# Differentiating between Euro 5 gasoline and diesel light-duty engine primary and secondary particle emissions using multivariate statistical analysis of high-resolution mass spectrometry (HRMS) fingerprints

Camille Noblet, Francois Lestremau, Adrien Dermigny, Nicolas Karoski, Claudine Chatellier, Jérôme Beaumont, Yao Liu, Boris Vansevenant, Jean-Luc Besombes, Alexandre Albinet

► To cite this version:

Camille Noblet, Francois Lestremau, Adrien Dermigny, Nicolas Karoski, Claudine Chatellier, et al. Differentiating between Euro 5 gasoline and diesel light-duty engine primary and secondary particle emissions using multivariate statistical analysis of high-resolution mass spectrometry (HRMS) fingerprints. Aerosol Research, 2025, 3 (2), pp.569-587. 10.5194/ar-3-569-2025. hal-05445917

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# Differentiating between Euro 5 gasoline and diesel light-duty engine primary and secondary particle emissions using multivariate statistical analysis of high-resolution mass spectrometry (HRMS) fingerprints

Camille Noblet¹,², Francois Lestremau¹,³, Adrien Dermigny¹, Nicolas Karoski¹, Claudine Chatellier¹, Jérôme Beaumont¹, Yao Liu⁴, Boris Vansevennant⁴, Jean-Luc Besombes², and Alexandre Albinet¹

¹Institut National de l'Environnement industriel et des RISques (Ineris), 60550 Verneuil en Halatte, France

²Université Savoie Mont-Blanc, EDYTEM, 73000 Chambéry, France

³HSM, Univ Montpellier, IMT Mines Alès, CNRS, IRD, 30100 Alès, France

⁴Université Gustave Eiffel, Univ Lyon, AME-EASE, 69675 Lyon, France

**Correspondence:** Francois Lestremau (francois.lestremau@mines-ales.fr) and Alexandre Albinet (alexandre.albinet@ineris.fr)

Received: 4 August 2025 – Discussion started: 13 August 2025

Revised: 22 October 2025 – Accepted: 29 October 2025 – Published: 27 November 2025

**Abstract.** Emissions from gasoline and diesel vehicles are predominant anthropogenic sources in ambient air, and their accurate source apportionment is a major concern for air quality policymakers aiming to implement effective strategies to reduce air pollution. Recent studies indicate that particulate matter (PM) emissions from modern cars equipped with the latest after-treatment technologies are mainly related to secondary organic aerosol (SOA) production, particularly in the case of gasoline vehicles. However, distinguishing between emissions from gasoline and diesel vehicles in ambient air remains challenging and is rarely achieved. This study aimed to evaluate the potential of non-targeted-screening (NTS) analyses for determining specific organic molecular markers of primary organic aerosol (POA) and SOA from gasoline and diesel vehicles, which could enhance PM source apportionment efforts. Experiments were conducted using a chassis dynamometer with Euro 5 gasoline and diesel vehicles under three different driving cycles. Exhaust emissions were diluted before being introduced into a potential aerosol mass oxidation flow reactor (PAM-OFR) to simulate atmospheric ageing and SOA formation. Samples were collected both upstream and downstream of the PAM-OFR and analysed using NTS approaches with liquid- and gas-chromatography coupled to quadrupole time-of-flight mass spectrometry (LC- and GC-QToF-MS). The chemical fingerprints obtained were compared using multivariate statistical analyses, including principal component analysis (PCA), hierarchical clustering analysis (HCA), and partial least-square discriminant analysis (PLS-DA). Results revealed specific fingerprints of POA and SOA for each type of vehicle tested and about 10 markers unique to each fraction of diesel and gasoline vehicles. This study demonstrates the promise of combining high-resolution mass-spectrometry-based NTS with advanced multivariate statistical analyses to differentiate between OA fingerprints and to discover specific markers of diesel and gasoline vehicular sources for further use in PM source apportionment studies.
# 1 Introduction

Vehicular exhaust emissions are a major source of pollutants in ambient air and are therefore associated with significant health impacts (Eastwood, 2008; Khomenko et al., 2023; Pant and Harrison, 2013). Significant efforts have been undertaken to reduce polluting emissions, particularly through the implementation of stricter vehicle emission standards, such as the EURO standards. To meet these requirements, several technological advancements have been introduced, including in terms of fuel formulations; combustion processes (e.g. direct injection); and exhaust after-treatment systems, such as three-way catalyst (TWC), selective catalytic reduction (SCR), diesel oxidation catalysts (DOCs), and diesel particulate filters (DPFs). These systems have led to substantial reductions in primary pollutant emissions (Bessagnet et al., 2022; Fiebig et al., 2014; Maricq, 2023). For instance, the introduction of DPFs into EURO 5 diesel vehicles since 2009 enabled a reduction of more than 90% in primary particulate emissions (Bergmann et al., 2009; Fiebig et al., 2014; Maricq, 2023). More recently, gasoline vehicles have also been equipped with gasoline particulate filters (GPFs) to effectively reduce particulate emissions from gasoline direct-injection (GDI) engines (Joshi and Johnson, 2018; Maricq, 2023). However, even modern engines continue to emit significant amounts of volatile and semi-volatile organic compounds (VOCs and SVOCs), which undergo atmospheric oxidation and condensation processes to form secondary organic aerosols (SOAs) accounting for a substantial fraction of fine particulate matter (PM) in ambient air.

Several recent smog chamber studies have suggested that the quantity of SOAs formed in the atmosphere is significantly higher than the primary PM emissions for the most modern vehicles (Chirico et al., 2010; Gentner et al., 2012, 2017; Gordon et al., 2014; Karjalainen et al., 2016; Kuittinen et al., 2021; Robinson et al., 2007; Tkacik et al., 2014). This effect is particularly pronounced in gasoline engines compared to in modern diesel vehicles equipped with DPFs (Gentner et al., 2012, 2017; Hartikainen et al., 2023; Kostenidou et al., 2024; Platt et al., 2017). Thus, to develop effective strategies for reducing air pollution, it is crucial to distinguish between emissions from gasoline and diesel vehicles, as well as between primary and secondary particulate emissions, to accurately evaluate their respective contributions to ambient air PM levels.

Source-receptor models are widely used to estimate the contributions of various source types, including vehicular emissions (Hopke et al., 2020). However, only a limited number of studies have attempted to distinguish between emissions from gasoline and diesel vehicles. Most of these studies rely on the chemical mass balance (CMB) approach, utilizing traditional aerosol chemical speciation such as elemental carbon (EC), organic carbon (OC), major ions, and metals or incorporating a set of organic species like polycyclic aromatic hydrocarbons (PAHs), hopanes, cholestanes, and n-

alkanes (Al-Naiema et al., 2018; Gertler, 2005; Heo et al., 2013; Srimuruganandam and Nagendra, 2012; Wang et al., 2012). Nevertheless, the commonly used source profiles of gasoline and diesel vehicular emissions remain highly uncertain and should be regarded as approximations (Lough et al., 2007). Indeed, selecting representative profiles in CMB for modern vehicle emissions can be challenging (Bray et al., 2019; Hopke et al., 2020; Karagulian et al., 2015; Pernigotti et al., 2016; Simon et al., 2010; Viana et al., 2008). While positive matrix factorization (PMF) models mostly gave a global factor for vehicular emissions due to the lack of specific source markers (tracers) and the often similar temporal patterns (Dallmann et al., 2014; Wang et al., 2017; Wang and Hopke, 2013; Watson et al., 1994), some studies used of a combination of chemical speciation with some VOCs (propane, butane, pentane) to better quantify the contributions of gasoline and diesel vehicles (Lambe et al., 2009; Thornhill et al., 2010; Wong et al., 2020). However, these approaches remain underutilized and are often challenging to apply in urban environments with multiple contributing sources. The distinction between gasoline and diesel emissions in source-receptor models is further complicated by the shared emission of many inorganic and organic compounds and the lack of specific markers unique to either source. Recent studies have suggested 1-nitropyrene as a promising marker for diesel emissions (Keyte et al., 2016; Schulte et al., 2015; Zielinska et al., 2004), and some authors have attempted to incorporate it into PMF source apportionment (Lanzafame et al., 2021; Srivastava et al., 2018, 2019, 2021). Finally, even though SOAs become the dominant fraction of organic aerosols emitted by modern vehicles, the identification of specific SOA markers for gasoline or diesel emissions remains unachieved to date.

