–6.5 nm in diameter in air, Aerosol Sci. Tech., 43, 241–249, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx20"><label>Kubásek et al.(2009)</label><mixed-citation>Kubásek, R., Roubal, Z., Szabó, Z., and Steinbauer, M.: The measurement of  air ions spectrum using the aspiration method, in: 2009 3rd International Conference on Signals, Circuits and Systems (SCS), Medenine, Tunisia, 6–8 November 2009, IEEE, 1–4, <ext-link xlink:href="https://doi.org/10.1109/ICSCS.2009.5414176" ext-link-type="DOI">10.1109/ICSCS.2009.5414176</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx21"><label>Kulmala et al.(2024)</label><mixed-citation>Kulmala, M., Tuovinen, S., Mirme, S., Koemets, P., Ahonen, L., Liu, Y., Junninen, H., Petäjä, T., and Kerminen, V.-M.: On the potential of the Cluster Ion Counter (CIC) to observe local new particle formation, condensation sink and growth rate of newly formed particles, Aerosol Research, 2, 291–301, <ext-link xlink:href="https://doi.org/10.5194/ar-2-291-2024" ext-link-type="DOI">10.5194/ar-2-291-2024</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx22"><label>Matisen et al.(1992) </label><mixed-citation>Matisen, R., Miller, F., Tammet, H., and Salm, J.: Air ion counters and  spectrometers designed in Tartu University, Acta Comm. Univ. Tartu, 947,  60–67, <uri>https://dspace.ut.ee/server/api/core/bitstreams/114a1e18-55b2-4c21-92a2-19048558c91e/content</uri> (last access: 16 October 2025), 1992.</mixed-citation></ref>
      <ref id="bib1.bibx23"><label>Mirme(2011)</label><mixed-citation>Mirme, S.: Development of nanometer aerosol measurement technology, PhD thesis, University of Tartu, ISBN 9789949197385, <uri>http://hdl.handle.net/10062/18094</uri> (last access: 16 October 2025), 2011.</mixed-citation></ref>
      <ref id="bib1.bibx24"><label>Mirme and Mirme(2013)</label><mixed-citation>Mirme, S. and Mirme, A.: The mathematical principles and design of the NAIS – a spectrometer for the measurement of cluster ion and nanometer aerosol size distributions, Atmos. Meas. Tech., 6, 1061–1071, <ext-link xlink:href="https://doi.org/10.5194/amt-6-1061-2013" ext-link-type="DOI">10.5194/amt-6-1061-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx25"><label>Moody(1984)</label><mixed-citation> Moody, N. F.: Design and construction of an improved, portable, air-ion  counter, Int. J. Biometeorol., 28, 169–184, 1984.</mixed-citation></ref>
      <ref id="bib1.bibx26"><label>Mäkelä et al.(1996)</label><mixed-citation>Mäkelä, J. M., Riihelä, M., Ukkonen, A., Jokinen, V., and Keskinen, J.:  Comparison of mobility equivalent diameter with Kelvin-Thomson diameter  using ion mobility data, J. Chem. Phys., 105, 1562–1571,  <ext-link xlink:href="https://doi.org/10.1063/1.472017" ext-link-type="DOI">10.1063/1.472017</ext-link>, 1996.</mixed-citation></ref>
      <ref id="bib1.bibx27"><label>Mirme et al.(2025)</label><mixed-citation>Mirme, S., Baalbaki, R., Manninen, H. E., Koemets, P., Sommer, E., Rörup, B., Wu, Y., Almeida, J., Ehrhart, S., Weber, S. K., Pfeifer, J., Kangasluoma, J., Kulmala, M., and Kirkby, J.: Datasets and code for “Design and performance of the Cluster Ion Counter (CIC)”, Zenodo [data set], <ext-link xlink:href="https://doi.org/10.5281/zenodo.17357061" ext-link-type="DOI">10.5281/zenodo.17357061</ext-link>, 2025. </mixed-citation></ref>
      <ref id="bib1.bibx28"><label>Nicoll and Harrison(2008)</label><mixed-citation>Nicoll, K. A. and Harrison, R. G.: A double Gerdien instrument for  simultaneous bipolar air conductivity measurements on balloon platforms,  Rev. Sci. Instrum., 79, 084502, <ext-link xlink:href="https://doi.org/10.1063/1.2964927" ext-link-type="DOI">10.1063/1.2964927</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx29"><label>Peineke et al.(2006)</label><mixed-citation>Peineke, C., Attoui, M., and Schmidt-Ott, A.: Using a glowing wire generator  for production of charged, uniformly sized nanoparticles at high  concentrations, J. Aerosol Sci., 37, 1651–1661, <ext-link xlink:href="https://doi.org/10.1016/j.jaerosci.2006.06.006" ext-link-type="DOI">10.1016/j.jaerosci.2006.06.006</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx30"><label>Rycroft et al.(2012)</label><mixed-citation> Rycroft, M. J., Nicoll, K. A., Aplin, K. L., and Harrison, R. G.: Recent  advances in global electric circuit coupling between the space environment  and the troposphere, J. Atmos. Sol.-Terr. Phy., 90–91, 198–211, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx31"><label>Tammet(1970)</label><mixed-citation>Tammet, H.: The aspiration method for the Determination of  Atmospheric-Ion Spectra, The Israel Program for Scientific Translations Jerusalem, National Science Foundation, Washington, D.C., <uri>http://hdl.handle.net/10062/50208</uri> (last access: 16 October 2025), 1970.</mixed-citation></ref>
      <ref id="bib1.bibx32"><label>Tammet(2006)</label><mixed-citation> Tammet, H.: Continuous scanning of the mobility and size distribution of  charged clusters and nanometer particles in atmospheric air and the Balanced Scanning Mobility Analyzer BSMA, Atmos. Res., 82, 523–535, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx33"><label>Tinsley(2008)</label><mixed-citation>Tinsley, B. A.: The global atmospheric electric circuit and its effects on  cloud microphysics, Rep. Prog. Phys., 71, 066801, <ext-link xlink:href="https://doi.org/10.1088/0034-4885/71/6/066801" ext-link-type="DOI">10.1088/0034-4885/71/6/066801</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx34"><label>Uin et al.(2006)</label><mixed-citation> Uin, J., Mirme, S., Mirme, A., and Tamm, E.: Comparison of the Performance of Modified Vienna Type DMA and TSI Nano-DMA, Chem. Eng. Trans, 10, 173–177, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx35"><label>Wilson(1900)</label><mixed-citation> Wilson, C. T. R.: On the leakage of electricity through dust-free air, P.  Camb. Philos. Soc., 11, p. 32, 1900.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Design and performance of the Cluster Ion Counter (CIC)</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>Aplin and Harrison(2000)</label><mixed-citation>
      
