1. Introduction
Due to its versatility, the Diels–Alder (DA) reactions are one of the most widely used chemical reactions today. These reactions have become the best practice for the creation of regio-, stereo-, and enantioselective six-membered rings [
1], which explains the high interest in increasing the rate and selectivity of these reactions. Besides their applicability in organic synthesis and natural product synthesis, the reversibility of these cycloaddition reactions makes them interesting candidates for use in macromolecular synthesis, e.g., offering the possibility to recycle or repair polymer network materials. Their many applications highlight the need to better understand what influences the kinetics [
2]. In this work, the influence of non-covalently bonded catalysts on the DA kinetics was analyzed (see
Scheme 1).
It is widely known that Lewis acids, such as AlCl
3 [
3], BF
3, TiCl
4 [
4], EtAlCl
2, and many more [
1], can catalyze the DA reaction by binding to the dienophile [
5]. Furthermore, in the past decade, much research focused on how non-covalent interactions can stabilize the transition state and thus lower the reaction barrier [
6]. Diels–Alder catalysis through non-covalent interactions brought to light a whole range of possible catalysts. Hydrogen bonds in substituted thioureas, for example, were shown to have a large rate enhancement (1–30 times) for a set of Diels–Alder reactions [
7]. For these systems, it was shown that the lower interaction compared to Lewis acids was actually an advantage, as it avoided product inhibition. Even when Diels–Alder reactions were performed in hydrogen-bonding solvents, catalysis was observed, and the relative yield of the reaction increased as well [
8]. However, the effectiveness of a non-covalent catalyst depends more on the type of substituents rather than on the solvent used [
7].
Non-covalent catalysis can also be obtained via interaction with the σ holes of halogen-, chalcogen-, and pnictogen-based catalysts [
9]. The σ hole is a region of positive potential, found along the axis of a covalent bond between, for example, the chalcogen atom and the remaining structure. It was only very recently that these catalysts gained interest, and the exact driving force behind the catalysis has yet to be identified. The number of σ holes and their accessibility differ for halogens, chalcogens, and pnictogens, and their strength will increase when going from left to right in the periodic table [
9]. Both computationally and experimentally [
10,
11,
12,
13], halogen catalysts of different nature were shown to accelerate DA reactions by lowering the activation barrier up to 15 kcal mol
−1 [
14]. The effectiveness of the catalyst was related to the strength of the formed non-covalent bond and increased going from Cl to I species [
15]. Chalcogen catalysts were shown to increase the reaction rate of the DA reaction [
16], reaching a factor well beyond 1000 for a reaction between quinolines and imines [
17]. Computational studies predicted the pnictogen catalysts to be even more active than halogen and chalcogen catalysts [
18,
19] for DA reactions with α,β-unsaturated ketones, while the opposite was shown for 1,3 butadiene and methyl acrylate DA reactions [
20].