The emergence of high-resolution mass spectrometry (HRMS) has revolutionized the study of OAs by enabling the acquisition of highly accurate and detailed mass data (Laskin et al., 2018; Nizkorodov et al., 2011; Nozière et al., 2015). The application of non-targeted analysis strategies (NTSs) with HRMS has facilitated the detection of hundreds to thousands of unique compounds in ambient air or combustion emissions, driving significant research efforts to highlight novel pollutants without prior knowledge (Avagyan et al., 2016; Manz et al., 2023; Röhler et al., 2020, 2021; Vogel et al., 2019; Xu et al., 2021). Despite this progress, relatively few studies have fully exploited the potential of untargeted HRMS analyses to determine specific markers or chemical signatures for OA source apportionment purposes. By combining HRMS data with multivariate statistical techniques such as principal component analysis (PCA) or partial least-square discriminant analysis (PLS-DA), NTS strategies allow the comparison of chemical fingerprints obtained from different experimental conditions and potentially discover key substances of interest. Few examples are described in the literature demonstrating the utility of this approach for pinpointing markers – or chemical fingerprints – specific to
primary or secondary OA sources (Huo et al., 2021; Mu et al., 2019; Noblet et al., 2024; Thoma et al., 2022; Weggler et al., 2016).

The objective of this work was to assess the potential of NTS analyses to highlight differential chemical features (markers) of primary organic aerosols (POAs) and SOAs from gasoline and diesel vehicles. Experiments have been conducted using a DPF-equipped diesel vehicle and a GDI vehicle. Both vehicles have been operated over ambient- and hot-start driving cycles to simulate typical urban driving conditions. The diluted emissions have been photo-oxidized in a potential aerosol mass oxidation flow reactor (PAM-OFR) to investigate the formation of secondary PM. Collected samples were analysed using both liquid- and gas-chromatography high-resolution mass spectrometry (LC-HRMS and GC-HRMS), enabling comprehensive profiling of polar and nonpolar organic compounds (Haglund et al., 2024; Huo et al., 2021; Moschet et al., 2017, 2018; Rostkowski et al., 2019). The resulting data were processed using computational tools and multivariate statistical analyses to compare the chemical signatures and to reveal potential chemical features (markers) for differentiating between primary and secondary emissions from the two vehicular sources.

# 2 Material and methods

## 2.1 Vehicles tested, driving cycles, and fuels

A EURO 5 GDI vehicle and a EURO 5 diesel vehicle were utilized in this study. The gasoline vehicle was equipped with a TWC (but without a GPF), while the diesel vehicle featured a DOC and a DPF as part of its exhaust after-treatment systems. Additional vehicle details are provided in Table S1 in the Supplement. Both vehicles were tested on a chassis dynamometer under three driving cycles: the worldwide harmonized light-vehicle test cycle (WLTC) (Tutuianu et al., 2015) and the common Artemis driving cycles (CADCs) for urban and motorway (MW) driving conditions (Andre, 2004; Andre et al., 2006). Speed-time profiles for these cycles are shown in Figs. 2 and S10–S11.

To replicate real-world driving conditions and to account for variability in emissions, different engine starting conditions were used. WLTCs were conducted under ambient-start temperature conditions (first cycles of the day), whereas CADCs (urban and motorway) were performed with warmed-up engines. Each vehicle completed the ambient-start WLTC twice, while both hot-start CADCs were repeated four times. Since vehicle emissions are highly influenced by driving conditions, particularly engine start-up temperatures (Chirico et al., 2010; Karjalainen et al., 2016; Kuittinen et al., 2021; Yusuf and Inambao, 2019), two consecutive CADCs with warmed-up engines were conducted to collect sufficient material for chemical analysis. All tests were conducted using commercial gasoline and diesel that

adhered to summertime fuel standards. Additional information on fuel composition is provided in Table S2.

## 2.2 Sampling setup

Figure 1 illustrates the experimental setup used in this study. Each vehicle was operated on a chassis dynamometer according to the various tested driving cycles. Exhaust emissions were collected directly from the tailpipe using a thermally insulated and externally heated exhaust transfer line maintained at 120 °C. The exhaust was then diluted using a Dekati Fine Particle Sampler 4000 (FPS) system, with the primary dilution temperature set to 120 °C. The total dilution ratios were calculated from CO₂ measurements both at the emission source and after dilution. For the gasoline vehicle, dilution ratios ranged from 18 to 43, while, for the diesel vehicle, they ranged from 16 to 30.

A potential aerosol mass oxidation flow reactor (PAM-OFR) was installed downstream of the dilution system to evaluate secondary aerosol formation by exposing emissions to hydroxyl radicals (OH) throughout the driving cycles (Kang et al., 2007; Lambe et al., 2011). The PAM-OFR was operated at a flow rate of approximately 9.0–9.5 L min⁻¹, corresponding to an average residence time of 84–88 s. The temperature inside the PAM-OFR ranged from 25 to 35 °C for the diesel vehicle and from 26 to 30 °C for the gasoline vehicle. Vehicular emissions were humidified using a Nafion membrane humidifier (Permapure LLC, FC100-80 Series, 15 cm, stainless steel), achieving relative humidity levels inside the PAM-OFR of 37 %–52 % for the diesel vehicle and 48 %–50 % for the gasoline vehicle. OH radicals were generated using four UV lamps (λ = 185 and 254 nm). The PAM-OFR operated in OFR185 mode (Li et al., 2015; Peng and Jimenez, 2020), where O₂ is photolyzed at 185 nm to produce O₃, which is then photolyzed at 254 nm to generate O(¹D) that reacted with H₂O to produce OH radicals. During all experiments, the lamp voltage was set to 2.5 V, and the irradiation, measured via a photodiode inside the PAM-OFR, remained constant. OH exposure was determined during spare experiments by continuously measuring the decay of SO₂ (200 ppb) using an SO₂ analyser (AF 21 M, Environnement S.A.) following the method outlined by Lambe et al. (2011). For the gasoline vehicle, average OH exposures ranged from 7.9 × 10¹¹ to 1.6 × 10¹² molec. cm⁻³ s, depending on the driving cycle (Fig. 2). For the diesel vehicle, OH exposures were lower, ranging from 1.4 × 10¹¹ to 1.1 × 10¹² molec. cm⁻³ s, with the lowest values observed during the MW CADC due to the presence of high NOₓ concentrations in the exhaust emissions (Fig. 2). These OH exposure levels align with values reported by Cao et al. (2020) under similar flow rate conditions within the PAM-OFR. The equivalent photochemical ageing time was estimated assuming an average atmospheric OH concentration of 1 × 10⁶ molec. cm⁻³ (global 24 h average; Finlayson-Pitts and Pitts, 2000). For the gasoline vehicle, the equivalent pho-
<figure><img src="image_3.png" /><figcaption>**Figure 1.** Schematic of the experimental setup used for the EURO 5 gasoline and diesel vehicle emissions and ageing tests.</figcaption></figure>

<figure><img src="image_4.png" /><figcaption>**Figure 2.** WLTC speed profile (pink) and time series of the primary particle number (bottom-left corner), NOₓ (top-right corner), and CO concentrations (bottom-right corner) at emission for the studied EURO 5 diesel and gasoline vehicles during the ambient-start driving WLTC.</figcaption></figure>

tochemical age ranged from 6 to 10 d, while, for the diesel vehicle, it ranged from 0.9 to 7 d. To minimize background levels, the PAM-OFR was systematically flushed overnight with treated ambient air (total filter combined with an activated charcoal scrubber), and all lamps were kept at 10 V. Additionally, the exhaust sampling line was replaced between the tests of the two vehicles to avoid cross-contamination.

