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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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

introducing important changes in the standard theoretical approach with respect to that used<br />

for other liquid systems. Computer simulations are the methods more largely used to describe<br />

pores and micro-pores in molecular sieves <strong>of</strong> various nature.<br />

A different type <strong>of</strong> confined liquid is given by a thin layer spread on a surface. The difference<br />

with respect to the micro-pore is that this is a three-component system: the surface<br />

may be a solid or a liquid, while the second boundary <strong>of</strong> the layer may regard another liquid<br />

or a gas. An example is a thin layer liquid on a metal, in the presence <strong>of</strong> air (the prodrome <strong>of</strong><br />

many phenomena <strong>of</strong> corrosion); a second example is a layer on a second liquid (for example,<br />

oil on water). The standard approach may be used again, but other phenomena occurring<br />

in these systems require the introduction <strong>of</strong> other concepts and tools: we quote, for<br />

example, the wetting phenomena, which require a more accurate study <strong>of</strong> surface tension.<br />

The thin layer in some case exhibits a considerable self-organization, giving rise to organized<br />

films, like the Blodgett-Langmuir films, which may be composed by several layers,<br />

and a variety <strong>of</strong> more complex structures ending with cellular membranes. We are here at<br />

the borderline between liquid films and covalently held laminar structures. According to the<br />

degree <strong>of</strong> rigidity, and to the inter-unit permeation interaction, the computational model<br />

may tune different potentials and different ways <strong>of</strong> performing the simulation.<br />

Another type <strong>of</strong> confined liquid regards drops or micro-drops dispersed in a medium.<br />

We are here passing from confined liquids to the large realm <strong>of</strong> dispersed systems, some<br />

among which do not regard liquids.<br />

For people interested in liquids, the next important cases are those <strong>of</strong> a liquid dispersed<br />

into a second liquid (emulsions), or a liquid dispersed in a gas (fogs), and the opposite cases<br />

<strong>of</strong> a solid dispersed in a liquid (colloids) or <strong>of</strong> a gas dispersed in a liquid (bubbles).<br />

Surface effects on those dispersed systems can be described, using again the standard<br />

approach developed in the preceding sections: intermolecular potentials, computer simulations<br />

(accompanied where convenient by integral equation or continuum approaches).<br />

There is not much difference with respect to the other cases.<br />

A remark <strong>of</strong> general validity but particular for these more complex liquid systems<br />

must be expressed, and strongly underlined.<br />

We have examined here a given line <strong>of</strong> research on liquids and <strong>of</strong> calculations <strong>of</strong> pertinent<br />

physico-chemical properties. This line starts from QM formal description <strong>of</strong> the systems,<br />

then specializes the approach by defining intermolecular potentials (two- or<br />

many-body), and then it uses such potentials to describe the system (we have paid more attention<br />

to systems at equilibrium, with a moderate extension to non-equilibrium problems).<br />

This is not the only research line conceivable and used, and, in addition, it is not sufficient<br />

to describe some processes, among them, those regarding the dispersed systems we<br />

have just considered.<br />

We dedicate here a limited space to these aspects <strong>of</strong> theoretical and computational description<br />

<strong>of</strong> liquids because this chapter specifically addresses interaction potentials and because<br />

other approaches will be used and described in other chapters <strong>of</strong> the <strong>Handbook</strong>.<br />

Several other approaches have the QM formulation more in the background, <strong>of</strong>ten never<br />

mentioned. Such models are <strong>of</strong> a more classical nature, with a larger phenomenological<br />

character. We quote as examples the models to describe light diffraction in disordered systems,<br />

the classical models for evaporation, condensation and dissolution, the transport <strong>of</strong><br />

the matter in the liquid. The number is fairly large, especially in passing to dynamical and

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