Bioinspired Polymer-Bound Organocatalysts for Direct Asymmetric Aldol Reaction: Experimental and Computational Studies

: A series of poly(2-oxazoline) (POX) derivatives bearing prolinamide pendants were designed as organocatalysts and evaluated in the direct asymmetric aldol reaction between aromatic aldehydes and cyclic ketones. The structural variation of the alkyl spacer connecting the polymer backbone with the catalytic unit was applied so as to deduce structure–performance relationships combined with comparable experiments from model catalysts. Results showed that the POX-bound prolinamides can promote the aldol reaction more e ﬀ ectively as compared to their small-molecular and non-POX-bound analogs. The catalyst P3 containing the pyrrolidine moiety closer to the tertiary amide backbone exhibited the overall best catalytic e ﬃ ciency, a ﬀ ording anti -products in 84% yield with 89% ee in the representative aldol addition of cyclohexanone to 4-nitrobenzaldehyde at a 10 mol.% catalyst loading. Furthermore, the inﬂuence of triﬂuoroacetic acid as an additive on the asymmetric transformation was investigated. Theoretical calculations revealed that the protonation of the aldehyde carbonyl group switched the activation mode of the aldol acceptor through hydrogen bond interactions, thereby changing the relative energy barrier of the enamine / aldehyde reaction transition states, which accounted well for the signiﬁcant improvement in the enantioselectivity of the acidic additives observed experimentally.


Introduction
Since List and co-workers reported asymmetric direct aldol reactions catalyzed by proline [1], immobilization of chiral organocatalysts on polymer matrices has attracted increasing interest in recent decades, owing to the advantages of easy product separation and catalyst recycling, as well as the possibility of mimicking the enzymatic systems [2][3][4][5]. However, the preparation of a polymeric analogue for an enzyme is not a simple task. The polymer matrix should be capable of providing a suitable chain architecture to locate the catalytic units for efficient chiral induction. In view of this, among a variety of polymeric catalysts [6][7][8][9][10][11][12][13][14] for asymmetric organic reactions, the synthetic polypeptides [11][12][13][14] show promise as an ideal scaffold to construct artificial enzymes because their structural components are similar to those of biological macromolecules.
In the past decade, poly(2-oxazoline)s (POXs), obtained using cationic ring-opening polymerization of 2-substituted 2-oxazoline monomers, have attracted considerable attention for their potential applications in biomedical areas [15][16][17][18]. These polymers are regarded as pseudopeptides, thus bioinspired polymers, due to their structural relation to polypeptides. Based on this unique polymer backbone, as well as a great deal of flexibility in molecular design and synthetic accessibility, we recently developed a new type of organocatalysts by attaching L-proline to the poly(2-oxazoline) chain through an amide linkage [19]. As a proof of concept, the L-prolinamido-POX (P1, Figure 1) has demonstrated its potential to mimic some extent the aldolase biomimetic system. In the aldolisation of cyclic ketones with several aromatic aldehydes, moderate efficiency and high enantioselectivity have been achieved.
To further explore structure-property relationships present in the pseudopeptide-based organocatalysts, in this study we designed additional three analogs, P2−P4, as shown in Figure 1. The major difference between these species lies in the spacer length between the catalytic moiety and the polymer backbone. The second chiral subunit in the lateral group was introduced to test for possible effects of various configuration combinations on the stereoselectivity and whether the substituents at the stereogenic center affect the catalyst properties. We also synthesized a non-POX-anchored prolinamide derivative (P5) and two small-molecular counterparts (MC1, MC2) for comparable experiments to ascertain the role of the tertiary amide backbone in the asymmetric aldol reactions. In addition, using density functional methods we investigated the transition states associated with the carbon−carbon bond formation in the reaction with the intention to understand the effects of acidic additives on the stereochemical outcomes. To the best of our knowledge, although the external acid additive has previously been shown to achieve better yield and stereoselectivity for organocatalyzed aldolizations [20][21][22], the real mechanism has not yet been elucidated.