Aplin, K. L. and Harrison, R. G.: A computer-controlled Gerdien atmospheric  ion counter, Rev. Sci. Instrum., 71, 3037–3041, <a href="https://doi.org/10.1063/1.1305511" target="_blank">https://doi.org/10.1063/1.1305511</a>, 2000.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Carslaw et al.(2002)</label><mixed-citation>
      
Carslaw, K. S., Harrison, R. G., and Kirkby, J.: Cosmic rays, clouds, and  climate, Science, 298, 1732–1737, 2002.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Ebert(1901)</label><mixed-citation>
      
Ebert, H.: Aspirationsapparat zur Bestimmung des ionen gehaltes der Atmosphäre, Phys. Z., 2, 662–664, 1901.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Fernández de la Mora et al.(2003)</label><mixed-citation>
      
Fernández de la Mora, J., de Juan, L., Liedtke, K., and Schmidt-Ott, A.:  Mass and size determination of nanometer particles by means of mobility  analysis and focused impaction, J. Aerosol Sci., 34, 79–98, <a href="https://doi.org/10.1016/S0021-8502(02)00121-0" target="_blank">https://doi.org/10.1016/S0021-8502(02)00121-0</a>, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Flagan(1998)</label><mixed-citation>
      
Flagan, R. C.: History of Electrical Aerosol Measurements, Aerosol Sci. Tech., 28, 301–380, 1998.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Gerdien(1905)</label><mixed-citation>
      
Gerdien, H.: Ein neuer Apparat zur Messung der elektrischen  Leitfähigkeit der Luft, Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse, 1905, 240–251, 1905.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Gormley and Kennedy(1948)</label><mixed-citation>
      
Gormley, P. and Kennedy, M.: Diffusion from a stream flowing through a  cylindrical tube, P. Roy. Irish Acad. A, 52, 163–169, 1948.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Grabarczyk(2001)</label><mixed-citation>
      
