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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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456 Jacopo Tomasi, Benedetta Mennucci, Chiara Cappelli<br />

choices make the results indirectly relevant to the question <strong>of</strong> the difference between traditional<br />

and effective intermolecular potential energies. However, some hints can be extracted<br />

from the available data. The experience thus far collected shows that when both M<br />

and S have a polar nature, the classical electrostatic contributions are dominant with an exchange-repulsion<br />

term, giving an important contribution to the energy but a small effect on<br />

the charge distribution <strong>of</strong> M and, as a consequence, on the molecular properties on which<br />

the interaction potential depends (e.g., multipole distribution <strong>of</strong> the charge density, static<br />

and dynamic polarizabilities). Dispersion effects play a role when M is not polar and they<br />

become the dominant component <strong>of</strong> the solvation effects when both M and S are not polar.<br />

The calculation <strong>of</strong> effective PCM interaction potentials has been so far limited to the<br />

cases in which the solvent effects are more sizeable, namely the interactions <strong>of</strong> metal cations<br />

with water. They have been used in computer simulations <strong>of</strong> models <strong>of</strong> very dilute<br />

ionic solutions (a single ion in water), noticeably improving the results with respect to similar<br />

studies using traditional potentials. 34<br />

8.6 THE VARIETY OF INTERACTION POTENTIALS<br />

In the preceding sections we have examined the definition <strong>of</strong> the components <strong>of</strong> the<br />

intermolecular potential, paying attention mostly to rigorous methods and to some approximations<br />

based on these methods.<br />

The beginning <strong>of</strong> qualitative and semi-quantitative computational studies on the properties<br />

<strong>of</strong> liquids dates back at least to the 1950s, and in the early years <strong>of</strong> these studies, the<br />

computational resources were not so powerful as they are today. For this reason, for many<br />

years, the potentials used have been simple, discarding what our understanding <strong>of</strong> the<br />

dimeric interactions suggested. There is no reason, however, to neglect here these simplified<br />

versions <strong>of</strong> the potential, because very simple and naïve expressions have given excellent<br />

results and are still in use. The struggle for better and more detailed potentials is<br />

justified, <strong>of</strong> course, because chemistry always tends to have more and more accurate estimates<br />

<strong>of</strong> the properties <strong>of</strong> interest, and there are many problems in which a semi-quantitative<br />

assessment is not sufficient.<br />

We shall try to give a cursory view <strong>of</strong> the variety <strong>of</strong> intermolecular potentials in use for<br />

liquid systems, paying more attention to the simplest ones. We shall almost completely neglect<br />

potentials used in other fields, such as the scattering <strong>of</strong> two isolated molecules, the determination<br />

<strong>of</strong> spectroscopic properties <strong>of</strong> dimers and trimers, and the accurate study <strong>of</strong><br />

local chemical interactions, which all require more sophisticated potentials.<br />

The main criterion to judge the quality <strong>of</strong> a potential is a posteriori, namely, based on<br />

the examination <strong>of</strong> the performance <strong>of</strong> that potential in describing properties <strong>of</strong> the liquid<br />

system. In fact, the performances <strong>of</strong> a potential are to a good extent based on subtle factors<br />

expressing the equilibrium reached in the definition <strong>of</strong> its various components. The experience<br />

gained in using this criterion has unfortunately shown that there is no definite answer.<br />

Typically, a potential, or a family <strong>of</strong> potentials, better describe some properties <strong>of</strong> the liquid,<br />

while a second one is more proper for other properties. For this reason there are many potentials<br />

in use for the same liquid and there are in the literature continuous comparisons among<br />

different potentials. A second criterion is based on the computational cost, an aspect <strong>of</strong> direct<br />

interest for people planning to make numerical studies but <strong>of</strong> little interest for people<br />

only interested in the results.

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