An online radon monitor for low-background detector assembly facilities

Backgrounds from long-lived radon decay products are often problematic for low-energy neutrino and rare-event experiments. These isotopes, specifically 210Pb\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${}^{210}\hbox {Pb}$$\end{document}, 210Bi\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${}^{210}\hbox {Bi}$$\end{document}, and 210Po\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${}^{210}\hbox {Po}$$\end{document}, easily plate out onto surfaces exposed to radon-loaded air. The alpha emitter 210Po\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${}^{210}\hbox {Po}$$\end{document} is particularly dangerous for detectors searching for weakly-interacting dark matter particles. Neutrons produced via (α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\upalpha $$\end{document}, n) reactions in detector materials are, in some cases, a residual background that can limit the sensitivity of the experiment. An effective solution is to reduce the 222Rn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${}^{222}\hbox {Rn}$$\end{document} activity in the air in contact with detector components during fabrication, assembly, commissioning, and operation. We present the design, construction, calibration procedures and performance of an electrostatic radon detector made to monitor two radon-suppressed clean rooms built for the DARKSIDE-50 experiment. A dedicated data acquisition system immune to harsh operating conditions of the radon monitor is also described. A record detection limit for 222Rn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${}^{222}\hbox {Rn}$$\end{document} specific activity in air achieved by the device is 0.05mBqm-3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$0.05\,\hbox {mBqm}^{-3}$$\end{document} (STP). The radon concentration of different air samples collected from the two DARKSIDE-50 clean rooms measured with the electrostatic detector is presented.


Introduction
Events resulting from the attachment of 222 Rn progeny onto the surfaces of detectors searching for rare processes, such as solar neutrinos and particle dark matter, can be the limiting backgrounds of current and future experiments. The long-lived isotopes 210 Pb (T 1/2 = 22.3 y), 210 Bi (T 1/2 = 5 d), and 210 Po (T 1/2 = 138 d) are particularly dangerous because they accumulate onto detector components exposed to air throughout the construction, commissioning, and operation a e-mail: krzysztof.pelczar@gmail.com (corresponding author) of the experiments and cannot be let decay away in a reasonable time. Generally, dedicated low-background procedures need to be implemented to limit these backgrounds to acceptably low levels.
Surface alpha background, such as 210 Po, can be a dominant contributor to the background for direct dark matter experiments. These can contribute to background through a few distinct mechanisms. Alpha decays, usually easily identifiable when they occur in the bulk of detectors by their relative scintillation and ionization share and scintillation time profile, can mimic the low energy deposition of weakly interacting dark matter particles if their energy is sufficiently degraded, as is possible when the decays happen on surfaces. The alpha decay of 210 Po produces a nucleus of 206 Pb with about 100 keV of kinetic energy, which can be mistaken with a target nucleus recoiling from a weakly interacting massive particle (WIMP) when the alpha particle is missed, as is the case for about 50% of surface decays. These two surface backgrounds are identifiable and handily discriminated in detectors able to spatially identify them as surface events. Neutrons from (α, n) reactions occurring on the innermost surfaces of detectors, however, cannot be effectively tagged via spatial cuts, due to the long range and capture time of neutrons. Thus this source of background has to ultimately be contained by directly minimizing its presence on detector materials.
Radon daughters plate out on components of a detector can be reduced and even virtually eliminated by suppressing the radon content in air where the detector is assembled, installed, and commissioned. Equally important is to monitor the radon content in radon-suppressed environments with adequate sensitivity, typically 1mBq m −3 and in real time. The most sensitive techniques for 222 Rn assay (currently reaching detection limits of ≈ 30 μBq) employ ultra lowlevel proportional counters [1] and cryogenic detectors [2,3]. The latter allow the concurrent detection of 220 Rn. However, neither method is suitable for continuous monitoring. Lucas cell scintillation chambers are a commonly-employed technology, but due to relatively high background count rates, their sensitivity is limited to about 0.5 Bq m −3 [4], insufficient for today's needs in rare-event physics.
