Literature DB >> 24849249

1,4-Addition of TMSCCl₃ to nitroalkenes: efficient reaction conditions and mechanistic understanding.

Na Wu1, Benoit Wahl, Simon Woodward, William Lewis.   

Abstract

Improved synthetic conditions allow preparation of TMSCCl3 in good yield (70%) and excellent purity. Compounds of the type NBu4X [X=Ph3SiF2 (TBAT), F (tetrabutylammonium fluoride, TBAF), OAc, Cl and Br] act as catalytic promoters for 1,4-additions to a range of cyclic and acyclic nitroalkenes, in THF at 0-25 °C, typically in moderate to excellent yields (37-95%). TBAT is the most effective promoter and bromide the least effective. Multinuclear NMR studies ((1)H, (19)F, (13)C and (29)Si) under anaerobic conditions indicate that addition of TMSCCl3 to TBAT (both 0.13 M) at -20 °C, in the absence of nitroalkene, leads immediately to mixtures of Me3SiF, Ph3SiF and NBu4CCl3. The latter is stable to at least 0 °C and does not add nitroalkene from -20 to 0 °C, even after extended periods. Nitroalkene, in the presence of TMSCCl3 (both 0.13 M at -20 °C), when treated with TBAT, leads to immediate formation of the 1,4-addition product, suggesting the reaction proceeds via a transient [Me3Si(alkene)CCl3] species, in which (alkene) indicates an Si⋅⋅⋅O coordinated nitroalkene. The anaerobic catalytic chain is propagated through the kinetic nitronate anion resulting from 1,4 CCl3(-) addition to the nitroalkene. This is demonstrated by the fact that isolated NBu4[CH2=NO2] is an efficient promoter. Use of H2C=CH(CH2)2CH=CHNO2 in air affords radical-derived bicyclic products arising from aerobic oxidation.
© 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

Entities:  

Keywords:  Michael addition; brønsted base catalysis; catalysis; reaction mechanisms; trichloromethylation

Year:  2014        PMID: 24849249      PMCID: PMC4586478          DOI: 10.1002/chem.201402394

Source DB:  PubMed          Journal:  Chemistry        ISSN: 0947-6539            Impact factor:   5.236


Introduction

Despite its potential for use in organic synthesis, applications of TMSCCl3 (TMS=SiMe3) have been far narrower in scope than those of closely related TMSCF3 (Ruppert–Prakash reagent).1 Two reasons can be identified as the origins of this situation. Firstly, all present literature preparations of TMSCCl3 provide either low-to-modest isolated yields,2 or rely on extreme low-temperature protocols (typically −110 °C),2 limiting easy access to this reagent. Secondly, most applications of TMSCCl3 require its “activation” by a silylphilic promoter, typically a fluoride ion. The intimate mechanism(s) by which this process proceeds are presently based on ad hoc suggestions rather than tangible data. In such environments it is possible to select reaction conditions that may not be mechanistically optimal. Although TMSCCl3 is known to participate in a small number of 1,2-additions to aldehydes,3 ketones3 and imine derivatives (Scheme 1),4 1,4 addition modes are practically unknown and are limited to just six examples, with modest yields, in a single paper by Cunico and Zhang.5 We were interested to identify improved experimental conditions for such reactions and to understand the underlying mechanism of 1,4-addition of TMSCCl3. New access to β-CCl3-substituted nitroalkanes is of interest, and Sosnovskikh et al., and others,6 have developed a range of unusual and useful methods around this motif.
Scheme 1

Known 1,2- versus 1,4-additions of TMSCCl3. Boc=tert-butoxycarbonyl.

Known 1,2- versus 1,4-additions of TMSCCl3. Boc=tert-butoxycarbonyl.

