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Article

Stereoselectivity in Butadiene Polymerization Promoted by Using Ziegler–Natta Catalysts Based on (Anilidomethyl)pyridine Group (IV) Complexes

by
Stefano Milione
* and
Stefania Pragliola
Department of Chemistry, University of Salerno, Via Giovanni Paolo II, 84084 Fisciano, Salerno, Italy
*
Author to whom correspondence should be addressed.
Symmetry 2024, 16(1), 18; https://doi.org/10.3390/sym16010018
Submission received: 30 November 2023 / Revised: 14 December 2023 / Accepted: 19 December 2023 / Published: 22 December 2023
(This article belongs to the Collection Feature Papers in Chemistry)

Abstract

:
The stereoselective polymerization of conjugated dienes promoted by using transition metal complexes has attracted much interest in both industrial and academic environments for the relevance of polydienes as synthetic rubbers and for the challenging reaction mechanisms. Among the different transition metal complexes, those based on group IV have been demonstrated to be versatile and efficient catalysts. Titanium complexes are generally more active than zirconium complexes. A rare exception to this trend is represented by a series of Zr(IV) complexes supported by (anilidomethyl)pyridine ligands that, after activation by using Al(iBu2H)/MAO, were found to be highly active affording exclusively cis-1,4-polybutadiene. To rationalize this unexpected trend and to obtain more insights into the parameters that control the reactivity of group IV complexes, a theoretical investigation of the entire polymerization mechanism, employing density functional methods, was undertaken. In the framework of the widely accepted polymerization scheme, the different intermediates featuring h4 (both cis and trans) coordination of the monomer and h1 or h3 (syn or anti)allyl coordination of the growing chain were scrutinized. Subsequently, the effects of the metal center on the free-energy profiles of the elementary steps involved in the reaction were examined. The results presented herein aim to achieve a better knowledge of the influence of the metal on the polymerization rates and on the stereoselectivity of the reaction.

1. Introduction

One of the everlasting challenges in polymer chemistry is synthesizing new materials with targeted properties. This can be achieved accurately by controlling the microstructures of the polymer chains. 1,3-butadiene is usually polymerized by using Ziegler–Natta catalytic systems affording polymers with the designed properties [1,2,3,4,5,6]. Depending on the chosen catalyst, different stereoregular polybutadienes, iso-1,2, syndio-1,2, cis-1,4, and trans-1,4-polybutadiene, can be prepared, each with peculiar features [7,8,9,10,11,12,13,14,15,16]. Of all of them, cis-1,4-polybutadiene has gained increasing attention from the industrial world due to its excellent properties, so it is true that, as regards the industrial production of synthetic rubbers, it is second in the world, surpassed only by styrene–butadiene rubber. The two forms of cis-1,4-polybutadiene currently marketed are low cis-1,4-polybutadiene containing approximately 40% 1,4-cis repeating units and high cis-1,4-polybutadiene, which has a content of 1,4-cis between 92 and 98% [17]. As for high cis-1,4-polybutadiene, its highly linear molecular structure and regularity mean that it exhibits an excellent elasticity, a high mechanical strength, a low heat accumulation, and a strong resistance to abrasion and fatigue stress, which make it particularly suitable as a tire manufacturing material [18,19]. Catalytic systems based on titanium halides and aluminum alkyls were the first to be used in cis-1,4-polybutadiene industrial production [6]. Subsequently, thanks to the in-depth theoretical and experimental studies of many researchers from both the academic and industrial worlds, other systems with higher activity and stereospecificity were developed. It was discovered that catalytic systems made up of transition metal complexes like chromium, iron, cobalt, and nickel with phosphorus and nitrogen ligands and methylaluminoxane (MAO) are highly active in 1,3-butadiene polymerization. Moreover, the cis-1,4 microstructure can be optimized by varying both ligands and metals [20,21,22,23,24,25,26,27]. Neodymium-based catalytic systems also show outstanding performance in the cis-1,4 polymerization of 1,3-butadiene. They give linear polymers with a high content of cis-1,4 units in aliphatic solvents, while show worse performance in aromatic solvents [28,29]. Currently, catalysts based on titanium, neodymium, nickel, and cobalt compounds showing excellent performances and reaching a cis specificity up than 90% are employed for high cis-1,4-polybutadiene industrial production. Due to their poor activity for the conjugated diene polymerization, zirconium catalysts have been less studied. However, in 2011, a study on 1,3-butadiene polymerization with catalytic systems consisting of both Ti(IV) and Zr(IV) (anilidomethyl)pyridine complexes and Al(iBu2H)/MAO was reported in the literature [30]. Unexpectedly, zirconium-based catalysts showed higher activity and stereospecificity with respect to the titanium homologous providing polymers with a content of 1,4 cis up 99.9% [30]. To the best of our knowledge, this is the only case reported in the literature of zirconium-based catalytic systems providing solely cis-1,4-poly(butadiene) with quite high activities. To rationalize the unexpected experimental results indicating better performances of Zr-based catalysts compared to Ti-based ones, in this work, a theoretical study concerning the entire mechanism controlling the 1,3-butadiene polymerization was performed. By applying established density functional methods (DFT), an attempt was made to thoroughly understand the origin of the high stereospecificity of 1,3-butadiene polymerization under the action of catalytic systems based on (anilidomethyl)pyridine Zr(IV) complexes. It is worth underlining that designing and producing new and more efficient industrial catalysts to produce high cis-polybutadiene is still challenging, and close attention is currently paid to both experimental and theoretical studies on this matter. In particular, the development of theoretical quantum chemical methods allows for clarification of the mechanistic aspects involved in the ion-coordination polymerization of dienes as well as for the offering of new solutions in catalysis.