Alternatively, 222 Rn can be detected using the electrostatic collection of radon daughters produced in a large volume of air in which a strong electrostatic field is applied onto the sensitive surface of an α-particle detector. The measurement of the consecutive α decays of 218 Po and 214 Po allows, when properly calibrated, to measure the radon concentration in the sampled air. Radon monitors employing this method were successfully developed by the Super-Kamiokande [5,6] and Borexino [7] experiments. The quoted sensitivity is 1.4/0.7 mBq m −3 ( 222 Rn in water), and 1mBq m −3 , respectively, adequate for what was required for the DarkSide-50 time projection chamber (TPC). A radon detector based on this technique was built for continuous monitoring of the air of the two clean rooms in which the DarkSide-50 TPC was assembled and commissioned. Our design was supported by Monte Carlo simulations used to optimize the drift electric field and maximize the collection efficiency of radon daughters onto a silicon detector. In addition, signal efficiency was aided by the use of real-time pulse shape discrimination of the alpha signals. For easy efficiency calibrations we made a dedicated dry 222 Rn source in the form of stainless steel disc with 226 Ra electrodeposited on its surfaces.

The DARKSIDE-50 clean rooms
The first 222 Rn-suppressed clean room (< 1 Bq m −3 of 222 Rn in air) was designed, built, and operated at Princeton University in 1998-2001 for the construction of the Borexino nylon vessels. Thanks to the radon-reduced environment and other low-background procedures, the surface alpha activities of the nylon vessels was below 10 m −2 day −1 [8,9].
The DARKSIDE Collaboration built two radon-suppressed clean rooms for the DARKSIDE-50 (DS-50) experiment, and operated them in Hall C of Laboratori Nazionali del Gran Sasso: Clean Room Hanoi (CRH) and Clean Room One (CR1). The clean rooms were used for detector assembly and initial installation, and for subsequent upgrades of the Time Projection Chamber. Their make-up air was entirely supplied by a custom-fitted radon abatement system able to deliver sub-mBqm −3 air. Monitoring of radon content in the air was crucial for the control of the intrinsic detector background. Radon content in the air (and other technology gases like nitrogen and argon) was measured online by a dedicated electrostatic radon monitor, described in detail in this paper.
The CRH is located on top of the Counting Test Facility (CTF) tank hosting the DARKSIDE-50 Water Cherenkov Veto (WCV) muon detector to which it allows direct access via a flanged opening on its floor. Access is also possible into the DARKSIDE-50 Liquid Scintillator Veto (LSV) detector housed inside a spherical stainless steel tank surrounding the TPC through a gate valve placed approximately 6 m above the center of the LSV [10]. The CRH houses the cryogenic and liquid argon handling system and the front-end electronics for all sub-detectors (TPC, neutron veto, muon veto). The CR1 clean room houses the equipment used for precision cleaning, preparation, and partial assembly of the DS-50 LAr-TPC parts. It also houses a large vacuum evaporator in which the inner surfaces of the TPC were coated with TPB wavelength shifter. In DS-50, surface contamination was significantly minimized by carrying out all final operations for TPC assembly in highly 222 Rn-suppressed air clean rooms: CR1 for precision cleaning of the detector parts, wavelength shifter coating, and pre-assembly of the photomultiplier tubes, and CRH for the final assembly, cabling, and insertion into the cryostat of the TPC. In order to take full advantage of the radon-filtration performance of the radon abatement system, both CR1 and CRH were built with radon mitigation included at the design phase. Air handlers and main clean rooms were designed to operate in overpressure with respect to Hall C, great care was placed in sealing the rooms for uncontrolled leaks, such as at feedthrough patch panels, and all surfaces, walls and floors, were lined entirely with stainless steel panels to limit the internal 222 Rn emanation. In addition to the usual clean room procedures, staff members entering CR1 and CRH are required to station in air-shower vestibules via software-controlled interlocks for long enough to allow sufficient lung volume air exchange and flushing of the air volumes mixed with outside air with low-radon air before access to the main rooms.

Radon abatement system
Both DARKSIDE-50 clean rooms, supplied with 222 Rn (and 220 Rn) depleted air, were instrumental in meeting the background requirements of DARKSIDE-50. In turn, the processed Hall C air (after radon filtration) had to contain less than 1 mBq m −3 of 222 Rn. The typical concentration of 222 Rn in Hall C is ∼ 100 Bq m −3 . The desired radon reduction factor was therefore > 10 5 . Figure 1 shows a schematic view of the radon abatement system designed and delivered by the Ateko company [11]. This system is similar to that described in Ref. [12], although significant DARKSIDE-specific improvements to the control software were implemented.