For each vehicle, fresh and photochemically aged PM emissions were collected on quartz filters (Pall Flex, Tissuquartz, Ø = 47 mm, pre-combusted at 500 °C for 12 h to remove organic contaminants) over the entire driving cycles. Background filter samples (field blanks) were obtained dur-

ing separate dynamic blank experiments (performed without any vehicle under the same conditions as the driving cycles). In total, 32 PM samples were collected, including 12 samples for each vehicle and eight field blanks. After collection, PM samples were individually stored in 47 mm crystal polystyrene Petri dishes, sealed in polyethylene bags, and kept at -18 °C until analysis.

## 2.3 Instrumentation and sampling

Table S3 provides a summary of the instruments used to monitor the primary and aged emissions during the experiments. Continuous monitoring (at 1 min resolution) was con-
ducted for gaseous emissions such as oxygen (O₂), carbon monoxide (CO), carbon dioxide (CO₂), and nitrogen oxides (NOₓ) both at the emission source and after dilution. An ozone monitor (Model 202, 2B Technologies) was used to measure ozone concentrations inside the PAM-OFR, which ranged from 4.3 to 5.5 ppm for the gasoline vehicle and from 0.2 to 3.4 ppm for the diesel vehicle. Particle instrumentation was positioned downstream of the dilution system. Black carbon (BC) mass concentrations of primary particles were continuously monitored using a multi-wavelength Aethalometer (AE33, Magee Scientific) with a 1 min time resolution. Primary and secondary particle number concentrations were measured using condensation particle counters (CPCs, Grimm Series 5.400 for primary emissions and TSI 3775 for aged emissions) at a 1 s time resolution. Aerosol chemical composition was analysed using a time-of-flight aerosol chemical speciation monitor (ToF-ACSM, Aerodyne) equipped with a PM₁ aerodynamic lens and operated at a 40 s time resolution. Detector response factor calibration was performed with ammonium nitrate and sulfate solutions (Crenn et al., 2015; Freney et al., 2019; Ng et al., 2011). A relative ionization efficiency (RIE) of 1.4 was applied for organic matter (OM), and a collection efficiency (CE) of 0.5 was used for the entire ACSM dataset. No corrections were applied for lens transmission. To sample primary or aged emissions, an electrically actuated three-way valve was employed. Background OM and inorganic species mass concentrations were subtracted from ToF-ACSM measurements using field dynamic blanks (experiments conducted under the same conditions but with the vehicle engine off). Emission factors (EFs) for both primary and secondary OM were calculated using Eq. (1):

$$EF_{OM} = \frac{[OM] \times 1000 \times DF \times EFR \times TD}{D \times FC}, \quad (1)$$

with EFOM being the OM emission factor in mg kg⁻¹ of fuel burnt, [OM] being the organics measured by the ToF-ACSM in µg m⁻³, DF being the dilution factor determined with CO₂ measurements, EFR being the exhaust flow rate in m³ min⁻¹, TD being the test duration in min, D being the driven distance in km, and FC being the fuel consumption in kg km⁻¹.

## 2.4 Chemical analyses

### 2.4.1 Sample extraction

Details of the solvents and chemicals used for the extraction procedures, including their purity and suppliers, are described in the Supplement (Table S4). Prior to extraction, samples were spiked with labelled internal standards, referred to as extraction internal standards (EISs), to monitor the performance of the entire sample analysis process. These labelled compounds were selected to be distributed across the chromatogram of analysis. The solution contained five EISs for LC quadrupole time-of-flight (QToF) analysis (for both

positive and negative ionization modes) and eight EISs for GC-QToF analysis (Table S5). A QuEChERS-like (Quick, Easy, Cheap, Effective, Rugged, and Safe) procedure was developed and optimized for specific extractions for LC- and GC-HRMS analyses (Albinet et al., 2013, 2014, 2019). In brief, 47 mm diameter quartz filter samples, including matrix blanks (calcined filters only), were extracted with 6 mL of acetonitrile via agitation for 5 min using a multi-position vortex (1700 rpm) (Multi-tube Vortex, DVX-2500, VWR). Prior to extraction, a volume of 30 µL of each EIS solution was spiked onto each filter. After extraction, the samples were centrifuged for 7 min at 4500 rpm (Sigma 3–16 PK centrifuge). The supernatant (approximately 4 mL) was then collected and filtered (Uptidisc PTFE 13 mm, 0.2 µm).

Before solvent evaporation, the supernatants from the same driving-cycle tests and ageing state (primary and aged emissions) were pooled to ensure sufficient material for chemical analysis. The pooled sample extracts were evaporated under a nitrogen flow to a final volume of 200 µL, with the tubes immersed in a thermostated bath set at 45 °C. This process yielded 12 final sample extracts of 200 µL each, comprising 6 samples per vehicle, with half representing primary emissions and the other half representing aged emissions, with 1 sample per driving cycle. Additionally, one quality control (QC) sample was prepared by pooling 30 µL from each sample extract under investigation. Final extracts were stored at –20 °C until analysis.

### 2.4.2 NTS chemical analyses

Analytical methods were optimized to maximize chromatographic separation and to minimize interferences during detection. Prior to analysis, internal injection standards (IISs) were added to the extracts to assess the performance of the instrumental analysis (Table S6). The LC-QToF analyses were performed using a UHPLC system (1290 Infinity, Agilent) with a C₁₈ column (Acquity HSST3 C18, 2.1 mm × 100 mm, 1.8 µm, Waters) equipped with a guard column (Acquity UPLC HSS T3 VanGuard, 2.1 × 5 mm, 1.8 µm, Waters). The assembly was maintained in an oven at a thermostatically controlled temperature of 40 °C. Elution was conducted using methanol (mobile phase B) and water containing 1 mM acetic acid and 1 mM ammonium acetate (mobile phase A) at a flow rate of 0.4 mL min⁻¹. The injection volume was 5 µL, and the gradient conditions are detailed in Table S7. Following chromatographic separation, detection was carried out using a quadrupole time-of-flight mass spectrometer (QToF IFunnel 6550, Agilent) equipped with an electrospray ionization (ESI) source operating in both positive (ESI (+)) and negative (ESI (−)) modes. Instrumental parameters for the QToF are provided in Table S8. The GC-QToF analyses were conducted using an Agilent 7890 gas chromatograph equipped with a DB-5MS column (30 m × 250 µm, 0.25 µm, Agilent J&W) and a guard column (VF-5 ms, 10 m × 0.25 mm, 0.25 µm, Agilent
J&W). A 1 µL volume of each extract was injected in pulsed splitless mode using an ultra-inert low-fritted liner (870 µL, 4 mm, Agilent Technologies). Detection was performed with an Agilent 7250 accurate mass quadrupole QToF-MS instrument featuring an electron ionization source, operating at high energy (70 eV, HEI) and low energy (10 eV, LEI). Operating conditions for the GC-ToF analysis are detailed in Table S9. To ensure mass accuracy, both instruments were calibrated before each analytical sequence using manufacturer-provided solutions. For GC-QToF, calibrations were also performed every two injections throughout the sequence to minimize deviations, achieving precision in the measured mass (< 2 ppm). For LC-QToF, a reference solution was continuously injected during the run to monitor instrument drift and to ensure analytical reliability.