Results and Discussion

For the conjugate-addition mechanistic investigations we required access to large amounts of highly pure TMSCCl3. Unfortunately, current literature preparations2 have significant limitations, either in yield, purity of reagent attained, reproducibility or the need for special conditions. These issues are due to the fragility of MCCl3 (typically M=Li or Na) intermediates. Facile decomposition of these intermediates leads to dichlorocarbene-derived byproducts. We reasoned that the use of low-cost TMSCl (ca. € 0.1 per mL) as a co-solvent (5 equiv) would significantly enhance CCl3capture, improving the TMSCCl3 yield. Addition of LiHDMS (lithium hexamethyl disilazide) in hexane/THF (65:20) to a chloroform/TMSCl (12:64) mixture at −65 °C, followed by slow warming to ambient temperature proved optimal. After an appropriate workup, Kugelrohr sublimation routinely afforded pristine material in 64–70 % yield on a >10 g scale. The nitroolefins, 1, for our study were prepared by using a one-pot procedure by Dauzonne and Royer,7 a condensation method by Andrew and Raphael8 or by using a very recent AgNO2 method by Maiti et al.9 (Scheme 2). The advantage of the former two methods, although the yields are often modest, is that they are technically simple and provide a direct route to the 3-nitro-2H-chromenes and styrenyl systems, respectively. The advantage of the latter procedure is its wide and general scope. Initial studies on substrate 1 a (Table 1) confirmed the findings of Cunico and Zhang,5 but indicated that CsF is an unreliable promoter because of its low solubility in organic solvents. Soluble NBu4X [X=Cl, OAc, F and especially Ph3SiF2 (TBAT)] were found to be efficient promoters at 5 mol % in both polar (THF, entries 2–5) and non-polar (toluene, entries 6–10) solvents. The less-silylophilic promoter, NBu4Br, led to a very slow turnover. Due to the speed of the reactions in THF at 20 °C no rate estimates could be attained (entries 2–5). However, approximate initial rates (based on conversion in the first 20 sec) could be attained in toluene, confirming the high efficacy of TBAT; in the absence of any promoter no reaction occurred. The spectroscopic properties of 2 a are in accord with 1,4-addition of the trichloromethyl group. In particular, a characteristic multiplet is seen at δH=5.56 ppm in the 1HNMR spectrum, correlating to the 13CNMR CH signal α to the nitro group at δC=80.7 ppm. The β-CH group is diagnostically shifted to lower frequency (δC=56.3 ppm in 2 a) compared with its CCH precursor (δC=139.2 ppm in 1 a), whereas a low-intensity quaternary signal at δC=100.8 ppm is assigned to CCl3 and the molecular ion of 2 a shows the expected Cl3 isotope pattern.
Scheme 2

Preparation of nitroalkene starting materials. TEMPO=2,2,6,6- tetramethylpiperidine N-oxide; Cy=cyclohexyl.

Table 1

Promoter comparison for TMSCCl3 addition to 1 a.[a]

EntryPromoterSolvent2 a[%]Rate (rel.) [s−1]
1CsFeither[b]<10[c]n.d.
2NBu4ClTHF>95n.d.
3NBu4OAcTHF>95n.d.
4NBu4FTHF>95n.d.
5NBu4Ph3SiF2THF>95n.d.
6NBu4Brtoluene372.6×10−5 (0.03)
7NBu4Cltoluene>957.6×10−4 (1.0)
8NBu4OActoluene>951.4×10−3 (1.8)
9NBu4Ftoluene>952.0×10−3 (2.7)
10NBu4Ph3SiF2toluene>952.5×10−3 (3.3)

[a] Carried out on 0.3 mmol 1 a (0.06 M). Yield data obtained from GC analysis in the presence of an internal standard (1-methylnaphthalene, 25 μL, 0.18 mmol). [b] Use of either solvent resulted in inefficient catalysis; [c]>95 % of 2 a could only be attained after 24 h in THF with excess CsF (3.75 equiv). n.d.=not determined.

Preparation of nitroalkene starting materials. TEMPO=2,2,6,6- tetramethylpiperidine N-oxide; Cy=cyclohexyl. Promoter comparison for TMSCCl3 addition to 1 a.[a] [a] Carried out on 0.3 mmol 1 a (0.06 M). Yield data obtained from GC analysis in the presence of an internal standard (1-methylnaphthalene, 25 μL, 0.18 mmol). [b] Use of either solvent resulted in inefficient catalysis; [c]>95 % of 2 a could only be attained after 24 h in THF with excess CsF (3.75 equiv). n.d.=not determined. The conditions of Table 1 (entry 5) could be applied to a range of nitroalkene substrates, leading to various 1,4-addition products in 37–95 % isolated yields (Scheme 3). For the acyclic systems reversal of the addition mode proved optimal.
Scheme 3

Isolated addition products from TBAT-catalysed (5 mol %) additions of TMSCCl3 to nitroalkenes 1.