Catalysts 2019, 9, x FOR PEER REVIEW 2 of 11 the poly(2-oxazoline) chain through an amide linkage [19]. As a proof of concept, the L-prolinamido-POX (P1, Figure 1) has demonstrated its potential to mimic some extent the aldolase biomimetic system. In the aldolisation of cyclic ketones with several aromatic aldehydes, moderate efficiency and high enantioselectivity have been achieved.
To further explore structure-property relationships present in the pseudopeptide-based organocatalysts, in this study we designed additional three analogs, P2P4, as shown in Figure 1. The major difference between these species lies in the spacer length between the catalytic moiety and the polymer backbone. The second chiral subunit in the lateral group was introduced to test for possible effects of various configuration combinations on the stereoselectivity and whether the substituents at the stereogenic center affect the catalyst properties. We also synthesized a non-POX-anchored prolinamide derivative (P5) and two small-molecular counterparts (MC1, MC2) for comparable experiments to ascertain the role of the tertiary amide backbone in the asymmetric aldol reactions. In addition, using density functional methods we investigated the transition states associated with the carboncarbon bond formation in the reaction with the intention to understand the effects of acidic additives on the stereochemical outcomes. To the best of our knowledge, although the external acid additive has previously been shown to achieve better yield and stereoselectivity for organocatalyzed aldolizations [20][21][22], the real mechanism has not yet been elucidated.

Catalyst Synthesis and Structural Characterization
As depicted in Scheme 1, the employed protocol involves the synthesis of 2-oxazoline monomers, ring-opening polymerization, and post-modification of corresponding polymers. Monomers M1M3 were prepared readily from Boc-protected amino acids and 2-chloroethylamine via two-step reactions with a total yield of 65-80%, according to a generally adapted method [23,24]. (R/S)-M4 were synthesized using a different method, described in the Supplementary Information (Scheme S1; Figure S1S6). On the basis of our previous work [19,25], the ring-opening polymerization was carried out in acetonitrile using Sc(OTf)3 as initiator. As evidenced by the linear first-order kinetics and the

Catalyst Synthesis and Structural Characterization
As depicted in Scheme 1, the employed protocol involves the synthesis of 2-oxazoline monomers, ring-opening polymerization, and post-modification of corresponding polymers. Monomers M1−M3 were prepared readily from Boc-protected amino acids and 2-chloroethylamine via two-step reactions with a total yield of 65-80%, according to a generally adapted method [23,24]. (R/S)-M4 were synthesized using a different method, described in the Supplementary Information (Scheme S1; Figures S1−S6).
Catalysts 2019, 9, x FOR PEER REVIEW 2 of 11 the poly(2-oxazoline) chain through an amide linkage [19]. As a proof of concept, the L-prolinamido-POX (P1, Figure 1) has demonstrated its potential to mimic some extent the aldolase biomimetic system. In the aldolisation of cyclic ketones with several aromatic aldehydes, moderate efficiency and high enantioselectivity have been achieved.
To further explore structure-property relationships present in the pseudopeptide-based organocatalysts, in this study we designed additional three analogs, P2P4, as shown in Figure 1. The major difference between these species lies in the spacer length between the catalytic moiety and the polymer backbone. The second chiral subunit in the lateral group was introduced to test for possible effects of various configuration combinations on the stereoselectivity and whether the substituents at the stereogenic center affect the catalyst properties. We also synthesized a non-POX-anchored prolinamide derivative (P5) and two small-molecular counterparts (MC1, MC2) for comparable experiments to ascertain the role of the tertiary amide backbone in the asymmetric aldol reactions. In addition, using density functional methods we investigated the transition states associated with the carboncarbon bond formation in the reaction with the intention to understand the effects of acidic additives on the stereochemical outcomes. To the best of our knowledge, although the external acid additive has previously been shown to achieve better yield and stereoselectivity for organocatalyzed aldolizations [20][21][22], the real mechanism has not yet been elucidated.

