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. 2022 Sep 2;23(23):e202200377. doi: 10.1002/cphc.202200377

Diastereoselectivity on Intramolecular Alder‐ene Reaction of 1,6‐Dienes

Abel de Cózar 1,2,
PMCID: PMC10087545  PMID: 35942565

Abstract

A detailed computational study of the intramolecular Alder‐ene reaction of different 1,6‐dienes at M06‐2X(PCM)/TZ2P level of theory has been performed. We want to understand the influence of enophile‐geminal substitution pattern in the cis : trans selectivity of the cyclization process. Our analysis of the reaction coordinate by means of activation strain model of chemical reactivity (ASM‐distortion interaction model) reveals that the cis‐selectivity observed for unactivated reagents is related with high stabilizing orbital interaction and lower strain energy, consequence of an early transition structure. On the other hand, the presence of activating groups increases the asynchronicity of the transition structures and reduces the activation barrier due to more stabilizing orbital and electrostatic interactions, favoring trans‐selectivity.

Keywords: intramolecular Alder-ene, DFT, selectivity, activation strain model, energy decomposition analysis


Computational analyses based on the activation strain‐distortion interaction model reveals that activating groups increase the trans selectivity in intramolecular ene‐Alder reactions of 1,6‐dienes due to an asynchronicity increase related with enhanced orbital and electrostatic interactions that compensate the Pauli repulsion rise.

graphic file with name CPHC-23-0-g005.jpg

Introduction

The Alder‐ene reaction, discovered by Alder in 1943, [1] involves the thermal addition of an electron deficient multiple bond (enophile) to an olefin bearing an allylic hydrogen (ene) to form a C−C bond with the concomitant migration of the ene double bond and 1,5‐hydrogen shift (Figure 1C). In this reaction, three stereogenic centers are generated in a single synthetic step. Moreover, due to its simplicity and applicability to a wide range of substituents, Alder‐ene reaction has been widely used for the synthesis of complex polycyclic organic structures [2] and has been object of some theoretical studies. [3] Within the Woodward–Hoffmann symmetry rules framework, the Alder‐ene reaction can be described as group transfer pericyclic [π2s+π2s+σ2s] 6 electron suprasupra facial concerted reaction, [4] symmetry‐allowed under thermal conditions, that resembles the Diels–Alder (Figure 1A) and [1,5] sigmatropic shift reactions (Figure 1B) i. e. featuring an aromatic six membered transition state.

Figure 1.

Figure 1

General reaction schemes of (A) Diels–Alder (B) [1,5] sigmatropic H‐shift and (C) Alder‐ene reactions including schematic representation of main FMO involved. The stereogenic centers created in each reaction type are indicated with an asterisk.

Alder‐ene reactions are usually associated with relatively high activation barriers, thus requiring harsh reaction conditions, or the presence of activated reagents and/or catalysts. [3e] Theoretical calculations reported by Fernandez and Bickelhaupt [3c] indicate a correlation between the synchronicity of the transition structures and the activation barriers where low activation barriers are associated with asynchronous transition structures in which the C−C forming bond develops earlier than the C−H bond. According to their activation strain (ASM) – distortion/interaction analysis [5] the high activation barriers stems from the activation strain curve. In particular, the lowering barrier effect directly translates from a reduction of the ene‐reagent strain due to a low overlap between the C−H bond of the hydrogen transferred and the enophile LUMO (i. e. HOMOene–LUMOenophile overlap). [3c]

In particular, intramolecular Alder‐ene reaction of dienes offers a valuable method for the synthesis of (hetero)cycles, benefiting from entropic advantages. As a general rule, 1,6‐dienes preferentially generate cis‐five membered rings, whereas 1,7‐dienes yields trans‐six membered rings. [6] Remarkably, the stereochemistry about the forming C−C bond and its relationship with the substitution pattern of the initial reagent is not easy to predict, and can be affected by the presence of activating groups. [6] For example, in the early work of Eros et al. [7] described that the pyrolysis of 7‐Methyl‐1,6‐octadiene (1a) at 457 °C yields the exclusive formation of cyclopentene cis2a through intramolecular Alder‐ene reaction (Scheme 1). On contrary, few years later, the Sarkar et al. [8] reported that presence of CO2Me on the enophile moiety implies both a rate enhancement (higher overall yields), and an increase of the trans‐cyclopentene formation. In fact, when malonate derivative 1d was used, cyclopentane trans2d was found as major product (Scheme 1), thus showing the strong relationship between the reagent structure and the cis : trans ratio of the product.