Ambient Hall C air is compressed and delivered to the system at a pressure of 8 to 10 bar. In a first stage of processing, the air is dried on an adsorption bed, where its dew point is reduced to − 70 • C and carbon dioxide is also eliminated.
Here it is separated from oil vapors and undergoes micro- filtration. Air emerging from the chiller unit at a temperature between − 58 • C to − 63 • C is fed to low-temperature activated charcoal-filled radon adsorption columns. The Ateko system has two charcoal columns and can be operated with one adsorption column, two adsorption columns in parallel, or both in series, depending on the radon reduction factor or air throughput required. Normal DARKSIDE-50 operation of the system is with the two adsorption columns in series and limited throughput, for maximal radon suppression. The radon-free air (Ateko air ) emerging from the charcoal beds, is fed through a HEPA dust particle filter, then warmed up to 20 • C, and fed to the DS-50 clean rooms. The yield of the system is ∼ 200 m 3 h −1 of radon-suppressed air.

Online electrostatic radon monitor
In order to constantly monitor the radon content in air produced by the Ateko radon abatement system and air present in the CRH and CR1 clean rooms, a dedicated online electrostatic radon monitor was designed, installed, and commissioned. In addition to air, the system was also calibrated for sampling argon and nitrogen used by the DARKSIDE-50 experiment.

Simulations
The shape of the radon detector vessel was chosen to achieve the following goals: simplified production, minimized weld length and maximized volume-to-surface ratio (i.e., as spherical as possible, in order to minimize the internal 222 Rn ema-nation) and maximized geometrical efficiency of ion collection in the electric field of the vessel.
We have simulated known shapes of the detectors used e.g. in the Gerda experiment [7], or detectors made of standard vacuum parts like wide ConFlat pipe assemblies. The figure of merit used to evaluate the detector designs was the number of ions' paths (starting point generated uniformly inside the vessel) ending at the detector's active surface within a certain amount of time (less than 5 s [13]). In the case of the new detector, we chose the vessel made of three parts: two convex end caps each made of one piece of metal, and a short cylinder to join them.
A full 3D model of the detector was created, and the electric field was numerically calculated using dedicated software [14]. The simulated electric field is shown in Fig. 2. Radon daughter ions are positive and follow a negative potential gradient to the silicon alpha diode. We varied vertical position of the diode observing the maximum electric field strength at its perimeter (not to exceed the breakdown voltage of air and nitrogen). Most of the electric field lines (≈ 90%) terminate on the alpha particle detector active surface, with only a small fraction ending on its housing, yielding an expected high collection efficiency for radon daughters. Only small volumes close to the inlet and outlet ports, or located directly above the alpha particle detector, are excluded from ion collection. Detailed model of the diode construction allowed us to investigate the ion paths ending on its active surface. It is important to note here, that the Ortec Ultra-AS alpha detector used in our setup has an elevated rim around the active surface, which in certain conditions may effectively block ions from the large volume of the detector (if placed too "deep" into the volume of the vessel).
Additionally, the drift of radon daughters was also modeled in detail including diffusion of ions in the gas (Fig. 3). We concluded that the diffusion processes do not affect the collection efficiency significantly, 1 as the collection of ions in the electric field is rather fast, with drift times on the order of seconds [13,15], during which the diffusion of ions is limited.

Detector construction
As discussed above, our main goal was to construct a lowbackground and real-time 222 Rn detector, based on electrostatic collection of the charged radon daughters. In order to reach the assumed detection limit the following requirements had to be fulfilled: Particle diffusion is included in the computation. Overall, the geometrical collection efficiency (due to the electric field shape) is estimated to be ≈ 90%. Typical ion drift time towards the alpha detector is below 2 s. The detector is therefore capable of measuring 220 Rn activity as well -detector vessel volume in the range of 450 L, the shape optimized for maximal collection efficiency of the radon daughters, -only stainless steel, copper and PTFE (as an insulator) used as construction materials (proven to have low 222 Rn emanation rates), -all internal metal surfaces electropolished, -construction of the vessel (certified as a pressure tank) with minimal length of welds (known source of radon), -all-metal construction: connections/joints metal sealed ( 1 2 " VCR fittings, ConFlat flanges), -usage of a round (to prevent discharges) low-background and large-surface alpha detector to register alpha decays of the 222 Rn daughters, -positive bias voltage applied to the detector chamber should be optimized taking into account the collection efficiency of ions and avoiding discharges (the goal is operation with voltages < 10 kV).
