# Mechanism and Optimization of Ruthenium-Catalyzed Oxalamide Synthesis Using DFT

Roger Monreal-Corona, Nicolas Joly, Sylvain Gaillard, Jean-Luc Renaud,

Marc Valero, Enric Mayolas, Anna Pla-Quintana, Albert Poater

► To cite this version:

Roger Monreal-Corona, Nicolas Joly, Sylvain Gaillard, Jean-Luc Renaud, Marc Valero, et al.. Mechanism and Optimization of Ruthenium-Catalyzed Oxalamide Synthesis Using DFT. Dalton Transactions, 2025, 10.1039/D4DT03182B. [DOI to be added when article is published.]

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Cite this: *Dalton Trans.*, 2025, **54**,
1655

Received 13th November 2024,

Accepted 5th December 2024

DOI: 10.1039/d4dt03182b

rsc.li/dalton

# Mechanism and optimization of ruthenium-catalyzed oxalamide synthesis using DFT†

Roger Monreal-Corona, <sup>ID‡a</sup> Nicolas Joly, <sup>ID‡a,b</sup> Sylvain Gaillard, <sup>IDb</sup> Jean-Luc Renaud, <sup>*b,c</sup> Marc Valero, <sup>a</sup> Enric Mayolas, <sup>a</sup> Anna Pla-Quintana <sup>ID*a</sup> and Albert Poater <sup>ID*a</sup>

The oxalamide skeleton is a common structural motif in many biologically active molecules. These scaffolds can be synthesized *via* ruthenium pincer complex-catalyzed acceptorless dehydrogenative coupling of ethylene glycol and amines. In this study, we elucidate the mechanism of this oxalamide synthesis using density functional theory calculations. The rate-determining state is identified as the formation of molecular hydrogen following the oxidation of hydroxyacetamide to oxoacetamide. In predictive catalysis exercises, various modifications to the ruthenium pincer catalyst were investigated to assess their impact on the reactivity.

## 1. Introduction

Among the most prevalent skeletons found in biologically active molecules are the oxalamide scaffolds (see Scheme 1). They are used in a variety of different drugs showing anti-coagulant activity¹ and also as inhibitors to the CD4-binding site of HIV-1,² as well as synthons for organosilica nanoparticles.³ Other uses include their presence in foods as flavouring agents.⁴ In the field of organometallic chemistry, they are used in cross-coupling reactions as robust ligands.⁵ Due to their importance, many different protocols have been developed for their efficient synthesis in recent years.

The most traditional methodology for the preparation of oxalamides involves the formation of acid chloride from oxalic acid and its further reaction with amines.⁵,⁶ Other strategies include the use of carbon monoxide for the oxidative carbonylation of amines or the aminolysis of oxalates,⁷,⁸ and more recently the reaction of dichloroacetamides and amines,⁹ but all these mentioned methodologies generate stoichiometric amounts of waste, use toxic reagents and are not atom economical. Consequently, the goal has been set to develop

new sustainable strategies that follow the green chemistry principles to be further implemented in the pharmaceutical sector.

In 2007, Milstein and coworkers reported a ruthenium-catalyzed dehydrogenative coupling of alcohols with amines,¹⁰ resulting in the environmentally friendly synthesis of amides with H₂ as the only byproduct.¹¹ This acceptorless dehydrogenative coupling (ADC) reaction has been computationally studied by Milstein, Poater and collaborators.¹² Later, Milstein's and Guan's group¹³ demonstrated that a ruthenium pincer complex could also catalyse dehydrogenative coupling of diols and diamines to form polyamides.¹⁴ Other Ruth-catalyzed systems for synthesizing amides from amines and alcohols were subsequently developed.¹⁵ More recently, Milstein, Prakash and Liu groups¹⁶ have developed several liquid organic hydrogen carrier systems based on amide bond formation and reverse hydrogenation reactions.¹⁷ This amide formation has also been extended to the synthesis of primary amides from alcohols and ammonia.¹⁸ Knowing in advance that amines are a crucial group of compounds extensively utilized in agrochemicals, pharmaceuticals, and organic synthesis,¹⁹ several groups demonstrated that the resulting amides can be hydrogenated to regenerate these important amines.²⁰ This represents one of the greenest and most direct pathways for obtaining amines from feedstock compounds.