Scheme 1.

Scheme 1

Cis : trans ratio observed for the intramolecular Alder‐ene reaction of 1,6‐octadienes. Values taken from Refs. [7,8].

However, despite the synthetic usefulness of intramolecular Alder‐ene reactions, extensively exploited experimentally, [9] the number of theoretical studies devoted to its understanding is somehow scarce. In an early work of Houk et al. [10] the authors developed a force field based on the rigid transition structure approximation, capable to theoretically simulate the cis preference observed in the intramolecular Alder‐ene cyclization of unactivated 1,6‐dienes. In this work, the authors propose that the diastereoselectivity was associated with a lower deformation of the parent transition structure upon substitution of the tether for the cis‐transition structure, compared to the trans‐counterparts. Unfortunately, the developed method does not fit with the experimental evidences when activated 1,6‐dienes were considered due to deformations in the transition structure geometry. In 1999, Das [11] re‐evaluated the Alder‐ene reaction of 1,6‐dienes at semiempirical level of theory. In that case, the reported AM1 calculations overestimate the trans‐product formation of activated 1,6‐dienes, whereas provides less accurate cis : trans ratios than the force field developed by Houk [7] for unactivated 1,6‐dienes. In more recent works, the same authors described some discrepancies between cis : trans theoretical ratios computed at B3LYP/6‐31G*//HF/6‐31G* and experimental evidences. [12]

The calculations here presented are focused on the study of the intramolecular ene‐Alder reaction of 1,6‐dienes and how different substituents affect the cis : trans diastereoselectivity. Our main objective is to understand if the selectivity changes are consequence of electronic effects, due to the presence of electronwithdrawing groups, or on the other hand, it is a strain‐biased process where the presence of substituents drastically affects the geometry of the transition structure, thus the activation energy of the process. To this end, we have quantum‐chemically analyzed the reaction profile associated with model reactions to asseses the reliability of the computational chosen method, and later on, we expanded our study to predict cis : trans ratios of intramolecular ene‐Alder reactions not reported in literature. The trends in reactivity were further analyzed by means of the activation strain model of chemical reactivity (ASM‐distortion/interaction model).

Computational Details

Theoretical calculations have been carried out within the DFT framework [13] at the M06‐2X(PCM)/TZVP level by using the GAUSSIAN 16 [14] and AMS2021 [15] suite of programs. We have chosen the highly parameterized functional M06‐2X [16] in combination with triple‐zeta Ahlrichs basis set TZVP [17] due to its suitability for the treatment of nonbonding interactions and dispersion forces. [16] Thermal Gibbs corrections were computed at the same level, at the indicated temperature, and were not scaled. Solvent effects were estimated by the polarization continuum model [18] (PCM) method within the self‐consistent reaction field (SCRF) approach. [19] All SCRF‐PCM calculations were performed using p‐xylene (ϵ=2.2705) as model solvent.

All the stationary points were characterized by harmonic vibrational analysis, where local minima showed positive definite Hessians. Fully optimized transition structures showed only one imaginary frequency associated with nuclear motion along the chemical transformation under study. Reaction paths were computed by intrinsic reaction coordinates (IRC) calculations.

Reaction profiles were analyzed using the activation strain (ASM) – distortion/interaction model [5] developed by Bickelhaupt–Houk, modified to unimolecular reactions, [20] including solvation effects. [21] Within this framework, we used ene and enophile fragments calculated in the electronic doublet state with the unpaired electron in a σ orbital to depict the reactant as a “very strongly bound reactant complex”. [19] In the selected systems, only two possible fragmentations that do not affect the atoms directly involved in the ene‐Alder reaction can be envisaged, namely C3–C4 or C4–C5 bond cleavage. In this study, the C3–C4 bond cleavage was chosen in order to have fragments with similar size (Figure 2). Remarkably, similar results were obtained when C4–C5 fragmentation was selected (See Supporting Information).

Figure 2.

Figure 2

C3–C4 fragmentation of the unimolecular reaction system.