## 2.5 Quality control

To ensure the reliability of the non-targeted analyses and to maintain data quality, several quality assurance (QA) and QC measures were implemented using QC pools, EISs, and IISs. Following the guidelines recommended by Broadhurst et al. (2018) for non-target screening analyses, samples (including lab and field blanks) were analysed in a randomized sequence. This sequence included injecting 10 QC pooled samples at the start to “condition” the analytical system, followed by regular injections of QC pools every five samples throughout the sequence to evaluate and monitor potential instrument drift. After the analyses, the retention times (RTs) and masses of all internal standards (EISs and IISs) were specifically monitored in the QC pooled samples to assess RT stability and QToF-MS mass accuracy. Minor RT drifts for EISs and IISs were observed but remained within acceptable tolerances: ±0.2 min for LC-QToF data and ±0.1 min for GC-QToF data (Figs. S1–S6). Additionally, acceptable deviations in the *m/z* ratio (< 10 ppm) were observed for EISs and IISs in both GC- and LC-QToF data. Peak shapes and areas of the EISs in the QC pools were also monitored. Reproducibility and instrumental drift in the analytical responses were evaluated using control charts for three selected EISs. The logarithms of the peak areas for these EISs were plotted against the injection order (Figs. S7–S9). For each EIS in the QC pools and vehicular samples, the mean area (x̄) and standard deviation (σ) were calculated. Most values fell within the range x̄ ± 2σ. Any values outside this range were specifically examined. However, no trends or systematic issues were identified. Consequently, no data were excluded.

## 2.6 Data validation, data treatment, and multivariate statistical analyses

The Recursive feature extraction module in the Profinder software (Agilent v. B.10.00) was used to process three-dimensional LC raw data (retention time, *m/z* ratio, and abundance) and two-dimensional GC raw data (retention time and abundance) into aligned chromatographic peaks with corresponding peak abundances. Detailed parameter settings, along with the number of detected and selected features in the final dataset, are presented in Table S10. Features with more than 30% missing values in QC samples were excluded. In total, 1088, 1833, and 1779 features from GC-QToF, LC-ESI(+)-QToF, and LC-ESI(−)-QToF data, respectively, were retained for subsequent multivariate statistical analyses.

Before statistical analysis, missing values, caused by undetected features or signals below the threshold limit, were replaced with a non-significant value (half of the minimum area found in the entire dataset). Feature abundances were then normalized using pooled QC samples (Di Guida et al., 2016), log-transformed, and scaled by autoscaling. Multivariate statistical analyses were conducted using MetaboAnalyst software (Chong et al., 2019). Non-supervised methods, such as PCA and agglomerative hierarchical clustering analysis (HCA), were performed to explore associations among the OA samples from both vehicles. For HCA, classification was based on the Pearson correlation coefficient and the average linkage method.

PLS-DA was used to identify specific markers or chemical signatures associated with diesel and gasoline vehicles for both primary and secondary emissions. Model quality was assessed using leave-one-out cross-validation (LOOCV) with two parameters: *R*² (goodness of fit) and *Q*² (goodness of prediction). The *R*² and *Q*² values are summarized in Table S11. Variable importance in projection (VIP) scores were used to select compounds with the highest discrimination potential. To ensure the reliability of highlighted markers, each chemical entity was systematically verified in raw data for presence or absence across groups, abundance levels, and chromatographic responses (e.g. resolution and peak shape).

## 2.7 Tentative identification

Marker identification was not the primary aim of this work; however, preliminary attempts to identify the highlighted markers were carried out and further explored in a dedicated study. Molecular formulas of the selected markers were proposed based on LC-QToF data using MassHunter software. These formulas were estimated from the [M + H]⁺ or [M − H]⁻ ions considering isotope patterns (abundance and spacing) and low mass error limits (Δ*m/z* ≤ 10 ppm). Based on the available literature about elements present in fuels and lubricants, formula assignments were performed
under the following constraints: C ≤ 50, H ≤ 100, N ≤ 10, O ≤ 20, S ≤ 5, Al ≤ 5, Zn ≤ 5, Cd ≤ 5, Ce ≤ 5, Co ≤ 5, Ca ≤ 5, Pd ≤ 5, Si ≤ 5, Mn ≤ 5, Pb ≤ 5, and Ni ≤ 5 (Allen et al., 2001; Harrison et al., 2003; Hu et al., 2009; Huang et al., 1994; Maricq et al., 2002; R'Mili et al., 2018; Rogge et al., 1993). In cases of multiple assignments, only molecular formulas with a score higher than 90 (empirical score based on exact mass, isotope spacing, and abundance) were considered.

For GC-QTOF data, features were extracted using the Agilent Unknowns Analysis program (version B.09.00) with peak detection and grouping performed via the SureMass deconvolution algorithm. The parameters used were an RT window size factor of 80 and extraction window Δ*m/z* values of ±0.3 AMU (left) and ±0.7 AMU (right). For each deconvoluted spectrum, a forward search (pure weight factor = 0.7) was conducted using the NIST17 mass spectra library. A match factor was assigned based on spectral similarities and retention index agreement. Retention indices were calculated using a solution of C₈ to C₄₀ n-alkanes. The candidates obtained from NIST17 were manually reviewed.

# 3 Results and discussion

## 3.1 Overview of the particulate and gaseous emissions of EURO 5 diesel and gasoline vehicles

Time series data for the driving WLTCs and CADCs (urban and motorway) (Figs. 2 and S10–S11) indicated that gaseous emissions were strongly influenced by driving conditions, aligning with previous findings in the literature (Alves et al., 2015; Zervas and Bikas, 2008). NOₓ concentrations were particularly sensitive to high-speed conditions and to the frequency and intensity of acceleration and deceleration phases. These variations are likely to be driven by the increased combustion temperatures and elevated air-fuel ratios associated with such operating conditions. Ambient-start conditions had a notable impact on CO emissions, primarily due to sub-optimal combustion during cold starts. At low engine and catalyst temperatures, incomplete fuel oxidation occurs because the combustion process is less efficient and because the catalytic converter has not yet reached its light-off temperature. Exhaust particle number concentrations were largely higher for the GDI engine without a GPF compared to the DPF-equipped diesel vehicle. This was consistent with previous observations for similar vehicle types (Kostenidou et al., 2021; Louis et al., 2017; Maricq, 2023; Mathis et al., 2005) since GPFs started being implemented in GDI vehicles for the Euro 6 norm. Like gaseous emissions, primary particle emissions were closely correlated with driving conditions. For warm cycles (urban and MW CADCs), the highest total primary particle number concentrations were observed during acceleration phases and at high speeds. Ambient-start driving conditions (WLTCs) resulted in 4-times-higher total primary particle number concentrations, especially for a

short period after starting (Drozd et al., 2016; Kostenidou et al., 2021). The temporal variations of the main chemical species of the primary particles followed the same trends, as shown for the driving WLTC (Figs. S12 and S13), where OM accounted for the main fraction of the exhaust particles. The same results have been found for the two other cycles.

