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Cundari Th.R. -- Computational Organometallic Chemistry-0824704789

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218

Taber et al.

Scheme 1

2. CYCLIZATION VERSUS ELIMINATION

We observed (1,2) that an α-diazo β-keto ester 5 (Scheme 2) would, on exposure to a catalytic amount of Rh2(OAc)4, undergo smooth cyclization to the cyclopentane derivative 6. Since the α-diazo β-keto ester 5 was readily prepared by diazo transfer (3) to the corresponding β-keto ester 4, this established a general route to highly substituted cyclopentanes. The subsequent observation (4) that use of Rh2(O2CR)4 catalysts derived from more electron-donating carboxylic acids al-

Scheme 2

Rhodium-Mediated Intramolecular C–H Insertion

219

lowed the efficient cyclization of simple α-diazo esters (5) such as 7 (Scheme 2) to the corresponding cyclopentanes with high diastereocontrol set the stage for the work described here.

3. DEVELOPMENT OF THE COMPUTATIONAL APPROACH

Any or all of products 11–14 (Scheme 3) could have been formed by cyclization of the α-diazo ester 10. In the event, only 12 was observed (6). In an attempt to rationalize this result, we developed a computationally based model for the transition state for C–H insertion.

An understanding of the mechanism (7) for Rh-mediated intramolecular C–H insertion begins with the recognition that these α-diazo carbonyl derivatives can also be seen as stabilized ylides, such as 15 (Scheme 4). The catalytic Rh(II) carboxylate 16 is Lewis acidic, with vacant coordination sites at the apical positions, as shown. The first step in the mechanism, carbene transfer from the diazo ester to the Rh, begins with complexation of the electron density at the diazo carbon with an open Rh coordination site, to give 17. Back-donation of electron density from the proximal Rh to the carbene carbon with concomitant loss of N2 then gives the intermediate Rh carbene complex 18.

The mechanism by which this intermediate Rh carbene complex 18 reacts can be more easily understood if it is written as the inverted ylide 19. This species would clearly be electrophilic at carbon. We hypothesized that for bond formation to proceed, a transition state (20) in which the C–Rh bond is aligned with the target C–H bond would be required (8). As the C–H insertion reaction proceeded, the electron pair in the C–H bond would drop down to form the new C–C bond,

Scheme 3

220

Taber et al.

Scheme 4

and at the same time the electron pair in the C–Rh bond would slide over to form the new C–H bond. This would give the product (21) and release the initial Rh species 16, completing the catalytic cycle.

A central assumption of this mechanism is that the actual C–H insertion is concerted and that it proceeds with retention of absolute configuration. We had already, in a related case (9), demonstrated that Rh-mediated C–H insertion indeed proceeded with retention of absolute configuration.

The actual product from a cyclization will be determined as the intermediate carbene commits to a particular diastereomeric transition state. If these diastereomeric transition states are indeed in full thermal equilibrium (10), then computational modeling of the diastereomeric transition states (20) could allow us to predict which would be favored and thus which diastereomeric product would be formed.

4. DEVELOPMENT OF THE COMPUTATIONAL MODEL

To construct the transition state 20, we locked (Scheme 5) the Rh–Rh–C bond angle at 180°. To secure overlap between the C–Rh bond and the target C–H

bond, we established weak bonds [meaningful in mechanics (11)] between the two incipiently bonding carbons and between the target H and the proximal Rh (10). As mechanics tends to rehybridize weakly bonded carbons, we also found it necessary to lock the H–C–C–C dihedral angle of the target C–H at 60° (or, in the inverted transition state, 60°), to maintain sp3 geometry.

Rhodium-Mediated Intramolecular C–H Insertion

221

Scheme 5

There are still two possibilities for the transition state, 22 and 23. In transition state 22, the Rh carbene is pointed away from the flip of the incipient cyclopentane ring (a ‘‘chairlike’’ transition state, counting the five carbons and the Rh in the six-membered ring), whereas in 23 the Rh carbene is pointed toward the flip of the incipient cyclopentane ring (a ‘‘boatlike’’ transition state). As 10 (Scheme 3) cyclizes to 12, in which the methyl and the phenyl are on the same face of the cyclopentane, we concluded that at the point of commitment to product formation, the transition state leading to cyclization must be chairlike (22) rather than boatlike (23).

Sterically (mechanics), there is no significant energy difference between the competing transition states 22 and 23. We assume that the difference is electronic, that the conformation 22 makes electron density more readily available from the target C–H bond than does conformation 23. This interplay between steric and electronic effects will be important throughout this discussion of Rhmediated intramolecular C–H insertion.

5. APPLICATION OF THE COMPUTATIONAL MODEL

For the cyclization of 10, there are four diastereomeric chairlike transition states, 22, 24, 25, and 27 (Table 1), each leading to one of the four possible diastereomeric products. With the angles and bonds as stated, we minimized each of the four transition states with mechanics (11). Transition state 22 was found to be

222

 

 

Taber et al.