The computed solution‐phase energy profile ΔE solution(ζ) is decomposed along the reaction coordinate ζ into the energy of the solute ΔE solute(ζ), the reaction system in vacuum but with its geometry in solution, plus the solvation energy ΔE solvation(ζ):

ΔEsolution(ζ)=ΔEsolute(ζ)+ΔEsolvation(ζ) (1)

In the present work, the reaction coordinate ζ is projected onto the newly formed C−C bond. (ΔE solvation(ζ)) accounts for both the interaction of the solute with the solvent and the cavitation energy.

The solute energy ΔE solute(ζ) is further decomposed as:

ΔEsolute(ζ)=ΔEstrain(ζ)+ΔEint(ζ) (2)

where ΔE strain(ζ) and ΔE int(ζ) correspond to the strain and interaction energy, respectively. The strain energy is associated with the energy required to deform the reactants from their equilibrium geometry to the geometry they adopt along the reaction coordinate ζ. This term is dependent of reactants the rigidity and, in general, is positive (destabilizing) giving rise to the occurrence of the reaction barrier. On the other hand, the interaction term ΔE int(ζ) depends on the electronic structure of the reagents and on how they approach each other. This latter term can be further analyzed within the Kohn–Sham MO conceptual framework according to the canonical energy decomposition analysis (EDA) [22] as:

ΔEint(ζ)=ΔVelstat(ζ)+ΔEPauli(ζ)+ΔEoi(ζ) (3)

ΔVelstat is the classical Coulombic interaction between the unperturbed charge distributions of each of the two reactants. ΔEPauli is the Pauli repulsions between occupied orbitals of the two fragments and is responsible for steric repulsion. ΔEoi stands for the stabilizing orbital interaction energy, including charge transfer.

Cis : trans selectivities have been computed by using the Eyring–Polanyi equation [23] from the previously computed Gibbs free activation energies (ΔG±), applying Curtin–Hammett kinetics (i. e. the product ratio depends on energy differences of the corresponding TSs) by using equation (4) and imposing the normalization conditions of equation 5:

[cis][trans]=e-ΔΔG±RT (4)
[cis]+[trans]=100 (5)

where ΔΔG± is the difference between the activation Gibbs free energies and R is the gas constant.

Results and Discussion

Activation and reaction Gibbs free energies as well as the main geometrical features of the transition structures computed at the M06‐2X(PCM)/TZVP level of theory associated with the intramolecular ene‐Alder reaction of 1,6‐dienes 1ag are shown in Table 1 and Figure 3, respectively.

Table 1.

Activation (ΔG±) and reaction (ΔGrxn) Gibbs free energies (in kcal mol−1) of intramolecular ene‐Alder reactions computed at M06‐2X(PCM)/TZVP level. Thermal corrections were computed at the selected temperature. Theoretical and experimental cis : trans ratios are also included.

graphic file with name CPHC-23-0-g006.jpg

entry

X

Y

2

T/K

ΔG±

ΔGrxn

cis : trans

Theor.

Exp.

1

1a

H

H

cis

457

39.1

−11.6

96 : 4

100:0a

2

trans

41.9

−13.6

3

1b

CO2Me

H

cis

528

37.2

−7.3

66 : 34

76 : 24b

4

trans

37.8

−9.2

5

1c

H

CO2Me

cis

528

38.2

−6.5

25 : 75

43 : 57b

6

trans

36.7

−9.1

7

1d

CO2Me

CO2Me

cis

528

38.8

−6.0

2 : 98

13 : 87b

8

trans

31.7

−8.7

9

1e

Me

Me

cis

298

41.2

−5.7

88 : 12

10

trans

42.6

−9.9

11

1f

CO2Me

Me

cis

298

37.9

−4.5

4 : 96

12

trans

36.0

−7.9

13

1g

Me

CO2Me

cis

298

37.5

−6.9

17 : 83

14

trans

36.5

−9.9

[a] Values taken from Ref. [7]. [b] Values taken from Ref. [8].

Figure 3.

Figure 3

(A, B) Main geometrical features of transition structures associated with the intramolecular ene‐Alder reaction of selected 1,6‐dienes computed at M06‐2X(PCM)/TZVP level. (C) Schematic representation of the cis‐ and trans‐transition structure geometries. Non‐relevant hydrogen atoms are omitted for clarity. Distances are in Å. Angles are in deg.

