J. Philipp
Wagner
Institut für Organische Chemie, Eberhard Karls Universität Tübingen, Auf der Morgenstelle 18, 72076 Tübingen, Germany. E-mail: philipp.wagner@orgchem.uni-tuebingen.de
First published on 20th October 2022
The well-known dichlorocarbene (CCl2, 1) is deemed to undergo an extremely facile addition reaction with triplet molecular oxygen (3O2) under formation of the corresponding singlet Criegee intermediate, phosgene O-oxide. This is unexpected, because the carbene possesses a singlet ground state with a large singlet–triplet gap and, typically, only triplet carbenes react swiftly with triplet dioxygen. Hence, we deployed a careful theoretical study of this reaction and computed the oxygen addition barrier at levels of electron correlation as high as CCSD(T) and BD(TQ) and basis sets as large as cc-pV5Z. Our results firmly establish the existence of a reaction barrier, and we estimate its height to amount to 8.8 kcal mol−1. Furthermore, the initially formed triplet dioxygen adduct is prone to facile O–O bond breaking rendering phosgene and triplet oxygen atoms likely products of the overall reaction. As a general conclusion, we find that carbenes are ambiphiles in oxygen additions and more electrophilic as well as that more nucleophilic carbenes show greater reactivity.
While the singlet electronic ground state of dichlorocarbene is evident from the stereospecificity of its concerted cyclopropanation reactions,8 the actual magnitude of the singlet–triplet gap (ES–T) was under debate for a long time.9 This was reflected in a fruitful competition between experimentalists and theoreticians, in which the individually applied methods were pushed towards their frontiers.10 The initially presented singlet–triplet gap of only 3(3) kcal mol−1 from negative ion photoelectron spectroscopy (NIPES)11 stood in stark contrast to much higher values reported in rigorous theoretical studies.12–15 This scientific dispute incited a careful reevaluation of the experiment revealing a significant dichloromethyl carbanion contamination in the photoelectron spectra.9 Now, the improved experimental value after removal of the contaminant exhibits a good agreement with the best available theoretical estimate of approximately 20.1 kcal mol−1.15 A similar ambiguity still exists regarding dichlorocarbene's reactivity towards triplet molecular oxygen which we subject to critical scrutiny in the underlying manuscript.
Commonly, only triplet carbenes are expected to react rapidly with triplet molecular oxygen because this process corresponds to an overall spin-allowed, twofold radical recombination reaction affording singlet carbonyl O-oxide Criegee intermediates (R2CO+–O−).16–19 Yet, some singlet carbenes were still observed to react with molecular oxygen at experimentally relevant timescales in laser flash photolysis (LFP) studies, which is often explained by an initial thermal excitation of the carbene to its low-lying triplet state.20–23 In a similar vein, some highly electrophilic singlet carbenes like difluorovinylidene24,25 and 2H-imidazol-2-ylidene26,27 feature swift reactions with molecular oxygen even at cryogenic temperatures under matrix isolation conditions. However, a rapid oxygen addition reaction would usually not be expected for dichlorocarbene due to its high energy triplet state precluding an initial thermal excitation mechanism. Nonetheless, reactions of dichlorocarbene with triplet molecular oxygen were repeatedly reported in the literature. For instance, it was found that the phase-transfer catalyzed reaction of chloroform with sodium hydroxide under an atmosphere of oxygen provided suitable conditions for the preparation of oxo-manganese complexes which are active in epoxidation reactions.28,29 This was ascribed to the formation of dichlorocarbonyl O-oxide from CCl2 and O2 which in turn supposedly transfers an oxygen atom to the metal center. Carbonyl O-oxides are indeed potent oxygen atom transfer reagents,18 but the nature of the involved oxidant in these reactions eventually remains unclear. Under the employed hydrolysis conditions, the reaction of O2 with the trihalomethide anion seems to present a viable mechanistic scenario as well.