TABLE 1 Calculated Relative Energies of Transition States and Products

 

 

 

 

 

 

 

 

 

Product

 

 

 

TSE,

E,

Entry

TS

Product

kcal/mol

kcal/mol

 

 

 

 

 

1

 

 

0.0

0.0

2

5.3

0.1

3

6.1

0.2

4

7.4

0.9

the lowest in energy, by 5.3 kcal/mol compared to the next most stable. This contrasts with the relative stability of the four diastereomeric products, 12, 14, 26, and 28 (Table 1), which are quite comparable one to another.

Using this approach, we have successfully predicted the major product from the cyclization of more than 30 α-diazo esters and α-diazo β-keto esters (6), including the cyclization (12) of 1 to 2 (Scheme 1). Not all Rh-mediated intramolecular C–H insertion reactions will proceed to give a single dominant diastereomer. Our interest in this initial investigation has been to develop a model

Rhodium-Mediated Intramolecular C–H Insertion

223

for the transition state that will allow us to discern those cyclizations that will proceed with high diastereoselectivity.

6. CHIRAL AUXILIARY CONTROL

Returning to the cyclization of a simple α-diazo ester (Scheme 6), we wanted to design (13) a chiral ester that would direct the cyclization preferentially to one absolute configuration of the product cyclopentane. In attempting to extend our computational approach to the design of such a chiral auxiliary, we found that we were missing a key piece of data, the dihedral angle between the ester carbonyl and the rhodium carbenoid at the point of commitment to cyclization (30-syn vs. 30-anti). We and others have, in the past, speculated that the ester carbonyl and the rhodium carbenoid could be syn (14), anti (15), or orthogonal (15a), but no experimental or computational evidence in favor of any of these had been put forward. Since our computational approach did not allow us to answer this question directly, we devised an indirect approach based on the cyclization of α-diazoester 29, derived from the naphthylborneol 33 (16). Our conclusion from this study is that the ester carbonyl and the rhodium carbenoid are syn in the transition state leading to the cyclization of esters such as 29.

The chiral diazo ester 29 was cyclized with four commonly used rhodium carboxylate catalysts (Table 2). It was found as before that rhodium pivalate (17) (entry 4) was most efficient for forming the cyclopentanes and that rhodium trifluoroacetate (entry 1) was best for forming the alkenes (18). For the pivalate, both the yield of the cyclization and the diastereoselectivity improved at lower temperature (entry 5).

Scheme 6

224

 

 

 

 

 

 

Taber et al.

TABLE 2 Influence of the Ligand Bound to Rhodium on the

 

 

 

Diastereoselectivity of the Cyclization of Ester 29

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Reaction

 

 

 

 

 

 

Entry

Ligand

temperature

Yield

(R,R)-31

(S,S)-31

32

 

 

 

 

 

 

 

 

 

1

CF3CO2

18°C

89%

1.5

:

1.0

:

4.2

2

CH3CO2

18°C

92%

2.6

:

1.0

:

0.9

3

n-C7H15CO2

18°C

82%

3.8

:

1.0

:

0.7

4

(CH3)3CCO2

18°C

99%

8.4

:

1.0

:

1.0

5

(CH3)3CCO2

78°C

99%

14

:

1.0

:

1.0

 

 

 

 

 

 

 

 

 

7.COMPUTATIONAL ANALYSIS OF THE NAPHTHYLBORNYL-DERIVED ESTER

Assuming that the rhodium carbenoid and the ester carbonyl should be coplanar, the critical question as we extended our computational analysis to the naph- thylbornyl-derived ester 29 was whether the rhodium carbenoid and the ester carbonyl would be syn or anti at the point of commitment to product formation. As illustrated in Table 3, there are four possible products, each of which could have come via either a syn or an anti transition state. Thus, there could be eight competing transition states leading to cyclization. We carried out, as already outlined, the minimizations for each of the corresponding eight ‘‘points of commitment.’’ The minima, summarized in Table 3, were established using a meticulous grid search.

7.1.Analysis

The syn and the anti conformations leading to (R,R)-31, illustrated in Table 3, are calculated (mechanics) to be the two lowest-energy transition states for the cyclization of 29. Of the two, the anti conformation (Rh carbene and carbonyl coplanar but pointing in opposite directions) is the more stable, by 3.37 kcal/ mol. If steric factors alone governed the outcome of these cyclizations, we would expect that the anti transition state leading to (R,R)-31 would be competing with the syn transition state leading to (S,S)-31. The former would be favored by 4.35 kcal/mol. We have found that if the difference in calculated transition-state energies is greater than 2 kcal/mol, a single product is always formed in high ( 95%) diastereomeric excess. We do not observe such high diastereoselectivity in the cyclization of 29, so we conclude that steric factors alone do not govern the stereochemical outcome of this cyclization.