Our results show that the intramolecular ene‐Alder requires harsh conditions, as reflected by the high activation Gibbs barriers computed (ΔG±). Moreover, the theoretical cis : trans ratios are qualitatively in good agreement with the values described experimentally,[ 7 , 8 ] thus pointing out the reliability of the selected computational method. In all cases, formation of trans2ag is thermodynamically favored as shown by the ΔGrxn values. Therefore, the cis‐preference observed for compounds 1a, b, e can be related to a kinetically favored process, associated with lower activation Gibbs barrier than its trans‐counterparts rather than a higher stability of the products. [10]

Detailed inspection of the transition structure shows that in all cases, the reaction corresponds to a concerted but asynchronous process where the C2–C6 bond formation develops earlier than the C1‐Ha bond breaking/forming process. This asynchronicity is more pronounced for trans‐transition structures, where the C2–C6 distance d26 is 0.03–0.12 Å shorter than their cis‐counterparts (Figure 3). For activated reagents (X, Y=CO2Me), we find a relationship between the synchronicity and the activation barrier as described for the bimolecular ene‐Alder reaction. [3c] However, unactivated reagents do not follow this trend i. e. transition structure TS1atrans is more asynchronous than TS1acis, but the former is less energetically stable. Moreover, we observed that the conformation of the cyclic six‐membered transition structure strongly depends on the relative conformation of the final products, where cis‐transition structures show an eclipsed pseudo‐twist/boat conformation, while trans‐counterparts present a pseudo‐chair confirmation (Figure 3C).

Next, we examined the underlying factors leading to the computed cis : trans selectivity using the activation strain (ASM) – distortion/interaction analysis (Figure 4).[ 5 , 19 , 20 ] Additionally, we further decompose the interaction energy within the energy decomposition analysis framework (EDA,[ 21 , 24 ] Figure 5 and Table 2).

Figure 4.

Figure 4

Activation strain analyses along the IRC projected the newly formed C−C bond (d26) of 1ag intramolecular ene‐Alder reaction computed at ZORA‐M062X/TZVP level of theory. Transition state geometries are indicated with a dot.

Figure 5.

Figure 5

Energy decomposition analyses along the IRC projected the newly formed C−C bond (d26) of 1ag intramolecular ene‐Alder reaction computed at ZORA‐M062X/TZVP level of theory.

Table 2.

Energy decomposition analysis (EDA), strain energies (in kcal mol−1) and <HOMOene | LUMOenophile> orbital overlap of transition structures associated with studied intramolecular ene‐Alder reactions computed at M06‐2X(PCM)/TZVP level.

entry

2

ΔΕPauli

ΔVelstat

ΔΕoi

ΔEstrain

<HOMOene | LUMOenophile>

[ ene ]

[enophile]

total

1

1a

cis

141.0

−58.1

−96.9

39.6

11.4

51.0

0.205

2

trans

131.7

−59.5

−83.2

36.2

16.9

53.1

0.228

3

1b

cis

154.6

−67.8

−102.4

34.8

16.1

50.9

0.194

4

trans

181.2

−85.8

−115.6

32.9

23.6

56.5

0.222

5

1c

cis

156.0

−71.3

−102.9

32.3

21.7

54.0

0.183

6

trans

180.0

−85.2

−111.1

32.6

26.4

59.0

0.203

7

1d

cis

195.5

−85.8

−137.1

38.3

25.1

63.4

0.180

8

trans

240.2

−106.8

−173.3

38.4

32.4

70.9

0.195

9

1e

cis

145.3

−62.5

−98.7

41.8

16.6

58.4

0.138

10

trans

143.9

−65.5

−86.8

36.5

17.9

54.4

0.222

11

1f

cis

173.2

−81.1

−109.9

33.1

22.3

55.5

0.210

12

trans

187.2

−88.3

−115.7

32.4

22.2

54.6

0.223

13

1g

cis

161.1

−65.0

−107.2

32.1

15.4

47.5

0.181

14

trans

184.4

−89.8

−112.8

28.8

21.8

53.6

0.202

In all cases, at the initial stages of the reaction, the reaction profile goes up in energy due to the strain energy required to deform the reagents and elongate the C8‐Ha bond, plus the destabilizing interaction energy between ene‐enophile moieties consequence of Pauli repulsion. As the reaction proceeds, in the vicinity of the transition structure geometry (when the newly formed C2–C6 and C1−Ha bonds begin to develop) the interaction curve starts becoming stabilizing. This situation has been already described for hetero ene‐Alder reactions [3c] and other pericyclic reactions. [25] Remarkably, our calculations show that solvation has negligible effects on the reaction profiles, as shown by a flat solvation curve (ΔEsolvation in Figure 4).

