Journal of Experimental Botany, Vol. 57, No. 11, pp. 2515–2523, 2006 doi:10.1093/jxb/erj173 Advance Access publication 1 August, 2006 FOCUS PAPER Review of sorption and diffusion of lipophilic molecules in cuticular waxes and the effects of accelerators on solute mobilities Lukas Schreiber* Institute of Cellular and Molecular Botany (IZMB), University of Bonn, Kirschallee 1, D-53115 Bonn, Germany Received 18 November 2005; Accepted 27 February 2006 Abstract Many agrochemicals are applied to the leaf surfaces of crop plants. Systemic chemicals have to penetrate through the cuticle, which forms an effective transport barrier. The barrier properties of cuticles are mainly due to the cuticular waxes deposited as partially crystalline aggregates on the outer surfaces of leaves. Substances increasing the mobilities of agrochemicals in cuticular waxes are called accelerators and it is shown that they act as plasticizers when absorbed by cuticular waxes. They decrease the barrier properties of the waxes and thus increase the mobilities of the agrochemicals through them. In order to analyse the efficiency of different accelerators, the sorption and mobility of both agrochemicals and accelerators within cuticular waxes was measured. Such information was used to establish correlations between the internal concentrations of accelerators and their mobilityenhancing effects on agrochemicals in the cuticle. This, in turn, allowed the determination and comparison of the intrinsic effects of different accelerators and to rationalize the effect of accelerators on the cuticular permeability of agrochemicals. Results describing the sorption (partition coefficients) and mobility (diffusion coefficients) of lipophilic organic molecules in reconstituted cuticular waxes from different plant species, and the effect of two different classes of accelerators (alcohol ethoxylates and n-alkyl esters), on the mobility of organic molecules are presented and discussed. Key words: Accelerator, alcohol ethoxylate, diffusion coefficient, leaf surface, partition coefficient, plant cuticle, plasticizer, reconstituted cuticular wax. Introduction Cuticular waxes of plants represent a complex mixture of pentacyclic triterpenoids and linear long-chain aliphatic compounds with different chain lengths and different functions (Jenks and Ashworth, 1999). Pentacyclic triterpenoids can form the major fraction of cuticular waxes within certain plant families amounting to 60% or more, whereas cuticular waxes in other plant families are predominantly composed of linear aliphatic compounds with none or only traces of triterpenoids present. Cuticular waxes are synthesized in epidermal cells (Kunst and Samuels, 2003) and deposited within (intracuticular waxes) and on the surface (epicuticular waxes) of the cutin polymer membrane covering the outer epidermal cell walls of stems, leaves, and fruits. At room temperature, cuticular waxes form solid, partially crystalline aggregates (Reynhardt, 1997) with their melting points normally being higher than 90 8C (Sitte and Rennier, 1963). Thus, cuticular waxes help to seal the amorphous cutin polymer and they significantly contribute to increase cuticular barrier properties (Riederer and Schreiber, 1995). Extraction of cuticular waxes with organic solvents increases cuticular permeability by factors varying from 10 to 1000, which demonstrates the significance of cuticular waxes forming the transport-limiting barrier of the plant cuticle (Schönherr and Riederer, 1989). * E-mail: [email protected] Abbreviations: AE, alcohol ethoxylate; C12E8, octaethylene glycol monododecyl ether; C18AC, octadecanoic acid; C24AC, tetracosanoic acid; D, diffusion coefficient; ESR, electron spin resonance; Kww, wax/water partition coefficient; Kcw, cuticle/water partition coefficient; NMR, nuclear magnetic resonance; PCP, pentachlorophenol; PLS, phospholipid suspension. ª The Author [2006]. Published by Oxford University Press [on behalf of the Society for Experimental Biology]. All rights reserved. For Permissions, please e-mail: [email protected] 2516 Schreiber Whereas ionic polar compounds apparently penetrate the plant cuticle via aqueous polar pores (Schönherr, 2000, 2006; Schreiber, 2005), non-polar lipophilic compounds diffuse across leaf surfaces via the lipophilic domains in the cutin and wax (Buchholz and Schönherr, 2000; Buchholz, 2006). Since permeability of plant cuticles for lipophilic compounds is largely determined by cuticular waxes, the permeability of cuticular waxes has to be analysed in order to understand the barrier properties of leaf structures. This includes measurements of sorption into and diffusion by penetrating compounds in cuticular waxes (Schreiber and Schönherr, 1992, 1993). Furthermore, agrochemicals are usually applied in the presence of adjuvants (Kirkwood, 1999). They improve the efficacy of agrochemicals by increasing their solubility in the spray solution and by improving adhesion and wetting of leaf surfaces by the droplets. Furthermore, adjuvants have been shown to act as plasticizers of cuticular waxes and, as a consequence, the rates of cuticular penetration by non-polar lipophilic compounds were increased (Schreiber, 1995). Compounds with these plasticizing properties have been called accelerators (Schönherr et al., 2001). In order to understand the mode of action of accelerators on cuticular penetration, and to compare the activity