Grabarczyk, Z.: Frequency characteristic of an aspiration integrating small ion counter with a shielded collector, J. Electrostat., 51–52,  284–289, <a href="https://doi.org/10.1016/S0304-3886(01)00057-2" target="_blank">https://doi.org/10.1016/S0304-3886(01)00057-2</a>, 2001.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Harrison and Ambaum(2008)</label><mixed-citation>
      
Harrison, R. G. and Ambaum, M. H.: Enhancement of cloud formation by droplet  charging, Proceedings of the Royal Society A: Mathematical, Physical and  Engineering Sciences, 464, 2561–2573, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Harrison and Carslaw(2003)</label><mixed-citation>
      
Harrison, R. G. and Carslaw, K. S.: Ion-aerosol-cloud processes in the lower  atmosphere, Rev. Geophys., 41, 1012, <a href="https://doi.org/10.1029/2002RG000114" target="_blank">https://doi.org/10.1029/2002RG000114</a>, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Harrison and Wilding(2005)</label><mixed-citation>
      
Harrison, R. G. and Wilding, R. J.: Programmable ion mobility spectrometer:  Time resolution improvement and ion counter comparison, Rev. Sci. Instrum., 76, 086109, <a href="https://doi.org/10.1063/1.2010469" target="_blank">https://doi.org/10.1063/1.2010469</a>, 2005.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Hirsikko et al.(2011)</label><mixed-citation>
      
Hirsikko, A., Nieminen, T., Gagné, S., Lehtipalo, K., Manninen, H. E., Ehn, M., Hõrrak, U., Kerminen, V.-M., Laakso, L., McMurry, P. H., Mirme, A., Mirme, S., Petäjä, T., Tammet, H., Vakkari, V., Vana, M., and Kulmala, M.: Atmospheric ions and nucleation: a review of observations, Atmos. Chem. Phys., 11, 767–798, <a href="https://doi.org/10.5194/acp-11-767-2011" target="_blank">https://doi.org/10.5194/acp-11-767-2011</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Hõrrak(2001)</label><mixed-citation>
      
Hõrrak, U.: Air ion mobility spectrum at a rural area, PhD thesis,  University of Tartu, ISBN 9789985566121, 2001.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Hõrrak et al.(2000)</label><mixed-citation>
      
Hõrrak, U., Salm, J., and Tammet, H.: Statistical characterization of air ion  mobility spectra at Tahkuse Observatory: Classification of air ions, J. Geophys. Res.-Atmos., 105, 9291–9302, 2000.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Kangasluoma et al.(2015)</label><mixed-citation>
      
Kangasluoma, J., Attoui, M., Junninen, H., Lehtipalo, K., Samodurov, A.,  Korhonen, F., Sarnela, N., Schmidt-Ott, A., Worsnop, D., Kulmala, M., and  Petäjä, T.: Sizing of neutral sub 3nm tungsten oxide clusters using  Airmodus Particle Size Magnifier, J. Aerosol Sci., 87, 53–62, <a href="https://doi.org/10.1016/j.jaerosci.2015.05.007" target="_blank">https://doi.org/10.1016/j.jaerosci.2015.05.007</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Kirkby et al.(2011)</label><mixed-citation>
      
Kirkby, J., Curtius, J., Almeida, J., Dunne, E., Duplissy, J., Ehrhart, S.,  Franchin, A., Gagné, S., Ickes, L., Kürten, A., Kupc, A., Metzger,  A., Riccobono, F., Rondo, L., Schobesberger, S., Tsagkogeorgas, G., Wimmer,  D., Amorim, A., Bianchi, F., Breitenlechner, M., David, A., Dommen, J.,  Downard, A., Ehn, M., Flagan, R., Haider, S., Hansel, A., Hauser, D., Jud, W., Junninen, H., Kreissl, F., Kvashin, A., Laaksonen, A., Lehtipalo, K.,  Lima, J., Lovejoy, E., Makhmutov, V., Mathot, S., Mikkilä, J., Minginette, P., Mogo, S., Nieminen, T., Onnela, A., Pereira, P.,  Petäjä, T., Schnitzhofer, R., Seinfeld, J., Sipilä, M., Stozhkov, Y., Stratmann, F., Tomé, A., Vanhanen, J., Viisanen, Y., Vrtala, A.,  Wagner, P., Walther, H., Weingartner, E., Wex, H., Winkler, P., Carslaw, K., Worsnop, D., Baltensperger, U., and Kulmala, M.: Role of sulphuric acid,  ammonia and galactic cosmic rays in atmospheric aerosol nucleation, Nature,  476, 429–433, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Kirkby et al.(2016)</label><mixed-citation>
      
