David Guijarro
Departamento de Química Orgánica, Facultad de Ciencias and Instituto de Síntesis Orgánica (ISO), Universidad de Alicante, Apdo. 99, 03080 Alicante, Spain. E-mail: dguijarro@ua.es
First published on 3rd September 2025
The mechanism of the diastereoselective addition of ethylmagnesium bromide to (S)-N-benzylidene-2-methylpropane-2-sulfinamide in CH2Cl2 has been studied by DFT calculations using a model that involves an explicit molecule of diethyl ether (coming from the Grignard reagent solution) coordinated to the magnesium atom. Several reaction pathways have been investigated and the energy profiles obtained for the preferred routes lead to an estimated diastereomeric ratio that matches very well with the experimental data. This new mechanistic model gives a plausible explanation of the diastereoselectivity obtained in the reaction.
Computational chemistry has shown to be a powerful toolkit for exploring the mechanistic pathways and energetics of organic reactions. By employing methods such as density functional theory (DFT) calculations, we can gain insights into transition structures, intermediate species and energy profiles of a variety of processes. Such computational studies can complement the experimental efforts to find the mechanism of a reaction and can also provide predictive capabilities that could lead to the design of more efficient synthetic routes. The mechanism of the addition of MeMgBr to (S)-N-benzylidene-2-methylpropane-2-sulfinamide has been studied by DFT calculations by Eisenstein et al.3 Solvation effects (THF) were evaluated by the SMD method, not including explicit solvent molecules in their mechanistic model. Although their results indicate that the sulfinamide with the (SS,R)-configuration would be the preferred diastereoisomer, the difference of 9.0 kcal mol−1 between the transition structures corresponding to the two diastereomeric products suggests that the (SS,R)-product would be exclusively formed, which is not in agreement with the experimental diastereomeric ratio (SS,R):
(SS,S) of 93
:
7. As part of one of our ongoing research projects, I was interested in trying to find a mechanistic model for the addition of EtMgBr to the (S)-N-benzylidene-2-methylpropane-2-sulfinamide that more closely fitted the experimentally obtained results. Since Ellman et al. found that the best diastereoselectivities were obtained using CH2Cl2 as solvent, I decided to perform theoretical calculations in that medium. Considering that a solution of EtMgBr in Et2O was used in Ellman's experiment, the coordination of a molecule of Et2O to the magnesium atom in the transition structure would be very likely. Thus, I thought about a mechanistic model that included an explicit molecule of Et2O. The results of this comprehensive computational study are presented herein.
First, I decided to evaluate the effect of the solvent on the diastereoselectivity in the model that was studied by Eisenstein et al. for the addition of MeMgBr to the same imine,3 since they used THF and I was interested in the reaction in CH2Cl2. From the possible routes studied by them, I chose the transition structure with lowest energy for the formation of every diastereomeric product and applied a similar model for the formation of addition products 2 and 3 (Scheme 1). The two pathways that I studied are depicted in Scheme 2, in which tentative forms for the transition structures TS 1-2 and TS 1-3 have been included. DFT calculations [B3LYP-D3/6-31G(d,p)] were performed considering solvent effects in CH2Cl2 by the SMD method. The geometries of the obtained transition structures are shown in Fig. 1. Both TS 1-2 and TS 1-3 show a boat-like arrangement for the six atoms involved in the reaction. The magnesium atom is coordinated to the oxygen atom of the sulfinyl group, approaching the ethyl group to the electrophilic carbon of the imine. After performing an intrinsic reaction coordinate (IRC) analysis, the corresponding reactive complexes R2 (for TS 1-2) and R3 (for TS 1-3) were obtained (see Fig. 1). Both R2 and R3 present an s-trans geometry in the imine moiety and are formed by coordination of the magnesium atom to the oxygen atom of the sulfinyl group, differing in the spatial orientation of the Br atom and the Et group in relation to a hypothetical plane containing N, S, O and Mg atoms.