Isolated addition products from TBAT-catalysed (5 mol %) additions of TMSCCl3 to nitroalkenes 1. The connectivity of 2 d could be confirmed by an X-ray crystallographic study (Figure 1). In comparison, the 27 structures in the Cambridge Crystallographic Database6 showing the same NO2CαHCβHCCl3 motif have: NCα 1.49–1.53, Cα−Cβ 1.52–1.55 and Cβ−CCl3 1.51–1.57 Å; N- Cα-Cβ 105.8–117.1 and Cα-Cβ-CCl3 111.2–117.1 o. Two closely related six-ring structures (CIBGIF and HACJAY) show anti arrangements, as in 2 d, but a syn motif is also known (QEMZUE).6
Figure 1

Molecular structure of 2 d. Selected interatomic distances and angles: C(1)−C(4) 1.556, C(3)−C(4) 1.544, N(1)−C(3) 1.519 Å; C(1)-C(4)-C(3) 109.2, N(1)-C(3)-C(4) 111.3 o. Dihedral angle N(1)-C(3)-C(4)-C(1) 115.4 o.

Molecular structure of 2 d. Selected interatomic distances and angles: C(1)C(4) 1.556, C(3)−C(4) 1.544, N(1)−C(3) 1.519 Å; C(1)-C(4)-C(3) 109.2, N(1)-C(3)-C(4) 111.3 o. Dihedral angle N(1)-C(3)-C(4)-C(1) 115.4 o. The following scope and limitation comments should be made: i) Addition of TMSCCl3 to the substrate and TBAT catalyst was appropriate for α-substituted substrates 1 a–e and 1 q. However, for terminal nitroalkenes (1 f–p) the alkene needed to be added slowly (over 1 h) to TMSCCl3/TBAT mixtures to avoid polymerisation, which led to unacceptable yields of 2. ii) Acyclic α-substituted nitroalkenes led to very poor reactions and this substrate class was not further pursued; β-substitution provided clean products (e.g. 2 m), but in reduced yield. iii) Although alkyl, ether, ester, alkene and CF functional groups were tolerated in various degrees, some aryl bromide-containing substrates (e.g. 8-bromo-3-nitro-2H-chromene) and benzylic (E)-BnCH−CHNO2 were not tolerated and led only to decomposition. Given the known relative stability of the CCl3 radical, and its propensity to add to unsaturated systems (Kharasch et al.10), tests were carried out to assess the veracity of such reaction pathways. Firstly, it was observed that the presence of the known radical inhibitors hydroquinone or butylated hydroxytoluene (BHT) did not prevent TBAT-catalysed additions to 1 d under strictly anaerobic conditions. Secondly, the substrate 1 r was used to provide potential intramolecular radical trapping sites. The standard reaction conditions (slow addition of 1 r to TMSCCl3/TBAT under argon) led to trace amounts (15 %) of bicyclic 2 r, and the majority of the starting material remained unconverted after the typical reaction time of 1–16 h (Scheme 4). However, if the reaction was conducted under aerobic conditions 2 r became the major product. TMSCCl3 solutions in THF, in the presence of TBAT and O2 (one molar equivalent of oxygen injected into a sealed reaction), were analysed by 29Si NMR spectroscopy and revealed a significant amount of a single silicon-containing species showing δSi=7.4 ppm. Based on comparison with literature silicon NMR shift values11 we assigned this new species as TMS2O. One explanation for the formation of 2 r is reaction of TMSCCl3 (in the presence of TBAT) with O2, leading to TMS2O2 and CCl3 radicals that cascade to 2 r, via 3 and 4. Although we could not detect any TMS2O2 peroxideSi≈−27 ppm12) in air or in O2-exposed samples of TMSCCl3, in the presence or absence of TBAT, the latter was rapidly converted to TMS2O. It is likely that any peroxide would be both generated and decomposed as shown in Scheme 4. The siloxane can also be generated from TMSOH generated by elimination from 4. Literature bicycles related to 2 r have been generated, either by oxidation of nitronate anions13 or through nitrile oxide formation and subsequent [2+3] cycloaddition chemistry,13 from the expected 1,4-addition product 5. Although we cannot completely exclude such possibilities, such approaches normally require stronger oxidants than molecular oxygen or prolonged heating at 60 °C.13 The connectivity of 2 r could be confirmed by an X-ray crystallographic study on its dehydrochlorination product 2 r′, obtained through simple MgSO4 drying/recrystallisation of 2 r (Figure 2). Formation of the CCCl2 bond is also evident in the 13CNMR spectrum, in which the diagnostic CCl3 signal at δC=99.4 ppm in 2 r is replaced by two quaternary alkene signals (δC=121.4 and 126.7 ppm). Both 2 r and 2 r′ have a CN resonance (δC=167.6 and 166.5 ppm, respectively). The structure of 2 r′ is reminiscent of other tetrahydro-3H-cyclopenta[c]isoxazoles in the Cambridge Crystallographic Database.14
Scheme 4