Kirkby, J., Duplissy, J., Sengupta, K., Frege, C., Gordon, H., Williamson, C., Heinritzi, M., Simon, M., Yan, C., Almeida, J., Tröstl, J., Nieminen, T., Ortega, I., Wagner, R., Adamov, A., Amorim, A., Bernhammer, A., Bianchi, F., Breitenlechner, M., Brilke, S., Chen, X., Craven, J., Dias, A., Ehrhart, S., Flagan, R., Franchin, A., Fuchs, C., Guida, R., Hakala, J., Hoyle, C.,  Jokinen, T., Junninen, H., Kangasluoma, J., Kim, J., Krapf, M., Kürten,  A., Laaksonen, A., Lehtipalo, K., Makhmutov, V., Mathot, S., Molteni, U.,  Onnela, A., Peräkylä, O., Piel, F., Petäjä, T., Praplan, A.,  Pringle, K., Rap, A., Richards, N., Riipinen, I., Rissanen, M., Rondo, L.,  Sarnela, N., Schobesberger, S., Scott, C., Seinfeld, J., Sipilä, M.,  Steiner, G., Stozhkov, Y., Stratmann, F., Tomé, A., Virtanen, A., Vogel,  A., Wagner, A., Wagner, P., Weingartner, E., Wimmer, D., Winkler, P., Ye, P.,  Zhang, X., Hansel, A., Dommen, J., Donahue, N., Worsnop, D., Baltensperger,  U., Kulmala, M., Carslaw, K., and Curtius, J.: Ion-induced nucleation of pure  biogenic particles, Nature, 533, 521–526, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Kirkby et al.(2023)</label><mixed-citation>
      
Kirkby, J., Amorim, A., Baltensperger, U., Carslaw, K. S., Christoudias, T.,  Curtius, J., Donahue, N. M., Haddad, I. E., Flagan, R. C., and Gordon, H.:  Atmospheric new particle formation from the CERN CLOUD experiment, Nat.  Geosci., 16, 948–957, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Ku and de la Mora(2009)</label><mixed-citation>
      
Ku, B. K. and de la Mora, J. F.: Relation between electrical mobility, mass,  and size for nanodrops 1–6.5&thinsp;nm in diameter in air, Aerosol Sci. Tech., 43, 241–249, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Kubásek et al.(2009)</label><mixed-citation>
      
Kubásek, R., Roubal, Z., Szabó, Z., and Steinbauer, M.: The measurement of  air ions spectrum using the aspiration method, in: 2009 3rd International Conference on Signals, Circuits and Systems (SCS), Medenine, Tunisia, 6–8 November 2009, IEEE, 1–4, <a href="https://doi.org/10.1109/ICSCS.2009.5414176" target="_blank">https://doi.org/10.1109/ICSCS.2009.5414176</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Kulmala et al.(2024)</label><mixed-citation>
      
Kulmala, M., Tuovinen, S., Mirme, S., Koemets, P., Ahonen, L., Liu, Y., Junninen, H., Petäjä, T., and Kerminen, V.-M.: On the potential of the Cluster Ion Counter (CIC) to observe local new particle formation, condensation sink and growth rate of newly formed particles, Aerosol Research, 2, 291–301, <a href="https://doi.org/10.5194/ar-2-291-2024" target="_blank">https://doi.org/10.5194/ar-2-291-2024</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Matisen et al.(1992) </label><mixed-citation>
      
Matisen, R., Miller, F., Tammet, H., and Salm, J.: Air ion counters and  spectrometers designed in Tartu University, Acta Comm. Univ. Tartu, 947,  60–67, <a href="https://dspace.ut.ee/server/api/core/bitstreams/114a1e18-55b2-4c21-92a2-19048558c91e/content" target="_blank"/> (last access: 16 October 2025), 1992.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Mirme(2011)</label><mixed-citation>
      
Mirme, S.: Development of nanometer aerosol measurement technology, PhD thesis, University of Tartu, ISBN 9789949197385, <a href="http://hdl.handle.net/10062/18094" target="_blank"/> (last access: 16 October 2025), 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Mirme and Mirme(2013)</label><mixed-citation>
      