Traditionally, the catalysis via Lewis acids was ascribed to the lowering of the LUMO level of the dienophile, increasing the orbital interactions between the diene and dienophile [
21]. In 2008, conceptual density functional theory was used on the Lewis acid catalyzed isoprene–acrolein DA reaction. The authors found that the Lewis acids significantly decreased the LUMO energy of acrolein and increased the dienophile’s electrophilicity, yielding a good linear correlation with the activation energies [
22]. In more recent studies, however, Bickelhaupt and co-workers have shown that the catalysis may be caused by the reduction in Pauli repulsion of the π-molecular orbitals [
23], rather than improved orbital interactions. These findings were based on the activation strain model (ASM), which allows differentiating between the strain energy ∆E
strain(ζ) and the interaction energy ∆E
int(ζ), both defined along the reaction coordinate ζ. The interaction energy can then be further decomposed into contributions of Pauli repulsion energy, electrostatic energy, orbital energy, and dispersion energy using a Ziegler-Rauk-type energy decomposition analysis (EDA). The authors demonstrated that the HOMO(diene)–LUMO(dienophile) interaction is indeed more favorable for a Lewis acid-catalyzed DA reaction. However, the HOMO(dienophile)–LUMO(diene) interaction is weakened to a similar degree, making the total orbital interactions of the catalyzed and uncatalyzed reactions comparable in magnitude. They also observed a clear difference in strain energy between the uncatalyzed and catalyzed reactions, with less strain for the latter, which they ascribed to an increasing asynchronicity of the DA reaction. In 2021, Vermeeren et al. showed that electronic reaction barriers of the DA reaction between cyclopentadiene and acroleine could be lowered by up to 7 kcal mol
−1 using bifunctional hydrogen-bond organocatalysts, again due to a lowering of the Pauli repulsion between the closed-shell filled π orbitals of the diene and dienophile [
24]. In addition, a shift from endo to exo selectivity was seen upon catalysis, which could be connected to a diminished strain energy for the latter caused by increased asynchronicity of the exo DA reaction. This was confirmed in a study performed by Yepes et al. on the effect of the bulkiness of the Lewis acid catalyst on the exo selectivity of DA reactions with acyclic dienes. Exo selectivity was the result of increased electrostatics and dispersion interaction energies, next to reduced strain energy [
25]. Another study by Portela et al. reported similar findings for bidentate iodine-based halogen donors, as their quantitative analysis using ASM showed that the catalysis also originates from a reduction in Pauli repulsion between the diene and dienophile [
26].
The goal of this study is to extend the novel findings by Bickelhaupt and co-workers for various types of non-covalent Lewis acid-like organocatalysts in combination with yet unexplored DA reactions since the magnitude of these non-covalent interaction energies can have different origins and the type of DA reaction may have a significant effect as well. The effectiveness of the catalysts will be examined based on the Gibbs free energies of activation. Furthermore, the mechanism behind the catalysis will be scrutinized using different computational techniques and research problem perspectives. In the ASM approach, potentially governing physical factors between the uncatalyzed and catalyzed reactions are evaluated along a reaction energy profile. This is completed using a suitable projection of the reaction coordinate, for example, the shorter of the two newly forming DA bonds. In our alternative perspective, focus is put on the transition-state geometry for the catalyzed reaction, and one tries to find an answer to the following research question: which physical factors govern the catalytic effect in the newly adopted transition-state geometry?
Three different DA reactions were studied in the gas phase (
Scheme 2), a (hetero-)DA reaction between benzaldehyde (BEN) as a dienophile and 2,3-dimethyl 1,3-butadiene (DMB) as a diene (reaction 1), between methyl vinyl ketone (MVK) and cyclopentadiene (CP) (reaction 2), and between methylene imine (IM) and 1,3-butadiene (BD) (reaction 3), all for endo adduct formation. Aside from reaction 2, the analyzed hetero-DA reactions in this work are unalike from those studied by Vermeeren et al. [
23,
24] since the geometry of the catalyzed and uncatalyzed transition states is very different, as will be discussed vide infra.
The used catalysts are shown in
Figure 1. For all three reactions, we considered 13 catalysts: (I) a classical Lewis acid, BF
3; (II) two hydrogen-bond catalysts, the positively charged imidazolium (H_cat) [
15] and a neutral bidentate hydrogen-bond donor (H2_cat) [
7]; (III) three imidazolium-substituted catalysts [
12,
15] with the halogens chlorine (Cl_cat), bromine (Br_cat), and iodine (I_cat); (IV) four chalcogen-bond donors, of which two are the bidentate sulphur-donor catalysts [
17] S2_rigid_cat and S2_flex_cat, which display a difference in the rigidity of the molecular framework, as well as the monodentate Se_cat and Te_cat [
17], both substituted with electron-withdrawing pentafluorophenyl groups; and finally, (V) three pnictogen-bonding catalysts [
17] that show a variation in pnictogen atoms, going from phosphorus (P_cat) over arsenic (As_cat) to antimony (Sb_cat) in order to establish a possible trend in strength when moving down in the periodic table. In addition, for reaction 2 between MVK and CP, we included a bulky but neutral halogen-bond catalyst involving three iodine atoms that could potentially form three halogen bonds with the dienophile (I3_cat) [
14]. All the mentioned non-covalent-bonding donors have been reported in the literature as possessing (potential) catalytic activity. Thanks to this wide range of different types of interactions, a more detailed analysis of the influence of the non-covalent bonding strength on the possible acceleration of the Diels–Alder reaction rates can be conducted. However, in this study, we restrict ourselves to gas-phase reactions whereas, experimentally, most reactions occur in solution.