Catalyst Synthesis and Structural Characterization
As depicted in Scheme 1, the employed protocol involves the synthesis of 2-oxazoline monomers, ring-opening polymerization, and post-modification of corresponding polymers. Monomers M1M3 were prepared readily from Boc-protected amino acids and 2-chloroethylamine via two-step reactions with a total yield of 65-80%, according to a generally adapted method [23,24]. (R/S)-M4 were synthesized using a different method, described in the Supplementary Information (Scheme S1; Figure S1S6). On the basis of our previous work [19,25], the ring-opening polymerization was carried out in acetonitrile using Sc(OTf)3 as initiator. As evidenced by the linear first-order kinetics and the  On the basis of our previous work [19,25], the ring-opening polymerization was carried out in acetonitrile using Sc(OTf) 3 as initiator. As evidenced by the linear first-order kinetics and the unimodel molecular-weight distribution for the resulted polymers with PDI values below 1.15 ( Figures S7-S10), a good control of the polymerization process was achieved with this system. In all cases, the L-proline residue can be efficiently introduced into the polymer skeleton, with an amide coupling efficiency of the repeating monomeric units more than 95%. For the polymer catalyst P5 for reference, synthesis began with the amidation of poly(allyamine) with N-Boc-L-proline, followed by global deprotection (Scheme S2). The synthesis of small-molecular catalysts MC1 and MC2 is similar to that of P5 except for the use of Boc-amino-acetic acid diethylamide and 1-hexanamine as their respective starting materials. The experimental procedures and structural characterization data are provided in the Supporting Information (Table S1).

Evaluation of Catalytic Activity
First, the reaction optimized conditions were screened for the aldol reaction of cyclohexanone (0.4 mL, 14 eq) with 4-nitrobenzaldehyde (40.8 mg, 0.27 mmol, 1 eq) in the presence of P3 (0.027 mmol, based on the prolinamide content in the polymer; 10 mol.% relative to the aldehyde) using an excess cyclohexanone as solvent (Table S2). As previously noted with P1 [19], the reaction did not take place in the absence of water. However, the catalysis can be obviously initiated by the addition of some water. Upon introduction of 10 µL of water (accounted for 2.5% of cyclohexanone), the reaction afforded the desired anti-aldol products in 45% yield with enantioselectivity of 42% ee. It is generally to be understood that the essential role of water is due to significant promotion of the rate-determining proton transfer step since the iminium-enamine catalytic cycle is intrinsically a multiproton transfer process [26,27]. It was also found that trifluoroacetic acid (TFA) as an additive can further improve the catalyst activity and stereoselectivity. Thus, a combination of water (10 µL) with TFA (1.6 µL) led to a large increase in the yield and enantiomeric excess to 86% and 88%, respectively.
Employing the same benchmark test reaction as above, we subsequently evaluated the catalytic properties of various prolinamide derivatives shown in Figure 1. Under identical conditions, i.e., an excess of cyclohexanone as solvent and the catalyst loading of 10 mol.%, POX-bound prolinamides P1, P3, and P4 are able to catalyze the aldol reaction more effectively with higher stereoselectivity (yield up to 94%, anti/syn up to 84:16, ee of the anti-isomer up to 91%, entries 1, 2 and 4−6 in Table 1) compared with their monomeric counterpart MC1 and non-POX-conjugated catalyst P5 (9-29% yield, 58−68% ee; entries 7−8). However, P2 constitutes an exception to this general trend. With P2 as a catalyst, almost no reaction occurred (~5% yield, entry 3), and its small-molecular analogue MC2 led to a low yield but relatively high enantioselectivity (64% ee, Table 2, entry 9).