<figure><img src="image_3.png" /><figcaption>**Scheme 1** General structure of oxalamides.</figcaption></figure>

<figure><img src="image_4.png" /></figure>

<footnote><sup>a</sup>Institut de Química Computacional i Catàlisi and Departament de Química, Universitat de Girona, c/Maria Aurèlia Capmany 69, 17003 Girona, Catalonia, Spain. E-mail: anna.plaq@udg.edu, albert-poater@udg.edu</footnote>

<footnote><sup>b</sup>Normandie Univ., LCMT, ENSICAEN, UNICAEN, CNRS, 6 boulevard du Maréchal Juin, 14000 Caen, France. E-mail: jean-luc.renaud@sorbonne-universite.fr</footnote>

<footnote><sup>c</sup>Sorbonne Université, CNRS, Institut Parisien de Chimie Moléculaire, UMR 8232, 75005 Paris, France</footnote>

<footnote>†Electronic supplementary information (ESI) available. See DOI: https://doi.org/10.1039/d4dt03182b</footnote>

<footnote>‡These authors contributed equally to this work.</footnote>
Ethylene glycol (EG) is a very convenient feedstock in industry since it is cheap, and it can be obtained from renewable biomass-derived hydrocarbons.²¹,²² Recently, Milstein and coworkers reported the use of the mentioned diol as an efficient hydrogen carrier, being able to load and unload hydrogen catalytically. In detail, EG is converted to oligoesters through acceptorless dehydrogenative esterification, and then these oligoesters are hydrogenated back to EG using a ruthenium pincer catalyst.

In 2020, Milstein and coworkers reported the ADC of ethylene glycol and amines for the atom-economical and sustainable synthesis of oxalamides.²³ Moreover, the known ability of oxalamides to act as chelating agents and cause product inhibition was overcome.²³ The reaction was performed in a single step by reacting EG with the desired amine, catalysed by a ruthenium pincer catalyst in the presence of tBuOK in toluene, at 135 °C for 24 hours (see Scheme 2).

Activation of the pre-catalyst into an unsaturated amido-hydrido ruthenium complex *via* a basic treatment was initially postulated by Milstein. Coordination followed by a dehydrogenation step of EG could furnish the corresponding aldehyde (*i.e.* 2-hydroxy-ethanal) and the dihydrido-ruthenium pincer complex.²⁴ The latter, after hydrogen release, could regenerate the unsaturated ruthenium complex species, while the aldehyde could react with the amine to form a hemiaminal intermediate. A second dehydrogenation of the hemiaminal catalysed by the PNN ruthenium-pincer complex would furnish the hydroxyl-ethanamide and the dihydrido-ruthenium complex intermediate. A second catalytic cycle, after release of hydrogen, would allow the oxidation of the second alcohol and lead to the oxalamide compound (see Scheme 3). A deeper understanding of the process is however fundamental to understand the conversion of amines into amides. This process, using a ruthenium catalyst, is one of the few reported examples of oxalamide synthesis and reverse hydrogenation.⁸ Notably, a significant step was made towards the development of milder conditions for converting oxalamides back into amines and EG, achieving yields of up to 99%, with a reduction in temperature from 160 to 135 °C and a decrease in H₂ pressure from 60 to 40 atm.

In this work, we aim to unveil the reaction mechanism for the formation of oxalamide scaffolds reported by Milstein and coworkers,²³ and, by predictive catalysis,²⁵ make use of computational tools to predict the modifications in both reactants and catalyst to lower the working temperature and improve the reported transformation.