2. Materials and Methods

Computational details. All DFT calculations were performed at the GGA level with the Gaussian 09 set of programs [31], using the BP86 functional of Becke and Perdew [32,33]. The electronic configuration of the molecular systems was described with the standard split valence basis set with a polarization function of Ahlrichs and co-workers for H, C, and N (SVP keyword in Gaussian) [34]. For Ti and Zr, we used the LanL2DZ basis set with associate effective core potentials [35]. Geometry optimizations were performed without symmetry constraints, and all the obtained structures were validated as minima or transition states by using the vibrational frequency calculations. These frequencies were used to calculate unscaled zero-point energies (ZPEs) as well as thermal corrections and entropy effects at 298 K and 1 atm by using the standard statistical mechanics relationships for an ideal gas. Energies were obtained via single-point calculations on the BP86-optimized geometries using the M06 functional [36]. In these single-point energy calculations, H, C, and N were described by using the TZVP basis set, whereas for the metals (Ti or Zr), the LanL2DZ basis set was employed. On top of the M06/TZVP~LanL2DZ//BP86-D3/SVP~LanL2DZ energies, we added the ZPE thermal and entropy corrections obtained at the BP86/SVP~LanL2DZ level. The buried volume calculations were performed with the SambVca 2.1 package, a software free of charge developed by Cavallo et al [37]. The radius of the sphere around the metal center was set to 3.5 Å, while for the atoms, we adopted the Bondi radii scaled by 1.17, and a mesh of 0.1 Å was used to scan the sphere for buried voxels. The coordinates of all the optimized structures as well as their main energetic features are available on request.