Notably, a comparison of P3 and P2, which differ in the length of the alkyl spacer connecting the polymer backbone with the prolinamide moiety, shows a dramatic difference in catalytic activity (entries 3 vs. 4, Table 1). The former containing a methylene linkage proved to be a highly active catalyst for the aldolization, but the latter, with a longer spacer, afforded only a negligible yield (~5%) in the same reaction even after 48 h. This result is in sharp contrast to what observed for some polymer-supported L-proline catalysts, where they exhibited a poor catalytic proficiency and the variation of spacer length had a little effect on the stereochemical outcomes of the aldol reaction [28]. Based on these observations, we reasoned that the CH 2 linker in P3 most likely forces both the tertiary amide and L-prolinamide moieties into such a close proximity that they act in concert to form a favorable microenvironment for the asymmetric induction. In other words, the tertiary amide backbone played a type of synergistic effect on the enantioselective transformation. to be understood that the essential role of water is due to significant promotion of the ratedetermining proton transfer step since the iminium-enamine catalytic cycle is intrinsically a multiproton transfer process [26,27]. It was also found that trifluoroacetic acid (TFA) as an additive can further improve the catalyst activity and stereoselectivity. Thus, a combination of water (10 L) with TFA (1.6 L) led to a large increase in the yield and enantiomeric excess to 86% and 88%, respectively. Employing the same benchmark test reaction as above, we subsequently evaluated the catalytic properties of various prolinamide derivatives shown in Figure 1. Under identical conditions, i.e. an excess of cyclohexanone as solvent and the catalyst loading of 10 mol%, POX-bound prolinamides   Table 1) compared with their monomeric counterpart MC1 and non-POX-conjugated catalyst P5 (9-29% yield, 5868% ee; entries 78). However, P2 constitutes an exception to this general trend. With P2 as a catalyst, almost no reaction occurred (~5% yield, entry 3), and its small-molecular analogue MC2 led to a low yield but relatively high enantioselectivity (64% ee, Table 2, entry 9).
Notably, a comparison of P3 and P2, which differ in the length of the alkyl spacer connecting the polymer backbone with the prolinamide moiety, shows a dramatic difference in catalytic activity (entries 3 vs 4, Table 1). The former containing a methylene linkage proved to be a highly active catalyst for the aldolization, but the latter, with a longer spacer, afforded only a negligible yield (~5%) in the same reaction even after 48 h. This result is in sharp contrast to what observed for some polymer-supported L-proline catalysts, where they exhibited a poor catalytic proficiency and the variation of spacer length had a little effect on the stereochemical outcomes of the aldol reaction [28]. Based on these observations, we reasoned that the CH2 linker in P3 most likely forces both the tertiary amide and L-prolinamide moieties into such a close proximity that they act in concert to form a favorable microenvironment for the asymmetric induction. In other words, the tertiary amide backbone played a type of synergistic effect on the enantioselective transformation. Contrastingly, the structural change introduced by the substituents at the alkyl spacer has a considerably large degree of influence on the stereochemical outcome. For example, higher enantioselectivity (87-91% ee) but with lower yield (4245%) were noticed for P1 in comparison to P4 (71-79% ee, 9194% yield; entries 12 vs 56, Table 1). Similarly, for the reaction of acetone (a smaller aldol donor than cyclohexanone) with 4-nitrobenzaldehyde P1 also gave a much higher ee value (74%) and lower yield (25%) than P3 (38% ee, 57% yield), as shown in Scheme 2 (also see: Figure   S20S21). These findings indicated that the benzyl group in the side chain may provide P1 with a rigid environment that preferred the stereocontrol in enamine/aldehyde reaction transition by steric hindrance, which could also be one of the factors responsible for the observed lower conversion because the bulky substituent prevents the access of substrates. Contrastingly, the structural change introduced by the substituents at the alkyl spacer has a considerably large degree of influence on the stereochemical outcome. For example, higher enantioselectivity (87-91% ee) but with lower yield (42−45%) were noticed for P1 in comparison to P4 (71-79% ee, 91−94% yield; entries 1−2 vs. 5−6, Table 1). Similarly, for the reaction of acetone (a smaller aldol donor than cyclohexanone) with 4-nitrobenzaldehyde P1 also gave a much higher ee value (74%) and lower yield (25%) than P3 (38% ee, 57% yield), as shown in Scheme 2 (also see: Figures S20-S21). These findings indicated that the benzyl group in the side chain may provide P1 with a rigid environment that preferred the stereocontrol in enamine/aldehyde reaction transition by A closer inspection of Table 1 reveals that there was some difference in the enantioselectivity between (R)-P1 and (S)-P1 (91% ee vs 87% ee), especially for (R)-P4 and (S)-P4 (79% ee vs 71% ee). That is, (R)-P1 and (R)-P4 offered better stereocontrol compared to their respective quasi-enantiomers (S)-P1 and (S)-P4 during the present aldol reaction. Such a matching effect of configuration between catalytic unit and chiral linker was also observed in other organocatalytic systems [30]. However, the configuration of the favored stereoisomer of the aldol products is dictated by the stereogenic center of L-prolinamide moiety rather than by that of the linker, as documented by Portnoy et al [31].
