Density functional calculations (Becke3LYP/6-31G(d)) on the (3 + 2) transition structures of osmium tetroxide mediated dihydroxylations of chiral allylic ethers show that the stereoselectivity is controlled by the “inside alkoxy effect” (Stork/Houk-Jäger model). In the special case of Z -disubstituted alkenes, 1,3-allylic strain (Kishi model) controls the stereoselectivity.
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Haller et al. (1997) studied this question.