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Scheme 2 Reaction pathways studied for the addition of EtMgBr to imine 1 without the participation of Et2O molecules. |
Fig. 1 shows the energy profiles and the optimized molecular structures13 for the two possible reaction pathways. The starting point are separated EtMgBr and the imine with the s-cis conformation 1′.14 The imine would change its conformation to s-trans 1, which is only 4.2 kcal mol−1 higher in energy and it is the precursor of the reactive complexes. Coordination of EtMgBr to 1 leads to the two possible reactive complexes R2 and R3 with a considerable fall in energy (21.0 and 20.8 kcal mol−1, respectively). R2 and R3 are almost isoenergetic. The addition reaction is thermodynamically favored in both cases. The activation barrier for the formation of 2 (16.7 kcal mol−1) is considerably lower than the one for the generation of 3 (23.9 kcal mol−1). The difference between these two activation barriers is 7.2 kcal mol−1, which suggests that only product 2 with the R-configuration in the stereogenic carbon atom would be formed, which is not in agreement with the experimental diastereomeric ratio of 92:
8. Therefore, the change of the solvent from THF (Eisenstein et al.3) to CH2Cl2 (this work) leads to the same conclusion that the (SS,S) diastereoisomer should not be detected, which is not the case. Since the s-cis conformation of imine 1′ is more stable than the s-trans, I also studied two more reactive complexes with the s-cis conformation, but their energies were almost the same as the ones of R2 and R3, not leading to any significant variation of the reaction barriers to reach TS 1-2 and TS 1-3 (see the SI for details). These results encouraged me to try to find another mechanistic model that would better fit the experimental diastereoselectivity.
Considering that a solution of EtMgBr in Et2O was used in Ellman's experiment, the coordination of a molecule of Et2O to the magnesium atom in the reactive complex, in the transition structure and in the product would be very likely. Therefore, I contemplated the introduction of an explicit molecule of Et2O to the mechanistic model.15 Although the E imine mainly exists in its s-cis form 1′ in solution in CH2Cl2, since the barrier for its conversion to the s-trans form 1 is only 6.4 kcal mol−1 (see the SI for details), I considered reactive complexes 4′ and 6 (Schemes 3 and 4) as possible precursors of the addition products. On the other hand, although the Z imines are more unstable than 1′ or 1, I also contemplated possible routes to the addition products through transition structures involving an imine moiety with Z configuration in order to check if the formation of the reactive complexes had any influence on the kinetics for the isomerization of the CN bond via nitrogen inversion.
First, DFT calculations showed the thermodynamic feasibility of the generation of reactive complexes with a coordinated molecule of Et2O 4′ and 6 (see the SI for details), which differ in the conformation of the imine moiety. I envisioned two alternative routes for the conversion of 4′ into the (S) addition product 5 (Scheme 3). The most direct way is the generation of TS 4′-5, which would then evolve to the final product 5 (red arrows in Scheme 3). The second approach involves isomerization of the CN bond by inversion of the N atom, giving structure 4Z through TS 4′-4Z, followed by formation of the transition structure for the addition step, TS 4Z-5, and evolution to product 5 (green arrows in Scheme 3).
Fig. 2 shows the energy profiles for these two routes and the optimized geometries of all the species that participate. Complex 4′ could isomerize to 4Z by inversion of the N atom via transition structure TS 4′-4Z, which is 20.0 kcal mol−1 higher in energy than 4′ and in which the CN–S subunit presents an almost linear geometry (angle 165.5°). The transition structure for the transfer of the ethyl group from Mg to the iminic carbon, TS 4Z-5, could then be formed and the atoms involved in the reaction show a boat-like shape, with a probable coordination of the N atom to Mg. This transition structure lies 20.9 kcal mol−1 above 4′. Creation of the ethyl–carbon bond leads to the final (S) addition product 5, which is 36.4 kcal mol−1 more stable than 4′. In product 5, N, S, O and Mg atoms form a four-membered ring by coordination of the sulfinyl O to Mg.
On the red pathway, complex 4′ directly leads to the transition structure for the addition reaction, TS 4′-5, which is 15.1 kcal mol−1 higher in energy than 4′. When it evolves to the addition product, a stationary point is found with structure 9 (see Fig. 2), in which N and Mg atoms are quite separated from each other (distance 3.38 Å). Species 9 is 21.4 kcal mol−1 higher in energy than the addition product 5, which indicates that coordination of Mg to both N and the O of the sulfinyl group highly stabilizes the addition product. In fact, starting from 9, approaching Mg to N and performing an optimization of the geometry led to product 5. This red route has a lower barrier (15.1 kcal mol−1) than the green one (20.9 kcal mol−1), the difference between them being 5.8 kcal mol−1, which suggests that the formation of product 5 will occur exclusively through TS 4′-5.