Of the synthesized prolinamide derivatives (Figure 1), P3 exhibited the overall best catalytic efficiency for the aldol reaction of cyclohexanone with 4-nitrobenzaldehyde. When reducing the catalyst loading to 5 mol%, high anti-selectivity (85% de) and good enantioselectivity (89% ee) were still provided for the aldol products in decent yield (84%) despite requiring longer reaction times (Table 1, entries 10, 11). The results are comparable to those of L-prolyl dipeptides (7298% de, 7393% ee) reported in the literature [20,28,29], even superior to some silica- [32] and polystyrene-supported [33] analogs (7687% de, 7579% ee) in the same process. Table 2 summarizes the influence of TFA additive on the P3-catalyzed aldol reaction in the case of keeping other parameters constant. The data show that the diastereoselectivity ranged from 72% to 84% for the aldol adducts while increasing the amount of TFA from 0 to 1 equiv. relative to the catalyst loading, and the ee of anti-1 improved from 42% to 88% (entries 16, Table 2). The yield reached a maximum (86%) at 0.8 equiv. of TFA addition and then dropped dramatically as more acid was introduced into the system. The decreased yield may be attributed to the hydrolysis of the iminium-ion intermediate in the catalytic cycle caused by excess acid [34] (see Figure S22). A similar trend was observed for P3 at a lower catalyst loading (5 mol%), and also for P5 (entries 710).

Mechanistic Studies Based on DFT Calculations
Our results, in combination with previous studies in the literature [20][21][22], showed that addition of acidic additives can markedly promote the aldol reactions. However, this effect has not been well explained theoretically to date. To gain an insight into the specific role of external acids, interactions between the enamine intermediate and the aldehyde acceptor were investigated in the gas phase using density functional methods. In the mechanism hypothesis for pyrrolidine-catalyzed aldol reactions [34] (see Figure S22), the formation of CC bond via the nucleophilic attack of enamine to aldehyde substrate is a stereoselectivity-determining step. Therefore, the favored stereoisomer of the aldol products could be predicted based on the relative energy barrier of the enamine/aldehyde reaction transition states [35][36][37]. Figures 2 and 3 present the optimized transition states for the aldol reaction of cyclohexanone with 4-nitrobenzaldehyde catalyzed by P3/P5 in the absence and presence of acidic protons, respectively. The relative energy barriers (ΔΔG) of the TSs and the corresponding stereoisomers are summarized in Table 3. A survey of data in Table 3 revealed that TSa1, TSc1, TSb1 or TSd1 has the lowest energy barrier in their respective catalytic systems (entries 1, 5). This suggests both P3 and P5 would preferentially afford anti-1a regardless of the presence of acidic additives. The transition state leading to anti-1a is more stable than the transition state to anti-1b by 1.48 kcal/mol and 1.84 kcal/mol for P1 and P2 catalysis without TFA, respectively (entries 1 vs 4, 5 vs 8). In the absence of acidic protons, these prolinamide catalysts rely on hydrogen bonding from the secondary amide NH to activate the aldehyde partner in the transition state, as shown in Figure 2. Judging from the bond length (shown by arrow in Figure 2), strong amide NHO hydrogen bonding between the catalyst and the aldehyde acceptor is primarily responsible for stabilizing the transition state TSa1 (or TSb1) compared Scheme 2. Aldol reaction of acetone with 4-nitrobenzaldehyde catalyzed by POX-bound prolinamides.