<figure><img src="image_5.png" /><figcaption>**Scheme 2** Reaction of ethylene glycol and primary amines for the synthesis of oxalamide scaffolds catalyzed by a ruthenium pincer catalyst.</figcaption></figure>

<figure><img src="image_6.png" /><figcaption>**Scheme 3** Proposed reaction mechanism for the reaction of ethylene glycol and primary amines for the synthesis of oxalamide scaffolds catalyzed by a ruthenium pincer catalyst.</figcaption></figure>

## 2. Computational details

DFT calculations were performed with the Gaussian16 software package.²⁶ The BP86 functional of Becke and Perdew²⁷ was used to optimize the geometries, together with the Grimme D3 correction term for the electronic energy.²⁸,²⁹ The electronic configuration of the molecular systems was described with the SDD basis set and pseudopotential for ruthenium,³⁰ and the split-valence basis set with polarization functions of Ahlrichs and co-workers (Def2-SVP) for the rest of atoms.³¹ Frequency calculations were performed to ensure the nature located stationary points. In addition, the intrinsic reaction coordinate (IRC) procedure was used to confirm the two minima connected by each transition state.³² Implicit solvent effects were included to simulate toluene by means of the polarizable continuum model (PCM).³³ To improve accuracy, single point energy calculations with the M06 functional³⁴ and the Def2-TZVP basis set were carried out,³⁵ together with the Grimme D3 correction. These results yield energy barrier values within 2 kcal mol⁻¹ of those obtained from DLPNO-CCSD(T) calculations³⁶ by ORCA³⁷ demonstrating close agreement between the two computational approaches. The reported Gibbs energies include electronic energies computed at the M06-D3(PCM = toluene)/Def2-TZVP~SDD~/BP86-D3/Def2-SVP~SDD~ corrected with zero-point energies, thermal corrections, and entropy effects evaluated with the BP86-D3/Def2-SVP~SDD~ method at 403.15 K and 1 atm.

## 3. Results and discussion

To gain insight into the reaction mechanism for the synthesis of oxalamides by acceptorless dehydrogenative coupling of ethylene glycol and amines catalyzed by ruthenium,²³ the reac-

<figure><img src="image_7.png" /></figure>
<figure><img src="image_8.png" /></figure>

tion profile was computed and is displayed in Fig. 2. The split mechanism is displayed in Fig. S1–S6.†

The reaction initiates from precatalytic species **A0** which is 3.1 kcal mol⁻¹ higher in energy than the catalytically active species **A**. Upon addition of ⁴BuOK in the reaction mixture, the N–H bond of the side arm of the pincer ligand is activated through **TS-A0A** with a kinetic cost of 2.7 kcal mol⁻¹ in which ⁴BuOH and KCl are formed, and **A** is generated *in situ*. With the catalytically active species in the reaction media, an ethylene glycol molecule is able to coordinate to the catalyst to form adduct **B** that evolves into the formation of experimentally detected species **C** after overcoming **TS-BC** with a kinetic cost of 6.6 kcal mol⁻¹. A second hydrogen atom is abstracted through **TS-CD** with an energy barrier of 15.4 kcal mol⁻¹ to yield species **D**. The release of a free molecule of glycolaldehyde to provide **E** is an endergonic process, with a relative energy of 8.9 kcal mol⁻¹ compared to **A**. The latter can set free H₂ through **TS-EF**, which is the most energetically demanding step of the first catalytic cycle, with an activation energy of 27.0 kcal mol⁻¹ (see Fig. 2),³⁸,³⁹ followed by an endergonic process by 3.4 kcal mol⁻¹ from **F** (Fig. 2). At this point, the free generated glycolaldehyde can follow three different reaction paths being (a) the oxidation of glycolaldehyde to oxalaldehyde, (b) the metal-free coupling of glycolaldehyde with a primary amine to form an hemiaminal intermediate, or (c) a metal-catalyzed coupling of glycolaldehyde with a primary amine. Milstein and coworkers observed that when only one equivalent of amine is used under the optimal reaction conditions, a hydroxyacetamide is obtained. This provides evidence that the coupling of glycolaldehyde and the amine is kinetically favoured over the oxidation of glycolaldehyde to oxalaldehyde. The computed energy profiles show that the oxidative process (a) does not occur, even though the activation energy is lower for this process compared to the coupling; the energy minimum corresponding to oxalaldehyde **C1** after overcoming **TS-B1C1** (see Fig. S3†) could not be found. When comparing the non-metal and metal catalyzed coupling of glycolaldehyde with a primary amine, the first displays a kinetic cost of 43.3 kcal mol⁻¹ that can be reduced to 39.0 and 36.0 kcal mol⁻¹, when the proton transfer is assisted by a water and ethylene glycol molecule, respectively (see Fig. S3†). On the other hand, coordination of glycolaldehyde to metal species **A** to form adduct **G** is endergonic by 16.0 kcal mol⁻¹, and in the presence of the amine, the formation of the C–N bond takes place in a barrierless step to yield intermediate metal-bound alkoxyde **H** with a relative energy of 7.9 kcal mol⁻¹. The Lewis acid character of the Ru catalyst induces significant polarization of the carbonyl group, increasing the charge on the carbon atom from 0.45 to 0.48 a.u. upon coordination to the Ru center. This polarization, combined with the strong hydrogen-bonding capability of the nitrogen atom, facilitates a barrierless nucleophilic attack of the amine on the carbonyl carbon. The latter path displays the lowest energy demand among those discussed. The generated metal-bound alkoxyde **H** proceeds to the hemiaminal intermediate **I** with a kinetic cost of 17.7 kcal mol⁻¹. The ruthenium catalyst oxidized the