Another example is provided by the laser flash photolysis of dichlorodiazirine (2, Scheme 1) which serves as a cunningly prepared nitrogenous precursor for dichlorocarbene.30,31 When the diazirine is irradiated at a laser wavelength of 354 nm under ambient air, a transient absorption (λmax = 465 nm) with a lifetime of 0.5 μs is observed in the UV/visible spectrum.31 Since the spectral feature is absent when the reaction is performed under a nitrogen atmosphere, it is evident that the spectral carrier stems from a reaction with O2. The authors proposed that the nascent singlet dichlorocarbene swiftly adds molecular oxygen under spin-conserving and exoergic formation of a triplet Criegee intermediate 3CI (Scheme 1) which is supported by the absence of a reaction barrier at the PBE/6-311+G(d) level. The triplet intermediate subsequently relaxes to its singlet ground state mediated by a spin-orbit coupling of 10.4 cm−1 at a minimum energy crossing point (MECP) between the two involved electronic states. Utilizing Fermi's Golden Rule, the authors estimated a large intersystem crossing rate constant of 3.5 × 109 s−1 suggesting that the singlet Criegee intermediate 1CI causes the absorption at 465 nm (Scheme 1). Despite the convincing computational support, this assignment had to remain tentative because the transient could not be quenched with tetramethylethylene (TME), acetaldehyde or tris(trimethylsilyl)silane which are generally expected to act as scavengers towards carbonyl oxides like 1CI. In addition, an alternative theoretical assessment at the B3LYP/6-31G(d) level already finds an 11.8 kcal mol−1 free energy barrier for the CCl2 + O2 reaction in an overall triplet state.31 The presence of a non-negligible barrier for this reaction also seems to be in better agreement with an earlier gas-phase study by Tiee and others.32 These authors monitored the reaction of ground state dichlorocarbene with dioxygen at room temperature via laser-induced fluorescence and reported a second order rate constant of ≤ 3 × 10−15 cm3 molecule−1 s−1 several orders of magnitude below the collision rate limit.
Scheme 1 Preparation of dichlorocarbene 1via laser flash photolysis of dichlorodiazirin. In the presence of oxygen, a transient assigned to Criegee intermediate 1CI is observed. |
In consideration of the inconclusive previous experimental and computational results, we aimed to establish the existence of an enthalpic barrier in the CCl2 ( 1A1) + O2 (3Σ−g) reaction and pinpoint its magnitude at rigorous levels of theory. We additionally present an alternative reaction outcome from decomposition of the triplet Criegee intermediate 3CI and study the dependence of the 3O2 addition reaction on carbene philicity.
In order to obtain reliable electronic energies on top of the optimized structures, we performed a focal-point analysis in which the level of electron correlation and the basis set size are systematically increased.15,37 The convergence of the energy can then be judged from the incremental changes to the preceding, inferior level of theory. Therefore, we computed CCSD(T) single point energies with correlation consistent basis sets up to and including the sizeable cc-pV5Z basis set.38,39 The self-consistent field energies were extrapolated from three points with a Feller-type exponential function40 while the complete basis set (CBS) correlation energy was deduced from two points utilizing a Helgaker-type power law.41,42 Because only valence electrons are correlated in the focal-point table, we additionally evaluated the effect of core-correlation at the all-electron AE-CCSD(T)/cc-pCVTZ level of theory43,44 and calculated a correction according to the following equation:
In an alternative approach, we additionally computed the oxygen addition reaction with the complete active space self-consistent field (CASSCF) method and a cc-pVTZ basis set. This made it possible to further study the chemical transformation of interest in an overall singlet state which is heavily plagued by multireference issues. The chosen active space consisted of the carbene's σ and π frontier orbitals as well as two σ- and four π-orbitals in the case of the O2 molecule totaling to an overall CASSCF(10e, 8o) treatment. We accounted for dynamic electron correlation by computing NEVPT2/cc-pVTZ single point energies on top of the optimized structures with ORCA 4.36
In order to extend our studies of triplet oxygen addition reactions to other singlet carbenes, we additionally assessed the performance of some popular pure (PBE,49 BLYP50–52), hybrid (PBE0,53,54 B3LPY,55,56 M06-2X57), and double hybrid density functionals (B2PLYP58 and DSD-PBEP8659) together with a def2-TZVPP Ahlrichs basis set.60 Moreover, we tested the rather accurate CBS-QB361 and G462 composite energy schemes. All reported energies correspond to the summed electronic and zero-point vibrational energies, ΔH0, unless stated otherwise.
