Barbara Nozière
Royal Institute of Technology (KTH), Department of Chemistry, 114 28 Stockholm, Sweden. E-mail: noziere@kth.se
First published on 13th August 2025
Organic peroxy radicals (RO2) are important intermediates in aerobic systems such as Earth's atmosphere. The existence of a channel producing dialkyl peroxides (ROOR) in their self- and cross-reactions (i.e., between the same or different radicals) has long been debated and considered a theoretical “key problem in the atmospheric chemistry of peroxy radicals”. Over the past decade, observations have suggested that this channel could be an important source of condensable compounds and, ultimately, new aerosol particles in Earth's atmosphere. However, experimental evidence for specific RO2 reactions is scarce. In this work, the formation of ROOR in the self- and cross-reactions of eight RO2 (CH3O2, 13CH3O2, CD3O2, C2H5O2, 1- and iso-C3H7O2, 1- and tert-C4H9O2) could be observed by modifying the ionisation conditions on a proton transfer mass spectrometer. The ROOR formation channel was confirmed to be in competition with the other product channels rather than precede them. For six of the RO2 studied, the branching ratio, γ, for the ROOR channel of the self-reaction was quantified relative to these other channels. The results allowed for the first time to identify some trends in γ with respect to the RO2 structure: γ decreases with increasing RO2 chain length for the linear/primary radicals, ranging from (14.1 ± 7)% for CH3O2 to (1.1 ± 0.5)% for 1-C4H9O2, while branched radicals exhibit much higher γ than their linear counterparts, with γ = (17.2 ± 8.6)% for iso-C3H7O2 and (46.6 ± 23.2)% for tert-C4H9O2. The formation of ROOR products from RO2 reactions in the atmosphere should thus be strongly dependent on the RO2 structure.
RO2 + RO2 → ROH + R–H![]() | (1a) |
→ 2 RO + O2 β, | (1b) |
RO2 + RO2 → ROOR + O2 γ. | (1c) |
However, the branching ratio for this channel, γ, was estimated to be small: γ(CH3O2) ≤6%, γ(C2H5O2) ≤6%, γ(HOCH2CH2O2) ≤2%, and γ(tert-C4H9O2) ≤12%.9 For decades, no other study reported the observation of this channel and the latter was ruled out as negligible.6,9 Its existence was also difficult to explain theoretically and this channel was referred to as one of the “two key problems in the atmospheric chemistry of peroxy radicals”.10 Over the past decade, laboratory investigations11,12 and atmospheric observations13 have reported the presence of “highly oxygenated molecules” (HOMs) in the gas phase, which systematically include “dimers” (i.e., compounds having twice the number of C-atoms than their precursors). These compounds are expected to play important roles in the formation of new aerosol particles in the atmosphere. The dimers have been attributed to the self- and cross-reactions of RO2,13,14 and these observations reignited the interest for this potential third channel of RO2 + RO2. Recent theoretical studies revealed new information on these reactions15–20 such as explaining the occurrence of the third channel by intersystem crossing20 and evidencing a fourth channel producing esters or ethers with complex RO2.21,22 However, experimental data remain scarce. In recent years, the branching ratio γ has been quantified for the self-reactions of only four radicals (C2H5O2,23 CH2(OH)CH2O2,24 CH3C(O)CH2O2,11,25 and C3H7O2),26 which does evidence any trend on how γ might vary with the RO2 structure.
The present work investigates the formation of ROOR products in the self-reaction of eight RO2 (CH3O2, 13CH3O2, CD3O2, C2H5O2, 1- and iso-C3H7O2, 1-C4H9O2, tert-C4H9O2) and in the cross-reactions of CH3O2 with C2H5O2 and iso-C3H7O2. In all experiments, radicals and products were monitored with a proton transfer chemical ionization mass spectrometer (CIMS), in which the ionization conditions were modified to enable ROOR detection. After checking the occurrence of the third channel in all of these reactions, the formation kinetics of ROOR were investigated, and the branching ratio γ was quantified.
