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This is calculated from eq 12, obtaining β from K by the equation of Kagan (see ref 24). The calculation of β is equally valid for asymmetric catalysis and kinetic resolutions.
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R versus ee of the binaphthol in ref 26 cannot be modeled without assuming a nonlinear effect. However, because all such plots are curved, their use to distinguish nonlinear effects is at best complicated.
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Unlike Figure 3, HKR reactions in THF appear to increase somewhat in selectivity as the reaction proceeds, with upward deviation of a graph of the enantiomeric excess obtained versus fractional conversion, compared to the theoretical curve. The DKEE thus changes somewhat as the reaction proceeds.
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