Starting from the pattern structure 1a, exclusive formation of cis2a can be addressed to the existence of a reactive‐like transition structure TSacis in which the stabilizing interaction curve develops at long C2–C6 distances (d26=2.17 Å). Within this approach, the orbital and electrostatic interactions compensate the destabilizing Pauli repulsion and the strain energy at early stages of the reaction. On contrary, in highly asynchronous TSatrans, the forming C2–C6 bond is more developed (d26=2.05 Å). Therefore, in the transition structure geometry, the stabilizing HOMOene–LUMOenophile orbital interaction engages at cost of higher deformation of the initial reagent, thus the activation barrier rises (total strain energy of +51.0 and +53.1 kcal mol−1 for TSacis and TSatrans, respectively). However, some other factors such as a higher stabilizing orbital interaction that compensates a slightly higher Pauli repulsion in TSacis compared to TSatrans also point towards the computed cis‐specificity (entries 1–2 in Table 2).

The presence of activating groups reduce the activation barriers and strongly affects the cis : trans ratio, increasing trans‐product formation. For instance, E‐monosubstituted compound 1b (X=CO2Me; Y=H in Scheme 1) changes the reaction from cis‐specific (vide supra) to cis‐selective, where cis2b formation is favored. On the other hand, Z‐isomer 1c (X=H; Y=CO2Me in Scheme 1) yields a mixture of cis2c: trans2c where formation of the latter is slightly favored. Additionally, the trans‐preference is more clear for malonate derivative 2d, where trans2d is the major product. [8]

Remarkably, CO2Me groups induce an increase in the asynchronicity on TSbd geometries, where C2–C6 distances are reduced 0.2–0.4 Å compared to unsubstituted TSa. This effect is more pronounced in the trans approaches. We hypothesize that this fact is associated with a change in the shape of LUMOenophile that delocalizes on the C=O moiety of the electronwithdrawing group (Figure 6). Therefore higher C2–C6 proximity is required to engage stabilizing <HOMOene | LUMOenophile> interaction. Actually, activation strain (ASM) and energy decomposition analysis (EDA) show that the higher asynchronicity in the transition state of trans approaches is reflected in a more stabilizing orbital and electrostatic interaction compared to their cis counterparts. These interactions compensate the destabilizing Pauli repulsion and/or strain energy associated with a more developed C2–C6 bond, thus prompting trans‐product formation.

Figure 6.

Figure 6

Plot of the LUMO (enophile) of compounds 1ad at isosurface value=0.035.

For 1b, we observe that cis‐selectivity is associated with lower total strain energy compared to the trans analog, as found for 1a. Here, the presence of CO2Me group implies an increase of stabilizing orbital and electrostatic interactions that slightly favor the trans reaction profile, thus reducing the energetic difference (0.8 kcal mol−1 activation Gibbs free energy difference between TSbcis and TSbtrans, compared to the 2.8 kcal mol−1 difference computed for 1a). In this case, the CO2Me group is placed in equatorial position in both cis‐ and trans‐transition structures (Figure 3). Contrary to it, in 1c transition structures, the CO2Me group is placed in axial position. Due to that, the TSCcis pseudo‐boat transition state geometry is deformed towards a pseudo‐twist conformation to reduce the 1,3‐diaxial interaction with the tether (dihedral angle θb26c of 24° and 42° in TSbcis and TSCcis, respectively). However, TSctrans pseudo‐chair conformation is not affected, because the CO2Me group is placed far away from the tether. In fact, the deformation observed on TSCcis affects the <HOMOene | LUMOenophile> overlap, thus reducing the orbital interaction stabilization compared to TSctrans counterparts (overlaps of 0.183 and 0.203, associated with orbital interaction of −102.4 and −115.6 kcal mol−1 for TSCcis and TSctrans, respectively).