A closer inspection of Table 1 reveals that there was some difference in the enantioselectivity between (R)-P1 and (S)-P1 (91% ee vs. 87% ee), especially for (R)-P4 and (S)-P4 (79% ee vs. 71% ee). That is, (R)-P1 and (R)-P4 offered better stereocontrol compared to their respective quasi-enantiomers (S)-P1 and (S)-P4 during the present aldol reaction. Such a matching effect of configuration between catalytic unit and chiral linker was also observed in other organocatalytic systems [30]. However, the configuration of the favored stereoisomer of the aldol products is dictated by the stereogenic center of L-prolinamide moiety rather than by that of the linker, as documented by Portnoy et al [31].
Of the synthesized prolinamide derivatives (Figure 1), P3 exhibited the overall best catalytic efficiency for the aldol reaction of cyclohexanone with 4-nitrobenzaldehyde. When reducing the catalyst loading to 5 mol.%, high anti-selectivity (85% de) and good enantioselectivity (89% ee) were still provided for the aldol products in decent yield (84%) despite requiring longer reaction times (Table 1, entries 10, 11). The results are comparable to those of L-prolyl dipeptides (72−98% de, 73−93% ee) reported in the literature [20,28,29], even superior to some silica- [32] and polystyrene-supported [33] analogs (76−87% de, 75−79% ee) in the same process. Table 2 summarizes the influence of TFA additive on the P3-catalyzed aldol reaction in the case of keeping other parameters constant. The data show that the diastereoselectivity ranged from 72% to 84% for the aldol adducts while increasing the amount of TFA from 0 to 1 equiv. relative to the catalyst loading, and the ee of anti-1 improved from 42% to 88% (entries 1−6, Table 2). The yield reached a maximum (86%) at 0.8 equiv. of TFA addition and then dropped dramatically as more acid was introduced into the system. The decreased yield may be attributed to the hydrolysis of the iminium-ion intermediate in the catalytic cycle caused by excess acid [34] (see Figure S22). A similar trend was observed for P3 at a lower catalyst loading (5 mol.%), and also for P5 (entries 7−10).

Mechanistic Studies Based on DFT Calculations
Our results, in combination with previous studies in the literature [20][21][22], showed that addition of acidic additives can markedly promote the aldol reactions. However, this effect has not been well explained theoretically to date. To gain an insight into the specific role of external acids, interactions between the enamine intermediate and the aldehyde acceptor were investigated in the gas phase using density functional methods. In the mechanism hypothesis for pyrrolidine-catalyzed aldol reactions [34] (see Figure S22), the formation of C−C bond via the nucleophilic attack of enamine to aldehyde substrate is a stereoselectivity-determining step. Therefore, the favored stereoisomer of the aldol products could be predicted based on the relative energy barrier of the enamine/aldehyde reaction transition states [35][36][37]. Figures 2 and 3 present the optimized transition states for the aldol reaction of cyclohexanone with 4-nitrobenzaldehyde catalyzed by P3/P5 in the absence and presence of acidic protons, respectively. The relative energy barriers (∆∆G) of the TSs and the corresponding stereoisomers are summarized in Table 3. A survey of data in Table 3 revealed that TS a1 , TS c1 , TS b1 or TS d1 has the lowest energy barrier in their respective catalytic systems (entries 1, 5). This suggests both P3 and P5 would preferentially afford anti-1a regardless of the presence of acidic additives. The transition state leading to anti-1a is more stable than the transition state to anti-1b by 1.48 kcal/mol and 1.84 kcal/mol for P1 and P2 catalysis without TFA, respectively (entries 1 vs. 4, 5 vs. 8). In the absence of acidic protons, these prolinamide catalysts rely on hydrogen bonding from the secondary amide NH to activate the aldehyde partner in the transition state, as shown in Figure 2. Judging from the bond length (shown by arrow in Figure 2), strong amide N−H···O hydrogen bonding between the catalyst and the aldehyde acceptor is primarily responsible for stabilizing the transition state TS a1 (or TS b1 ) compared to TS a4 (or TS b4 ). Thus, the preference for yielding anti-1a rather than anti-1b was predicted, which is in good agreement with experimental observations (See: Table 2, Figures S16 and S17).