3. Results and Discussion

3.1. General Considerations

The generally accepted mechanism for 1,3-butadiene polymerization assumes that, during the propagation stage, the growing polymer chain is bounded to the metal center through a terminal allyl group in a η1 or η3 coordination mode, with a syn- or anti-configuration [38,39,40,41,42,43,44,45,46,47,48]. 1,3-butadiene is coordinated in a monodentate (η2) or bidentate mode (η4) and can display either a s-cis or a s-trans conformation. Depending on the insertion of butadiene involving the terminal C4 or internal C2 carbon atom of the allyl group, 1,4- or 2,1-insertion occurs (Scheme 1). In this work, the path for 2,1-insertion was not investigated as the (anilidomethyl)pyridine–zirconium catalyst produces polymers featuring exclusively 1,4-enchained butadiene units. The titanium catalyst affords polymers with a content of 2,1-units lower than 10% [30].
The stereochemistry of the insertion reaction, i.e., the formation of the 1,4-cis or 1,4-trans repeating unit depends on the configuration of the allyl terminal group. The insertion step involving the allyl group with the anti-configuration leads to a 1,4-cis repeating unit, whereas the insertion step involving the allyl group with the syn-configuration leads to a 1,4-trans repeating unit [38,39,40,41,42,43,44,45,46,47,48]. Depending on the configuration of the allyl group and butadiene, the insertion step can occur through the four competitive paths depicted in Scheme 2.
The conformation of the allyl group is in turn determined by the configuration of the incoming monomer: the insertion step involving the monomer coordinated to the metal center in a s-cis or s-trans configuration produces an anti- or a syn-allyl terminal group, respectively. Definitively, the formation of 1,4-cis-polybutadiene (or 1,4-trans-polybutadiene) is realized when the insertion step exclusively occurs through path 1 (or path 4). Path 2 and path 3 lead to a change in the configuration of the repeating unit.
The species investigated in this study will be indicated as follows: 1Mt for the butadiene–allyl complex, TS1-2Mt for the transition state for the monomer insertion, and 2Mt for the insertion product (Mt = Ti or Zr). To calculate the structures and the energies of 1Mt-2Mt, the mutual arrangement of the butadiene and the allyl groups have to be taken into account. In other words, in each intermediate or transition state, the concavity of the allyl and the s-cis or s-trans butadiene can be oriented in different ways to each other and with respect to the (anilidomethyl)pyridine ligand. We will indicate as supine (S) the allyl group, the s-cis or the s-trans butadiene orienting the concavity toward the ligand and we will indicate as prone (P) the allyl group, the s-cis or the s-trans butadiene orienting the concavity in the opposite direction. These different modes of coordination are displayed in Scheme 3.

3.2. Model of the Active Species

The active species involved in the Ziegler–Natta polymerization is a cationic–alkyl complex that originates from the reaction of the precatalyst with MAO or other activation agents. In the activation reaction, the precatalyst is first converted in an alkyl derivative, then, it undergoes an alkyl abstraction reaction to form a cationic alkyl derivative that, after coordination of the monomer, can start polymerization.
The alkylation of the (anilidomethyl)pyridine group precatalysts should lead to a trialkyl derivative of the general formula (NN)MtR3. In a first instance, we considered the monovalent cation that originates from the abstraction of one alkyl group from the tri-alkyl derivative: (NN)MtRR′(CH2=CHCH=CH2)+. In this species, R represents the growing polymer chain, and R′ is a second alkyl group bound to the metal atom. In our calculation, the growing polymer chain was modeled with the butenyl group, and the second alkyl group was modeled with a methyl group. Using this model for the active species, the calculations were inconclusive and not useful for explaining the experimental results.
So, we turned to consider as active species the divalent cation that originates from the abstraction of two alkyl groups from the tri-alkyl derivative: (NN)MtR(CH2=CHCH=CH2)2+. The results described herein were obtained using this model. Its steric map indicating the encumbering of the ligand in the proximity of the active site is reported in Figure 1 [37]. The metal atom is at the center of the sphere, and the complex is oriented with the ligand lying between the northern and the southern hemispheres. The two alkyl substituents of the anilido group producing the two bulges in the north–west and south–west quadrants encumber the western hemisphere, and the percent of buried volume is 26.8%. The eastern hemisphere is substantially more open, and the percent of buried volume is 12.0%. In our model, we assumed that the growing polymer chain is bound to the metal center turning the bulky alkyl tail toward the less-crowded area, i.e., toward the pyridine substituent.

