Epoxide Opening with Sodium Hydride
in acidic media, the nucleophile tends to attack the more substituted side of the epoxide due to electronic reasons


This is an $\ce{S_{N}1}$ like reaction. First we would protonate the epoxide oxygen.  If we examine the case of an unsymmetrical epoxide and draw the resonance structures for this situation (see below) we would expect the secondary carbocation structure to count more towards the actual structure than the primary carbocation structure.  Therefore, we would expect a nucleophile to react preferentially at the tertiary epoxide carbon, quite selectively.




  in basic media, the nucleophile attacks the less substituted side of
  the epoxide due to steric reasons.


This would be a traditional $\ce{S_{N}2}$ reaction.  Attack at the least substituted (sterically most accessible) carbon would be expected.


  What if the hydride anion attacks an epoxide? I'd imagine the hydride
  anion to be quite small, and able to attack both the more substituted
  and less substituted sides of an asymmetric epoxide. What are the
  experimental results?


The hydride anion is not free, but complexed, so it has reasonable steric bulk - enough for stereoselective reactions to occur.   Further, the reaction between LAH and epoxides is quite facile, no doubt accelerated by the release of steric strain in the 3-membered epoxide ring system. A traditional $\ce{S_{N}2}$ reaction takes place.  In the figure below, the alcohol shown is formed in ca. 90% yield.  Because of the "backside" attack nature of the $\ce{S_{N}2}$ reaction axial attack is strongly preferred in cyclic systems.