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Essentials of Computational Chemistry

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392 11 IMPLICIT MODELS FOR CONDENSED PHASES<br />

the energy surface that generates the gas-phase reaction coordinate may be quite different<br />

from the one-dimensional slice that generates the reaction coordinate on the solvated surface.<br />

Put differently, solvation can move a stationary point not only along the gas-phase reaction<br />

coordinate but in other directions as well. Thus, if one constructs a solution coordinate by<br />

computing solvation free energies point-by-point for the gas-phase coordinate, one may miss<br />

important effects associated with movement <strong>of</strong>f the gas-phase reaction coordinate. This is<br />

illustrated by the example <strong>of</strong> the Claisen rearrangement <strong>of</strong> allyl vinyl ether in Figure 11.5.<br />

Here the reaction coordinate may be thought <strong>of</strong> as the difference in distance between the<br />

initially bonded O3 and C4 atoms and the ultimately bonded C1 and C6 atoms. In water,<br />

aldehydes are better solvated than ethers, and this differential solvation is felt by the TS<br />

structure, so that it shifts to the right along the reaction coordinate (new TS location not<br />

shown). However, it also moves along an orthogonal coordinate best described by the distance<br />

between the C1C2O3 and C4C5C6 fragments. Polar solvents interact more strongly with a<br />

TS structure having greater interfragment separation because <strong>of</strong> the zwitterionic character<br />

associated with this structure. This move <strong>of</strong>f the reaction coordinate can significantly lower<br />

the activation free energy.<br />

Another situation that can complicate the interpretation <strong>of</strong> a reaction in solution by comparison<br />

to the gas phase involves a reaction that fails to have corresponding stationary points in<br />

the gas phase. If there is no stationary point in the gas phase, there is no real sense in talking<br />

about the free energy <strong>of</strong> solvation <strong>of</strong> the structure that exists in solution. A good example<br />

E<br />

O<br />

O<br />

O<br />

O<br />

Reaction coordinate<br />

Figure 11.5 Gas-phase reaction coordinate for the Claisen rearrangement <strong>of</strong> allyl vinyl ether<br />

−<br />

+<br />

O

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