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. 2022 Aug 18;61(38):14918–14923. doi: 10.1021/acs.inorgchem.2c00824

Racemization Pathway for MoO2(acac)2 Favored over Ray–Dutt, Bailar, and Conte–Hippler Twists

George Dhimba †, Alfred Muller †, Koop Lammertsma †,‡,*
PMCID: PMC9516665  PMID: 35980189

Abstract

graphic file with name ic2c00824_0009.jpg

Chiral cis-MoO2(acac)2 racemizes via four pathways that agree with and extend upon Muetterties’ topological analysis for dynamic MX2(chel)2 complexes. Textbook Ray–Dutt and Bailar twists are the least favored with barriers of 27.5 and 28.7 kcal/mol, respectively. Rotating both acac ligands of the Bailar structure by 90° gives the lower Conte–Hippler twist (20.0 kcal/mol), which represents a valley–ridge inflection that invokes the trans isomer. The most favorable is a new twist that was found by 90° rotation of only one acac ligand of the Bailar structure. The gas-phase barrier of 17.4 kcal/mol for this Dhimba–Muller–Lammertsma twist further decreases upon inclusion of the effects of solvents to 16.3 kcal/mol (benzene), 16.2 kcal/mol (toluene), and 15.4 kcal/mol (chloroform), which are in excellent agreement with the reported experimental values.

Short abstract

A new pathway is presented for racemizing the Δ and Λ enantiomers of MoCl2(acac)2 that matches the reported experimental energy barrier. This Dhimba−Muller−Lammertsma (D−M−L) twist is much favored over textbook Ray−Dutt and Bailar twists and is also better than the Conte−Hippler twist. The D−M−L pathway embodies the missing link in Muetterties topological analysis of dynamic MX2(chel)2 transition-metal complexes.

Rationally designed catalysts capable of effecting enantioselective chemical transformations are crucial to satisfying the growing industrial demand for chiral fine chemicals.1 Despite the tremendous advances in asymmetric organocatalysis, as highlighted by the 2021 Nobel Prize in Chemistry,2 most catalysts used for the conversions of organic compounds are still transition-metal complexes with ligands coming from the ever-growing chiral pool.3 These chiral ligands are considered to be responsible for the transfer of chirality to the reaction product, but the elaborate syntheses and unpredictable enantioselectivity are limiting factors. An alternative is to solely use the stereogenicity of the metal center by the enantiomeric chelation of achiral ligands around the coordinating transition metal.4

Octahedral chiral complexes are, in fact, known as far back as 1911 when Werner reported on [Co(en)3]3+ (en = ethylenediamine);5 [Cr(en)3]3+, [Rh(en)3]3+, [Ir(en)3]3+, and [Pt(en)4]4+ were described shortly thereafter.6 Werner’s D3d-symmetrical cobalt(III) complexes carrying three simple achiral bidentate ligands were revived recently by Gladysz et al., demonstrating their effectiveness as enantioselective catalysts.7 In 2003, Fontecave et al. introduced the term “chiral-at-metal” catalysis and showed modest enantioselectivity for the asymmetric transfer hydrogenation and asymmetric oxidation of sulfides using [Ru(dmp)2(CH3CN)2]2+ (dmp = 2,9-dimethyl-1,10-phenanthroline).8 The field of chiral-at-metal catalysis was expanded majorly in the past decade by Meggers et al., who reported many different asymmetric catalytic reactions with high enantioselectivity using chiral rhodium(III) and iridium(III), [M(tbpb)2(CH3CN)2]+ (M = Rh, Ir; tbpb = 5-tert-butyl-2-phenylbenzoxazole),9 and recently with similar chiral iron(II) complexes.10

The asymmetric Lewis acid transition-metal complexes, carrying two bidentate and two acetonitrile ligands, apparently have high energy barriers of racemization, which enable the catalysts to maintain their chiral integrity. However, retention of chirality for other transition-metal complexes is a priori not evident because of the configurational flexibility at the metal center.11 Whereas such dynamics can be restricted by bi-, tri-, and tetradentate ligands, racemization is of general concern in chiral-at-metal systems. The crux is to recognize and control the dynamic pathways.