3.3. Polymerization Paths Promoted by Using the Zirconium-Based Catalyst

Sixteen isomers are expected for the butadiene–π complex 1Zr, and their energies are reported in Table 1. The most stable one features the butenyl group η3-coordinated to the metal center with the anti-conformation and the butadiene coordinated in a η4-bidentate mode with the trans conformation (1Zr_anti–S/trans–P). The differences in free energies spread in the range from 0.0 to 9.7 kcal/mol cause the different steric interactions among the butenyl group, the monomer, and the (anilidomethyl)pyridine ligand. The optimized structures of the isomer with the anti-butenyl group and η4-cis-butadiene (1Zr_anti–S/cis–S) and the isomer with the syn-butenyl group and η4-trans-butadiene (1Zr_syn–P/trans–S) are reported in Figure 2. The butenyl group is coordinated in a symmetrical mode: the carbon atom C1 is at a longer distance from zirconium with respect to the carbon atom C3. Butadiene is coordinated with a comparable bond distance for the two non-terminal carbon atoms.
Starting from the isomers of 1Zr, the insertion of the η4-coordinated butadiene into the Zr–butenyl bond occurs passing through the transition state TS1-2Zr. All the possible structures were located, and the corresponding activation free energies are reported in Table 1. A close inspection of the geometries reveals that their energies are related to the mutual positioning of the zirconium atom, terminal reactive C1 of the butenyl group, and butadiene’s double bond. When these atoms lay in a quasi-planar arrangement, an energetically favorable transition is realized. Those isomers that present a non-planar arrangement of these atoms are energetically unfavorable. In Figure 2, the optimized structure of the transition states for the cis-butadiene insertion on the isomer with the anti-butenyl group and for the trans-butadiene insertion on the isomer with the syn-butenyl group are reported. The distances of the emerging C–C bond are 2.17 Å and 2.08 Å, respectively, and the bond distances of the other groups resemble those of the starting reagents.
Following the intrinsic reaction coordinate, the transition states TS1-2Zr lead to the products of the reaction 2Zr in which the monomer is inserted, and a new allyl terminal group is formed. The reactions are exergonic in all cases. The structures of the two products emerging from the transition state structures reported in Figure 2 are included in the same figure.
To discuss the cis/trans selectivity, we compared the Gibbs free-energy profiles of the four possible paths discussed in Scheme 2. Each path involves four different isomers, and we focused exclusively on that isomer to which the lowest activation barrier corresponds. The Gibbs free-energy profiles comparing the four paths are given in Figure 3. The most feasible paths are path 1 and path 2, and both start from the isomers with the butadiene coordinated in η4-cis-mode and lead to the insertion products featuring the growing polymer chain coordinated in the anti-mode (cis-butadiene route). The required activation barriers are about 2 kcal/mol lower than those required for the trans-butadiene insertion routes. Regarding the cis-butadiene insertion into the syn- and anti-isomers, it results that the syn-isomer is slightly more reactive than the anti-isomer, and the difference in the insertion barriers is 1.6 kcal/mol. Based on kinetic considerations, the most-favored product is product 2Zr_anti/trans. To deepen the investigation, we calculated the energy required to lengthen the polymer chain by another butadiene unit in the following propagation cycle. The corresponding Gibbs free-energy profile is reported in Figure 4. Starting from 2Zr_anti/trans, the monomer coordination leads to the isomer 3Zr_anti-S/cis-S in which the butadiene is cis-coordinated or leads to isomer 3Zr_anti-S/trans-S in which the butadiene is trans-coordinated. The process is exergonic for both cases. The subsequent insertion is more favored for the cis-coordinated butadiene, and the difference between the Gibbs free energies of the two transition states (ΔΔG) is 2.6 kcal/mol. The kinetic product of insertion 4Zr_anti/cis still features the polymer chain coordinated in the anti-manner and can initiate a catalytic cycle identical to the previous one. The succession of these catalytic cycles leads to the formation of a polymer chain in which the monomer is linked exclusively in a 1,4-cis mode.
It is worth noting that the regioselectivity of the butadiene insertion is affected by the antisyn isomerization of the growing polybutadienyl chain. As matter of fact, the interconversion of the butenyl terminal group in 2Zr_anti-P/trans-S from the anti-form to the syn-form opens the way to the concatenation of the butadiene in the 1,4-trans mode. The most-accepted mechanism for this isomerization is shown in Scheme 4. In a first step, the butenyl group bounded to the metal center changes its coordination mode from the π–η3 to the σ–η1, and the rotation around the C2–C3 single bond of the vinyl group follows, and, at the end, the butenyl group returns to the π–η3 coordination mode. Starting from 1Zr_anti-S/cis-S, we searched for the isomer featuring the polymer chain bound to the metal with the η1–σ coordination mode, and it was successfully located at 10.0 kcal/mol higher than the starting isomer. Its energy is higher than all the isomers and transition states reported in Figure 3, and this means that it is thermodynamically and kinetically inaccessible. We can state that the synanti isomerization is not a competitive path for the 1,4-butadiene insertion in the growing polymer chain.