We selected an Ortec Ultra-AS alpha detector, displaying excellent energy resolution despite its large sensitive area. Its active surface is 1200 mm 2 , with a depletion depth of about 100 μm (minimizing muon contribution to the background) and a background count rate in the range of some tens of counts per day (cpd) in the energy range of 1.5 MeV-10 MeV. The diode is operated at 40 V, but due to a conductive entrance contact (500 Å thick) the detector does not produce external electric field which could disturb the collection of the positively charged radon daughters. 2 The main advantage of the Ortec detector is its shape (no sharp edges) and large active surface area. The large active area allows for easier electric field lines guidance towards the detector. Also, larger dimensions of the detector result in smaller gradients of the electric field close to the detector edges.
The detector vessel with a diameter of 1 m and height of 70 cm (volume of 450 L) was made from stainless steel and electropolished inside. Its shape is shown in Fig. 3. A schematic of the radon monitor setup is shown in Fig. 4. The alpha detector is installed on the main top flange (DN CF-250) using a dedicated PTFE holder such that its active surface is exactly at the level of the top curvature of the tank. In addition, the connection of the flange neck to the tank is appropriately rounded. Internals of the detector vessel do not have any sharp edges to minimize the electric field gradients. The detector signal feedthrough and the gas outlet were welded in the top flange. The gas inlet was connected to the bottom flange (DN CF-40). Since high voltage is applied to the vessel, the inlet and the outlet lines had appropriate electrically-insulating ceramic insertions. The support legs of the monitor rest on large PTFE pads (approximately 10 cm high).
The high voltage applied to the detector vessel is provided by a dedicated high-high voltage (HHV) unit (Bertan 225-30R) able to deliver up to 20 kV with very low ripple (400 mV), effectively eliminating this internal source of electronic noise.
The detector was installed in a dedicated protection box equipped with a control panel as shown in Fig. 4. The panel allows for selection of a gas to be assayed and for calibrations with a dedicated dry 222 Rn emanation source. In the Fig. 4 Schematic of the DARKSIDE radon online monitor latter case, circulation of the gas is enforced by a small pump operating in a closed loop, including the calibration source and the main vessel. While measuring air, its flow rate is controlled by a mass flow controller (MFC). Before entering the detector the air is additionally filtered with a Swagelok sintered metal filter. To control the pressure at the inlet and in the detector vessel, one analog and one digital vacuum/pressure gauges were installed. In the configuration shown in Fig. 4 one can measure the radon-reduced air, transferred directly from the radon abatement system (the Ateko air ) or from the clean rooms CRH and CR1.
An additional line is connected to the Borexino highpurity nitrogen (HPN 2 ) system, which is practically radonfree -its 222 Rn content is below 1μ Bqm −3 [16]. HPN 2 was used to flush the detector and measure its background. Ateko air and HPN 2 are available at high pressure of about 7 bar. The gas lines connected with CRH and CR1 are not pressurized, therefore the air has to be additionally sucked through the detector by a dedicated vacuum pump installed at the detector outlet (see Fig. 4). A burst disc (0.5 bar) prevents a sudden and uncontrolled pressure increase, which could damage the system. In the construction of the detector vessel and the control panel, only full-metal components (valves, tubing) and metal-sealed joints/flanges (VCR, CF) were used in order to reduce the internal 222 Rn emanation.

Signal readout
The radon monitor is operated in harsh environmental conditions. The analogue signal readout path is therefore susceptible to electronic noise pickup, despite the full metal box enclosure and use of an additionally filtered, low noise, high voltage power supply. The electronic noise may come from the high power electrical equipment installed in the Hall C of LNGS (like powerful fluorescent lights, heavy-load cranes, proximity to the radon abatement system, air conditioning systems, etc.), or residual micro-discharges occurring in the vessel. The noise sources usually induce fake pulses. Their shapes differ from the shapes of signals induced by alpha decays. They often have spikes, a leading or trailing negative undershoot or are followed by a poorly shaped after-pulse.
Vetoing of the invalid pulses is difficult using analogueonly components. Some techniques have been proposed to veto such events [17], but they require additional readout electronics, often interfacing the high voltage electrode of the detector vessel. A simple and inexpensive method of pulse shape digitization and analysis was employed in our design, allowing for powerful discrimination between the positive signals coming from alpha decays and fake pulses generated by the noisy environment. Additionally, the method does not require any modifications of the existing readout electronics, especially readout of the high voltage signal (i.e., from anode), and thus may be applied directly to existing set-ups as a simple upgrade.
