07.04.2013 Views

Essentials of Computational Chemistry

Essentials of Computational Chemistry

Essentials of Computational Chemistry

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

422 11 IMPLICIT MODELS FOR CONDENSED PHASES<br />

different from the solvent is represented in both the electrostatic and non-electrostatic terms<br />

(Spassov, Yan, and Szalma 2002).<br />

Still faster timescales are associated with phenomena like electron transfer (i.e., redox<br />

reactions) and photon absorption/emission and possible associated electronic excitation.<br />

Since these processes occur on the timescale <strong>of</strong> electronic motion, the surrounding solvent<br />

molecules may be regarded as frozen in place during the reaction, and clearly an equilibrium<br />

view <strong>of</strong> the instantaneous solvation is incorrect.<br />

These issues will be addressed in more detail in Chapters 14 and 15. Here, we will simply<br />

note that successful extensions <strong>of</strong> continuum models to such ultrafast processes as electron<br />

transfer and photoexcitation requires that the response properties <strong>of</strong> the solvent be explicitly<br />

separated into slow and fast parts that interact with the solute over the appropriate timescales<br />

(see, for instance, Cossi and Barone 2000). This approach can also be used for dealing with<br />

non-equilibrium effects on transition states. However, unless there is a very sudden transfer<br />

<strong>of</strong> charge that takes place over a significant distance failure to account for non-equilibrium<br />

effects rarely has much consequence in estimating a free energy <strong>of</strong> activation – errors in<br />

the gas-phase potential energy difference between minima and the TS structure are typically<br />

larger in magnitude. Thus, unmodified continuum solvation models can still be quite useful in<br />

constructing diagrams like that shown in Figure 11.4 for the purpose <strong>of</strong> describing reactivity<br />

in solution.<br />

11.5 Case Study: Aqueous Reductive Dechlorination<br />

<strong>of</strong> Hexachloroethane<br />

Synopsis <strong>of</strong> Patterson, Cramer, and Truhlar (2001) ‘Reductive Dechlorination <strong>of</strong> Hexachloroethane<br />

in the Environment. Mechanistic Studies via <strong>Computational</strong> Electrochemistry’.<br />

Halogenated alkanes are very useful as solvents in a variety <strong>of</strong> industrial processes (at one<br />

time they were the solvents <strong>of</strong> choice for the dry cleaning <strong>of</strong> clothes, for example). The scale<br />

<strong>of</strong> their use is such that their accidental or deliberate discharge into the environment can<br />

lead to long-term contamination problems. As is true for many environmental contaminants,<br />

the molecule originally released may not be a particular danger from an environmental<br />

perspective, but some product into which it is transformed may be considerably more<br />

cause for concern.<br />

An example is hexachloroethane (C2Cl6). In environmental aqueous phases, it typically<br />

undergoes reductive dechlorination relatively rapidly. One product <strong>of</strong> this dechlorination,<br />

produced in small amounts, is trichloroacetic acid (Cl3CCO2H), which is a regulated<br />

carcinogen in the United States. The authors studied the mechanistic aspects <strong>of</strong> C2Cl6<br />

reductive dechlorination with both methodological and chemical goals. The methodological<br />

question involved identifying appropriate levels <strong>of</strong> theory for modeling the relevant<br />

reactions, while the chemical questions to be addressed were associated with identifying the<br />

relevant mechanistic pathways for reduction and any possible explanation for the generation<br />

<strong>of</strong> Cl3CCO2H as a product.<br />

Various data were available for comparison in order to identify adequate theoretical<br />

levels for application. Table 11.5 illustrates the performance <strong>of</strong> two different levels <strong>of</strong><br />

theory, CCSD(T)/aug-cc-pVDZ//BPW91/aug-cc-pVDZ and BPW91/aug-cc-pVDZ, with

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!