Figure 3 shows a comparison to the average OM emission factors (EFs) for both primary emissions and aged emissions from EURO 5 vehicles across different driving cycles. Primary OM EFs were approximately 2 to 3 times higher for the EURO 5 gasoline vehicle than for the EURO 5 DPF-equipped diesel vehicle (Fig. 3). Similarly, primary BC EFs were 10 to 20 times higher for the gasoline vehicle than for the diesel vehicle (Fig. S14). These findings suggest that, while DPF-equipped diesel vehicles emit relatively few primary particles (BC or organics), GDI vehicles without a GPF are responsible for substantial BC and organic emissions (Bessagnet et al., 2022; Gordon et al., 2014; Kostenidou et al., 2021; Maricq, 2023; Maricq et al., 2012). After ageing, a substantial formation of OM (SOA-aged POA) was observed, and OM EFs were 8 to 15 times higher for the gasoline vehicle than for the diesel one (Figs. 3 and S12 and S13). The influence of ambient-start conditions on OM emissions was more pronounced for aged emissions than for primary emissions, with secondary OM EFs being 3 to 6 times higher for the WLTC compared to for other driving cycles. Note that the formation of secondary OM was mainly observed during the low-speed phase of the driving WLTC (Figs. S12 and S13). In the case of the diesel vehicle, elevated NOₓ emissions observed during the motorway CADC resulted in lower average OH exposure, leading to a reduced SOA production compared to other driving cycles.

The results obtained under the tested conditions revealed that SOA emissions were approximately 3 to 5 times higher than the POA emissions for the EURO 5 diesel vehicle, increasing from 0.2–1.2 mg kg⁻¹ fuel (POA) to 0.5–6.2 mg kg⁻¹ fuel (SOA). For the EURO 5 gasoline vehicle, a notable increase in SOA emissions was observed, with emission factors rising by a factor of 11 to 22 (from 1.3–3.0 to 13.8–65.9 mg kg⁻¹ fuel). These values are consistent with previously reported data. For instance, Karjalainen et al. (2016) found that gasoline SOA emissions after oxidation in a PAM-OFR were approximately 13 times higher than POA emissions. Although higher SOA emission factors (200–400 mg kg⁻¹ fuel) were reported by Tkacik et al. (2014) during PAM-OFR experiments in a road tunnel, their SOA-to-POA emission factor ratios were in a similar range (10 to 20 times). Jathar et al. (2017), using PAM-OFR to simulate photochemical ageing of diesel exhausts from vehicles equipped with after-treatment systems, observed SOA emission factors that were from 80 to 800 times higher than POA. Smog chamber studies have shown similar trends. For example, Platt et al. (2017) reported SOA emission factors of approximately 350 mg kg⁻¹ fuel, about 14 times higher than POA emissions (24.5 mg kg⁻¹ fuel), for a EURO 5 gasoline
<figure><img src="image_5.png" /></figure>

**Figure 3.** Diesel (top) and gasoline (bottom) Euro 5 OM average emission factors for the primary (POA) and secondary (SOA-aged POA) fractions, average NOₓ concentrations after dilution exhaust and average OH exposures obtained with the ambient-start WLTCs and hot-start CADCs for motorway (MW) and urban driving. The error bars correspond to the standard deviation (±2σ) for the number of experiments performed (n = 2 for the WLTC and n = 4 for the hot-start CADC for MW and urban driving).

vehicle. Overall, these studies consistently indicate that SOA contributions from modern vehicular emissions far exceed POA levels (Chirico et al., 2010; Gentner et al., 2017; Gordon et al., 2014; Hartikainen et al., 2023; Jathar et al., 2017; Karjalainen et al., 2016; Kostenidou et al., 2024; Kuittinen et al., 2021; Platt et al., 2017; Tkacik et al., 2014). These findings underscore the importance of further characterizing the secondary fraction of vehicular emissions.

## 3.2 Non-target chemical characterization of vehicular OAs

### 3.2.1 Vehicular OA chemical signature comparison

To investigate potential correlations in the chemical signatures of vehicular OA samples, PCA score plots were generated based on GC-QToF (Fig. 4) and LC-QToF (Fig. S15) datasets acquired for both primary and secondary emissions across the different tested driving cycles (ambient-start WLTCs and motorway and urban CADCs with warmed-up engines). For each analytical technique (GC-QToF, LC-ESI(+)-QToF, and LC-ESI(-)-QToF), the corresponding PCA revealed tightly clustered pooled QC samples, indicating

<figure><img src="image_6.png" /></figure>

**Figure 4.** Principal component analysis (PCA) score plots of samples from primary and secondary vehicular emissions (POA diesel: red; POA gasoline: green; SOA diesel: light blue; SOA gasoline: pink) and pooled QC samples (dark blue). One pooled sample per driving cycle tested (ambient-start WLTCs and hot-start CADCs for motorway and urban driving) is included. The result is obtained from the NTS analysis performed by GC-QToF. The data have been normalized by pooled QC samples, log-transformed, and auto-scaled. The ellipses represent the 95 % confidence zones.

high data reliability and reproducibility. The score plots demonstrated a clear separation between POA and SOA samples along the first principal component (PC1). Specifically, POA samples from both diesel and gasoline vehicles contributed negatively to PC1, while SOA samples contributed positively to PC1. Although less pronounced, a partial differentiation between diesel and gasoline vehicles was also observed for both POA and SOA samples. PC1 appeared to primarily capture the (trans-)formation state of the OA, distinguishing between primary and secondary emissions while also reflecting, to a lesser extent, the type of vehicle (fuel type) as a source. The second principal component (PC2) captured greater intra-group variability, particularly among the diesel-derived samples. This variation may be linked to the lower and more inconsistent emissions observed from the DPF-equipped diesel vehicle, which result in lower particulate mass and, consequently, more variability in the chemical signatures of the collected samples.

For each analytical method employed, HCA corroborated the PCA interpretation, revealing three distinct clusters corresponding to pooled QC samples and POA and SOA vehicular emissions (Figs. 5, S16, and S17). Across all three techniques, HCA clearly distinguished between POA and SOA clusters, highlighting significant differences in terms of the
<figure><img src="image_7.png" /><figcaption>**Figure 5.** Two-way hierarchical clustering and heat map of the different vehicular exhaust samples of normalized GC-QToF data. This classification was performed based on the Pearson's correlation coefficient using the average linkage method. The colour scale on the right represents the feature relative abundance in each sample relatively compared to the others.</figcaption></figure>

chemical fingerprints of primary and aged emissions. These observations are consistent with prior studies (Gentner et al., 2017; Presto et al., 2014; Suarez-Bertoa et al., 2015) which reported a predominance of reduced hydrocarbon species ($C_xH_y$) in primary emissions and a greater abundance of oxygenated compounds in secondary emissions. Beyond the POA-SOA separation, additional sub-clustering of samples was observed based on fuel type. Specifically, GC-QToF and LC-QToF (negative ionization mode) data showed a partial but evident differentiation between gasoline- and diesel-derived emissions within both POA and SOA clusters. In contrast, LC-QToF data acquired in positive ionization mode did not yield a clear classification between vehicle types, suggesting a closer chemical composition in the ionizable compounds detected under those conditions.

### 3.2.2 Diesel and gasoline POA chemical signature comparison

PCAs were conducted specifically on POA samples from gasoline and diesel vehicles using GC-QToF and LC-QToF datasets (Fig. S18). The PCA score plots revealed clustering patterns based on both driving conditions and fuel type, covering ambient-start WLTCs and hot-start CADCs for motorway and urban driving. For all three PCA analyses, the first two principal components explained over 60% of the total variance. PC1 primarily separated diesel from gasoline POA samples, suggesting a strong influence of fuel type, while PC2 appeared to be more related to driving-cycle conditions. For both vehicle types, PC2 consistently differentiated motorway (MW) ambient-start WLTC and hot-start CADC samples from urban hot-start CADC samples, except in the case of diesel samples analysed by GC and LC in negative mode, where PC2 generally separated the motorway (MW) hot-
start CADC samples from the others. Notably, LC-positive mode data for the gasoline vehicle indicated that motorway hot-start CADC and ambient-start WLTC samples exhibited more similar chemical signatures compared to urban hot-start CADC samples. These results suggest that chemical signatures of POA are more sensitive to driving dynamics, such as speed and acceleration-deceleration patterns, than to start-up conditions (ambient vs. hot).