3.4. Polymerization Paths Promoted by Using the Titanium-Based Catalyst

The energies of all the isomers and transition states involved in the competitive reactions for the butadiene insertion in the Ti–butenyl bond are reported in Table 2. The energies of all the isomers of the butadiene–π complex (1Ti) are comprised between 0.0 and 8.6 kcal/mol. In this case, the most stable isomer features the syn-terminal butenyl group and the trans-coordinated butadiene (1Ti_syn–S/trans–S). For comparative purposes, the optimized structures of the isomer with the anti-butenyl group and η4-cis-butadiene (1Ti_anti–S/cis–S) and the isomer with the syn-butenyl group and η4-trans-butadiene (1Ti_syn–P/trans–S) are displayed in Figure 5. It can be seen that, in accordance with the lower ionic radius of the titanium atom, the Ti–C bond distances are shorter than the analogue Zr–C bond distances. This causes a crowding in the coordination and a greater repulsion between the coordinated monomer and the growing polymer chain. As a result, the coordination of the butadiene is highly asymmetric and occurs, in some cases, in a monodentate (η2) rather than bidentate mode (η4), (see, for example, the structure of the isomer 1Ti_anti–S/cis–S in Figure 5).
The Gibbs free-energy change for the coordination of butadiene on the cation active species (ΔGcoord) is also affected by the steric crowding around the metal ion. As matter of fact, the average value of ΔGcoord for the titanium active species is −17.3 kcal/mol, whereas the average value of ΔGcoord for the zirconium active species is −21.1 kcal/mol. The less favored butadiene coordination on the titanium active species could be related to the lower polymerization activity of the titanium catalysts with respect to that observed for the zirconium analogues.
The butadiene insertion into the Ti–butenyl bond passes through the transition states TS1Ti whose Gibbs free energies are reported in Table 2. In Figure 5, the optimized structure of TS1-2Ti_anti–S/cis–S and TS12Ti_syn–P/trans–S are reported, and the distances of the forming C–C bond are 3.07 Å and 2.19 Å, respectively. Following the intrinsic reaction coordinate, the transition state structures lead to the products of the reaction 2Ti. The reaction is exergonic for all the considered cases.
Also, in this case, to discuss the cis/trans selectivity, we exclusively focused on those isomers to which the lowest activation barriers correspond. The corresponding Gibbs free-energy profile is given in Figure 6. By the inspection of this graph, it appears that path 1, path 2, and path 4 have very close activation barriers. This means that the η3-anti-isomer, through repeated s-cis-butadiene insertion, affords solely 1,4-cis repeating units, whereas the η3-syn isomer, through repeated s-cis and s-trans-butadiene insertion, affords 1,4-cis and 1,4-trans repeating units with equal rates. Accordingly, the generation of the cis-1,4-units is more probable than the generation of the 1,4-trans units. This agrees with the microstructure of the 1,4-polybutadiene obtained by using the titanium-based catalyst, which is predominantly 1,4-cis [30].
Notwithstanding a deep analysis of the transition state structures for both zirconium and titanium catalytic systems, we did not succeed in correlating their energies with parameters such as bond distances or atom charges. In our opinion, the Gibbs free-energy profile and the competitivity between the different reaction paths is the result of a delicate balance between the electronic and steric characteristics of the (anilidomethyl)pyridine ligand, the steric encumber in the first coordination sphere, and the properties of the metallic ion.

4. Conclusions

Impressed by the unique catalytic performance of the (anilidomethyl)pyridine group (IV) complexes in the polymerization of 1,3-butadiene, we conducted an extensive DFT investigation of the mechanism of stereoselective 1,4-butadiene insertion in the Mt–butenyl bond.
We started our investigation by probing the model for the active species. In a first instance, we considered the monovalent dialkyl cation that forms from the reaction of the precatalyst with the activating agent, in accordance with the expected active species involved in Ziegler–Natta polymerization. The results achieved are not in accordance with the experimental results. Thus, we moved to consider as active species the divalent monoalkyl cation resulting from the abstraction of two alkyl groups, having the following formula (NN)MtR(CH2=CHCH=CH2)2+. With this model, the results agree with the experimental data.
We investigated all the reaction paths involved in the insertion of butadiene into the Mt–butenyl bond. In the case of the zirconium catalytic system, the reaction paths leading to the 1,4-cis repeating unit resulted in being favorable with respect to those leading to the 1,4-trans repeating unit. The synanti isomerization, a process that could affect the stereoregularity of the polymer chain, resulted in being not competitive with respect to the propagation step. In the case of the titanium catalytic system, the computed reaction profile revealed that the paths for 1,4-cis or 1,4-trans enchainment occur with very similar activation energies thus resulting in being not competitive. The different reactivity of the two catalytic systems must be sought in the different dimensions of the metal atoms. In the case of titanium atoms, because of the smaller dimension, a greater repulsion is established among the polymer chain, the monomer, and the ancillary ligand. This in turn destabilizes the coordination adduct (as demonstrated by the lower free-energy change for the butadiene coordination) and alters the reaction profile rendering no paths competitive.
The results achieved herein show that the stereoselectivity of the 1,4-polymerization of butadiene with the (anilidomethyl)pyridine group IV catalysts is the result of a subtle balance between steric and electronic effects of the ancillary ligand and the choice of the metal center.

