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Water and Solute Permeability of Plant Cuticles: Measurement and ...

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8.2 <strong>Solute</strong> Mobility in <strong>Cuticles</strong> 239<br />

available by an opening up or swelling <strong>of</strong> the polymer cutin once the low energy<br />

sorption sites <strong>of</strong> about 30kJ mol −1 had been saturated. With tomato fruit MX,<br />

the opposite effect was observed. Heats <strong>of</strong> sorption decreased initially until the<br />

internal concentration reached about −18kJ kg −1 . All sorption sites seemed to be<br />

equally accessible, but those providing higher heats <strong>of</strong> sorption were being saturated<br />

first. At higher internal 4-NP concentrations heats <strong>of</strong> sorption increased strongly,<br />

<strong>and</strong> this phenomenon can be explained by a cooperative effect between sorbate<br />

molecules inside the cuticle. After all sorption sites in cutin have been saturated,<br />

additional sorption occurs on the surface <strong>of</strong> 4-NP molecules already sorbed on<br />

the polymer. In other words, initially solute–matrix interactions dominate, while at<br />

high internal concentration sorbate–sorbate interactions become important <strong>and</strong> solid<br />

4-NP precipitates between the polymer chains, which are forced apart. The polymer<br />

swells.<br />

The partial molar entropy measured for transfer from aqueous solution to the<br />

cuticles has a negative sign (Fig. 8.2b). This loss <strong>of</strong> entropy can be attributed to<br />

reduced mobility <strong>of</strong> 4-NP molecules <strong>and</strong> increased degree or order on sorption<br />

on a solid substrate. The good correlation between enthalpy <strong>and</strong> entropy at all<br />

concentrations, with both species <strong>and</strong> for CM <strong>and</strong> MX, indicates that the same<br />

entropy–enthalpy relationship prevails for both species <strong>and</strong> for MX <strong>and</strong> CM. Sorption<br />

sites having a low enthalpy result in lower order <strong>of</strong> sorbed molecules <strong>and</strong> vice<br />

versa. Larger amounts <strong>of</strong> heat are evolved when solutes are sorbed at higher order<br />

<strong>and</strong> reduced mobility. Whenever solute–solute interactions dominate, multilayers <strong>of</strong><br />

sorbate molecules may arise between the polymer chains <strong>of</strong> cutin.<br />

It is tempting to extrapolate these data to the formation <strong>of</strong> embedded wax, that<br />

is, to the generation <strong>of</strong> wax plates in cutin. Enthalpies <strong>of</strong> transfer to cutin are<br />

very high when compared to the octanol water system, for which ∆HS between<br />

−5 <strong>and</strong> −8kJ mol −1 were measured for substituted resorcinol (1,3-benzenediol)<br />

monoethers (Sangster 1997). Sorption <strong>of</strong> 4-NP is driven by very high enthalpies, <strong>and</strong><br />

dipole–dipole interactions are important. It is unfortunate that we have no comparable<br />

data for fatty acids, alcohols esters or alkanes. With these lipophilic solutes, van<br />

der Waals forces are probably more important than dipole-dipole interactions. For<br />

these reasons, extrapolation <strong>of</strong> the above data to formation <strong>of</strong> intracuticular waxes<br />

should be looked at with extreme caution. These highly lipophilic compounds were<br />

not included in this study because <strong>of</strong> their extremely low water solubility. Mixtures<br />

<strong>of</strong> ethanol <strong>and</strong> water would have to be used to overcome this problem.<br />

8.2 <strong>Solute</strong> Mobility in <strong>Cuticles</strong><br />

We have seen that partition coefficients generally decrease with increasing temperature<br />

(Fig. 8.1). Permeance is the product <strong>of</strong> partition <strong>and</strong> diffusion coefficients<br />

(2.18), <strong>and</strong> the question concerning the effect <strong>of</strong> temperature on diffusion coefficients<br />

(D) arises. Diffusion is the consequence <strong>of</strong> Brownian motion <strong>of</strong> molecules,<br />

<strong>and</strong> rates <strong>of</strong> diffusion are proportional to the frequency <strong>of</strong> jumps <strong>and</strong> the distance

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