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98 • smithsonian contributions to museum conservation<br />
The cavitation energy, which is a physical property <strong>of</strong> liquids,<br />
has <strong>of</strong>ten been ignored. Looking at <strong>the</strong> solubilization in energetic<br />
terms, <strong>the</strong> following equation must be taken <strong>into</strong> account<br />
(Reichardt, 1990):<br />
DG m<br />
= DH m<br />
– TDS m<br />
FIGURE 1. Model <strong>of</strong> a segment <strong>of</strong> an alkyd resin showing <strong>the</strong><br />
phthalic acid polyester backbone and <strong>the</strong> fatty acid branches.<br />
vary significantly. Solvation describes <strong>the</strong> intermolecular forces<br />
between solvent and solute, whereas selective solvation arises<br />
from a greater affinity <strong>of</strong> one component <strong>of</strong> <strong>the</strong> solvent mixture<br />
to <strong>the</strong> macromolecules or o<strong>the</strong>r components <strong>of</strong> <strong>the</strong> paint film<br />
(Marcus, 2002). Of particular interest in a practical context is<br />
cosolvation, where each solvent exhibits a selective affinity to<br />
one type <strong>of</strong> structural element. This may lead to <strong>the</strong> increased<br />
solubility <strong>of</strong> a bistructural material such as <strong>the</strong> alkyd paints,<br />
which contain a phthalic acid polyester backbone and fatty acid<br />
substituents (Figure 1).<br />
In a dissolution process <strong>the</strong> free energy <strong>of</strong> mixing DG m<br />
must<br />
be lowered upon solubilization. The enthalpy <strong>of</strong> mixing DH m<br />
,<br />
which corresponds to <strong>the</strong> commonly known rule <strong>of</strong> “like dissolves<br />
like,” requires similar intermolecular solvent- solvent and<br />
solvent- solute forces for successful action and is mostly positive<br />
and small (Reichardt, 1990). Therefore, <strong>the</strong> entropy <strong>of</strong> mixing<br />
DS m<br />
at a given temperature T is <strong>of</strong> relevance. It can be calculated<br />
using <strong>the</strong> Flory- Huggins model <strong>of</strong> <strong>the</strong>rmodynamics <strong>of</strong> polymer<br />
solubility (Flory, 1942; Huggins, 1942). The change in entropy<br />
is largely dependent on <strong>the</strong> strength <strong>of</strong> <strong>the</strong> intermolecular interaction<br />
within <strong>the</strong> liquid because <strong>the</strong> liquid cohesion has to be<br />
overcome to form a cavity in <strong>the</strong> liquid to incorporate <strong>the</strong> solute<br />
(Chipperfield, 1999). Cavity formation can be described by <strong>the</strong><br />
cohesive energy <strong>of</strong> <strong>the</strong> liquid and can be qualified by <strong>the</strong> Hildebrand<br />
parameter d H2<br />
, a parameter that controls <strong>the</strong> entropy <strong>of</strong><br />
<strong>the</strong> dissolution process. This process <strong>of</strong> dissolution comprising<br />
both endo- and exo<strong>the</strong>rmic steps is schematized in (Figure 2).<br />
The exo<strong>the</strong>rmic step, an enthalpic process, can be described by<br />
<strong>the</strong> intermolecular interaction between solute and solvent. These<br />
can be dispersive, aprotic, or protic interactions.<br />
Thus, <strong>the</strong> weaker <strong>the</strong> cohesive forces within a liquid are,<br />
<strong>the</strong> better <strong>the</strong> material solubilization is. The so- called cavitation<br />
energy is <strong>of</strong> direct relevance since <strong>the</strong> energy <strong>of</strong> cohesion is constant<br />
in pure solvents but varies strongly in solvent mixtures<br />
(Marcus, 2002).<br />
FIGURE 2. Schematic representation <strong>of</strong> <strong>the</strong> two- step dissolution process. The first endoenergetic step represents <strong>the</strong> cavity formation. The<br />
exoenergetic step corresponds to <strong>the</strong> intermolecular interactions between solute and solvent, i.e., SSP, dispersive; SB, aprotic; SA, protic<br />
interactions.