Catalysts 2019, 9, x FOR PEER REVIEW 6 of 11 to TSa4 (or TSb4). Thus, the preference for yielding anti-1a rather than anti-1b was predicted, which is in good agreement with experimental observations (See: Table 2, Figures S16 and S17).   to TSa4 (or TSb4). Thus, the preference for yielding anti-1a rather than anti-1b was predicted, which is in good agreement with experimental observations (See: Table 2, Figures S16 and S17).    For the TFA-assisted P3/P5-catalyzed aldol reaction, the activation mode of aldehyde acceptor is different from that in the absence of acidic additives. In this case, the carbonyl oxygen atom of the aldehyde acceptor is protonated preferentially (indicated by arrow in Figure 3). In the transition states TS c1 −TS c3 and TS d1 −TS d3 , which leading respectively to anti-1a, syn-1a, and syn-1b, a hydrogen bonding network formed by the acidic proton connects the carbonyl oxygen atoms of the acceptor and the prolinamide unit, whereas in TS c4 or TS d4 for anti-1b, the proton bridges the aldehyde carbonyl oxygen and the enamine nitrogen atoms. Of these protonated transition states, TS c4 and TS d4 are unfavored due to nonbonding interactions between the aromatic ring of the acceptor and the amide moiety adjacent to the polymer backbone. Notably, in the TFA-assisted P3 catalysis the energy difference of transition states for the enantiomer couples anti-1a and anti-1b is much greater than that observed for non-acid assisted system when compared pairwise (19.28 vs. 1.48 kcal/mol, entry 4 in Table 3). A similar situation also occurred in the P5 catalytic system (19.47 vs. 1.84 kcal/mol, entry 8 in Table 3). This provides a rationale for the improvement of enantioselectivity in the aldol reaction by acidic additives (see: Table 2, Figures S18 and S19).

Substrate Scope of Aldol Reactions and Recycling Experiments
Finally, we examined the applicability of P3 by the choice of aromatic aldehydes as aldol acceptors to respectively react with cyclohexanone, cyclopentanone, or 4-pyranone. As seen from Table 4, benzaldehydes bearing electron-withdrawing substituents can effectively participate in this reaction, affording anti-aldol products in excellent yields with high enantioselectivity, whereas the electron-rich substrates led to poor results. This trend is reasonable, because the aldehyde substrate acts as an electrophile in the reaction. Also, recycling of P3 was demonstrated for five cycles in which the catalyst was readily isolated by precipitation in ether and reused without further addition of acid to afford reproducible stereoselectivities in the model aldol reaction of cyclohexanone with 4-nitrobenzaldehyde, as shown in Table 5.  For the TFA-assisted P3/P5-catalyzed aldol reaction, the activation mode of aldehyde acceptor is different from that in the absence of acidic additives. In this case, the carbonyl oxygen atom of the aldehyde acceptor is protonated preferentially (indicated by arrow in Figure 3). In the transition states TSc1TSc3 and TSd1TSd3, which leading respectively to anti-1a, syn-1a, and syn-1b, a hydrogen bonding network formed by the acidic proton connects the carbonyl oxygen atoms of the acceptor and the prolinamide unit, whereas in TSc4 or TSd4 for anti-1b, the proton bridges the aldehyde carbonyl oxygen and the enamine nitrogen atoms. Of these protonated transition states, TSc4 and TSd4 are unfavored due to nonbonding interactions between the aromatic ring of the acceptor and the amide moiety adjacent to the polymer backbone. Notably, in the TFA-assisted P3 catalysis the energy difference of transition states for the enantiomer couples anti-1a and anti-1b is much greater than that observed for non-acid assisted system when compared pairwise (19.28 vs 1.48 kcal/mol, entry 4 in Table 3). A similar situation also occurred in the P5 catalytic system (19.47 vs 1.84 kcal/mol, entry 8 in Table 3). This provides a rationale for the improvement of enantioselectivity in the aldol reaction by acidic additives (see: Table 2, Figures S18 and S19).

