Chem. Educator 2010, 15, 331–333 331 Using Curved Arrows for Retrosynthetic Analysis John W. Keller Department of Chemistry and Biochemistry, University of Alaska Fairbanks, Fairbanks, AK 99775-6160, [email protected] Received December 10, 2009. Accepted January 14, 2010. Abstract: The purpose of this article is to advocate the wider use of curved arrows by organic chemistry students as a tool for retrosynthetic analysis, particularly for synthesis problems involving Grignard-carbonyl additions, aldol-, Claisen-, and Michael condensations, Diels-Alder, and other C-C bond-forming reactions. This type of problem is challenging because it requires inductive reasoning that is rarely found elsewhere in the curriculum. However, solving retrosynthetic problems becomes easier when one uses several curved arrows to follow deductively the reverse mechanism. The important first steps of several example retro-reactions are described, and the curved arrow versions of these reactions are given in the Supporting Material. The main benefit of this approach is that, once the appropriate type of synthesis reaction is identified, the correct synthons structures can be generated. Retrosynthetic analysis is the stepwise disconnection of bonds in a complex product molecule to form smaller precursors that, going in the forward direction, would form the product by a known chemical reaction. The idea was first described by E.J. Corey, who later developed the computer program LHASA to automate the analysis using a database of known reactions [1–5]. Several books aimed at advanced practitioners have been published on the subject [6–10]. More recently, the THERESA computer program for retrosynthetic analysis has been developed [11] and it has been used in undergraduate organic chemistry instruction [12]. The retrosynthetic concept has been incorporated into organic chemistry textbooks for over 20 years and was discussed in one journal article [13]. Textbooks generally present the concept using classic formal representations that may not be intuitive for the beginning organic chemistry student. Two notations were introduced by Corey for describing retrosynthetic disconnections: a double reverse arrow aimed toward the starting materials, and a tilde symbol across the bond to be disconnected. For example, an aldol condensation disconnection using these symbols is depicted in Eq. 1. Most recent editions of organic chemistry textbooks use the double reverse arrow symbol and a bold or wavy line in place of the tilde. OH H O O H condensations to write out the first reverse step in order to provide the electron pair that will subsequently flow back to form reactants. (2) The stepwise algorithm for the retro-aldol reaction is as follows: (a) deprotonation of the aldol OH to form an alkoxide, (b) use of the resulting electron pair to simultaneously make the C = O bond and an enolate carbanion, (c) protonation of the enolate α-carbon. The retrosynthetic reaction shown in Eq. 2 mirrors the forward aldol mechanism that students have already learned (Eq. 3). The forward stepwise mechanism is as follows: (c’) deprotonation of the enolate precursor α-carbon, (b’) nucleophilic attack of the enolate α-carbon on the C = O making an alkoxide, (a’) protonation of the alkoxide with a proton donor. O (3) (1) For students, the problem with a tilde or wavy line is that it is descriptive only; the logic of the disconnection is seen only after the reactant structures are provided, if then. One way to make working backwards easier is to write the reverse mechanism using curved arrows. In the case of the aldol condensation, the curved arrows first show the reverse of the last step in the forward direction, i.e., deprotonation of the product aldol (Eq. 2). This approach gives students a logical, written process that virtually assures generation of the correct reactant structures. It is especially important in anion Writing the first step of a reverse mechanism is crucial to obtaining correct starting structures. The first steps for eight reactions, most of which involve C-C bond-forming reactions that are fundamentally important in organic synthesis, are shown in Table 1. Students can use this method to solve singlestep synthesis problems involving these C-C bond-forming reactions, or use it in multi-step synthesis problems to design possible intermediates. The full reverse mechanisms for these reactions are shown in Table S1 in the Supporting Material where several steps corresponding to formation of the known © 2010 The Chemical Educator, S1430-4171(10)12301-X, Published 09/17/2010, 10.1333/s00897102301a, 15100331.pdf 332 Chem. Educator, Vol. 15, 2010 John W. Keller Table 1. Starting a retrosynthetic analysis: the first reverse step* No. 1 2 3 Forward Reaction Aldol Aldol dehydration Claisen condensation 4 Michael condensation 5 6 Hydride reduction or grignard addition Diels-Alder (concerted) 7 8 Reductive amination Wittig 9 10 Acetylide addition