*in situ* generated hemiaminal to the amide through **TS-IJ** with a kinetic cost of 13.1 kcal mol⁻¹ to recover species **E**. Release of H₂ upon overcoming a barrier of 18.1 kcal mol⁻¹ regenerates the catalytically active species **A**.

The catalytic cycle can start over to convert the second hydroxyl moiety to the aldehyde intermediate with energy barriers of 13.5 and 32.8 kcal mol⁻¹ for oxidation and H₂ release, respectively. The coupling of the second hexylamine is once again a barrierless process. Then, the formation of the hemiaminal takes place through an endergonic process by 6.5 kcal mol⁻¹. Finally, to obtain the desired oxalamide product,⁴⁰ the simultaneous deprotonation to oxidize the alcohol to the ketone takes place through **TS-IJ** with a kinetic cost of 13.3 kcal mol⁻¹. The last hydrogen production has an energy barrier of 18.1 kcal mol⁻¹ to recover the active catalytic species **A**, with a relative energy of -12.7 kcal mol⁻¹.

In summary, the synthesis of oxalamides from ethylene glycol and amines proceeds through four concatenated reaction paths being (A) the oxidation of the alcohol moiety to an aldehyde, (B) generation of molecular hydrogen, and (C) addition of the amine to the carbonyl function to furnish the amide functional groups, and (D) a second generation of molecular hydrogen to regain the active catalytic species. The most energy demanding step is the generation of H₂ after the release of the 2-oxoacetamide intermediate, with an overall energy barrier of 32.8 kcal mol⁻¹. The optimized geometry of **TS-EF** is shown in Fig. 1.

With the detailed mechanism in hand, we studied the effect of electronic and steric changes on the pincer ruthenium catalyst by including modifications to the phosphine moiety, pyridine ring, and the substituents on the nitrogen atom assisting the hydrogen transfer during the reaction mechanism. Given that the transition state **TS-EF** corresponding to the rate-determining state (rds) does not involve organic reactants (amine and ethylene glycol), the modifications to those species were not considered.¹²b,⁴¹ To accomplish this, the activation energy for the rds was calculated for a series of derivatives as depicted in Fig. 3.

First, modification was made to the phosphine moiety. Results show that electron-donating groups (EDGs) present slightly lower activation energies compared to electron-withdrawing groups (EWGs). Indeed the incorporation of CF₃ substituents on the phosphine increases the activation energy up

<figure><img src="image_9.png" /><figcaption>**Fig. 1** Transition state **TS-EF**; selected distances in Å.</figcaption></figure>
<figure><img src="image_10.png" /></figure>

<figure><img src="image_11.png" /><figcaption>Fig. 2 Full reaction mechanism calculated at the M06-D3/Def2-TZVP-SDD(pcm-toluene)//BP86-D3/Def2-SVP-SDD level of theory leading to the formation of oxalamides catalysed by a ruthenium pincer catalyst. Relative Gibbs energies in kcal mol⁻¹.</figcaption></figure>

to 35.2 kcal mol⁻¹. Among the EDGs, activation energies range from 30.6 to 34.3 kcal mol⁻¹ for tBu, iPr, methyl, and methoxy substituents. Given the similarities in kinetic cost, we can draw the conclusion that steric effects are not important in the phosphine ligand, probably due to the large distance to the labile N–H bond, involved in the formation of molecular hydrogen.