Micro-discharges caused by the high voltage bias of the detector vessel may induce pulses of oscillating character, or exhibit spikes often saturating the preamplifier. Depending on the location of the discharge, or the character of other disturbing events, the rise time of pulses observed at the output of the charge sensitive preamplifier may also be longer, accompanied by other features like spikes, undershoots etc.
Shaping amplifiers are usually designed to produce "semi-Gaussian" pulses for the typical output pulses of the charge-sensitive preamplifiers (producing exponential decay), because their output crudely approximates a Gaussian curve. Any deviation from the semi-Gaussian pulse shape may be an indication of a poorly formed input pulse, that may not originate in a typical interaction of an alpha particle, but due to a limited bandwidth of shaping amplifiers details of (malformed) pulses are often lost. Such pulses shaped by the shaping amplifier without any additional vetoing system, may have energies reconstructed by a Multi Channel Analyzer (MCA) often falling into the range of 214 Po or 218 Po alpha decay energies.
In our setup the Ortec diode is read-out by a single-channel charge-sensitive preamplifier (CAEN A1422), matched to the silicon detector capacitance. Next, the pulses are directly digitized by a dedicated analogue to digital converter (ADC, 12-bit, up to 7.2 Megasamples/s of sampling speed) built in a microcontroller. The data is sent in real time to a computer. The pulse shape digitizer, together with the control software on a PC function as an MCA, producing the energy spectra of the registered alpha particle (after pulse shape discrimination and digital reconstruction of the event energy).
The Pulse Shape Discrimination (PSD) technique applied to the recorded pulses, and used here to distinguish between the proper (valid) pulses and the fake (invalid) pulses, is simple. The output pulses of the charge sensitive amplifier ideally have a sharp leading edge and the exponential decay for the events induced by nuclear interactions (mostly alpha and beta particles). At the same time, majority of the fake  events, generated by the (electronic) environmental noise, depart from the ideal shape, having additional features like under-or overshoots, lower rise times, spikes, induced noise (pick-up), ringing, etc. Figure 5 shows three recorded pulses of different origins for a comparison. As an example, a microdischarge generated pulse exhibits a sharp spike on the leading edge (Fig. 5, trace A), and slow rise time of the following part. A valid pulse of nearly the same reconstructed energy is shown as trace B. An analogue MCA would register both pulses as valid. Additionally, some electromagnetic induced noise pulses (trace C) populate the lower part of the alpha particle energy spectrum. In an analogue analysis path, a high threshold is required to reject such pulses. The labels A, B, C correspond to the plots shown in Fig. 7, where the pulse parameters are mapped to their reconstructed energy and PSD parameter values.
The PSD analysis is based on two signal features extracted from the digitized pulses. Each feature is assigned a properly scaled measure between 0 and 0.5. Overall PSD parameter of an event is a sum of the two values.
The first parameter is simply the pulse rise time at the trigger position. The digitized pulse is low-pass filtered to remove the excess high frequency noise. The filtered pulse is then used to compute the rise time. A typical value of the rise time for valid pulses is on the order of 200 ns, corresponding to one ADC sample (the sampling rate of the ADC used was 4.8 Megasamples/s).
The second pulse shape feature, used in the PSD analysis is based on the comparison of the original pulse shape with the filtered one (low-pass). Firstly, the difference between the two versions of the pulse is calculated yielding a residuum of the pulse. Next, sum of absolute sample values of the residuum is computed and appropriately scaled. The sum values close to 0 correspond to smooth, valid pulses without excess noise or spikes. For pulses having sharp spikes, often caused by micro-discharges, or electromagnetic noise, the sum becomes significant.
Both pulse shape quality measures are scaled to the range 0-0.5 such that 0.5 in both cases corresponds to an ideal pulse shape induced by an alpha particle (sharp leading edge, no excess noise). The sum of the quality measures yields the PSD parameter for each event falling in the range 0-1. Next, pulses with the PSD values below a certain threshold are rejected from further analysis, and do not contribute to the alpha particle energy spectrum. Both algorithms are computationally inexpensive, and easily applicable for the analysis of the recorded data.