To improve sample classification, PLS-DA models were built, showing a robust fit and predictive power (Table S11). The top 30 discriminating features (defined by median *m/z* retention time for LC-QToF and retention time for GC-QToF) had VIP scores of > 2 for GC data and of > 3 for LC data (Figs. 6 and S20). The entities with the highest VIP scores were predominantly associated with gasoline samples for GC and LC-ESI(+) data. On the contrary, for LC-ESI(−) data, the entities with the highest VIP scores were mainly associated with the chemical fingerprint of the diesel vehicle. A feature was retained only if it was exclusively present in one vehicle type and detected consistently across all three replicates. Table 1 summarizes the selected discriminating features. For GC data, one marker was identified for each vehicle type. For LC-ESI(+) data, 11 markers were retained for gasoline, and 1 was retained for diesel. Concerning LC-ESI(−) data, eight markers were retained for diesel, and one was retained for gasoline one. The chromatographic profiles and mass spectra (GC data) of selected potential markers are shown in Figs. S22, S23, S26, and S27.

### 3.2.3 Diesel and gasoline SOA chemical signature comparison

For all three PCA analyses corresponding to the different analytical techniques, the first two principal components accounted for more than 60% of the total variance (Fig. S19). In the GC-QToF and LC-ESI(−)QToF data, PC1 predominantly separated diesel and gasoline SOA samples, indicating a distinction in their chemical signatures. This separation was not as clear for the ESI(+) LC-QToF data, suggesting that the diesel and gasoline SOA chemical fingerprints could be more closely related than those observed for POA compounds. PC2 consistently separated the diesel motorway hot-start CADC samples from the others across all three analytical methods. This observation aligns with the elevated $NO_x$ concentrations measured during this driving cycle. Under high-$NO_x$ conditions, the reaction of peroxy radicals with $NO_x$ can yield either alkoxy radicals or organic nitrates, depending on the branching ratio, which varies with the degree of carbon substitution in the precursor VOCs. While the formation of organonitrates may contribute to nitrogen-containing SOAs, high $NO_x$ levels generally favour fragmentation pathways leading to more oxygenated, volatile species (Gentner et al., 2017; Pullinen et al., 2020). Overall, the high $NO_x$ levels may have triggered distinct atmospheric reactions, leading to the formation of nitrogen-containing com-

pounds or more oxygenated species. In contrast, no clear trend emerged in the PCA clustering of gasoline SOA samples with respect to driving cycle or start-up conditions (ambient vs. hot).

The 30 top-ranking discriminant features from the PLS-DA models, defined by median molecular mass and retention time for LC-QToF data and retention time for GC-QToF data, with VIP scores of > 2 (GC-QToF) and > 3 (LC-QToF), are presented in Figs. 6 and S21. For GC-QToF and LC-QToF data, $R^2$ and $Q^2$ values showed good explanatory PLS-DA models (Table S11). Following rigorous manual review of the GC-QToF raw data, two features specific to gasoline SOAs and one feature for diesel SOAs were confirmed (Table 1). The corresponding chromatographic responses and mass spectra are shown in Figs. S28 to S30. Ultimately, 10 discriminatory entities were selected using the LC-QToF data, with eight specific to diesel SOAs (all in negative mode) and two specific to gasoline SOAs (Table 1). Representative chromatographic responses for selected LC-QToF potential markers are illustrated in Figs. S24 and S25.