Concerning the transformation of complex 4′ into the (R) addition product 7, two alternative routes were also planned (Scheme 4). First, 4′ could easily change its conformation to the s-trans arrangement of 6. From reactive complex 6, the shortest way would be generation of transition structure TS 6-7 and evolution to product 7 (blue arrows in Scheme 4). The other proposed route requires the isomerization of the CN bond to give complex 6′Z through transition structure TS 6-6′Z, followed by formation of the transition structure for the addition of the ethyl group by the Re face of the iminic carbon, TS 6′Z-7, that would finally give product 7 (yellow arrows in Scheme 4).
The energy profiles for these two pathways and the optimized geometries obtained from the DFT calculations are depicted in Fig. 3. The variation of the dihedral angle CN–S
O of reactive complex 4′ to the s-trans structure 6 should be very easy, with a barrier of only 3.2 kcal mol−1. Complex 6 is only 1.2 kcal mol−1 less stable than 4′. Partial creation of the new bond between the ethyl group and the iminic carbon, together with coordination of the N atom to Mg, leads to the boat-like transition structure TS 6-7, which lies 13.8 kcal mol−1 above 4′ and evolves directly to the (R) addition product 7. This product is isoenergetic with its diastereoisomer 5 and presents the same coordination of the O of the sulfinyl group to Mg as the latter.
The alternative yellow route from 6 to 7 is a two-step process. First, 6 isomerizes to 6′Z by inversion of the N atom through transition structure TS 6-6′Z, which is 19.8 kcal mol−1 higher in energy than 4′. The barrier for this isomerization is almost identical to the one found before in the transformation 4′ → 4Z (see Fig. 2) and a quasi-linear arrangement of iminic carbon, N and S atoms is also observed in TS 6-6′Z (angle 174.5°, Fig. 3). The transfer of the ethyl group takes place from the complex with a Z imine moiety 6′Z, to give the final product 7 through transition structure TS 6′Z-7. The barrier for this two-step process (27.9 kcal mol−1) is much higher than the one for the blue profile in Fig. 3 (13.8 kcal mol−1). Therefore, the conversion of 4′ to 7 through TS 6-7 is kinetically much more favored.
The transition structures of lowest energy for the formation of every diastereomeric product, TS 4′-5 and TS 6-7 are shown together in Fig. 4 for an easier comparison of them. The six atoms of TS 4′-5 involved in the reaction show a cyclohexene-like half-chair structure. Atoms N, S, O1 and Mg are almost coplanar (dihedral angle 3.7°), C1 is located below that plane (dihedral angle C1–N–S–O1 −21.3°) and C2 is above that plane (dihedral angle S–O1–Mg–C2 −32.8°). TS 6-7 is a boat-like transition structure in which C1, C2, S and O1 act as in-plane atoms and N and Mg act as out-of-plane atoms. The short N–Mg distance (2.47 Å) suggests that there is a coordination between these two atoms, which may stabilize the transition structure. The possibility of having this N–Mg interaction could be an important factor influencing the relative energies of the transition structures, since the Mg atom is coordinated to both N and O1 in both products 5 and 7 (see Fig. 2 and 3). Due to that N–Mg interaction, Mg atom in TS 6-7 is pentacoordinated,16 with a slightly distorted trigonal bipyramidal structure in which N and O2 occupy the apical positions and C2, O1 and Br occupy the equatorial positions (see Fig. 4). In TS 4′-5, the N–Mg distance (3.24 Å) is quite longer than in TS 6-7 and the interaction between these two atoms seems not to be possible in the former, since the Mg atom is tetracoordinated with a quasi-tetrahedral structure (see some relevant angles around Mg in TS 4′-5 in Fig. 4).