Then, modifications were introduced at the *para* position of the pyridine ring. In this case, the effect is opposite to that

described before for the phosphines. Even though the changes in the activation energy are very subtle, the introduction of a fluorine or a trifluoromethyl substituent (EWG) reduces the kinetic cost to 32.5 kcal mol⁻¹ and 31.7 kcal mol⁻¹, respectively, whereas the presence of a methoxy group (EDG) increases the activation energy to 34.1 kcal mol⁻¹.

Finally, the nature of the environment around the labile N–H bond of the ligand was tuned. A series of (PNN)-ruthenium-pincer complexes has been already reported, and their appli-
Phosphine substituted derivatives:

<figure><img src="image_12.png" /></figure>

<figure><img src="image_13.png" /></figure>

Pyridine substituted derivatives:

<figure><img src="image_14.png" /></figure>

<figure><img src="image_15.png" /></figure>

Nitrogen substituted derivatives:

<figure><img src="image_16.png" /></figure>

<figure><img src="image_17.png" /><figcaption>**Fig. 3** Pincer ruthenium catalyst derivatives and the activation energy (in kcal mol⁻¹) of the rds.</figcaption></figure>

cation led to oxalamide derivatives in 26–96% yield.²³ The lowest yield was obtained with a PNN(Et)₂⁴² ligand showing that either the steric hindrance or the absence of NH function could impede the catalytic activity. Substitution of the benzyl substituent on the N atom by the bulky and EDG tBu group resulted in a decrease to 29.5 kcal mol⁻¹, which was tested experimentally providing a yield of 37%, and therefore, indicating that other steps are hampered due to the introduction of a tBu substituent. Other EDG groups, including para-substituted benzyl moieties resulted in barriers in the 29.7–32.7 kcal mol⁻¹ range. On the other hand, the presence of EWGs increases the kinetic cost of the rds, increasing with the proximity of the electronegative atoms, reaching 34.9 kcal mol⁻¹ for the trifluoromethyl substituent directly attached to the N atom. It is clear that a sterically large group pushes the two hydrogen atoms together easing the formation of molecular H₂ (see Fig. 4), and therefore decreasing the activation energy.

Steric map calculations were performed for the tBu and CF₃ substituents on the N atom and are displayed in Fig. 5. A clear difference can be seen if we focus on the NW quadrant, corresponding to the substituent being exchanged, the steric hindrance of tBu being considerably larger than that of CF₃, with overall %V<sub>bur</sub> values of 80.7 and 73.9, respectively.

<figure><img src="image_18.png" /><figcaption>**Fig. 4** Transition state TS-EF for catalyst derivatives bearing tBu and CH₂PhOCH₃ substituents on the N atom; selected distances in Å.</figcaption></figure>

<figure><img src="image_19.png" /><figcaption>**Fig. 5** Steric maps of species A for catalyst derivatives with tBu (left) and CF₃ (right) substituents on the N atom, with the total %V<sub>bur</sub> in white and by quadrants in black. The isocontour curves of the steric maps are in Å. The xz plane is the mean plane of the pincer ring, whereas the xz plane is the plane orthogonal to the mean plane of the NHC ring and passing through the carbene Ru atom.</figcaption></figure>

Given that Milstein *et al.* tested experimentally Ru-PNN catalysts in which the side arm of the pincer consists of a C–H labile bond instead of an N–H bond, we computed the activation energy of the rds for two catalysts (see Fig. S7†). The results show higher energy barriers for catalysts **Ru-1** and **Ru-3** compared to those for catalyst **A**, with values of 38.5 and 34.7 kcal mol⁻¹, respectively. This is likely due to the greater energy required to activate a C–H bond compared to an N–H bond.⁴³ Additionally, the presence of a pyridine ring allows for better stabilization of the catalyst’s aromatized/dearomatized forms, reducing the kinetic cost associated with the production of molecular hydrogen. Finally, the lability of the N–H bond facilitates significant alterations in the electronic environment around the nitrogen atom, thereby modulating the nature of the N–Ru interaction. This modulation likely con-

<figure><img src="image_20.png" /></figure>
tributes to the acceleration of key steps in the reaction mechanism.