Already half a century ago, in-depth topological studies by Muetterties revealed the complexity by which penta- and hexacoordinate systems racemize.12 He also showed that the number of racemization pathways reduces with bidentate ligands. Illustrative is the reduction of 20 feasible permutations of a pentacoordinate system, which can be described in a Levi–Desargues graph, by introducing two bulky bidentate ligands.13 These cause the energy barriers for Berry pseudorotation to increase and prohibit racemization, as is the case for silicate [Si(pn)2F]− [pn = 2-(phenyl)naphthyl].14 Octahedral complexes are subject to a far larger number of permutations, which also reduce upon chelation. Well-established racemization pathways for trischelate complexes are the Ray–Dutt15 and Bailar16 twists in which the chelating ligands undergo a C3 rotation17 via rhombic (D3h symmetry) and trigonal-prismatic (C2v symmetry) transition states, respectively (Figure 1).18 Rarer pathways include the dancing-Bailar twist,19 those with a bicapped tetrahedral structure,20 and those invoking pentacoordination.21 Besides Muetterties’ topological studies, little is known about the racemization pathways of octahedral complexes with two bidentate ligands, which is the subject of the present study that focuses on cis-MoO2(acac)2 (acac = acetylacetonate).

Figure 1.

Figure 1

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Ray–Dutt and Bailar twists by which chiral octahedral complexes undergo racemization. The three bidentate ligands are shown in blue, green, and red. The gray lines complement the edges of the octahedral and trigonal-prismatic structures, with the orange dashed lines representing the transition-metal coordination sites.

cis-MoO2(acac)2 is an effective catalyst for epoxidizing olefins with peroxides, but we are not aware of asymmetric homogeneous catalysis with one of its enantiomers.22 The solid-state structure has been reported for the racemic mixture23 and for an enantiomer of a derivative.22b Conte and Hippler determined by variable 1H NMR spectroscopy a modest activation energy Ea of 16.9 kcal/mol for the racemization of cis-MoO2(acac)2 in benzene, 13.7 kcal/mol in chloroform, and 15.1 kcal/mol in toluene, indicating a small solvation effect.24 These barriers are similar to those reported by the group of Wise in 1971.25 SOGGA11-X/LANL2DZ+G** calculations by Conte and Hippler gave E0 barriers of 26.7 and 27.2 kcal/mol for the Ray–Dutt and Bailar twists and a lower, but still sizable, barrier of 19.4 kcal/mol for a different pathway; the heights of the barriers were not affected by inclusion of the effect of solvents. The magnitudes of these barriers seem to indicate that the racemization of cis-MoO2(acac)2 cannot be attributed to the Bailar or Ray–Dutt twists and likely not to the twist suggested by Conte and Hippler. Therefore, in the context of the topological analysis of MX2(chel)2 systems, we felt that a theoretical study on the racemization pathways is in order.

The potential energy surface for the MoO2(acac)2 complex was examined with Gaussian 16, version B01,26 using the hybrid meta-generalized-gradient-approximation functional ωB97X-D,27 which incorporates empirical dispersion terms and long-range interactions,28 and the 6-31G(d) basis set for C, H, and O and LANL2DZ for Mo.29 The reported absolute electronic energies for all optimized structures were estimated by single-point calculation with the 6-311+G(2d,p) basis set. Frequency and intrinsic-reaction-coordinate (IRC) calculations confirmed the nature of each transition structure.30 The effect of solvation was estimated by single-point calculations with the polarizable continuum solvent model at 25 °C.31

The geometries of Λ- and Δ-cis-MoO2(acac)2, shown in Figure 2, have a distorted octahedral arrangement in which the planes formed by the acac ligands and metal center are each tilted by 10.8° from orthogonality with the MoO2 plane. The Mo=O bonds of the MoO2 fragment have a length of 1.692 Å and an angle of 104.6°. The two Mo–O bonds of each acac ligand are longer and unequal to each other, i.e., 2.019 Å (Mo–Ocis) and 2.252 Å (Mo–Otrans), because of the different chemical environments of the two acac oxygen atoms. The methyl groups of the acac ligands are eclipsed with the methine hydrogen atoms. The geometry of Λ/Δ-cis-MoO2(acac)2 compares well with those of the reported X-ray crystal structures.23

Figure 2.