Method | ΔH‡0 (3TSadd) | r C–O (3TSadd) |
---|---|---|
a A transition state could not be localized. b From a focal-point analysis targeting the BD(TQ)/CBS//CCSD(T)/cc-pVTZ energy. | ||
PBE/6-311+G(d) | —a | —a |
PBE/def2-TZVPP | 0.0 | 2.63 |
BLYP/def2-TZVPP | 2.1 | 2.30 |
PBE0/def2-TZVPP | 4.7 | 2.07 |
B3LYP/6-31G(d) | 3.4 | 2.08 |
B3LYP/def2-TZVPP | 6.1 | 2.06 |
B3LYP(SMD:n-pentane)/def2-TZVPP | 5.7 | 2.06 |
B3LYP-D3/def2-TZVPP | 4.3 | 2.05 |
M06-2X/def2-TZVPP | 9.8 | 1.96 |
B2PLYP/def2-TZVPP | 10.0 | 1.99 |
DSD-PBEP86/def2-TZVPP | 11.6 | 1.96 |
CBS-QB3 | 6.7 | 2.02 |
G4 | 10.1 | 2.05 |
Best estimateb | 8.8 | 2.01 |
Employing the CCSD(T)/cc-pVTZ level of theory, we were able to optimize the oxygen addition transition state 3TSadd as depicted in the potential energy diagram in Fig. 1. The transition state corresponds to a sideways attack of the dioxygen molecule indicating that dichlorocarbene reacts as an electrophile via its vacant p-orbital. The 2.01 Å distance of the forming C–O bond is still rather long and the O–O bond distance has merely increased by less than 0.02 Å from its equilibrium value in the free O2 molecule. The associated barrier height amounts to 8.8 kcal mol−1 at the targeted BD(TQ)/CBS level of theory. As confirmed with the help of an IRC computation, the transition state is connected to the C1-symmetric triplet Criegee intermediate 3CIa. The previously reported bisected, Cs-symmetric triplet carbonyl oxide structure obtained with the PBE/6-311+G(d) model chemistry rather corresponds to a rotational transition state at the CCSD(T)/cc-pVTZ level although there is almost no energetic penalty associated due to the shallow C–O torsional potential.31 Triplet Criegee intermediate 3CIa exhibits an increased O–O bond length of 1.34 Å, while the C–O bond assumes a distance of 1.40 Å. This initial oxidation reaction step is exothermic by 11.2 kcal mol−1 at our highest level of theory.
Since we have a particular interest in the oxygen addition barrier height and its accuracy, we present the underlying focal-point analysis in Table 2. It can be seen that the Hartree-Fock energy is nearly converged with a triple-ζ basis set and amounts to 34.7 kcal mol−1 in the CBS limit. From there, the sophistication of the electron correlation treatment is systematically increased over MP2 and CCSD to CCSD(T). The incremental changes when going to higher levels of theory are all negative and decrease in absolute magnitude in each respective row of the Table. Therefore, one might use the absolute value of the best incremental δ(T) correction of 3.7 kcal mol−1 as a conservative error bar to the barrier height. However, the actual accuracy is probably much higher because the higher order correlation correction ΔBD(TQ) equals to only −0.2 kcal mol−1. Adding up all corrections, we obtain the final barrier height ΔH‡0(3TSadd) of 8.8 kcal mol−1. Such a sizeable enthalpic barrier is clearly inconsistent with a non-activated, diffusion-controlled oxygen addition reaction of dichlorocarbene.31 We note that the effect of solvation is unlikely to reduce the barrier height substantially, because the B3LYP barrier decreases by merely 0.4 kcal mol−1 when solvation in n-pentane is implicitly accounted for with the SMD model (Table 1).65
ΔEe(HF) | +δ MP2 | +δ CCSD | +δ(T) | NET | |
---|---|---|---|---|---|
ΔH‡0(3TSadd) = ECCSD(T) + ΔBD(TQ) + Δcore + ΔZPVE = (8.2 – 0.2 − 0.1 + 0.9) kcal mol−1 = 8.8 kcal mol−1 | |||||
cc-pVDZ | +32.9 | −13.5 | −6.1 | −2.3 | 11.0 |
cc-pVTZ | +34.4 | −16.8 | −4.5 | −3.1 | 9.9 |
cc-pVQZ | +34.6 | −17.8 | −4.2 | −3.4 | 9.1 |
cc-pV5Z | +34.6 | −18.3 | −4.2 | −3.6 | 8.7 |
CBS limit | [+34.7] | [−18.7] | [−4.2] | [−3.7] | [8.2] |
The triplet Criegee intermediate formed after traversal of transition state 3TSadd can exist in the form of two rotational isomers, 3CIa and 3CIb, the latter being more stable by 1.8 kcal mol−1 (Fig. 1). The two conformers can be interconverted via a C–O bond rotation passing through transition state 3TSrot with a barrier of 3.4 kcal mol−1. Alternatively, the isomerization can proceed more easily through inversion of the pyramidalized radical center on the carbon atom that comes with an energetic penalty of only 0.7 kcal mol−1. The IRC connects the inversion transition state 3TSinv with the bisected triplet carbonyl oxide that was identified as a transition state earlier. Hence, there must be a bifurcation in the reaction path after 3TSinv in the form of a valley-ridge inflection point leading to two possible enantiomeric forms of 3CIa. Generally speaking, the triplet carbonyl oxide is rather fluxional and conformational interconversions can proceed easily.
