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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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8.9 Liquid surfaces 495<br />

The potentials in use for crystals and those used for covalently bound systems are cognate<br />

with those used for liquids, so it is not compulsory to open here a digression on this<br />

theme. We have already quoted the MM methods generally used for solids <strong>of</strong> molecular<br />

type; for more general classes <strong>of</strong> compounds, a variety <strong>of</strong> ‘atom-atom’ potentials have been<br />

given. 126 The difference with respect to the bulk is mainly due, again, to different ways <strong>of</strong><br />

handling the opportune boundary conditions. It is evident that the techniques used to describe<br />

a water-protein interface greatly differ, in microscopic detail, time scale, etc., to those<br />

used to describe the surfaces between a liquid and a regular crystal surface.<br />

For many problems, the solid surface in contact with the liquid may be held fixed: this<br />

characteristic has been amply exploited in simulation studies. We quote here two problems<br />

for which this simplification is not possible: problems in which the structure <strong>of</strong> the solid (or<br />

solid-like) component is subjected to conformational changes, and problems in which a progressive<br />

expansion (or reduction) <strong>of</strong> the solid phase plays the main role.<br />

To the first case belong problems addressing the structure <strong>of</strong> the interfacial zone in the<br />

case <strong>of</strong> biopolymers (e.g., proteins) or similar covalently bound massive molecules, and ordered<br />

assemblies <strong>of</strong> molecules held together by strong non-covalent interactions (as membranes<br />

or similar structures). In both cases, the liquid and the solid component <strong>of</strong> the<br />

systems are generally treated on the same footing: interaction force fields are used for both<br />

components, introducing, where appropriate, different time scales in the molecular dynamics<br />

calculations.<br />

The second case mainly regards the problem <strong>of</strong> crystal growth or dissolution in a liquid<br />

system (pure liquid or solution). A mobile surface <strong>of</strong> this type is not easy to treat with<br />

standard methods: it is better to pass to more specialistic approaches, for which there is the<br />

need <strong>of</strong> introducing a different mathematical treatment <strong>of</strong> the (mobile) boundary surface<br />

conditions. This is a subject that we cannot properly treat here.<br />

8.9.2 SYSTEMS WITH A LARGE SURFACE/BULK RATIO<br />

To complete this quick presentation <strong>of</strong> the three main types <strong>of</strong> liquid surfaces, it is convenient<br />

to consider systems in which the interfacial portion <strong>of</strong> the liquid is noticeably larger<br />

than in normal liquids.<br />

Some among them are denoted in literature as constrained liquids, others as dispersed<br />

systems. This classification is not universal, and it does not take in account other cases.<br />

A typical example <strong>of</strong> constrained liquid is that present in pores or capillaries. The surface<br />

is <strong>of</strong> liquid/solid type, and the same remarks about interaction potentials and computational<br />

methods we have already <strong>of</strong>fered may be applied here. More attention must be paid in<br />

computations <strong>of</strong> interactions among separate portions <strong>of</strong> the liquid interface. In the slit pore<br />

case (i.e., in a system composed <strong>of</strong> two parallel plane solid surfaces, with a thin amount <strong>of</strong><br />

liquid between them), there may be an interference between the two distinct surfaces, more<br />

evident when the thickness <strong>of</strong> the liquid is small, or when there is an electrical potential between<br />

the two faces. The slit pore model is extensively used to describe capillarity problems:<br />

in the most usual cylindrical capillary types there is a radial interaction similar in<br />

some sense to the interaction with a single solid surface.<br />

Pores <strong>of</strong> different shape are present in many solid materials: zeolites and other<br />

aluminosilicates are outstanding examples. When the pore is very small there is no more<br />

distinction between superficial and bulk molecules <strong>of</strong> the liquid. Nature (and human ingenuity)<br />

<strong>of</strong>fers examples over the complete range <strong>of</strong> situations. For all the systems we have<br />

here introduced (quite important in principle and for practical reasons), there is no need <strong>of</strong>

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