Aerobic cyclisation of substrate 1 r.

Figure 2

Molecular structure of 2 r′. Selected interatomic distances and angles: N(1)−C(6A) 1.258, N(1)−O(2) 1.431, C(6)−C(7) 1.324 Å; C(6A)-N(1)-O(2) 107.5, C(7)-C(6)-C(6A) 127.1 o.

Aerobic cyclisation of substrate 1 r. Molecular structure of 2 r′. Selected interatomic distances and angles: N(1)−C(6A) 1.258, N(1)−O(2) 1.431, C(6)−C(7) 1.324 Å; C(6A)-N(1)-O(2) 107.5, C(7)-C(6)-C(6A) 127.1 o. Despite the aerobic cyclisation shown in Scheme 4, we could not attain any evidence for radical involvement under strict anaerobic conditions. In particular, the observation of low, but reproducible, ee values in the formation of 2 q by using chiral promoters at low substrate conversion suggested that a different reaction mechanism operates under O2-free conditions. To the best of our knowledge, no study of the explicit reaction mode of TMSCCl3 with NBu4SiPh3F2 (TBAT) has been carried out, therefore, we sought to define the non-radical process by multi-nuclear NMR studies. Reagent concentrations of 0.125 M in THF/[D6]benzene (5:1) at −20 °C offered the best compromise with respect to solubility, 29Si sensitivity and attainment of O2-free conditions. Temperatures of −20 °C are also the lowest at which viable catalytic reactions are possible, indicating that the reactions should be slowed to only primary events at this temperature. Representative 29Si NMR spectra are given in Figure 3. In an initial set of conditions at −20 °C, TMSCCl3Si=21.9 ppm) was immediately converted to TMSFSi=32.4 ppm)15 on addition of TBATSi=−108.8 ppm),16 which itself was transformed to Ph3SiFSi=−4.1 ppm)17 (Figure 3). No other silicon-containing species were present, except for traces of TMS2OSi=7.3 ppm)11 (which could be minimised/eliminated by good experimental technique to eliminate the last traces of O2). The JSiF coupling pattern is indicative of the number of attached fluorine atoms in these species. The residual TBAT species, TMSF and Ph3SiF could be correlated to signals at δF=−98.9,17 −158.015 and −170.5 ppm16 in the 19FNMR spectrum of the reaction mixture at −20 °C (see the Supporting Information). This accounted for >98 % of all the fluorine-containing species. The 29Si and 19FNMR spectra of the same reaction mixture at +20 °C show only very slight broadening, indicating that any exchange between the species detected is, at best, very slow under the reaction conditions. At −20 °C the 13CNMR spectrum of the TMSCCl3/TBAT mixture, in the methyl region, confirmed the presence of Me3SiFC=−0.4 ppm, JCF=15.5 Hz) and a singlet peak (δC=1.6 ppm) ascribed to the expected exchange product, NBu4CCl3. This latter compound is stable at −20 °C indefinitely, no evidence of formation of tetrachloretheneC=120.7 ppm), or any other CCl3− or dichlorocarbene-derived byproducts was seen in the spectra. No reaction was observed when nitroalkene 1 a was added last to the above mixture, which was then warmed from −20 to 0 °C (conditions under which the catalytic reaction is spontaneous).
Figure 3

29Si NMR spectra (79.5 MHz, 5:1 THF/[D6]benzene, −20 °C): a) TMSCCl3 (δ=21.9 ppm); b) TBAT (δ=−108.8 ppm, J(Si−F)=254 Hz); c) a nominal 1:1 mixture of TMSCCl3/TBAT (a slight excess of TBAT was used to provide a spectral internal standard), TMSF (δ=32.4 ppm, J(Si−F)=275 Hz), TMS2O (δ=7.3 ppm), Ph3SiF (δ=−4.1 ppm, J(Si−F)=282 Hz).

