Several models exist to describe chiral induction at carbonyl carbons during nucleophilic additions. These models are based on a combination of steric and electronic considerations and are often in conflict with each other. Models have been devised by Cram (1952), Cornforth (1959), Felkin (1969) and others.
Cram's rule The '''Cram's rule of asymmetric induction'
named after Donald J. Cram states In certain non-catalytic reactions that diastereomer will predominate, which could be formed by the approach of the entering group from the least hindered side when the rotational conformation of the C-C bond is such that the double bond is flanked by the two least bulky groups attached to the adjacent asymmetric center.
The rule indicates that the presence of an asymmetric center in a molecule induces the formation of an asymmetric center adjacent to it based on steric hindrance (scheme 1''). : The experiments involved two reactions. In experiment one
2-phenylpropionaldehyde (
1,
racemic but (R)-enantiomer shown) was reacted with the
Grignard reagent phenylmagnesium bromide to
1,2-diphenyl-1-propanol (
2) as a mixture of
diastereomers, predominantly the
threo isomer (see for explanation the
Fischer projection). The preference for the formation of the threo isomer can be explained by the rule stated above by having the active
nucleophile in this reaction attacking the
carbonyl group from the least hindered side (see
Newman projection A) when the carbonyl is positioned in a
staggered formation with the
methyl group and the
hydrogen atom, which are the two smallest
substituents creating a minimum of
steric hindrance, in a
gauche orientation and
phenyl as the most bulky group in the
anti conformation. The second reaction is the
organic reduction of
1,2-diphenyl-1-propanone 2 with
lithium aluminium hydride, which results in the same reaction product as above but now with preference for the
erythro isomer (
2a). Now a
hydride anion (H−) is the nucleophile attacking from the least hindered side (imagine hydrogen entering from the paper plane).
Felkin model The
Felkin model (1968) named after
Hugh Felkin also predicts the
stereochemistry of
nucleophilic addition reactions to
carbonyl groups. Felkin argued that the Cram model suffered a major drawback: an
eclipsed conformation in the
transition state between the carbonyl substituent (the hydrogen atom in aldehydes) and the largest α-carbonyl substituent. He demonstrated that by increasing the steric bulk of the carbonyl substituent from
methyl to
ethyl to
isopropyl to
tert-butyl, the
stereoselectivity also increased, which is not predicted by Cram's rule: : The Felkin rules are: • The
transition states are reactant-like. •
Torsional strain (Pitzer strain) involving partial bonds (in transition states) represents a substantial fraction of the strain between fully formed bonds, even when the degree of bonding is quite low. The conformation in the TS is
staggered and not eclipsed with the substituent R skew with respect to two adjacent groups one of them the smallest in TS A. : : For comparison TS B is the Cram transition state. • The main steric interactions involve those around R and the nucleophile but not the carbonyl oxygen atom. • Attack of the nucleophile occurs according to the Dunitz angle (107 degrees), eclipsing the hydrogen, rather than perpendicular to the carbonyl. • A
polar effect or electronic effect stabilizes a transition state with maximum separation between the nucleophile and an
electron-withdrawing group. For instance
haloketones do not obey Cram's rule, and, in the example above, replacing the electron-withdrawing
phenyl group by a
cyclohexyl group reduces stereoselectivity considerably.
Felkin–Anh model The
Felkin–Anh model is an extension of the Felkin model that incorporates improvements suggested by Nguyễn Trọng Anh and
Odile Eisenstein to correct for two key weaknesses in Felkin's model. The first weakness addressed was the statement by Felkin of a strong polar effect in nucleophilic addition transition states, which leads to the complete inversion of stereochemistry by SN2 reactions, without offering justifications as to why this phenomenon was observed. Anh's solution was to offer the antiperiplanar effect as a consequence of asymmetric induction being controlled by both substituent and orbital effects. In this effect, the best nucleophile acceptor σ* orbital is aligned parallel to both the π and π* orbitals of the carbonyl, which provide stabilization of the incoming anion. The second weakness in the Felkin Model was the assumption of substituent minimization around the carbonyl R, which cannot be applied to aldehydes. Incorporation of
Bürgi–Dunitz angle ideas allowed Anh to postulate a non-perpendicular attack by the nucleophile on the carbonyl center, anywhere from 95° to 105° relative to the oxygen-carbon double bond, favoring approach closer to the smaller substituent and thereby solve the problem of predictability for aldehydes.
Anti–Felkin selectivity Though the Cram and Felkin–Anh models differ in the
conformers considered and other assumptions, they both attempt to explain the same basic phenomenon: the preferential addition of a
nucleophile to the most sterically favored face of a
carbonyl moiety. However, many examples exist of reactions that display stereoselectivity opposite of what is predicted by the basic tenets of the Cram and Felkin–Anh models. Although both of the models include attempts to explain these reversals, the products obtained are still referred to as "anti-Felkin" products. One of the most common examples of altered asymmetric induction selectivity requires an α-carbon substituted with a component with
Lewis base character (i.e. O, N, S, P substituents). In this situation, if a
Lewis acid such as Al-iPr2 or Zn2+ is introduced, a
bidentate chelation effect can be observed. This locks the
carbonyl and the
Lewis base substituent in an eclipsed conformation, and the
nucleophile will then attack from the side with the smallest free α-carbon substituent. If the chelating R group is identified as the largest, this will result in an "anti-Felkin" product. This
stereoselective control was recognized and discussed in the first paper establishing the Cram model, causing Cram to assert that his model requires non-chelating conditions. An example of
chelation control of a reaction can be seen here, from a 1987 paper that was the first to directly observe such a "Cram-chelate" intermediate, vindicating the model: Here, the methyl titanium chloride forms a Cram-chelate. The methyl group then dissociates from
titanium and attacks the carbonyl, leading to the anti-Felkin diastereomer. A non-chelating electron-withdrawing substituent effect can also result in anti-Felkin selectivity. If a substituent on the α-carbon is sufficiently electron withdrawing, the
nucleophile will add
anti- relative to the
electron withdrawing group, even if the substituent is not the largest of the 3 bonded to the α-carbon. Each model offers a slightly different explanation for this phenomenon. A polar effect was postulated by the Cornforth model and the original Felkin model, which placed the EWG substituent and incoming
nucleophile anti- to each other in order to most effectively cancel the
dipole moment of the
transition structure. This
Newman projection illustrates the Cornforth and Felkin
transition state that places the EWG
anti- to the incoming
nucleophile, regardless of its steric bulk relative to RS and RL. The improved Felkin–Anh model, as discussed above, makes a more sophisticated assessment of the polar effect by considering
molecular orbital interactions in the stabilization of the preferred transition state. A typical reaction illustrating the potential anti-Felkin selectivity of this effect, along with its proposed
transition structure, is pictured below: ==Carbonyl 1,3 asymmetric induction==