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

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Chapter 6<br />

Diffusion <strong>of</strong> Non-Electrolytes<br />

6.1 Sorption in Cuticular Membranes, Polymer Matrix, Cutin<br />

<strong>and</strong> Waxes<br />

Chemicals are characterised by their physicochemical properties such as molecular<br />

weight, volatility, ionisation constants, water solubility <strong>and</strong> solubility in lipids.<br />

Agrochemicals <strong>and</strong> environmental xenobiotics are <strong>of</strong>ten lipophilic, <strong>and</strong> these compounds<br />

are sorbed <strong>and</strong> accumulate in lipophilic compartments <strong>of</strong> the environment,<br />

such as the organic fraction in soil, the storage lipids <strong>of</strong> man, animals or plants.<br />

Rates <strong>of</strong> diffusion across cuticles <strong>and</strong> other membranes are proportional to the partition<br />

coefficient (2.17) <strong>of</strong> the compound, which is a measure for differential solubility<br />

in lipids <strong>and</strong> water (2.12). Thus, when analysing sorption in <strong>and</strong> penetration through<br />

cuticles, partition coefficients for the substances must be known or measured.<br />

6.1.1 Definition <strong>and</strong> Determination <strong>of</strong> Partition Coefficients<br />

The octanol/water partition coefficient (Kow) <strong>of</strong> a compound is most commonly<br />

used. It relates the equilibrium concentrations in n-octanol <strong>and</strong> water (6.1). Since<br />

concentration is the ratio <strong>of</strong> amount (M) over mass (m), this equation can be written<br />

in terms <strong>of</strong> ratios <strong>of</strong> amounts <strong>and</strong> masses. Molal concentrations (mol kg −1 ) are used<br />

for both phases, because they do not depend on temperature. These units cancel,<br />

<strong>and</strong> partition coefficients are dimensionless. By convention, concentration in lipid<br />

phases are in the numerator:<br />

Kow = Coctanol(mol kg −1 )<br />

Cwater(mol kg −1 ) =<br />

M octanol<br />

m octanol<br />

Mwater<br />

mwater<br />

= Moctanol<br />

Mwater<br />

× mwater<br />

. (6.1)<br />

moctanol<br />

Kow-values have been measured <strong>and</strong> tabulated for a large number <strong>of</strong> substances<br />

(Hansch <strong>and</strong> Leo 1979; Leo et al. 1971; Sangster 1997). A partition coefficient <strong>of</strong><br />

L. Schreiber <strong>and</strong> J. Schönherr, <strong>Water</strong> <strong>and</strong> <strong>Solute</strong> <strong>Permeability</strong> <strong>of</strong> <strong>Plant</strong> <strong>Cuticles</strong>.<br />

© Springer-Verlag Berlin Heidelberg 2009<br />

145

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