Substrate Scope of Aldol Reactions and Recycling Experiments
Finally, we examined the applicability of P3 by the choice of aromatic aldehydes as aldol acceptors to respectively react with cyclohexanone, cyclopentanone, or 4-pyranone. As seen from Table 4, benzaldehydes bearing electron-withdrawing substituents can effectively participate in this reaction, affording anti-aldol products in excellent yields with high enantioselectivity, whereas the electron-rich substrates led to poor results. This trend is reasonable, because the aldehyde substrate acts as an electrophile in the reaction. Also, recycling of P3 was demonstrated for five cycles in which the catalyst was readily isolated by precipitation in ether and reused without further addition of acid to afford reproducible stereoselectivities in the model aldol reaction of cyclohexanone with 4nitrobenzaldehyde, as shown in Table 5.     3 ] was prepared as reported [38] and dehydrated in vacuum at 200 • C for 48 h, then stored under nitrogen. Other chemicals were used as received.

Characterization
1 H NMR and 13 C NMR spectra were measured on a Bruker (Karlsruhe, German) Avance DMX-500 spectrometer. Chemical shifts were reported in δ ppm relative to tetramethylsilane (TMS) as an internal standard. Size-exclusion chromatography (SEC) was measured on a Waters−150C (Milford, MA, USA) apparatus equipped with two PL gel 5 µm MIXED-C 300 × 7.5 mm columns and a differential refractometer detector using tetrahydrofuran (THF) as the eluent (flow rate 1 mL/min, 40 • C). The number-average molecular weight (M n ) and polydispersity index (PDI) of the polymers were calculated based on a polystyrene calibration. Electrospray ionization mass spectrometry (ESI-MS) measurements were performed on a Varian 500 mass spectrometer (Palo Alto, CA, USA). Chiral high-performance liquid chromatography (HPLC) data were collected on a Chromeleon ® (Sunnyvale, CA, USA) apparatus equipped with a Chiralpak AD-H (4.6 mm × 250 mm) column (Shanghai, China) using a solution of n-hexane/2-propanol (90/10, v/v) as an eluent at a flow rate of 1.0 mL/min.

Computational Methods
All the transition states (TSs) were optimized by B3LYP/6-31G(d,p) methods. Frequency calculations and intrinsic reaction coordinate (IRC) calculations were conducted to confirm the calculated transition states. Results demonstrated that all TSs have only one imaginary frequency and the pathway for each TS connected the desired products with the reactants. Gibbs free energies were obtained at 1 atm with the temperature set as 293 K. All calculations were performed using the Gaussian 03 program package [39].

Conclusions
In this research, a series of poly(2-oxazoline)s bearing L-proline residues as the pendants through an amide linkage have been synthesized and used as organocatalysts for the aldol reaction of cyclic ketones with aromatic aldehydes. Their catalytic activities were found to be sensitively influenced by the length of the alkyl linker and its substituent. In the representative aldol reaction of cyclohexanone with 4-nitrobenzaldehye, the POX-bound prolinamide (P1) containing a benzyl group on the spacer provided higher enantioselectivity (87-91% ee) but lower yield (42-45%) than its analog P4 with methyl substituent (71-79% ee, 91-94% yield). Of the prolinamide catalysts studied, P3 featuring a short alkyl linker was the best performer, affording anti-aldol products with good yield (84%) and stereoselectivity (85:15 anti:syn ratio, 89% ee) at a 5 mol.% catalyst loading. Introduction of acidic protons has a beneficial to the enhancement of yield and enantioselectivity in the aldol reactions. On the basis of density functional theory calculation, the high reactivity and stereoselectivity could be described to the protonation of aldehyde acceptor as well as activation of the acceptor via a hydrogen bonding network with the carbonyl oxygen atom of the prolinamide moieties.