Once formed, the triplet Criegee intermediate 3CI can relax to its singlet ground state via efficient intersystem crossing, which has previously been described in detail31 and is not further assessed in this work. The resulting singlet Criegee intermediate 1CI is 37.7 kcal mol−1 more stable than the starting materials and sufficiently protected from cyclization to the isomeric dioxirane by a barrier of 17.5 kcal mol−1 (Fig. 1). Since it is well known that triplet Criegee intermediates exhibit low barriers towards O–O bond scission,66,67 we reckoned that this transformation might present a viable alternative reaction outcome. We remark that this thermal reaction is different from the frequently encountered photochemical dioxygen bond breaking event in carbonyl oxides.68–70 As expected, the attendant transition state 3TSO–O is only 1.8 kcal mol−1 higher in energy than the structurally similar triplet carbonyl oxide conformer 3CIb and isoenergetic to the initially formed conformer 3CIa. The bond breaking reaction is exothermic by 34.9 kcal mol−1 and leads to formation of phosgene and a ground state oxygen atom O (3P). Since this low-barrier reaction is also spin-conserving, it seems likely that the oxidation of dichlorocarbene mostly leads to a splitting of molecular oxygen. In this regard, it is tempting to reassign the unknown oxidant in the manganese-catalyzed epoxidation reactions28,29 described in the introduction to atomic oxygen in case it indeed stems from dichlorocarbene.71
Nonetheless, the oxygen addition reaction of CCl2 faces a considerable enthalpic barrier, which we would like to reassure once more in an alternative multireference description of the reaction. This might seem warranted because the T1 diagnostic assumes a value of 0.048 in transition state 3TSadd indicating a slightly enhanced multireference character. Therefore, we deployed NEVPT2//CASSCF/cc-pVTZ computations and obtained the results depicted in the potential energy diagram in Fig. 2. Although the carbene's singlet–triplet gap is predicted too low at 15.2 kcal mol−1, the oxygen addition reaction barrier of 7.6 and the exothermicity of 11.8 kcal mol−1 are in excellent agreement with our high-level single-reference treatment supporting the reliability of the reported results. Selected natural orbitals of the employed active space are depicted in the lower inset in Fig. 2 and their respective occupation numbers suggest that the C–O bond formation is already markedly advanced in 3TSadd with emerging radical centers on the former carbenic carbon atom and the dioxygen unit. Therefore, the transition state appears to be rather late with regards to the electronic structure despite the relatively long C–O distance of 2.11 Å in the optimized CASSCF structure. The associated electronic reorganization during the reaction might be a reason for the presence of a non-negligible enthalpic barrier in the reaction of interest.
Utilization of CASSCF theory also made it possible to study the oxygen addition reaction in an overall singlet state. The corresponding transition state 1TSadd can be optimized at the CASSCF level of theory and exhibits a wide 125° Cl–C–Cl angle comparable to the triplet carbene. However, the barrier gets submerged upon inclusion of dynamic electron correlation with NEVPT2 and the relative energy of 1TSadd with regards to the ground state reactants amounts to 12.5 kcal mol−1 which is significantly higher than the triplet state activation energy. The wave function of the transition state is rather complex with five configurations exhibiting weights exceeding five percent. Selected natural orbitals of the employed active space in the upper blue inset in Fig. 2 suggest that σ- and π-bonds form simultaneously in the emerging Criegee intermediate albeit to a different extent. Most interestingly, the transition state structure 1TSadd is not perfectly planar and an IRC computation reveals that the trajectory of the O2 attack is also sideways in the singlet state indicating an initial interaction with the unpaired π-electron of the carbene.