3. Materials and Methods
The systems were studied in the gas phase using density functional theory (DFT). The geometry optimizations and vibrational frequency analyses were carried out with the M06-2X functional [
30] combined with cc-pVDZ [
31] as a basis set, as implemented in the Gaussian 16 software [
32]. For the heavy elements considered in this work, i.e., I, Te, and Sb, pseudopotentials were used to describe the core electrons, allowing the implicit inclusion of relativistic effects [
33]. It was verified that transition-state structures are characterized by a single imaginary frequency, and subsequent intrinsic reaction coordinate (IRC) path calculations confirmed the connection of all stationary points on the PES. Refined electronic energies were obtained using M06-2X with additional Grimme D3 dispersion [
34] and the cc-pVDZ(-PP), cc-pVTZ(-PP), cc-pVQZ(-PP) basis sets by extrapolating to the complete basis set (CBS) limit using the Feller three-point extrapolation [
35,
36], thus avoiding basis set superposition error.
Although the more empirical M06-2X functional already incorporates a significant amount of dispersion, M06-2X-D3 still performs better in many cases. The different parameters in the Grimme dispersion correction D3 as part of the M06-2X-D3 functional have been tuned for this DFA [
37]. M06-2X-D3 is rated as the best hybrid functional in the GMTKN30 database study for general main group thermochemistry, kinetics, and non-covalent interactions, which also includes barrier heights of pericyclic reactions and reaction energies of Diels–Alder reactions. In addition, we have used the same level of theory in a previous study [
38], for which we benchmarked M06-2X-D3/CBS against CCSD(T)/CBS data for the endo and exo Diels–Alder reactions between furan and maleimide, with identical results for the energy barriers.
The systems were further analyzed using molecular electrostatic potential (MEP) maps and non-covalent interaction index (NCI) plots [
39] at the M06-2X-D3/cc-pVDZ(-PP) level of theory. The Ziegler-Rauk-type energy decomposition analysis (EDA) [
40,
41,
42], the activation strain model (ASM) [
43] analyses using the PyFrag 2019 (version 0.1.0) software [
44], and the natural orbitals for chemical valence (NOCV) [
45] analysis of the Gaussian16-optimized structures were computed using the PBE/TZ2P (small core) level of theory [
46,
47,
48] in combination with the dispersion correction Grimme’s D3 method, using the Amsterdam Modeling Suite (AMS) [
49]. Relativistic effects were considered by using the zeroth-order regular approximation (ZORA) [
50]. The levels of theory used for the quantum-chemical analysis tools are based on previous work in our group [
27,
51,
52], in which non-covalent interactions were analyzed in a similar fashion as the current study. In particular, the PBE functional was selected because it is as good as dispersion-correction free, allowing for a correct quantification of the dispersion energy term in EDA via Grimme’s D3 correction.