The cut threshold value was determined experimentally by collecting large statistics calibration data with reduced high voltage (down to 4 kV) applied to the detector vessel (where the majority of recorded pulses was produced by alpha particles, Fig. 6) and long-term background measurement data with nominal high voltage (8 kV) applied to the detector vessel (Fig. 7). In the latter case a number of recorded pulses clearly exhibited distorted shapes, like spikes or slow rise times. Both pulse groups were then used to determine the upper and lower bounds for the PSD cut parameter: majority of the valid pulses was assigned the PSD parameter above 0.78, while most of the invalid pulses have values of the PSD parameter below 0.73. Therefore the PSD cut was arbitrarily set at 0.75, independent of the pulse energy. It was observed that only a small fraction of valid PSD pulses was rejected by the algorithm (conservatively less than 0.5% -see single events below the Po lines in Fig. 6), insignificant for an analysis usually bearing a statistical error of 30% (see Sect. 4.3.3). Therefore the PSD algorithm efficiency is P S D ≈ 100%.
The final alpha particle energy spectrum is constructed after application of the PSD cut, thus allowing us to operate the detector with high voltages biasing the vessel, without spectrum distortions from micro-discharges.

Slow control and monitoring
The entire system is monitored by dedicated slow control software allowing remote access to all devices, check of their status and change of parameters. Accessible are: the HHV unit, the oscilloscope (for the control of pulse shapes in case of, e.g., problems caused by excess noise), the mass flow controller, the vacuum/pressure gauges and the pulse digitizer. The pulse digitizer records, analyzes and displays the energy spectrum of the detected alpha particles. Another program displays the 222 Rn concentration in real-time. Based on the 218 Po or 214 Po activities, a corresponding 222 Rn specific activity is calculated and plotted as a function of time.   Fig. 7 Example background data collected with high voltage applied to the detector vessel. The high energy range (approximately above 1 MeV) is populated by real events stemming from the background activity of the detector and by energetic micro-discharges. For the latter, the PSD analysis yields PSD values well below 0.5. One of such events is shown in Fig. 5, labeled on the PSD plot as A. Without the PSD analysis, this type of events would contribute to the detector background in the region of 218 Po 6 MeV alpha line (labeled B). Events generated by electromagnetic noise, usually having energy below MCA channel 200, are assigned PSD values lower than 0.75 (labeled C)

Calibration
A dry calibration source in a form of 226 Ra electroplated on a stainless steel disc was permanently connected to the control panel (see Fig. 4). This allowed easy calibration checks by circulating the gas in a closed loop. The activity of the dry calibration source is (45 ± 2) mBq.
The measurement of the overall detection efficiency was done with the vessel filled with the Ateko air using the built-in 222 Rn dry source. This measurement was particularly impor-tant since the 218 Po and 214 Po ion collection efficiencies depend on the neutralization processes by chemical agents. Presence of water, hydrocarbons and other electronegative molecules in the air sample neutralizes the ions before they may be collected on the alpha detector [18]. Therefore the detection efficiency calibrations were performed in the same experimental conditions as the further measurements.
A ratio R of the 214 Po to 218 Po count rates could be used as an indicator of the gas purity [7] and to compare the conditions of different measurements. R approaches 1 if neutralization of 218 Po is rather small and almost all ions reach the alpha detector surface. Else, the 214 Po count rate is higher since there is an additional collection channel of ions within the decay chain between 218 Po to 214 Bi. In our case, the ratio R of the two Po isotope count rates was always very close to 1, so 222 Rn content in the sampled air was determined directly from the registered Po count rates. We were performing calibrations with the dry source directly before or after the radon assays.
The initial calibration also served two other purposes: -determination of the optimal high voltage applied to the detector vessel, -determination of the energy scale for the (digital) multichannel analyzer.
