the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
The saturation vapor pressures of higher-order polyethylene glycols and achieving a wide calibration range for volatility measurements by FIGAERO-CIMS
Abstract. The Filter Inlet for Gases and AEROsols coupled with a Chemical Ionization Mass spectrometer (FIGAERO-CIMS) is a widely used method for determining the chemical composition of the molecular constituents of atmospheric organic aerosols (OA). This temperature-programmed desorption technique thermally desorbs OA in a linearly ramped desorption temperature, and the temperature at a detected molecule’s peak desorption rate, Tmax, is proportional to the molecule’s volatility. Thereby, FIGAERO-CIMS also enables a direct measurement of the volatilities (saturation vapor pressures) of the OA constituents. A series of polyethylene glycols (PEGs) have been used to quantitatively connect FIGAERO measurement results (in particular Tmax) to volatilities (i.e., calibrate). However, available literature values of saturation pressure (Psat) or saturation mass concentration (C*) for these compounds only extend to PEG 9, which exhibits Tmax values around ~90 °C, whereas Tmax values of OA constituents routinely reach up to 150 °C. To extend the region over which we can conveniently calibrate FIGAERO-CIMS, and hypothetically also other thermal desorption-based techniques for investigating OA composition and volatilities, we performed FIGAERO-CIMS calibration experiments using aerosol particles consisting of PEGs 5–15, which yielded Tmax values of up to ~150 °C. We then set out to estimate the hitherto unknown Psat (C*) values of PEGs 10–15 by utilizing suite of different Psat estimation methods: both measurement-independent methods (quantum chemistry-based calculations, molecular structure-based group contribution methods, and parametrizations based on molecular sum formulas) and fits of an explicit desorption model to our FIGAERO measurement results, with C* and vaporization enthalpies as free parameters. We assess the respective suitability of each method and argue that we obtain the best estimates for PEG volatilities based on the fits to our measurements. We obtained log10(C* (µg m–3)) values ranging from 0.51 ± 0.07 (PEG 6) to –9.2 ± 1.6 (PEG 14), while agreeing with previous literature results on PEGs <10. Our results broadly continue the log-linear relationship of C* with PEG mass for larger PEGs and also agree with some of the independent methods. Contrary to common assumptions in previous literature on FIGAERO results, we find that the relationship between log10(C* (µg m–3)) and measured Tmax is not linear. We explore the consequences of that finding on the analysis of previously published FIGAERO-CIMS measurements of sesquiterpene-derived OA. Prospects for improving on our results in future work are discussed. We conclude that calibration experiments using aerosol containing PEGs up to ~PEG 15, with now-known saturation vapor pressures, provide promising opportunities for constraining the volatilities of aerosol constituents, down throughout the range of extremely low-volatility organic compounds (ELVOC, C* < 3×10–4 µg m–3), as detected not only via FIGAERO-CIMS but also other (online) temperature-programmed desorption techniques.
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RC1: 'Comment on egusphere-2025-2219', Anonymous Referee #1, 30 Jun 2025
General Comments
This study addresses the important challenge of calibrating the FIGAERO-CIMS instrument for measuring the volatility of organic aerosol (OA) constituents, particularly for extremely low-volatility compounds (ELVOCs). Current calibrations typically rely on polyethylene glycols (PEGs) up to PEG-9, which limits the lower end of the volatility range. The authors extend this range by including PEGs up to PEG-15, thereby significantly improving calibration coverage.
The experiments are thoroughly conducted, with desorption temperatures (Tmax) carefully measured and reported. The authors also compare a comprehensive range of methods for estimating the vapor pressure (C*) of PEGs. The experimental results, vapor pressure estimates, as well as the discussion, provide valuable insights—not only for FIGAERO-CIMS users but also for the broader community using thermal desorption-based volatility measurements.
I strongly recommend the manuscript for publication, but I have a few comments and suggestions for clarification and improvement:
Specific Comments
(1) The conclusion regarding the linearity between C* and PEG number is somewhat misleading. A linear relationship should not be expected, and in fact, non-linear behavior is well documented in various parameterizations (e.g., L2016, S2018, M2019 in this study). In addition, different conformers of the same PEG molecule can exhibit varying intermolecular interactions, leading to different saturation concentrations. This is actually illustrated in Figure 1: the best-performing estimation methods (desorption model, COSMO-RS, MGM) show that C* values for larger PEGs tend to be non-linear and above the dashed line, contrasting with other parameterization methods.
Instead, the relationship between C* and the measured Tmax is more direct. In Figure 2, when considering the uncertainties in C* (as shown in Figure 1), the linear fit is not significantly worse than other fits. Furthermore, it is somewhat confusing that the Tmax values in Figures 1 and 2 are taken from two measurements (presumably A and B?), but C* from the desorption model is the averaged value from A, B, and C. Would it not be better to use the average T_max from all three measurements (A, B, and C) for consistency? Also, I am curious about the uncertainty of Tmax, which is not clearly mentioned.
(2) Please clarify whether the reported mass loading refers to individual compounds or the total mass, and maybe more important which one is more essential or more related to Tmax. It is unclear whether low mass loading (< 105 ng) could influence Tmax. If this is a potential factor, it should be discussed.
Technical Comments
Line 21: It’s unclear where the "150 °C" value comes from. This is described more clearly in Lines 75–76. Please ensure consistency across the manuscript.
Line 35: Instead of "now-known," consider using "best-estimated" for clarity and specificity.
Line 77: The sentence suggests methods were used to improve measurement accuracy. It would be more accurate to say that different methods were used to improve the prediction of vapor pressures.
Line 159: Remove "experimental".
Figure S1: It is unclear how the uncertainties for the magenta crosses were derived. The legend notes that the yellow crosses represent the model fits of C* (rather than ΔH) to experiments.
Citation: https://doi.org/10.5194/egusphere-2025-2219-RC1 - AC1: 'Reply on RC1', Arttu Ylisirniö, 27 Aug 2025
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RC2: 'Comment on egusphere-2025-2219', Anonymous Referee #2, 15 Jul 2025
The study discusses calibration of the saturation vapor pressures of the FIGAERO-CIMS using the PEGs. The size range of the PEGs employed for the study was maximally up to PEG-15. Employment of the wide range of sizes of PEGs is the key novelty of the study. Since the experimental data for saturation vapor pressure of the PEGs with large sizes are unavailable, the authors employed various types of numerical approaches for estimating it. The desorption temperature of the PEGs was related with saturation vapor pressures using an empirical equation. The experiment was conducted sufficiently carefully. The manuscript is well-organized, and easy to follow. I suggest publication of this manuscript after the authors address the following comments.
Temperature and saturation vapor pressure
The FIGAERO-CIMS retrieves volatility by heating the sample. I believe that standard temperature for saturation vapor pressure for the study would be around 20–25 °C, while desorption temperature is much higher. For relating desorption temperature with saturation temperature, enthalpy for evaporation (Delta_H) of the calibrants and actual samples would play important roles. It would be great if the authors could explain why desorption temperature of the PEGs could be related with volatility of atmospheric (relevant) organic matter in more detail.Typos and grammatical issues
There are some typos and grammatical issues with the manuscript. It may be a good idea to use a software or an online tool for checking the manuscript.Citation: https://doi.org/10.5194/egusphere-2025-2219-RC2 - AC2: 'Reply on RC2', Arttu Ylisirniö, 27 Aug 2025
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