Reactions Zero-or Second-Order in Substrate

KR processes zero-order in substrate have never been reported. Some pseudo-first-order KR processes have been described but involving chiral metal catalyst [28]. 

Equation 2.2 becomes d[R] = s [dS], which provides Equation 2.10 after integration. 

The introduction of ee jj and C by a combination of Equations 2.10 and 2.5 furnishes Equation 2.11, which is the equivalent of Equation 2.6 for first-order reactions  

Erom Equation 2.11, it is possible to give an analytical expression for ee j as C(s- 1) 

A KR second-order in substrate is rarely encountered. It will be not detailed here, as we have discussed it elsewhere [9]. A detailed computation of reactions first-order both in substrate and reagent (overall second-order) has been performed by Ugi et al. [29] for equimolar amounts of two components of a reaction with various enantiomeric excesses (see also Section 2.2.4). 

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