Supplementary Materials

The following supporting information can be downloaded at: https://www.mdpi.com/article/10.3390/sym16010018/s1. Cartesian coordinates and absolute energies (in a.u.) of all computed species.

Author Contributions

Conceptualization, S.M. and S.P.; validation, S.M. and S.P.; investigation, S.M.; writing—original draft preparation, S.M. and S.P.; writing—review and editing, S.M. and S.P.; funding acquisition, S.P. All authors have read and agreed to the published version of the manuscript.

Funding

This research received funding from Prin2020 (2020EZ8EPB).

Data Availability Statement

The data that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

Financial support came from the “Ministero dell’Università e della Ricerca” (MUR) and is gratefully acknowledged.

Conflicts of Interest

The authors declare no conflicts of interest.

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Scheme 1. 1,4- vs. 2,1-insertion.
Scheme 1. 1,4- vs. 2,1-insertion.
Symmetry 16 00018 sch001
Scheme 2. Competitive paths for 1,4-insertion.
Scheme 2. Competitive paths for 1,4-insertion.
Symmetry 16 00018 sch002
Scheme 3. Coordination modes for butadiene and butenyl groups.
Scheme 3. Coordination modes for butadiene and butenyl groups.
Symmetry 16 00018 sch003
Figure 1. Steric encumber determined by using (anilidomethyl)pyridine ligand. The isocontour curves are given in Å. (%Vbur = 38.8).
Figure 1. Steric encumber determined by using (anilidomethyl)pyridine ligand. The isocontour curves are given in Å. (%Vbur = 38.8).
Symmetry 16 00018 g001
Figure 2. Minimum energy structures for the butadiene–π complex 1Zr, the transition state TS1-2Zr, and the insertion product 2Zr. The isomers having the anti-butenyl group and the cis-coordinated butadiene (left column) and having the syn-butenyl group and the trans-coordinated butadiene (right column) are displayed. The distances are given in Angstrom.
Figure 2. Minimum energy structures for the butadiene–π complex 1Zr, the transition state TS1-2Zr, and the insertion product 2Zr. The isomers having the anti-butenyl group and the cis-coordinated butadiene (left column) and having the syn-butenyl group and the trans-coordinated butadiene (right column) are displayed. The distances are given in Angstrom.
Symmetry 16 00018 g002
Figure 3. Gibbs free-energy profile for butadiene insertion in the Zr–butenyl bond.
Figure 3. Gibbs free-energy profile for butadiene insertion in the Zr–butenyl bond.
Symmetry 16 00018 g003
Figure 4. Gibbs free-energy profile for the second butadiene insertion in the Zr–butenyl bond.
Figure 4. Gibbs free-energy profile for the second butadiene insertion in the Zr–butenyl bond.
Symmetry 16 00018 g004
Scheme 4. Synanti isomerization.
Scheme 4. Synanti isomerization.
Symmetry 16 00018 sch004
Figure 5. Minimum energy structures for the butadiene–π complex 1Ti, the transition state TS12Ti, and the insertion product 2Ti. The isomers having the anti-butenyl group and the cis-coordinated butadiene (left column) and having the syn-butenyl group and the trans-coordinated butadiene (right column) are displayed. The distances are given in Angstrom.