Figure 2

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(a) Δ and Λ enantiomers of cis-MoO2(acac)2 and (b) trans-MoO2(acac)2.

trans-MoO2(acac)2 (C2v symmetry), shown in Figure 2b, is a substantial 50.6 kcal/mol less stable than the cis isomer. It is then not surprising that no solid-state structure is known for this isomer. Moreover, geometry optimization with the extended basis set suggests it to be a transition structure (C2v symmetry) at a flat energy plateau with an imaginary frequency of a mere −12 cm–1. The trans Mo=O bonds of its MoO2 fragment are longer (1.731 Å) than those in the cis isomer and deviate substantially from linearity (140.0°), and both tilt toward one of the acac ligands, which has as a result longer Mo–O bonds (2.137 Å) than the other ligand (2.034 Å).

To understand the racemization of cis-MoO2(acac)2 and the potential role of the trans isomer, it is instructive to analyze their topological relationship. Muetterties showed that a metal complex with six different (monodentate) ligands has 30 octahedral isomers and 120 trigonal-prismatic iosomers but that this reduces significantly for complexes with two symmetrical bidentate ligands, MX2(chel)2. Figure 3, adapted from the original study, gives the topological representation, showing the enantiomeric cis isomers at the base and the trans isomer at the apex of an isosceles triangle (open dots). The closed dots at the edges of the triangle are the trigonal-prismatic structures (Figure 3, right), embodying rearrangement of the octahedral structures.

Figure 3.

Figure 3

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Topological representation of MX2(chel)2 with octahedral structures (open dots) and connecting trigonal-prismatic structures (closed dots) shown separately.

Topological analysis gives three direct racemization pathways for cis-MX2(chel)2, each with a trigonal-prismatic transition structure (cisa, cisb, and trans in Figure 3), complemented by a pathway via the trans isomer that involves a set of enantiomeric structures (d,l trans). We are unaware whether all of these racemization pathways have found solid footing in the literature. Consequently, we felt MoO2(acac)2 was ideal to verify topological analysis in the context of comparing the racemization barriers of the cis isomer with the reported experimental one.

The obvious places to start with are the established Ray–Dutt and Bailar twists for trischelating octahedral systems (Figure 1), which are represented respectively as cisb and cisa in Figure 3. Their corresponding C2v-symmetric transition structures for MoO2(acac)2 (Figure 4) have relative energies of a significant 27.5 and 28.7 kcal/mol, respectively. The structure for the Ray–Dutt twist has its MoO2 unit (dMo=O = 1.696 Å; ∠OMoO = 97.4°) bisecting both virtually planar acac ligands (dMo=O = 2.128 Å), which have an intercept angle of 19.6°. In the Bailar transition structure, the MoO2 unit (dMo=O = 1.687 Å; ∠OMoO = 95.8°) is rotated by 90° and has a larger bisecting angle of 48.3° between the acac ligands (dMo=O = 2.148 Å).

Figure 4.

Figure 4

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Ray–Dutt (top) and Bailar (bottom) transition structures for the racemization of cis-MoO2(acac)2.

Next, we focus on the role of trans-MoO2(acac)2 in isomerization of the cis isomer and on how the d,l trans forms (Figure 3) are involved. The latter can be considered to result from the Bailar transition structure by 90° rotation of both acac ligands. Such a transformation gives indeed a transition structure (Figure 5) with a relative energy of 20.0 kcal/mol, akin to that reported by Conte and Hippler.31 The two planar acac ligands of the C2v-symmetric structure lie in the same plane, with each having Mo–O bonds of 2.040 and 2.264 Å to the MoO2 unit (dMo=O = 1.693 Å; ∠OMoO = 117.2°). The IRC confirms that this transition structure is yet another structure for the racemization of cis-MoO2(acac)2 (see the Supporting Information) by opposite rotation of the acac ligands, but it still does not match the reported experimental value.

Figure 5.

Figure 5

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Conte–Hippler transition structure for the racemization of cis-MoO2(acac)2.