In highly activated malonate derivatives 1d both transition structures are more asynchronous than the ones observed for 1ac, as shown by a closer C2–C6 distances, and lower C8‐Ha elongations. In TS1dtrans, the highest asynchronicity (as shown by the shortest C2–C6 distance) is related to an increase in the stabilizing orbital and electrostatic interactions [3c] that overcomes the rise in Pauli repulsion. On the other hand, the analogous rise in Pauli repulsion of TS1dcis related to the asynchronicity increase (compared to TS1acis) is not compensated by the lower orbital or the electrostatic stabilization, due to the CO2Me moiety in axial position. [26] Therefore, trans‐selectivity is observed.

Next we analyzed the intramolecular Alder‐ene reaction of methylated compounds 1eg not reported in literature. Our results show that presence of methyl groups favors the formation trans‐cyclopentanes, compared to non‐methylated analogs 1ac. In fact, to our surprise, the presence of two methyl groups (1e) does not affect the transition structure geometries but affects the cis : trans ratio (96 : 4 vs 88 : 12 for 1a and 1e). In this latter case, the predicted cis‐preference is consequence of an early transition structure in which the stabilizing interaction curve develops at long C2–C6 distances (vide supra). However, we note an increase in the total strain energy in TSecis that reduces the cis‐preference compared to unsubstituted compound 1a (strain energy increase of 4.5 kcal mol−1 in TSe ‐cis and 1.5 kcal mol−1 in TSetrans, considering TSa analogous as reference).

Finally, in heterodisubstituted compounds 1fg we found that the formation of trans‐products are more favored than in monosubstituted analogous 1bc because in all TSs there is a group placed in Z‐position (theoretical cis : trans ratios of 4 : 96 and 17 : 83 for 1f and 1g vs 66 : 34 and 25 : 75 for 1b and 1c). In these cases, the presence of a group in axial position of the cis‐transition structures implies a deformation from the pattern pseudo‐boat to a pseudo‐twist conformation that destabilizes them, favoring trans2 formation (vide supra). Remarkably, that effect is more visible for TSfcis where more sterically demanding group Me [27] is placed in axial position of the transition structure. Thus, showing a more distorted transition state geometry than TSgcis analog (θb26c of 46° vs 40°, associated with total strain energy of 55.5 and 47.5 kcal mol−1 for TSfcis and TSgcis, respectively).

Conclusions

Intramolecular Alder‐ene reaction of 1,6‐dienes can proceed via six membered pseudo‐boat cis‐ or pseudo‐chair trans‐asynchronous transition structures where the C2–C6 bond develops earlier than the breaking/forming C−H bonds.

For unactivated reagents observed cis‐selectivity is related with lower strain energy, consequence of an early transition structure characterized by long C2–C6 distances.

The presence of activating groups reduces the activation barrier and increases the asynchronicity of the transition structure. In these cases the C2–C6 distances are closer compared to the pattern structure due to the modification in the LUMO of the enophile. Due to that, an increase of the Pauli repulsion and/or strain energy is observed in order to engage the stabilizing <HOMOene | LUMOenophile> orbital interaction. Remarkably, enhanced stabilizing orbital and electrostatic interaction in trans approaches overcomes this Pauli repulsion increase, thus favoring the formation of trans‐products. Additional higher trans‐preference is observed for Z‐substituted 1,6‐dienes due to 1,3‐diaxial interaction that can distort the cisTS, thus decreasing the orbital interaction stabilization. In these cases, we hypothesize that the reduction of stabilizing interactions in the cis‐transition structures due to the pseudo‐twist/boat conformation has similar impact on the intramolecular ene‐Alder cis : trans ratio than the increase of stabilizing interactions in the trans‐ones.

Additionally, our calculations predict the presence of Me groups on Z‐position also increases the trans‐selectivity.

Conflict of interest

There are no conflicts to declare.

1.

Supporting information

As a service to our authors and readers, this journal provides supporting information supplied by the authors. Such materials are peer reviewed and may be re‐organized for online delivery, but are not copy‐edited or typeset. Technical support issues arising from supporting information (other than missing files) should be addressed to the authors.

Supporting Information

Acknowledgements

SGI‐IZO‐SGIker (UPV/EHU) and DIPC are acknowledged for generous allocation of computational resources.

A. de Cózar, ChemPhysChem 2022, 23, e202200377.

Data Availability Statement

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

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Data Availability Statement

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


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