The obtained calibration spectrum (PSD algorithm applied), recorded after the equilibrium between 222 Rn and the daughters had been reached -3 h after radon injection, is shown in Fig. 8. The 218 Po and 214 Po peaks are of the same intensities indicating, as expected, air of high purity (the abatement system removes water, CO 2 , CO and particulate matter from the air). The high voltage potential applied to the detector vessel was 8 keV. For higher voltages, up to 20 kV, the count rate under both Po peaks increased by about 12-15%, but above 9 kV a visible increase of electronic noise has been observed (populating the low-energy part of the spectrum and slightly worsening the detector energy resolution). It was still easily cut-off by the PSD algorithm and setting higher discrimination threshold for the ADC, but taking into account relatively small gain in the count rates we decided to operate the detector at the HHV = 8 kV, 3 also not to risk any failures of the semiconductor detector or the HHV system. The overall absolute detection efficiency ( ) for 218 Po and 214 Po in Ateko air was the same and equal to (36 ± 3)%. In general, the detection efficiency = col geo P S D , where col is the collection efficiency of ions on the active surface of the alpha detector, and geo is the geometrical detection efficiency (probability to register an alpha decay of ion present on the detector's surface). PSD efficiency is ≈ 100%. Since geo ≈ 50% (2π geometry), one gets col ≈ 72%. The ion collection efficiency is lower than the estimated 90% (see Sect. 4.1), as only a fraction of 218 Po retains charge right after alpha decay of 222 Rn. Taking the fraction of freshly formed and positively charged 218 Po equal to approximately 87.3% [19], the expected efficiency of our setup becomes 78.6%, close to the measured collection efficiency of 72%. Also, some of the ions neutralize before reaching the detector, therefore their decays cannot be registered. Additional calibrations were performed for HPN 2 and yielded similar results.
The achieved energy resolution (FWHM) for the 6 MeV peak ( 218 Po) was better than 40 keV, comparable to the man- 3 For other sampled gases different HHV would have to be used. ufacturer's specification of the diode (35 keV for 5.5 MeV alphas). Slightly worse resolution was caused by rather high electronic noise level in Hall C of LNGS, where the detector is operated. Nevertheless the digital energy reconstruction proved to work well on the noisy signals. The resolution allowed to easily resolve all the peaks originating from 222 Rn/ 220 Rn and their daughters (see Fig. 9).

Background
After calibration, the detector background was measured for two different operating modes. In the first case, after thorough flushing of the detector vessel with HPN 2 it was closed at a slight overpressure (930 mbar, the ambient pressure in Hall C is about 900 mbar) and the Po count rates were recorded over time, as shown in Fig. 10. The observed increase during almost 4 weeks (plotted for 218 Po) is a result of the buildup of radon emanated from the detector vessel and other components (the fitted curve reflects the 222 Rn in-growth time) with the saturation value of (61.6 ± 1.0) cpd, corresponding to an absolute activity of (2.0 ± 0.2) mBq. This value is higher than expected (e.g. from scaling up the blank value of 0.15 mBq of an 80 L full-metal electropolished emanation chamber [1], one gets about 0.8 mBq), but the mounting of the detector was not done in the best possible conditions (e.g. in a clean room). The same concerns construction of the gas control panel, which happened in an open space in LNGS Hall C. The second measurement was performed during continuous flushing of the detector with high purity nitrogen at the rate of 5 L min −1 (a slight overpressure was maintained in the detector vessel). This mode of operation (continuous flushing) was used for all measurements of 222 Rn content in sampled gases, therefore the obtained here count rates are . In order to minimize the activity build-up from the detector self-emanation and to maximize air mixing in the chamber we had to maximize the airflow. The cumulative spectrum acquired over 24.8 d is shown in Fig. 9. Clearly the 210 Po peak dominates ( 210 Po accumulated on the detector surface from the air exposures and from the previous tests with 222 Rn sources). Beside 218 Po and 214 Po, peaks are also visible from the 220 Rn decay chain. The registered 220 Rn and 222 Rn cannot come from the high purity nitrogen ( 222 Rn concentration in HPN 2 is below 1 μ Bq m −3 , thus not measurable by this monitor), but from internal emanation and imperfect flushing with HPN 2 . The measured count rates in the energy regions for 218 Po, 214 Po and 210 Po were (6.4 ± 0.5) cpd, (3.0 ± 0.4) cpd and (59.9 ± 1.6) cpd, respectively.

Sensitivity
The sensitivity of the detector can be discussed in terms of the minimum measurable activity (MMA) [4]. It is defined as the activity measurable with a given instrument for assumed a priori precision. Following the formalism presented in [2,20], MMA can be calculated from the measured background count rate B for a given isotope (in our case 214 Po) and for the known detection efficiency . The minimum measurable activity (A 0 ) can be evaluated starting from the formula expressing the final relative uncertainty of the measurement: where σ A 0 is the standard deviation of A 0 , and δ is the assumed relative uncertainty. A 0 and σ A 0 can be expressed by the total number of 214 Po counts N registered in the counting time interval Δt, including also the background count rate B: Calculation of σ A 0 takes into account the uncertainties of the detector background σ B and the uncertainty of the detection efficiency σ .