CH3I + hν → CH3 + I | (2) |
CH3 + O2 + M → CH3O2 + M. | (3) |
Note that the generation of I-atom led to side-reactions:29
CH3O2 + I → CH3O2 I, | (4) |
CH3O2I + I → CH3O2 + I2. | (5) |
However, these fast reactions had negligible effects on most of the RO2 studied in this work, except tert-C4H9O2. The initial concentration of RO2 in the different reactions was estimated to be between 1.5 × 1010 cm−3 (for 1-C4H9O2) and 8 × 1013 cm−3 (for tert-C4H9O2). Note that precise knowledge of the radical concentration was not necessary in this work.
A + (H2O)nH+ → A(H2O)n−mH+ + mH2O. | (6) |
In this work, the branching ratio γ for peroxide formation was quantified relative to the branching ratio α of channel (1a) or, in the case of t-C4H9O2, to channel (1b) producing acetone. This quantification required the determination of the absolute concentration of all the compounds involved (i.e., the alcohols, acetone, and ROOR), thus that of their detection sensitivity, So (Hz ppb−1). The detection sensitivities for methanol, ethanol, 1- and 2-propanol, 1-butanol, acetone, and di-tert-butyl peroxide were calibrated within ±30% using reference standards. The results are presented in Fig. S1 and showed that, within a class of compounds, So decreases exponentially with the number of C-atoms and is smaller for the substituted compounds than for their linear counterparts. These trends are identical to those reported previously for a range of RO2.33 Therefore, for the ROOR, for which a standard was not available So was estimated assuming the same trends than for the alcohols and RO2. In practice, this meant that So(ROOR) was estimated by dividing So for the corresponding alcohol by a factor of ∼3. This led to ±50% of uncertainties on the estimated So values because of the wide range of values included in the extrapolation. These uncertainties propagated to the determination of the absolute concentrations for the ROOR in the experiments (except di-tert-butyl peroxide) and to the product ratios used to determine the branching ratio γ.
ROOR (or ROOH) + H3O+ → RO+ + neutral fragments, | (7a) |
ROOR (or ROOH) + H3O+ → (ROOR)H+ (or (ROOH)H+) + H2O. | (7b) |
The ion fragment RO+ is an isomer of the analog carbonyl ion (e.g., CH3O+ and (HCHO)H+ in the CH3O2 system; C2H5O+ and (CH3CHO)H+ in the C2H5O2 system). Since carbonyl compounds are usually much more abundant than ROOR, the fragmentation precluded the detection of organic peroxides and hydroperoxides.
In this work, observing a standard of di-tert-butyl peroxide (t-C4H9OOt-C4H9) with the ionisation conditions used in our previous works to detect RO2 (ref. 28 and 31) (i.e., a drift tube pressure of Pdrift = 10 torr and electrical energy of E/N ∼45 Td) led to distinct ion signals at m/z 165 and 183. These corresponded to the ions expected from proton transfer (Table S2) and indicated that this compound was, in fact, undergoing proton transfer in the CIMS. It was not possible to determine if the main ion for this compound was also undergoing fragmentation because the expected fragment RO+, m/z 73, overlapped with the most intense proton water cluster, (H2O)4H+. Thus, investigation of the proton transfer and fragmentation channels for ROOR was pursued with H3COOCH3 in the self-reaction of CH3O2. The masses for the proton transfer and fragmentation ions for H3COOCH3 were m/z 81 and 99 (Table S2), and m/z 31, respectively, which allowed us to monitor both channels separately. Note that, under identical ionization conditions, HCHO was exclusively detected at m/z 67 and 85 (Table S2) and had a negligible signal at m/z 31, and therefore did not interfere with the monitoring of the fragment CH3O+. The proton transfer and fragmentation channels of H3COOCH3 were then studied by maintaining the experimental conditions unchanged while varying the ionization conditions, mostly the electrical energy E/N (in Td) and drift tube pressure (Fig. 1). The fragmentation channel increased with the energy E/N and decreased with the drift tube pressure. Fragmentation dominated over proton transfer at and below 10 torr. This corresponds to the conditions in most commercial proton transfer mass spectrometers and to the fragmentation of organic peroxides reported in previous studies.34 By contrast, proton transfer dominated over fragmentation at and above 15 torr. A drift tube pressure between 15 and 20 torr and an energy E/N between 15 and 35 Td were thus systematically used in this study to ensure that all the peroxides were detected by their proton transfer ions (Table S2).