Mirme, S. and Mirme, A.: The mathematical principles and design of the NAIS – a spectrometer for the measurement of cluster ion and nanometer aerosol size distributions, Atmos. Meas. Tech., 6, 1061–1071, <a href="https://doi.org/10.5194/amt-6-1061-2013" target="_blank">https://doi.org/10.5194/amt-6-1061-2013</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Moody(1984)</label><mixed-citation>
      
Moody, N. F.: Design and construction of an improved, portable, air-ion  counter, Int. J. Biometeorol., 28, 169–184, 1984.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Mäkelä et al.(1996)</label><mixed-citation>
      
Mäkelä, J. M., Riihelä, M., Ukkonen, A., Jokinen, V., and Keskinen, J.:  Comparison of mobility equivalent diameter with Kelvin-Thomson diameter  using ion mobility data, J. Chem. Phys., 105, 1562–1571,  <a href="https://doi.org/10.1063/1.472017" target="_blank">https://doi.org/10.1063/1.472017</a>, 1996.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>Mirme et al.(2025)</label><mixed-citation>
      
Mirme, S., Baalbaki, R., Manninen, H. E., Koemets, P., Sommer, E., Rörup, B., Wu, Y., Almeida, J., Ehrhart, S., Weber, S. K., Pfeifer, J., Kangasluoma, J., Kulmala, M., and Kirkby, J.: Datasets and code for “Design and performance of the Cluster Ion Counter (CIC)”, Zenodo [data set], <a href="https://doi.org/10.5281/zenodo.17357061" target="_blank">https://doi.org/10.5281/zenodo.17357061</a>, 2025.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Nicoll and Harrison(2008)</label><mixed-citation>
      
Nicoll, K. A. and Harrison, R. G.: A double Gerdien instrument for  simultaneous bipolar air conductivity measurements on balloon platforms,  Rev. Sci. Instrum., 79, 084502, <a href="https://doi.org/10.1063/1.2964927" target="_blank">https://doi.org/10.1063/1.2964927</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>Peineke et al.(2006)</label><mixed-citation>
      
Peineke, C., Attoui, M., and Schmidt-Ott, A.: Using a glowing wire generator  for production of charged, uniformly sized nanoparticles at high  concentrations, J. Aerosol Sci., 37, 1651–1661, <a href="https://doi.org/10.1016/j.jaerosci.2006.06.006" target="_blank">https://doi.org/10.1016/j.jaerosci.2006.06.006</a>, 2006.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>Rycroft et al.(2012)</label><mixed-citation>
      
Rycroft, M. J., Nicoll, K. A., Aplin, K. L., and Harrison, R. G.: Recent  advances in global electric circuit coupling between the space environment  and the troposphere, J. Atmos. Sol.-Terr. Phy., 90–91, 198–211, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>Tammet(1970)</label><mixed-citation>
      
Tammet, H.: The aspiration method for the Determination of  Atmospheric-Ion Spectra, The Israel Program for Scientific Translations Jerusalem, National Science Foundation, Washington, D.C., <a href="http://hdl.handle.net/10062/50208" target="_blank"/> (last access: 16 October 2025), 1970.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>Tammet(2006)</label><mixed-citation>
      
Tammet, H.: Continuous scanning of the mobility and size distribution of  charged clusters and nanometer particles in atmospheric air and the Balanced Scanning Mobility Analyzer BSMA, Atmos. Res., 82, 523–535, 2006.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Tinsley(2008)</label><mixed-citation>
      
Tinsley, B. A.: The global atmospheric electric circuit and its effects on  cloud microphysics, Rep. Prog. Phys., 71, 066801, <a href="https://doi.org/10.1088/0034-4885/71/6/066801" target="_blank">https://doi.org/10.1088/0034-4885/71/6/066801</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>Uin et al.(2006)</label><mixed-citation>
      
Uin, J., Mirme, S., Mirme, A., and Tamm, E.: Comparison of the Performance of Modified Vienna Type DMA and TSI Nano-DMA, Chem. Eng. Trans, 10, 173–177, 2006.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>Wilson(1900)</label><mixed-citation>
      
Wilson, C. T. R.: On the leakage of electricity through dust-free air, P.  Camb. Philos. Soc., 11, p. 32, 1900.

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