Experimentally, it is also essential to confirm that this ben-
eficial substitution, in terms of economic and milder con-
ditions, is achievable. It is also worth noting that scanning a
selection of substrates did not indicate that their performance
was due to either a kinetic or thermodynamic reformulation.
At least, no correlation between yield and either of these two
criteria was achieved (see the ESI†).

Moreover, looking further ahead, the study also examined
the effects of modifying the nature of the metal, towards sus-
tainability, with the aim of replacing ruthenium with iron,
reducing the cost and toxicity because of the metal.⁴⁴
However, except for a few rare cases where iron is competitive
with ruthenium,⁴⁵ such as with hydrogenating Knölker cata-
lysts and its derivatives, most efforts have been limited to com-
putational attempts⁴⁴ or experimental insights with low
efficiency.⁴⁶ For the reference experimental system using ruthe-
nium, replacing it with osmium worsened the results by only
0.8 kcal mol⁻¹, but switching to iron significantly reduced the
energy by 3.2 kcal mol⁻¹. This reconfirms the necessity of
having the two hydrogens as close as possible. This is a pre-
liminary result, requiring not only experiments, but first more
theoretical verification to ensure that the nature of the metal
does not alter the rds and that the overall mechanism remains
feasible.

4. Conclusions

In this study, we elucidate the catalytic cycle for the ruthenium pincer complex-catalysed synthesis of oxalamides from ethylene glycol and amines using DFT calculations. The reaction mechanism consists of the oxidation of glycolaldehyde to acetaldehyde, followed by the metal-catalysed coupling of the aldehyde with the primary amine to form the hydroxyacetamide intermediate. Then, the second oxidation and amine coupling take place following an identical reaction pathway. The rds of the transformation is identified as the formation of molecular hydrogen, following the oxidation of hydroxyacetamide to oxoacetamide. Various modifications were made to the ruthenium pincer catalyst to assess their impact on the catalytic reactivity. The results indicate that substitutions on the phosphine moiety, pyridine ligand, and nitrogen atom of the pincer ligand have minimal effect on the activation energy. It is important to note, however, that the latest modification, which involved the introduction of electron-donating groups with a greater steric effect, has led to more significant variations, reducing the kinetic cost of the rds. Consequently, even though the catalyst developed by Milstein et al. demonstrates optimal performance, experimental modifications to this catalyst are likely to reduce the kinetic barriers or enable milder reaction conditions. In general, not just for this particular reaction, but for the ADC to occur, it is necessary for the two hydrogens to come together to release H₂.

Author contributions

R. M.-C.: data curation, formal analysis, investigation, methodology, visualization, and writing – original draft. N. J.: data curation, formal analysis, and investigation. S. G.: formal analysis, investigation, supervision, validation, visualization, and review & editing. J. L.-R.: conceptualization, funding acquisition, methodology, project administration, supervision, validation, visualization, and review & editing. M. V.: data curation, formal analysis, and investigation. E. M.: data curation, formal analysis, and investigation. A. P.-Q.: conceptualization, funding acquisition, methodology, project administration, supervision, validation, visualization, and review & editing. A. P.: conceptualization, data curation, funding acquisition, methodology, project administration, supervision, visualization, writing – original draft, and review & editing.

Data availability

The data supporting the findings of this study are available
within the article and its ESI.†

Conflicts of interest

There are no conflicts to declare.

Acknowledgements

A. P. and A. P.-Q. are Serra Húnter Fellows. A. P. received ICREA Academia Prize 2019. We thank the Ministerio de Economía y Competitividad (MINECO) for project PGC2018-097722-B-I00 (to A. P.) and Ministerio de Ciencia e Innovación for PID2020-113711GB-I00 MCIN/AEI/10.13039/501100011033 and PID2023-146849NB-I00 (to A. P.-Q.). We thank the Spanish Government for the predoctoral FPU20/00707 grant to R. M.-C. Financial support from the “Ministère de la Recherche et des Nouvelles Technologies”, Normandie Université, University of Caen Normandie, CNRS, “Région Normandie”, and the LABEX SynOrg (ANR-11-LABEX-0029) is acknowledged.

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