29Si NMR spectra (79.5 MHz, 5:1 THF/[D6]benzene, −20 °C): a) TMSCCl3 (δ=21.9 ppm); b) TBAT (δ=−108.8 ppm, J(SiF)=254 Hz); c) a nominal 1:1 mixture of TMSCCl3/TBAT (a slight excess of TBAT was used to provide a spectral internal standard), TMSF (δ=32.4 ppm, J(SiF)=275 Hz), TMS2O (δ=7.3 ppm), Ph3SiF (δ=−4.1 ppm, J(SiF)=282 Hz). In a separate set of conditions, nitroalkene 1 a was first added to TMSCCl3 at −20 °C. The 1HNMR spectrum in the region δH=6.8–8.0 ppm contains the aryl and alkene signals of 1 a (see Figure 4 a,b). The signal of TMSCCl3 is at δH=0.20 ppm (not shown in Figure 4). The equivalent 13CNMR spectra confirm <5 % reaction of alkene and TMSCCl3 because only the characteristic peaks of 1 a and TMSCCl3, at δC=−4.5 ppm are present. The 29Si NMR spectrum of the reaction mixture shows only the presence of TMSCCl3. Subsequent addition of TBAT at −20 °C to this mixture leads to partial (38 %), but immediate, conversion of 1 a into a new compound with 1H (Figure 4 c) and 13CNMR spectra (see the Supporting Information) that are closely related to those of the addition product 2 a. This new species is assigned as nitronate 8 (Scheme 5). In some experiments traces of a new species could be detected before the addition of TBAT (See Figure 4 b). This species could only be identified as a product of nitroalkene decomposition, or species 6 (see below).
Figure 4

Partial 1H NMR spectra (5:1 THF/[D6]benzene, −20 °C): a) alkene 1 a; b) a nominal 1:1 mixture of alkene 1 a and TMSCCl3; c) After addition of 1 equiv of TBAT to mixture (b). Signals due to TBAT are marked (•), those due to Ph3SiF (□) and those due to the proposed nitronate product 8 (Δ).

Scheme 5

Mechanistic proposal from stoichiometric NMR studies.

Partial 1HNMR spectra (5:1 THF/[D6]benzene, −20 °C): a) alkene 1 a; b) a nominal 1:1 mixture of alkene 1 a and TMSCCl3; c) After addition of 1 equiv of TBAT to mixture (b). Signals due to TBAT are marked (•), those due to Ph3SiF (□) and those due to the proposed nitronate product 8 (Δ). Mechanistic proposal from stoichiometric NMR studies. Overall, the data from the stoichiometric NMR experiments are in accord with Scheme 5. Once formed, NBu4CCl3 is insufficiently nucleophilic to directly attack the nitroalkene and equilibration back to TMSCCl3 is not possible. Rather, the nitroalkene binds TMSCCl3 by means of an electron-rich N−O contact, providing 6. We could detect no exchange broadening of the minor signals observed in Figure 4 b from ambient temperature down to −20 °C. Further cooling of the reaction was not possible because of the formation of non-homogeneous samples, and heating the sample was not possible. However, the data are generally in accord with attack of an external nucleophile, in this case fluoride ions (either directly or indirectly from TBAT18), on 6, triggering CCl3 transfer, presumably through a chair-like transition state, leading to 7. Finally, due to the strength of the SiF bond in TMSF (and the clear lack of exchange with this species in the NMR studies) it is nitronate 8 that is expelled and detected spectroscopically. If the conclusions of the stoichiometric reactions shown in Scheme 5 can be translated to the catalytic reactions, three clear predictions can be made: i) Nitronate anions themselves should be excellent promoters of the reaction. ii) If the concentration of nitronate (or indeed any other anionic promoter nucleophile) builds up over time, a wide range of nucleophilic promoters (Nu−) will be available to replace fluoride (F−) in the key conversion of 6 into 7 (Scheme 5). iii) Under such conditions, the ee value of the 1,4-addition product, produced by an asymmetric source of Nu− should decrease over time (due to competition with an increasingly populated pool of promoter anions). To check these suppositions we prepared NBu4[CH2−NO2] from nitromethane and found that it does indeed promote rapid quantitative conversion of 1 a into 2 a. The chiral complex [Ni(Duphos)2](acac)2 (Duphos=(R,R)-methylDuphos, CAS [147253-67-6]; acac=acetylacetonate) was found to be an, albeit poor, promoter of asymmetric trichlomethylation of 1 q (see the Supporting Information). Nevertheless, the ee value of 2 q formed by using this catalyst (10 mol %) does decrease reproducibly from 15 to <1 % over 20 h, in line with predictions. The bifunctional chiral catalyst by Takemoto et al.19 (10 mol %), associated with TBAF as a co-promoter (10 mol %), also led to a decrease in the ee value of 2 q over time (from 26 % to <1 %). Based on all of the data it seems likely that Scheme 6 is the most rational description of the catalytic cycle. The nitronate product, 8, can either act as a promoter itself or leave the promoter pool by means of a reaction with either TMSX (X=CCl3 or Nu, if Nu is a suitable leaving group).
Scheme 6