The final formula for A 0 is the following: where δ = σ / . Taking into account that C min = A 0 /V , where V is the volume of the detector vessel and the parameters determined above for 214 Po, requiring δ = 0.3 and assuming Δt = 24h ( 222 Rn concentration monitored in 1-d bins) one can find that the minimum measurable specific 222 Rn activity for our detector is C min = 1.1 mBq m −3 .
One should note here that the obtained C min is not a detection limit -this is still a number with a specified a priori uncertainty. For calculation of the latter we adopt the formula from [6] (to be able to compare directly different detectors). The 90% confidence level (CL) detection limit L C is given as: where C F [cpd/(mBq/ m 3 )] is a calibration factor defined as a ratio of the registered count rate to the real radon concentration in the detector. In our case C F = 13.9 cpd/(mBq/ m 3 ) and σ B = 0.4 cpd, thus L C = 0.05 mBq m −3 . For the fixed δ = 0.3 one can still improve (lower) the C min below 1 mBq m −3 by reducing e.g. the detector background (additional cleaning of the detector vessel, higher HPN 2 flow rate) or by improving the detection efficiency. As discussed earlier, in the present geometry by increasing HHV up to e.g. 15 kV, it is possible to reach ≈ 0.41-0.42. With a simultaneous detector background reduction by a factor of e.g. 2 one could get C min ≈ 0.7 m Bq m −3 , a 36% improvement over the current value of 1.1 m Bq m −3 . Correspondingly, the detection limit would also improve.
The most important parameters of the detector are collected in Table 1.

Results
Radon concentration has been measured sequentially from the air immediately at the output of the Ateko radon abatement system (Ateko air ) and the air from both clean rooms following the installation of the radon monitor. Selected results are collected in Table 2.
As the first sample we measured the air taken directly from the radon abatement system shortly after its installation at LNGS. The test gave (15 ± 2) mBq m −3 . After some upgrades of the plant, another measurement was performed and yielded (1.4 ± 0.4) mBq m −3 . At the same time the Alpha Guard instrument monitoring 222 Rn content in Hall   Fig. 11 An example of the 222 Rn content monitoring in the CRH clean room over a weekend, evaluated every 4 h. CRH was generally unoccupied. The two highest values shown in the plot were recorded after a person entered the room for about 1 hour. After excluding these two measurements the average specific activity of the clean room was (4.6 ± 0.6) mBq m −3 (horizontal lines) C showed about 50 Bq m −3 . The achieved radon reduction factor was thus ≈ 3.6 × 10 4 .
Measurements of the air sampled from CRH were also performed in parallel. The measured activities of 222 Rn ranged between 6 and 36 mBqm −3 . Activity of personnel working inside the clean room was clearly visible as an increased 222 Rn content in the sampled air. An example of such events is shown in Fig. 11. The reported 222 Rn content for the clean room reflects the total activity, including also 222 Rn introduced by the personnel.
Measurements performed on samples taken from CR1 yielded between 200 mBq m −3 and 5100 mBq m −3 , clearly higher compared to the values obtained for CRH. The volumes of the clean rooms are comparable (the CR1 surface is 62 m 2 and its volume approximately 186 m 3 , the CRH surface is 38 m 2 and its volume approximately 208 m 3 ). The higher 222 Rn concentration in CR1 may be related to its positioning directly on the floor of Hall C causing some emanation through imperfect seals of the floor panels (for reference, CRH is not in contact with the floor or wall of the underground cavern). In addition, CR1 experienced a ∼ 10-fold increase in radon concentration in 2016-17 with respect to 2014. This increase might be ascribed to a higher accumulation of equipment inside it, general contamination of the clean room once DARKSIDE-50 was installed and running, and personnel activities at different time periods during the 5 years of continuous measurements.

Summary
We have installed and commissioned an electrostatic 222 Rn detector able to monitor the radon content in air at the output of the Ateko radon abatement system and sampled from CRH and CR1 operated by the DARKSIDE-50 Collaboration. The care in design and construction allowed to reach the minimum measurable specific activity of 1.1 mBq m −3 and a record detection limit of about 0.05 mBq m −3 . The mea-