Observation of these ten different ROOR and ROOR′ confirmed the universality of the peroxide-producing channel in these reactions.
An alternative mechanism (“Mechanism II”) could be, for instance, the production of ROOR as the sole product in a first step (reaction (8) below), followed by its decomposition into the two other product channels (reaction (9)):
RO2 + RO2 → ROOR + O2 | (8) |
ROOR → 2 RO | (9a) |
ROOR → ROH + R–H![]() | (9b) |
To determine which mechanism was taking place, kinetic simulations were performed using CH3O2 and t-C4H9O2 as model RO2, and compared with the experimental data (see details in Section S1). These simulations showed that, in all cases, Mechanism I resulted in a product ratio R = [ROH]/[ROOR] and R = [acetone]/[ROOR] not varying significantly over 0–10 s of reaction time (Fig. S2B and S3B–C). By contrast, Mechanism II led to the ratios R increasing by orders of magnitude over the same timescale (Fig. S2 and S3).
Experimental values for R = [ROH]/[ROOR] and R = [acetone]/[ROOR] in each experiment were obtained from the absolute concentrations of the alcohols, acetone, and peroxides. The latter were determined from the respective experimental signals, after subtraction of the background signal obtained in the absence of light. These net signals were then divided by the detection sensitivity, So (Hz ppb−1), determined as described in the Experimental section (i.e., by direct calibration for the alcohols, acetone and di-tert-butyl peroxide, and by extrapolation from the known So for the other ROOR). These product ratios, R, were then determined at different reaction times by moving the position of the irradiation window in the reactor. The results are presented in Fig. S5 and compared with the kinetic simulations in Fig. S2B, C, S3C and D. Within the uncertainties (estimated to ±50%), these experimental ratios did not vary significantly over 0–10 s of reaction time and, in any case, much less than expected from Mechanism II. These results clearly established that the mechanism governing the self-reaction of RO2 was Mechanism I, as generally expected, in which the peroxide ROOR is formed in parallel with the other product channels.
![]() | (10) |
![]() | (11) |
Expt. no. | RO2 | α | Robs | γ | Average γ |
---|---|---|---|---|---|
a Calculated from β from ref. 9 and R.b Assumed identical to α for C2H5O2. | |||||
PER1 | CH3O2 | 0.48a | 3.3 | 0.147 | |
PER2 | CH3O2 | 0.46a | 2.8 | 0.166 | |
PER3 | CH3O2 | 0.46a | 2.7 | 0.170 | |
PER4 | CH3O2 | 0.47a | 3.0 | 0.158 | |
PER5 | CH3O2 | 0.55a | 6.7 | 0.082 | |
PER6 | CH3O2 | 0.50a | 3.9 | 0.129 | |
PER7 | CH3O2 | 0.49a | 3.5 | 0.140 | 0.141 |
PER8 | C2H5O2 | 0.3 | 3.3 | 0.091 | |
PER9 | C2H5O2 | 0.3 | 3.3 | 0.091 | |
PER10 | C2H5O2 | 0.3 | 4.4 | 0.071 | |
PER11 | C2H5O2 | 0.3 | 4.8 | 0.068 | 0.080 |
PER12 | iso-C3H7O2 | 0.44 | 2.8 | 0.259 | |
PER13 | iso-C3H7O2 | 0.44 | 15.3 | 0.050 | |
PER14 | iso-C3H7O2 | 0.44 | 3.9 | 0.207 | 0.172 |
PER15 | 1-C3H7O2 | 0.3b | 5.1 | 0.055 | |
PER16 | 1-C3H7O2 | 0.3b | 11.6 | 0.031 | |
PER17 | 1-C3H7O2 | 0.3b | 12.6 | 0.029 | 0.038 |
PER18 | 1-C4H9O2 | 0.3b | 27.4 | 0.011 | |
PER19 | 1-C4H9O2 | 0.3b | 31.0 | 0.010 | |
PER20 | 1-C4H9O2 | 0.3b | 25.2 | 0.012 | 0.011 |
PER21 | tert-C4H9O2 | — | 3.24 | 0.481 | |
PER22 | tert-C4H9O2 | — | 3.06 | 0.495 | |
PER23 | tert-C4H9O2 | — | 3.51 | 0.461 | |
PER24 | tert-C4H9O2 | — | 4.00 | 0.429 | 0.466 |
![]() | ||
Fig. 3 Branching ratio, γ, for the formation of ROOR in the self-reactions of RO2 studied in this work (blue symbols) and comparison with literature data (red symbols). |
The uncertainties in the branching ratios γ obtained were mostly those on the product ratios R. The latter were, in turn, a combination of the uncertainties on the alcohol (or acetone) and ROOR concentration.