Proposed catalytic cycle.

Proposed catalytic cycle. Finally, the use of the 1,4-addition products, 2, for the formation of other products was briefly investigated. Treatment of 2 a with KOtBu in THF led to the formation of dichlorocyclopropane 9 in moderate yield (Scheme 7), through α-CH deprotonation. However, the equivalent acyclic systems showed a distinct preference for β-CH deprotonation. For example, 2 f led to the formation of dichloroalkene 10 when treated under the same conditions.
Scheme 7

Representative reactions of the 1,4-addition products.

Representative reactions of the 1,4-addition products.

Conclusion

Catalytic 1,4-additions of TMSCCl3 to electron-deficient Michael acceptors have considerable potential for use in organic chemistry. The mechanistic studies presented here are consistent with pre-coordination of the nitroalkene to the silicon reagent before its promotion by a silylphilic nucleophile. Attempts to develop asymmetric versions of this reaction will prove to be challenging for mechanistic reasons. The kinetically derived nitronate product of the reaction is itself a highly effective chain carrier, and attaining a competitive chiral catalyst or alternative conditions will be critical for success. Investigations into such approaches and the use of other acceptors are underway.

Experimental Section

Full details of all transformations and associated spectroscopic data are given in the Supporting Information. Nitroolefins 1 a–e were prepared by Dauzonne and Royer’s one-pot procedure7. Alkene 1 a showed identical spectroscopic properties to previously reported samples.20 Compounds 1 b–e, previously unreported, were fully characterised (see the Supporting Information). Nitroolefins 1 g–l were prepared by Andrew and Raphael’s condensation method8 and had identical spectroscopic properties to previously reported samples.9, 21, 22 Nitroolefins 1 m–r were prepared by the AgNO2 method by Maiti et al.,9 and had identical spectroscopic properties to previously reported samples.9, 23

General procedure for trichloromethylation of cyclic substrates

Trimethyl(trichloromethyl)silane (TMSCCl3; 0.21 g, 1.1 mmol) in THF (2 mL) was added dropwise to a solution of the cyclic nitroalkene (1 mmol) and tetrabutylammonium triphenyldifluorosilicate (TBAT; 0.027 g, 5 mol %) in THF (2 mL) under argon at room temperature, and the reaction mixture was stirred overnight. The mixture was concentrated in vacuo and then purified by flash chromatography on silica gel to give the corresponding Michael addition products. Alternatively, the reactions were quenched with saturated NH4Cl (aq), extracted with ethyl acetate, dried over anhydrous MgSO4 and concentrated before purification by chromatography.

General procedure for trichloromethylation of acyclic substrates

The acyclic alkene (1 mmol) in THF (2 mL) was added dropwise, over a period of one hour, to a solution of trimethyl(trichloromethyl)silane (TMSCCl3; 0.21 g, 1.1 mmol) and tetrabutylammonium triphenyldifluorosilicate (TBAT; 0.027 g, 5 mol %) in THF (2 mL) under argon at room temperature, and the mixture was stirred overnight. The mixture was concentrated in vacuo and then purified by flash chromatography on silica gel to give the corresponding Michael addition products.
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