### 3.3 Tentative identifications of POA and SOA markers

For the GC-QToF data, only one marker compound specific to diesel POA emissions could be tentatively identified: 2H-Pyran-2-one (Table 1). This compound has not previously been reported as a potential marker of diesel exhausts and may be formed through high-temperature reactions catalysed by palladium complexes or acids (Larock et al., 1999). For the remaining POA and SOA markers, no confident identification could be achieved due to the absence of significant spectral matches in the NIST mass spectral database (Table 1). In contrast, LC-QToF data allowed for tentative elemental formula assignments for several features, suggesting the presence of metals and metalloids such as calcium (Ca), aluminium (Al), cobalt (Co), silicon (Si), sulfur (S), and manganese (Mn). The detection of such elements is consistent with earlier findings highlighting the substantial contribution (ranging from 20% to 80%) of fuel additives and lubricating oils to POA emissions, especially in diesel vehicles (Alam et al., 2018; Brandenberger et al., 2005; Carbone et al., 2019; Kleeman et al., 2008; Lyu et al., 2024; Sonntag et al., 2012; Worton et al., 2014). Lubricating oils have also been widely recognized as major sources of semi-volatile organic compounds (SVOCs), which can act as important precursors to SOA formation in vehicular emissions (Ghadimi et al., 2023; Hartikainen et al., 2023; Karjalainen et al., 2019; Zhao et al., 2017). Specifically, Karjalainen et al. (2019) emphasized the dominant role of lubricating oil in SOA precursor formation from diesel engines compared to in GDI vehicles. Additionally, sulfur-containing organic compounds (e.g. CHOS and CHONS species) are commonly formed during the photochemical ageing of gasoline exhausts as $SO_2$, emitted in trace amounts, primarily from the lubricating oil, undergoes atmospheric reactions (Schneider et al.,
<table><caption>Table 1. Selected markers (molecular mass or base peak, Da or retention time, min) and their tentative identification. Questionable molecular formulas are in bold.</caption><thead><tr><th></th><th>POA diesel</th><th></th><th>POA gasoline</th><th></th><th>SOA diesel</th><th></th><th>SOA gasoline</th></tr></thead><tbody><tr><td>GC: QToF</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>GC POA D-1</td><td>68.0256/7.57</td><td>2H-Pyran-2-one</td><td>GC POA G-1</td><td>208.0885/21.02</td><td>GC POA G-1</td><td>101.0597/16.16</td><td>GC POA G-1</td></tr><tr><td>GC POA D-1</td><td>68.0256/7.57</td><td>2H-Pyran-2-one</td><td>GC POA G-1</td><td>208.0885/21.02</td><td>GC POA G-1</td><td>101.0597/16.16</td><td>GC POA G-1</td></tr><tr><td>GC: QToF (ESI negative mode)</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>LC: QToF</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>LC NEG POA D-1</td><td>254.0924/16.34</td><td>C<sub>9</sub>H<sub>25</sub>CO<sub>4</sub></td><td>LC NEG POA G-1</td><td>320.0933/12.78</td><td>C<sub>7</sub>H<sub>27</sub>MinNO<sub>7</sub>Si</td><td>271.0499/13.45</td><td>C<sub>8</sub>H<sub>13</sub>Al<sub>2</sub>N<sub>2</sub>O<sub>5</sub></td></tr><tr><td>LC NEG POA D-1</td><td>254.0924/16.34</td><td>C<sub>8</sub>H<sub>16</sub>CalN<sub>5</sub>O<sub>2</sub></td><td>LC NEG POA G-1</td><td>320.0933/12.78</td><td>C<sub>8</sub>H<sub>26</sub>Al<sub>4</sub>NO<sub>3</sub>Si</td><td>271.0499/13.45</td><td>C<sub>8</sub>H<sub>13</sub>Al<sub>2</sub>N<sub>2</sub>O<sub>5</sub></td></tr><tr><td>LC NEG POA D-2</td><td>327.1297/18.07</td><td>C<sub>10</sub>H<sub>18</sub>Al<sub>2</sub>NO<sub>3</sub></td><td></td><td></td><td></td><td>279.0131/10.71</td><td>C<sub>9</sub>H<sub>16</sub>CalN<sub>2</sub>O<sub>5</sub></td></tr><tr><td>LC NEG POA D-2</td><td>327.1297/18.07</td><td>C<sub>10</sub>H<sub>18</sub>Al<sub>2</sub>NO<sub>3</sub></td><td></td><td></td><td></td><td>279.0131/10.71</td><td>C<sub>9</sub>H<sub>16</sub>CalN<sub>2</sub>O<sub>5</sub></td></tr><tr><td>LC NEG POA D-3</td><td>355.1577/19.37</td><td>C<sub>17</sub>H<sub>22</sub>AlN<sub>5</sub>O<sub>2</sub></td><td></td><td></td><td></td><td>293.0287/13.06</td><td>C<sub>10</sub>H<sub>11</sub>Al<sub>2</sub>N<sub>3</sub>O<sub>5</sub></td></tr><tr><td>LC NEG POA D-3</td><td>355.1577/19.37</td><td>C<sub>17</sub>H<sub>22</sub>AlN<sub>5</sub>O<sub>2</sub></td><td></td><td></td><td></td><td>293.0287/13.06</td><td>C<sub>10</sub>H<sub>11</sub>Al<sub>2</sub>N<sub>3</sub>O<sub>5</sub></td></tr><tr><td>LC NEG POA D-4</td><td>397.1586/19.70</td><td>C<sub>19</sub>H<sub>28</sub>Al<sub>3</sub>N<sub>2</sub>O<sub>2</sub></td><td></td><td></td><td></td><td>293.0290/11.99</td><td>C<sub>13</sub>H<sub>19</sub>O<sub>8</sub></td></tr><tr><td>LC NEG POA D-4</td><td>397.1586/19.70</td><td>C<sub>19</sub>H<sub>28</sub>Al<sub>3</sub>N<sub>2</sub>O<sub>2</sub></td><td></td><td></td><td></td><td>293.0290/11.99</td><td>C<sub>13</sub>H<sub>19</sub>O<sub>8</sub></td></tr><tr><td>LC NEG POA D-5</td><td>417.1806/16.35</td><td>C<sub>15</sub>H<sub>28</sub>AlN<sub>5</sub>O<sub>7</sub></td><td></td><td></td><td></td><td>305.0287/12.98</td><td>C<sub>14</sub>H<sub>16</sub>O<sub>8</sub></td></tr><tr><td>LC NEG POA D-5</td><td>417.1806/16.35</td><td>C<sub>15</sub>H<sub>28</sub>AlN<sub>5</sub>O<sub>7</sub></td><td></td><td></td><td></td><td>305.0287/12.98</td><td>C<sub>14</sub>H<sub>16</sub>O<sub>8</sub></td></tr><tr><td>LC NEG POA D-6</td><td>459.1661/19.83</td><td>C<sub>21</sub>H<sub>29</sub>Al<sub>2</sub>N<sub>2</sub>O<sub>6</sub></td><td></td><td></td><td></td><td>330.0856/14.44</td><td>C<sub>16</sub>H<sub>14</sub>N<sub>2</sub>O<sub>6</sub></td></tr><tr><td>LC NEG POA D-6</td><td>459.1661/19.83</td><td>C<sub>21</sub>H<sub>29</sub>Al<sub>2</sub>N<sub>2</sub>O<sub>6</sub></td><td></td><td></td><td></td><td>330.0856/14.44</td><td>C<sub>16</sub>H<sub>14</sub>N<sub>2</sub>O<sub>6</sub></td></tr><tr><td>LC NEG POA D-7</td><td>568.1882/19.38</td><td>C<sub>31</sub>H<sub>32</sub>Al<sub>4</sub>N<sub>4</sub></td><td></td><td></td><td></td><td>344.1020/14.78</td><td>C<sub>18</sub>H<sub>22</sub>N<sub>6</sub>O<sub>2</sub></td></tr><tr><td>LC NEG POA D-7</td><td>568.1882/19.38</td><td>C<sub>31</sub>H<sub>32</sub>Al<sub>4</sub>N<sub>4</sub></td><td></td><td></td><td></td><td>344.1020/14.78</td><td>C<sub>18</sub>H<sub>22</sub>N<sub>6</sub>O<sub>2</sub></td></tr><tr><td>LC NEG POA D-8</td><td>584.1804/19.87</td><td>C<sub>28</sub>H<sub>43</sub>AlCO<sub>2</sub>N<sub>2</sub>O<sub>2</sub></td><td></td><td></td><td></td><td>360.0959/13.55</td><td>C<sub>14</sub>H<sub>18</sub>Al<sub>2</sub>N<sub>4</sub>O<sub>4</sub></td></tr><tr><td>LC: QToF (ESI positive mode)</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>LC POS POA D-1</td><td>209.0841/14.07</td><td>C<sub>14</sub>H<sub>11</sub>NO</td><td>LC POS POA G-1</td><td>202.1356/15.39</td><td>C<sub>12</sub>H<sub>16</sub>N<sub>3</sub></td><td>576.4359/24.45</td><td>C<sub>30</sub>H<sub>60</sub>N<sub>2</sub>O<sub>8</sub></td></tr><tr><td>LC POS POA D-1</td><td>209.0841/14.07</td><td>C<sub>12</sub>H<sub>9</sub>N<sub>4</sub></td><td>LC POS POA G-1</td><td>202.1356/15.39</td><td>C<sub>14</sub>H<sub>18</sub>O</td><td>576.4359/24.45</td><td>C<sub>30</sub>H<sub>60</sub>N<sub>2</sub>O<sub>8</sub></td></tr><tr><td>LC: QToF (ESI positive mode)</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>LC POS POA G-2</td><td>305.2352/15.39</td><td>C<sub>17</sub>H<sub>29</sub>N<sub>4</sub>O</td><td>LC POS POA G-2</td><td>305.2352/15.39</td><td>C<sub>17</sub>H<sub>29</sub>N<sub>4</sub>O</td><td>1018.7644/22.30</td><td></td></tr><tr><td>LC POS POA G-2</td><td>305.2352/15.39</td><td>C<sub>17</sub>H<sub>29</sub>N<sub>4</sub>O</td><td>LC POS POA G-2</td><td>305.2352/15.39</td><td>C<sub>17</sub>H<sub>29</sub>N<sub>4</sub>O</td><td>1018.7644/22.30</td><td></td></tr><tr><td>LC POS POA G-3</td><td>335.2279/20.39</td><td>C<sub>19</sub>H<sub>31</sub>NO<sub>2</sub></td><td>LC POS POA G-3</td><td>335.2279/20.39</td><td>C<sub>23</sub>H<sub>29</sub>NO</td><td></td><td></td></tr><tr><td>LC POS POA G-3</td><td>335.2279/20.39</td><td>C<sub>19</sub>H<sub>31</sub>NO<sub>2</sub></td><td>LC POS POA G-4</td><td>375.2556/22.52</td><td>C<sub>24</sub>H<sub>31</sub>N<sub>4</sub></td><td></td><td></td></tr><tr><td>LC POS POA G-4</td><td>375.2556/22.52</td><td>C<sub>21</sub>H<sub>27</sub>N<sub>4</sub></td><td>LC POS POA G-4</td><td>375.2556/22.52</td><td>C<sub>26</sub>H<sub>33</sub>NO</td><td></td><td></td></tr><tr><td>LC POS POA G-5</td><td>389.2716/20.41</td><td>C<sub>25</sub>H<sub>33</sub>N<sub>4</sub></td><td>LC POS POA G-5</td><td>389.2716/20.41</td><td>C<sub>25</sub>H<sub>33</sub>N<sub>4</sub></td><td></td><td></td></tr><tr><td>LC POS POA G-5</td><td>389.2716/20.41</td><td>C<sub>25</sub>H<sub>33</sub>N<sub>4</sub></td><td>LC POS POA G-6</td><td>391.2867/20.39</td><td>C<sub>25</sub>H<sub>35</sub>N<sub>4</sub></td><td></td><td></td></tr><tr><td>LC POS POA G-6</td><td>391.2867/20.39</td><td>C<sub>25</sub>H<sub>35</sub>N<sub>4</sub></td><td>LC POS POA G-6</td><td>391.2867/20.39</td><td>C<sub>25</sub>H<sub>35</sub>N<sub>4</sub></td><td></td><td></td></tr><tr><td>LC POS POA G-7</td><td>543.4079/21.49</td><td>C<sub>37</sub>H<sub>53</sub>NO<sub>2</sub></td><td>LC POS POA G-7</td><td>543.4079/21.49</td><td>C<sub>37</sub>H<sub>53</sub>NO<sub>2</sub></td><td></td><td></td></tr><tr><td>LC POS POA G-7</td><td>543.4079/21.49</td><td>C<sub>37</sub>H<sub>53</sub>NO<sub>2</sub></td><td>LC POS POA G-8</td><td>607.4373/22.96</td><td>C<sub>40</sub>H<sub>57</sub>N<sub>4</sub>O</td><td></td><td></td></tr><tr><td>LC POS POA G-8</td><td>609.4542/24.08</td><td>C<sub>40</sub>H<sub>57</sub>N<sub>4</sub>O</td><td>LC POS POA G-9</td><td>609.4542/24.08</td><td>C<sub>42</sub>H<sub>59</sub>NO<sub>2</sub></td><td></td><td></td></tr><tr><td>LC POS POA G-9</td><td>609.4542/24.08</td><td>C<sub>40</sub>H<sub>57</sub>N<sub>4</sub>O</td><td>LC POS POA G-10</td><td>611.4723/21.06</td><td>C<sub>34</sub>H<sub>74</sub>Al<sub>2</sub>CO<sub>2</sub></td><td></td><td></td></tr><tr><td>LC POS POA G-10</td><td>611.4723/21.06</td><td>C<sub>42</sub>H<sub>60</sub>NO<sub>2</sub></td><td>LC POS POA G-11</td><td>671.5270/22.09</td><td>C<sub>45</sub>H<sub>69</sub>NO<sub>3</sub></td><td></td><td></td></tr><tr><td>LC POS POA G-11</td><td>671.5270/22.09</td><td>C<sub>42</sub>H<sub>71</sub>Al<sub>2</sub>N<sub>3</sub></td><td></td><td></td><td></td><td></td><td></td></tr></tbody></table>
<figure><img src="image_8.png" /><figcaption>**Figure 6.** Partial least-square discriminant analysis (PLS-DA) of POA (top) and SOA (bottom) samples from gasoline and diesel vehicles. The results are obtained from the GC-QToF data and were normalized by pooled QC samples, log-transformed, and auto-scaled. The ellipses represent the 95 % confidence zones. Classifications of the chemical entity (left scale: retention time) characteristics of each vehicular source according to the VIP score are displayed on the right. The colour scale indicates the variation in the abundance of the chemical entity (100 % shown in red, 0 % shown in blue) in all samples of both vehicles. Only the first 30 chemical entities with the highest VIP scores are shown in the graph.</figcaption></figure>