The uncertainties on the absolute concentrations were mostly those on the detection sensitivity, So, because the experimental signals were generally measured to ±15%. However, the uncertainties on the ratio R were not the direct sum of those on the alcohol (or acetone) and ROOR concentrations because these partly compensated each other, especially because the detection sensitivity for most ROOR was estimated from that of the alcohols. Hence, the overall uncertainties on R (and, therefore, on γ) were assumed to result mostly from those on the detection sensitivities for the ROOR i.e., ±50%. The lack of variation of the ratio, R, with reaction time and the initial radical concentration makes this methodology for quantifying γ robust. Relying on concentration ratios also compensated, to a certain extent, for the variability in the ionisation conditions between experiments.
All the branching ratios measured in this work are larger than those recommended in the IUPAC database:9 14.1% (instead of ≤6%) for CH3O2, 8.0% (instead of ≤6%) for C2H5O2, and 46.6% (instead of ≤2%) for tert-C4H9O2. These differences could be attributed to the difficulty in observing and quantifying ROOR compounds with multiple analytical methods.
The branching ratios reported here for six RO2 allow, for the first time, to distinguish some trends in the variation of γ with the RO2 structure. Two trends are visible in Fig. 3: (i) a decrease in γ with increase in the number of C-atoms for the linear/primary alkyl RO2; (ii) larger γ for the branched RO2 than for the linear counterparts. Thus, peroxide formation seems to be a minor channel for linear/primary RO2 (except perhaps CH3O2) and mostly significant for substituted ones.
The value of γ = 8 ± 4% obtained in this work for the peroxide of C2H5O2 agrees well with the previous determination of γ = 10 ± 5%23 for this compound (Fig. 3). The values of γ = 3.8 ± 1.9% obtained for the peroxide of 1-C3H7O2 and γ = 17.2 ± 8.6% for i-C3H7O2 are consistent with γ = 10 ± 5% reported previously for a mixture of both compounds.26 Larger branching ratios have also been reported for functionalized RO2 compared with the corresponding alkyl RO2: γ = 23 ± 5% for the peroxide of HOCH2CH2O2 (ref. 24), thus larger than for C2H5O2, and γ = 16 x2/2% (ref. 11) and 30 × 2/2% (ref. 25) for that of CH3C(O)CH2O2, both larger than for 1-C3H7O2. This comparison shows that, beside substitution, some functionalization also enhances the formation yield of ROOR.
Because of the relative abundance of CH3O2 in the atmosphere, the branching ratio γ = 14.1 ± 7% reported in this work might result in non-negligible concentration of its peroxide in low-NOx regions. Cross-peroxides between CH3O2 and other RO2 would also be favored in such environments. Otherwise, the formation of organic peroxides from RO2 self- and cross-reactions in the atmosphere is expected to be mostly important for large (C ≥ 5) and substituted RO2 resulting from organic precursors of global importance, such as isoprene and terpenes.24 The competition between RO2 self- and cross-reactions and their other reactions (with NO, HO2…) in the atmosphere is likely to be the main limit for the formation of organic peroxides by these pathways. Other potential formation mechanisms could be considered for these compounds, such as condensed-phase or surface reactions.35
Some of the data supporting the work presented are provided in the SI. See DOI: https://doi.org/10.1039/d5sc03559g.
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