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Fig. 4 Comparison of the optimized structures TS 4′-5 and TS 6-7. (Color of atoms: C, grey; H, white; N, blue; O, red; S, yellow; Mg, green; Br, dark red). |
With the aim of trying to get more insight about the source of the difference in energy between the two transition structures, an investigation of non-covalent interactions17 was performed and they are represented in Fig. 5. Both transition structures show strong attractive interactions between Mg and the O of the Et2O molecule, the O of the sulfinyl group and the Br atom. Moreover, TS 6-7 shows a weak attractive Mg–N interaction, which supports the idea that a coordination between these two atoms has already started in the transition structure, giving it a boat-like shape. This Mg–N interaction can contribute to the stabilization of TS 6-7 in relation to TS 4′-5, in which it is not observed.
The deformation energy and the interaction energy18 for both transition structures have also been computed considering two interacting subunits: the sulfinyl imine on one hand and the Grignard reagent coordinated to the Et2O molecule on the other hand (see the SI for details). The obtained results are shown in Fig. 6. The interaction energy for TS 4′-5 is higher than the one for TS 6-7. This is reflected in the distances between the interacting atoms, which are shorter in the former transition structure [C1–C2 = 2.28 Å (for TS 4′-5) and 2.43 Å (for TS 6-7); O1–Mg = 1.96 Å (for TS 4′-5) and 2.02 Å (for TS 6-7); see atom labels in Fig. 4]. Concerning the deformation energy, it is also considerably higher for TS 4′-5 than for TS 6-7 (Fig. 6). Comparing the geometries of the two transition structures and 4′, we can see some features that could contribute to the difference in the deformation energies of the two transition structures: (a) the angle Ph–(CN)–H is almost equal for 4′ and TS 6-7 (115.2° and 115.7°, respectively), while it is narrower for TS 4′-5 (110.2°); (b) the distance between the iminic H and the closest H of the tert-butyl group is 3.00 Å for 4′, being shorter in TS 4′-5 (2.27 Å, higher steric hindrance) and longer in TS 6-7 (4.21 Å, lower steric hindrance); (c) the dihedral angle between the iminic carbon atom and the tert-butyl group is 108.0° in TS 4′-5 and 165.0° in TS 6-7, being in an almost antiperiplanar arrangement in the latter (less steric hindrance). The fact that the difference between TS 4′-5 and TS 6-7 in the deformation energies (8.7 kcal mol−1) is bigger than in the interaction energies (−6.8 kcal mol−1) determines de final energy order of the transition structures.
As it can be seen in Fig. 2 and 3, there is a big fall in energy from the favored transition structures to the addition products (51.5 kcal mol−1 for TS 4′-5 and 50.1 kcal mol−1 for TS 6-7), and this step can be considered irreversible. Therefore, it seems that the diastereoselectivity is governed by a kinetic control. The reactions of formation of both addition products are very exergonic: 5 and 7 are 36.3 kcal mol−1 more stable than 4′. The addition of EtMgBr to N-(tert-butylsulfinyl)benzaldimine in CH2Cl2 is thus a thermodynamically favoured process.
The difference between the activation barrier to overcome TS 4′-5 and the one for TS 6-7 is 1.3 kcal mol−1, which corresponds to a diastereomeric ratio (SS,R):
(SS,S) of 90
:
10. This value is very close to the experimental result of 92
:
8. Therefore, the new mechanistic model that has been developed here fits quite well the diastereoselectivity obtained experimentally.
In order to evaluate the effect of the temperature in the computational study, since the experimental diastereomeric ratio of 92:
8 had been obtained in a reaction performed at −48 °C, geometry optimizations and Gibbs free energy calculations for all the species involved in the red route of Fig. 2 and the blue pathway of Fig. 3 were repeated considering a temperature of 225.15 K.19 The geometries obtained at that temperature were practically identical to the ones that had been represented in Fig. 2 and 3. Using the new energy values at that temperature, the two activation barriers to overcome transition structures TS 4′-5 (14.5 kcal mol−1) and TS 6-7 (13.0 kcal mol−1) differ now in 1.5 kcal mol−1, which leads to a calculated diastereomeric ratio (SS,R)
:
(SS,S) of 93
:
7 that matches very well the experimental result.
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