2024). These observations support the tentative identification of the SOA gasoline marker LC NEG SOA G-1, which likely contains sulfur functionality (Table 1). To further assess the validity of the proposed molecular formula assignments for the potential markers identified using LC-QToF data, a Van Krevelen diagram was employed (Fig. 7). The diagram plots hydrogen-to-carbon (H:C) versus oxygen-to-carbon (O:C) atomic ratios, allowing visualization of the chemical characteristics of the identified compounds. As an-

ticipated, SOA markers exhibited higher O:C ratios compared to POA markers, reflecting the greater degree of oxidation associated with ageing processes. However, a few questionable molecular formulas were identified (highlighted in Fig. 7 and listed in Table 1) which fall outside the typical elemental composition patterns and are likely to be doubtful and so should be considered with caution.
<figure><img src="image_9.png" /><figcaption>**Figure 7.** Van Krevelen diagram representing all potential molecular formulas assigned to the proposed markers obtained from LC-QTOF data. Questionable molecular formulas are highlighted with red circles.</figcaption></figure>

## 4 Conclusions

The potential of NTS strategies to differentiate between vehicular OA sources was evaluated using both LC- and GC-HRMS combined with multivariate statistical analyses, including both unsupervised and supervised approaches. The use of three complementary analytical techniques enabled a broader and more comprehensive chemical characterization of the OA. Although the number of samples analysed was limited, the consistent outcomes observed across all three datasets strengthened the robustness and reliability of the findings. Unsupervised analyses revealed clear distinctions between POA and SOA emissions from vehicular exhausts, with each fraction exhibiting distinct chemical signatures. Additionally, although to a lesser extent, differences between gasoline and diesel OA were observed for both POA and SOA. Supervised modelling using PLS-DA enabled the identification of approximately 10 discriminating markers for each vehicle type and emission fraction. While these findings are promising and demonstrate the potential of non-targeted HRMS approaches in source apportionment of vehicular OA, the generalizability of the results should be interpreted with caution. The study involved only two vehicles, and variations in vehicle technology, fuel formulation, and lubricant composition are expected to influence the emitted organic aerosol profiles and the distinctiveness of the identified factors. Differences in lubricant additives and fuel aromatic content may alter both the primary emission composition and the pathways of secondary aerosol formation. Future studies should incorporate a larger and more diverse vehicle set, covering a wider range of fuels, lubricants, and emission control technologies, along with increased sampling replicates and oxidation conditions. Such efforts will improve the statistical robustness and environmental relevance.

**Data availability.** The raw data can be provided upon request to the authors.

**Supplement.** The supplement related to this article is available online at https://doi.org/10.5194/ar-3-569-2025-supplement.

**Author contributions.** CN: data curation, formal analysis, investigation, methodology, validation, visualization, writing (original draft, review and editing). FL: conceptualization, investigation, methodology, resources, supervision, validation, writing (review and editing). AD: investigation, methodology, writing (review and editing). NK: investigation, methodology, writing (review and editing). CC: investigation, methodology, writing (review and editing), validation. JB: investigation, methodology, validation, writing (review and editing). YL: investigation, methodology, resources, writing (review and editing). BV: investigation, methodology, writing (review and editing). JLB: conceptualization, supervision, writing (review and editing), validation. AA: conceptualization, formal analysis, funding acquisition, investigation, methodology, project administration, resources, supervision, validation, visualization, writing (review and editing).

**Competing interests.** The contact author has declared that none of the authors has any competing interests.

**Disclaimer.** 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. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.
**Acknowledgements.** The authors thank Patrick Tassel and Pascal Perret from Université Gustave Eiffel for the vehicle testing experiments on the chassis dynamometer. The authors also thank Agilent for the complimentary loan of the GC-Q-ToF-MS. Finally, the authors gratefully acknowledge Bruno Le Bizec, Gaud Dervilly, and Yann Guittou for the helpful discussions and advice regarding NTS approaches.

**Financial support.** This work has been supported by the French Ministry of environment, as well as by the National reference laboratory for air quality monitoring in France (LCSQA). The collection of the samples was done taking advantage of the EVORA research project funded by the ADEME agency (French Environment and Energy Management Agency, grant no. 1766C0022).

**Review statement.** This paper was edited by Shahzad Gani and reviewed by two anonymous referees.

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