We propose that there is in fact a substantial electronic preference, not reflected in the mechanics calculations, for the ester carbonyl and the CCRh

Rhodium-Mediated Intramolecular C–H Insertion

225

TABLE 3 Transition States and Products Resulting from Cyclization of Naphthylbornyl 2-Diazoheptanoate (29)

 

 

Relative energy

Possible

 

of the transition

 

state in kcal/mol

diastereomeric

Possible

 

 

 

 

T.S.

diastereomer

syn

anti

 

 

 

 

 

 

3.37

0.00

10.02 18.64

4.35 14.38

8.30 9.97

E* CO2R*

bond to be syn at the point of commitment to cyclization. This preference is strong enough to overcome the calculated steric preference (3.37 kcal/mol) for the anti transition state. The competition then is between the syn transition state leading to (R,R)-31, and the syn transition state leading to (S,S)-31. The relative energies of these two transition states differ by less than 1 kcal/mol, so we predict, and observe, low diastereoselectivity.

We have posed this syn/anti question using a sterically demanding ester for which there is a significant conformational bias in favor of the anti transition state. We therefore believe that the conclusion, that there is a substantial prefer-

226

Taber et al.

ence for the ester carbonyl and the CCRh bond to be syn at the point of commitment to cyclization, is general and is not limited to this particular case.

While we have had some success, we are aware of the limitations inherent in a transition-state model for rhodium-mediated C–H insertion that attempts to predict product ratios on the basis of mechanics calculations. Arbitrary decisions limiting the several degrees of freedom possible in the transition state could lead one to a model for the ‘‘point of commitment’’ to cyclization that would be far from reality. The work described here is important because it offers experimental evidence for a key rotational degree of freedom, the dihedral angle between the ester carbonyl and the rhodium carbenoid.

Our initial objective, in this investigation, had been to design a useful chiral auxiliary. We were pleased to find that naphthylborneol 33 itself, on optimization of the catalyst and the reaction temperature, served effectively. Until effective chiral catalysts are developed, naphthylborneol 33 will be of significant practical value for directing the absolute course of rhodium-mediated intramolecular C–H insertion reactions.

8. IMPLICATIONS FOR CHIRAL CATALYST DESIGN

It was striking (Table 2) how much changing the ligand on the rhodium carboxylate changed the product distribution from the cyclization of 29. It has been consistently observed by us and by others that, electronically, the ligands exert substantial control over the reactivity of the intermediate carbenoid. It is apparent (20, Scheme 4) that a strongly electron-withdrawing ligand will result in a more reactive carbenoid and that, with such a ligand, commitment to product formation will occur while the carbenoid carbon and the target C–H are still some distance apart. By changing the ligand from octanoate to pivalate, the reactivity of the carbenoid is apparently attenuated, resulting in a tighter transition state. The distance between the carbenoid carbon and the target C–H is then smaller at the point of commitment, bringing the chiral ester in closer proximity to the reaction center, where it can better influence the product distribution by the handedness of its steric bulk. An effective chiral catalyst, then, will have to direct the reaction sterically, and at the same time be electron-donating enough to have a late, tight ‘‘point of commitment.’’

9.COMPUTATIONAL DESIGN OF A RHODIUM CATALYST: BRIDGING THE TETRAKISCARBOXYLATODIRHODIUM CORE

In approaching the design of a chiral catalyst, the first question was whether or not our computational approach would allow us to predict the conformation of ligands around the Rh–Rh core. In particular, it seemed important to us, if we

Rhodium-Mediated Intramolecular C–H Insertion

227

were to effectively control the three-dimensional space surrounding the Rh carbene/C–H interaction, to design (19) a family of dicarboxylate ligands that could occupy four of the eight O–Rh sites on the dirhodium tetracarboxylate (35, Scheme 7).

Although several hundred tetrakiscarboxylato metal–metal dimers were known (20), there had been no report of a dicarboxylic acid that would bridge two positions on such a dimer (21). We reasoned that the best chance for success would be with a dicarboxylic acid that was specifically designed to fit across the

˚

5.4-A gap between the carboxylate ligands.

To approach the design of a dicarboxylate ligand that would effectively bridge the Rh–Rh core, we first optimized the parent Rh2(CF3CO2)4 using ZINDO (22,23). We locked this structure, bridged two of the acetate methyl groups with an increasing number of methylenes, and evaluated the strain energy of the resulting (hypothetical) complexes using mechanics (11). As expected, the initial very high strain energy for a zero-methylene bridge decreased rapidly with increasing bridge length, until the bridge reached four carbons. After that, the strain energy did not significantly decrease with increasing bridge length. Recognition that entropy considerations would favor bridging by a convergent bidentate ligand then led us to m-benzenedipropanoic acid 35 as a likely candidate (24,25).

A priori, there was cause to be concerned that exchange of a tetrakiscarboxylato metal–metal dimer with a dicarboxylic acid would lead only to oligomers. In that event (Scheme 7), heating 35 in dichloroethane with tetrakis(trifluoroacetato)dirhodium 34 led to smooth exchange to give the emerald green complex 36, which was easily purified by silica gel chromatography. Prolonged heating of the reaction mixture led to more polar materials. The structure of 36 was confirmed by X-ray diffraction of the derived bis-acetone adduct. Our calculated structure for the bis-acetone adduct was exactly superimposable (19) on the X-ray structure.

A key question was whether or not the bridged dimer would effectively catalyze the C–H insertion reaction. We were pleased to observe (Scheme 8) that

Scheme 7

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