Offer a mechanistic interpretation of the following observations.
a. Although there is a substantial difference in the rate at which 13-A and 13-B solvolyze (13-A reacts $4.4 \times 10^{4}$ times faster than 13-B in acetic acid), both compounds give products of completely retained configuration.
b. The solvolysis of 13-C is much more sensitive to aryl substituent effects than that of 13-D.
c. Although stereoisomers $13-E$ and $13-F$ solvolyze in aqueous acetone at similar rates, the reaction products are quite different.
d. Solvolysis of compounds 13-I and 13-J exhibits rate enhancement relative to a homoadamantane analog and gives product mixtures that are quite similar
On the other hand, compound $\mathbf{1 3}-\mathbf{K}$ is less reactive than the saturated analog and gives a different product mixture.
e. The solvolysis of both stereoisomers of 5 -fluoro- and 5 -trimethylstannyl-2adamantyl tosylate has been examined and the two have been compared. The relative rates and stereochemistry are summarized below.