4. Conclusions
In this study, we tried to elucidate the potential catalytic effect of Lewis acid BF3 and a variety of non-covalent-bond donors on three (hetero-)Diels–Alder reactions. We considered hydrogen-, halogen-, chalcogen-, and pnictogen-bond systems, which have been proposed in the literature for their (potential) catalytic capacity in cycloaddition reactions. First, the stability of the catalyst–dienophile complex was examined. At 25 °C, reactant complex formation was not always favored, with the hydrogen-bond-donor and iodine catalysts forming the most stable complexes. The interaction energy can be mainly attributed to strong electrostatic interactions between the catalyst and the dienophile, though orbital interactions also constitute a significant part for the most stabilized complexes. For H_cat, we also noted reduced Pauli repulsion energy, in comparison to the other potential catalysts. After addition of the diene, about half of the non-covalent-bond donors catalyze reactions 1 (benzaldehyde + 2,3-dimethyl 1,3-butadiene) and 2 (methyl vinyl ketone + cyclopentadiene), whereas for reaction 3 (methylene imine + 1,3-butadiene), only the Lewis acid BF3 and halogen-bond-donor I_cat accelerate the reaction. We found that the most stabilized catalyst–dienophile complexes also yield the largest reductions in Diels–Alder activation energies.
For a wide variety of chemical reactions, the activation strain model of reactivity, combined with a Ziegler-Rauk-type energy decomposition analysis, has been applied to gain valuable information on which physical factors influence the reactive system. Very recently, Diels–Alder catalysis via Lewis acids or hydrogen-bond donors has been explored by Vermeeren et al. [
23,
24], for which the authors concluded that catalytic activity can be associated with Pauli repulsion reduction rather than increased orbital interactions. However, in our study of two hetero-Diels–Alder reactions (reactions 1 and 3), the inclusion of a catalyst was shown to largely affect the degree of asynchronicity of the reaction, even to such an extent that the uncatalyzed and catalyzed transition-state geometries were located at very different points along the reaction coordinate’s projection. Following the ASM principle and thus evaluating the interaction energy contribution curves at a consistent geometry, i.e., at the same value for the reaction coordinate’s projection, can sometimes lead to results open for interpretation since geometries are compared at a different stage in the bond formation process. We therefore opted for the following approach: a one-to-one comparison between EDA values in the presence and absence of the catalyst, both taken at the geometry of the catalyzed transition state, ignoring geometry changes but ensuring consistency in geometrical variables. We discovered that, upon catalysis, Pauli repulsion can either be reduced, enhanced, or of no significance depending on the diene–dienophile combination and the catalyst used. In all cases, however, orbital interactions were improved upon addition of the catalyst. In most cases, electrostatics and dispersion played only a minor role. The results were corroborated by a detailed look at the molecular orbital diagrams. We demonstrated that enhanced normal-electron-demand orbital interactions dominate diminished inverse-electron-demand orbital interactions and that Pauli repulsion can be increased when additional occupied π-MOs are formed between the catalyst and dienophile that can overlap with the occupied π-MO of the diene. This method gives different insights into the catalysis of DA reactions with non-covalent catalysts and shows an alternative, yet complementary approach to the original ASM/EDA method.
Finally, we would like to stress that we focused on the unperturbed, intrinsic effect of Lewis acid and non-covalent catalysts on the (hetero-)Diels–Alder reaction, i.e., without considering solvation effects or counterions, in the case of the cationic hydrogen- or halogen-bond catalysts. Wittkopp and Schreiner [
7], for example, found that the catalytic effectiveness of their neutral bidentate hydrogen-bond donor for the DA reaction between methyl vinyl ketone and cyclopentadiene is largest in nonpolar solvents, such as in cyclohexane, but is present in polar solvents as well. Jungbauer and co-authors [
53] observed the catalytic effect of the cationic iodine catalyst for the same DA reaction in deuterated dichloromethane. We expect that the presence of solvent molecules may not only induce geometrical changes but also alter the energetic contributions associated with the different physical factors as quantified by an energy decomposition analysis. Although out of the scope of this study, there exist ways to include solvation effects in the EDA. One possibility is to incorporate more and more solvent molecules explicitly in a stepwise manner [
54]. A second option is to make use of a thermochemical cycle, with the solvent treated as a third agent. The energy profile of the solution phase is then decomposed into a solute term—in which the reaction partners are considered in vacuum, though, in their solution-phase geometries—and a solvation energy term. More information on this approach can be found in Ref. [
55].