Williamson ether synthesis First Reverse Step Remove a proton from the product β-OH to form the alkoxide intermediate. Add OH– ion back to β-carbon of the α,β-unsaturated ketone to form the aldol enolate. Add ethoxide back to one of the C=O groups of the 1,3-dicarbonyl product to form an intermediate tetrahedral alkoxide. Remove a proton from an interior α-carbon of the product 1,5-dicarbonyl compound to form an intermediate enolate. Remove a proton from product OH to form an intermediate tetrahedral alkoxide. Orient the product C=C on the left, move the π-bond electron pair CW (or CCW), move the 3rd and 5th bonds CW (or CCW) [15]. Remove a proton from product NH to form an intermediate imine anion. Add triphenylphosphine oxide back onto the C=C bond in either orientation to form the oxaphosphetane intermediate. Break the single bond on the sp-carbon to form an acetylide ion and a carbocation synthon [14]. Break the C-O bond on the side of a methyl or primary carbon to form an alkoxide ion and a carbocation synthon. *See Table S1 for the full retrosynthetic mechanism. intermediates in the forward direction (or the concerted DielsAlder reaction) are shown, along with a step-by-step commentary. Table S2 in the Supporting Material shows several typical single and multi-step synthesis problems and retrosynthetic solutions using curved arrows. The use of curved arrows for retrosynthetic analysis does occur rarely in current textbooks. Two that the author could find are a retro-acetylide substitution [14] and a retro-DielsAlder reaction [15]. Hydride reduction and Grignard addition are combined as entry 5 in Table 1 because the first reverse step is the same in both, namely, deprotonation of OH to generate an alkoxide ion. When the carbonyl bond is re-formed with a curved arrow it becomes apparent that any of the three atoms or groups can be detached as anions, i.e., H as hydride or alkyl or aryl groups as carbanions. Of course these reactions do not literally produce hydride or carbanions in the reverse direction. Corey referred to such fragments generated by retrosynthetic analysis as synthons. Synthons are not necessarily stable molecules, but they have stable, known substances as synthetic equivalents. The synthetic equivalent for H– ion is NaBH4 or LiAlH4. The synthetic equivalents for carbanions are Grignard or alkyl lithium reagents. Also in the category of “unlikely but useful retro-reactions” are nucleophilic substitutions (Table 1, entries 9 and 10) in which the curved-arrow retro-reaction requires formation of a 1° or 2° carbocation. In these cases the synthetic equivalent of the carbocation is the corresponding alkyl halide [14]. The retro-Wittig reaction (Table 1, entry 8) is unlikely experimentally because formation of the oxaphosphetane from an alkene and triphenylphosphine oxide is endothermic by 30 kcal/mol [16]. Nevertheless, writing the retro-Wittig mechanism is a powerful tool for deducing the reactant structures. It should be emphasized that the main use of curved arrows for retrosynthetic analysis is the generation of the correct reactant structures after the appropriate retro-reaction has been identified. On the other hand, the reverse aldol reaction, which is a retro-aldol fragmentation, is often observed experimentally, as are several other reactions in Table 1. Retro-Claisen [17] and retro-Michael [18] reactions are known. Retro-Diels-Alder reactions are rather common. Precedents for retro-hydride reductions do exist, however these are mainly biochemical, since organic chemical oxidizing agents usually remove H as H+ rather than H–. For example, retro-hydride reduction of a ketone or aldehyde (Table 1, entry 5) is analogous to biochemical NAD+ dependent alcohol oxidation, which occurs by concerted deprotonation of the OH group, formation of a C = O bond, and transfer of hydride ion to the oxidized nucleotide, albeit no free hydride is formed on the enzyme. Likewise, retro-reductive amination of a ketone or aldehyde (Table 1, entry 7) is analogous to biochemical oxidative deamination. This reaction is catalyzed by glutamate dehydrogenase, and occurs by concerted deprotonation of NH2, formation of an imine C = N bond, and transfer of hydride to NAD+ [19]. In summary, this curved arrow method requires only the standard curved-arrow notation, and introduces no new terminology or symbolic representations aside from the retrosynthetic double arrow. It reinforces student learning of the standard synthesis reaction mechanisms, and it is an analysis tool that can be applied in many different synthesis situations. Supporting Materials. Table S1 contains the detailed reverse mechanisms of ten synthesis reactions and brief stepby-step procedures for writing the starting compound structures. Table S2 contains example single and multi-step problems with solutions based on curved arrow retrosynthetic analysis. References and Notes 1. Pensak, D. 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