Further inspection of the C2v-symmetric structure is revealing. Rotating the MoO2 plane that bisects the two acac ligands by 90° and enlarging the O=Mo=O angle (117.2° → 140.0°) results in C2v-symmetric trans-MoO2(acac)2 (Figure 2b). This rotation can be left- or right-handed so that the MoO2 unit gets directed toward either one or the other acac ligand, which is in accordance with topological analysis (Figure 3). The high-energy trans isomer lies on a very flat high-energy plateau that allows for slight bending of its acac ligands. Despite the technical difficulties that this caused, we obtained an IRC that connects trans-MoO2(acac)2 by left- and right-handed rotation of the MoO2 unit to the Conte–Hippler transition structure (Figure 5) and thus ultimately to Δ- and Λ-cis-MoO2(acac)2. Evidently, this transition structure is a valley–ridge inflection point that gives one cis-MoO2(acac)2 enantiomer when the IRC is followed in one direction, likely because of torque selectivity.32 The relationship is shown in a simplified manner in Figure 6.

Figure 6.

Figure 6

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IRC for trans-MoO2(acac)2.

The only remaining racemization pathway to consider is that of the trans form in Figure 3. This twist is readily conceived by rotating one of the chelates of cisa by 90° instead of both. Such a rotation of one acac ligand of the Bailar structure led, in fact, to the hitherto unknown transition structure shown in Figure 7. Tracing the IRC trajectory confirms that it represents a new racemization pathway for cis-MoO2(acac)2 (see Figure S1). The two planar acac ligands of the structure lie in the orthogonal planes, with one having two symmetrical dMo=O bonds (2.176 Å) and the other two unsymmetrical bonds (2.108 and 2.120 Å) to the MoO2 unit (dMo=O = 1.687 Å; ∠OMoO = 101.1°). Most importantly, this new transition structure reflects the lowest-energy barrier for the racemization of cis-MoO2(acac)2 with a barrier of only 17.4 kcal/mol and on including the effects of solvation of 16.3 kcal/mol (benzene), 16.2 kcal/mol (toluene), and 15.4 kcal/mol (chloroform). The calculated barriers for these different solvent systems compare exceptionally well with the experimental Ea values of 16.9 kcal/mol (benzene), 15.1 kcal/mol (toluene), and 13.7 kcal/mol (chloroform), which were determined by Conte and Hippler.24 Evidently, this new twist represents the most favorable pathway by which the enantiomers of cis-MoO2(acac)2 racemize.

Figure 7.

Figure 7

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D–M–L transition structure for the racemization of cis-MoO2(acac)2.

In conclusion, the four pathways by which Δ- and Λ-cis-MoO2(acac)2 can racemize are the Ray–Dutt and Bailar twists and those in which one or both chelates of the Bailar twist are rotated by 90° (Figure 8). The barrier of 17.4 kcal/mol for the pathway with one rotated acac ligand, the Dhimba–Muller–Lammertsma (D–M–L) twist, agrees excellently with that determined experimentally. The less favored C–H twist in which both acac ligands are rotated represents a valley–ridge inflection that invokes the trans isomer. The well-established Ray–Dutt and Bailar twists are by far the least favored pathways. The obtained results agree fully with Muetterties’ topological analysis and give confidence that they apply to all dynamic MX2(chel)2 complexes. Inhibiting racemization of such complexes with properly substituted bidentate ligands can propel asymmetric catalysis with chiral-at-metal catalysts derived from readily available, inexpensive transition metals, which we are currently exploring.

Figure 8.

Figure 8

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Schematic presentation of the racemization pathways for (nonsolvated) cis-MoO2(acac)2 with relative energies (kcal/mol) for the Ray–Dutt (R–D), Bailar (B), Dhimba–Muller–Lammertsma (D–M–L), and Conte–Hippler (C–H) transition structures and the trans isomer.

Acknowledgments

We gratefully acknowledge support of the National Research Foundation (Grant 120842) and the Centre for High Performance Computing of South Africa. We thank Dr. J. E. Borger for the initial calculations.

Supporting Information Available

The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/acs.inorgchem.2c00824.

  • All computational details (PDF)

Author Contributions

All authors discussed the results and contributed to the final manuscript.

The authors declare no competing financial interest.

Supplementary Material

ic2c00824_si_001.pdf (342.5KB, pdf)

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