Figure 5. Minimum energy structures for the butadiene–π complex 1Ti, the transition state TS12Ti, and the insertion product 2Ti. The isomers having the anti-butenyl group and the cis-coordinated butadiene (left column) and having the syn-butenyl group and the trans-coordinated butadiene (right column) are displayed. The distances are given in Angstrom.
Symmetry 16 00018 g005
Figure 6. Gibbs free-energy profile for butadiene insertion in the Ti–butenyl bond.
Figure 6. Gibbs free-energy profile for butadiene insertion in the Ti–butenyl bond.
Symmetry 16 00018 g006
Table 1. Calculated Gibbs free energies for all the species involved in the 1,4-butadiene insertion in the Zr–butenyl bond (see Supplementary Materials).
Table 1. Calculated Gibbs free energies for all the species involved in the 1,4-butadiene insertion in the Zr–butenyl bond (see Supplementary Materials).
Path 1Path 3
1ZrTS1-2Zr2Zr 1ZrTS1-2Zr2Zr
anti–S/cis–S4.410.0−6.1anti–S/trans–P0.021.4−5.8
anti–S/cis–P5.222.9−5.6anti–S/trans–S1.211.0−8.6
anti–P/cis–S9.712.3−3.9anti–P/trans–P4.523.0−0.5
anti–P/cis–P6.625.0−4.0anti–P/trans–S4.316.3−0.3
Path 2Path 4
1ZrTS1-2Zr2Zr 1ZrTS1-2Zr2Zr
syn–S/cis–S6.211.0−7.2syn–S/trans–P2.522.6−4.3
syn–S/cis–P5.521.1−5.8syn–S/trans–S2.813.7−7.1
syn–P/cis–S5.88.4−7.4syn–P/trans–P4.820.9−3.9
syn–P/cis–P5.321.9−5.3syn–P/trans–S5.112.9−4.5
Table 2. Calculated Gibbs free energies for all the species involved in the 1,4-butadiene insertion in the Ti–butenyl bond (see Supplementary Materials).
Table 2. Calculated Gibbs free energies for all the species involved in the 1,4-butadiene insertion in the Ti–butenyl bond (see Supplementary Materials).
Path 1Path 3
1TiTS1-2Ti2Ti 1TiTS1-2Ti2Ti
anti–S/cis–S3.25.4−12.4anti–S/trans–P0.215.4−12.1
anti–S/cis–P4.815.5−11.1anti–S/trans–S0.88.0−13.2
anti–P/cis–S8.68.7−11.7anti–P/trans–P3.515.9−5.2
anti–P/cis–P6.118.6−4.3anti–P/trans–S3.28.6−8.9
Path 2Path 4
1TiTS1-2Ti2Ti 1TiTS1-2Ti2Ti
syn–S/cis–S5.2-−13.0syn–S/trans–P1.015.8−9.7
syn–S/cis–P4.214.2−3.7syn–S/trans–S0.07.0−11.1
syn–P/cis–S4.55.1−14.9syn–P/trans–P2.313.5−7.8
syn–P/cis–P4.415.3−5.5syn–P/trans–S2.55.4−9.9
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Milione, S.; Pragliola, S. Stereoselectivity in Butadiene Polymerization Promoted by Using Ziegler–Natta Catalysts Based on (Anilidomethyl)pyridine Group (IV) Complexes. Symmetry 2024, 16, 18. https://doi.org/10.3390/sym16010018

AMA Style

Milione S, Pragliola S. Stereoselectivity in Butadiene Polymerization Promoted by Using Ziegler–Natta Catalysts Based on (Anilidomethyl)pyridine Group (IV) Complexes. Symmetry. 2024; 16(1):18. https://doi.org/10.3390/sym16010018

Chicago/Turabian Style

Milione, Stefano, and Stefania Pragliola. 2024. "Stereoselectivity in Butadiene Polymerization Promoted by Using Ziegler–Natta Catalysts Based on (Anilidomethyl)pyridine Group (IV) Complexes" Symmetry 16, no. 1: 18. https://doi.org/10.3390/sym16010018

APA Style

Milione, S., & Pragliola, S. (2024). Stereoselectivity in Butadiene Polymerization Promoted by Using Ziegler–Natta Catalysts Based on (Anilidomethyl)pyridine Group (IV) Complexes. Symmetry, 16(1), 18. https://doi.org/10.3390/sym16010018

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