The sideways approach in the triplet transition state 3TSadd discussed earlier suggests that dichlorocarbene acts as an electrophile in its reaction with 3O2. While this is in good agreement with the previously observed enhanced reactivity of highly electrophilic singlet carbenes,25,26 nucleophilic N-heterocyclic carbenes (NHCs) were also reported to yield monoxidation products in their reaction with triplet molecular oxygen.72 Thus, it seems worthwhile to study the impact of substitution on the 3O2 addition reaction in order to develop an understanding which singlet carbenes can undergo facile oxidation reactions. We studied a set of 16 standard singlet carbenes spanning a broad range of Moss’ philicity scale and computed the triplet oxygen addition barriers and singlet–triplet gaps with the G4 method.73 Although the employed theoretical model overestimated the barrier by 1.3 kcal mol−1 in the case of dichlorocarbene (cf.Table 1), we deem the method more robust than other options and expect comparable errors across the studied cases. The obtained results are presented in Table 3 and Fig. 3.
Species | m CXY | E S–T | ΔH‡0 (3TSadd) |
---|---|---|---|
a 1,3-dimethylimidazolin-2-ylidene. b 1,3-dimethylimidazol-2-ylidene. | |||
Cl–C–Me | 0.58 | 10.6 | 3.3 |
Ph–C–Br | 0.64 | 6.5 | 3.9 |
Ph–C–Cl | 0.72 | 7.6 | 4.2 |
Br–C–Br | 0.82 | 16.6 | 8.6 |
Cl–C–SMe | 0.91 | 25.9 | 13.0 |
Ph–C–F | 0.96 | 16.8 | 6.1 |
Cl–C–Cl | 0.97 | 20.6 | 10.1 |
Cl–C–F | 1.22 | 35.4 | 13.7 |
F–C–F | 1.47 | 56.2 | 19.5 |
Cl–C–OMe | 1.59 | 40.5 | 15.6 |
F–C–OMe | 1.85 | 56.9 | 19.4 |
MeO–C–OMe | 2.22 | 57.2 | 17.4 |
MeO–C–NMe2 | 2.91 | 57.4 | 15.6 |
Me2N–C–NMe2 | 3.60 | 44.5 | 10.6 |
SIMe2a | — | 71.5 | 16.9 |
IMe2b | — | 86.9 | 23.0 |
Fig. 3 3O2 addition barriers to various carbenes CXY at the G4 level as a function of the carbene's philicity index mCXY. The gray line is guiding the eye. |
We find that carbenes with narrower singlet–triplet gaps often show an enhanced reactivity towards the addition of triplet molecular oxygen. However, there is no strong correlation and other factors governing carbenic reactivity must play a role, too (Fig. S23, ESI†). The dependence of the barrier on the philicity index plotted in Fig. 3 shows that more electrophilic carbenes indeed exhibit a higher oxygen addition reactivity. The oxidation of the electrophilic phenylchlorocarbene, Ph–C–Cl, to its corresponding Criegee intermediate has been reported to proceed within several hours at 38 K in oxygen doped argon matrices.74 Assuming a comparable overestimation of the barrier height by the G4 method brings the computed value of 4.2 kcal mol−1 into reasonable agreement with the experiment. Going to higher selectivity, ambiphilic carbenes with a philicity index mCXY in the range of 1.5–2.2 are most reluctant to undergo oxygen addition reactions. Curiously, even more selective nucleophilic carbenes again show a decrease in barrier height indicated by the gray line in Fig. 3 which is supposed to guide the eye. We conclude that carbenes behave as ambiphiles towards molecular oxygen and electron density can be transferred both ways from the carbene to O2 and vice versa.72 Hence, more electrophilic and more nucleophilic carbenes display an increased oxidation reactivity. Yet, the effect is more pronounced for electrophiles.
The triplet Criegee intermediate 3CI, that is initially formed during the 1CCl2 + 3O2 reaction, can undergo a facile O–O bond breaking reaction with almost no barrier in addition to the spin-state change to its respective singlet ground state Criegee intermediate. The products of this competing reaction pathway are phosgene and triplet oxygen atom. It will present a formidable challenge to provide firm experimental evidence71 for the occurrence of this reaction step in the future. Since singlet carbenes show ambiphilic reactivity towards 3O2, it is likely that not only more electrophilic carbenes than phenylchlorocarbene74 will provide access to Criegee intermediates under matrix isolation conditions, but also highly nucleophilic carbenes can lead to oxidation products when exposed to molecular oxygen.
Footnote |
† Electronic supplementary information (ESI) available. See DOI: https://doi.org/10.1039/d2cp03889g |
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