of different accelerators, their solubilities as well as mobilities in cuticular wax need to be determined. The sorption and diffusion in cuticular wax of lipophilic non-electrolytes, as well as accelerators, will be presented and the effect of such accelerators relating to increased rates of cuticular penetration will be discussed. Sorption in reconstituted wax Sorption of lipophilic non-electrolytes has been measured using reconstituted cuticular wax (Schreiber and Schönherr, 1992; Kirsch et al., 1997). Concentrations of the compounds (masscompound per massmedium) in the wax and in the external donor solution (masscompound per masssolution) were measured (either by counting radioactivity in the case of labelled substances or by chemical analysis) and wax/ water partition coefficients (Kww) were calculated from equation 1. Kww = masscompound masswax masscompound masswater ð1Þ Wax/water partition coefficients are a measure of the lipophilicity of the compounds and indicate the degree of solubility of a compound in the lipophilic cuticular wax. Wax/water partition coefficients of a series of different non-electrolytes measured in reconstituted cuticular wax, isolated from a series of different species, varied between 3.5 and 3500 (Table 1). Variation among the different compounds was much larger than variation among the waxes isolated from different species. In similar approaches, cuticle/water partition coefficients (Kcw; Riederer and Schönherr, 1984) and octanol/water partition coefficients (Sangster, 1997) have been determined in the past. It was shown that Kcw was very similar numerically to Kow (Schönherr and Riederer, 1989). This was not true for Kww, since Kww was generally found to be significantly smaller than Kcw or Kow by factors between 2 and 10 (Fig. 1; Schreiber and Schönherr, 1992; Kirsch et al., 1997). This can be attributed to the fact that cuticular wax, forming solid and partially crystalline aggregates at room temperature, offers fewer sorption sites compared with the amorphous cutin polymer or solvents like octanol. Sorption of different accelerators (alcohol ethoxylates and n-alkyl esters) into cuticular wax of Hordeum vulgare and Stephanotis floribunda was also determined (Table 2; Simanova et al., 2005; Schreiber et al., 1996b; Burghardt et al., 1998). As will be shown later, this information is important in transport experiments, since it allows calculation of the amount of accelerator absorbed by the transportlimiting wax barrier in equilibrium with an external donor Table 1. Wax/water partition coefficients (Kww) of organic molecules in reconstituted cuticular wax from Hordeum vulgare, Prunus laurocerasus, Ginkgo biloba, and Juglans regia Kww H. vulgare Metribuzin (MET) 4-Nitrophenol (4-NP) Benzoic acid (BA) Atrazine (AT) Salicylic acid (SA) Triadimenol (TRI) 2,4-Dichlorophenoxyacetic acid (2,4-D) Tebuconazole (TB) Bitertanol (BIT) Pentachlorophenol (PCP) a From Burghardt et al. (1998). From Schreiber and Schönherr (1992). c From Kirsch et al. (1997). b a 3.5 30a 32.3b 45.7b 640a 1047b 3548b P. laurocerasus c 12.8 14.0c 21.1c 28.2c 46.2c 136.3c G. biloba J. regia 22.5c 47.2c 139.4c 21.8c 47.6c 144.3c Molecules in cuticular waxes and the effects of accelerators 2517 Table 2. Wax/water partition coefficients (Kww) of accelerators (alcohol ethoxylates and n-alkyl esters) in reconstituted cuticular wax from Hordeum vulgare and Stephanotis floribunda With n-alkyl esters, external donor solutions contained 10% 1,2-propanediol instead of pure water, in order to make the n-alkyl esters soluble in an aqueous solution. Kww H. vulgare Fig. 1. Correlation between wax/water partition coefficients (Kww) and cuticle/water partition coefficients (Kcw). Kww values for Prunus laurocerasus, Ginkgo biloba, and Juglans regia and for the compounds metribuzin, 4-nitrophenol, benzoic acid, atrazine, salicylic acid, and 2,4dichlorophenoxyacetic acid were taken from Table 1. Kcw values were taken from Kirsch et al. (1997). Coefficient of determination r2=0.99. solution. The Kww values in H. vulgare were, on average, 10 times smaller than in S. floribunda (Table 2). This can be explained by the fact that H. vulgare wax is a homogeneous and highly crystalline wax, with nearly 90% primary alcohols, offering significantly fewer sorption sites, which is not the case for S. floribunda, which was characterized by a much more heterogeneous wax composition (Simanova et al., 2005). Nevertheless, more detailed studies trying to relate measured partition coefficients with the chemical composition of cuticular waxes have not been carried out. Diffusion in reconstituted wax Mobility of lipophilic non-electrolytes in isolated and reconstituted cuticular wax has been measured using a similar approach. Either a radiolabelled probe was reconstituted together with the wax, or reconstituted wax was loaded with a radiolabelled probe from an external solution (Schreiber and Schönherr, 1993). Subsequently, the radiolabelled probes were desorbed from the wax samples and diffusion coefficients D (m2 s1) were calculated from desorption kinetics by plotting the relative amounts desorbed (Mt/M0) versus the square root of time t1/2 using equation 2 (Felder and Huvard, 1980): rffiffiffiffi Mt 4 D pffi = 3 3 t ð2Þ p M0 Dx Dx (m) represents the thickness of the wax layer. D can be calculated from the slopes of the linearized desorption kinetics, which are proportional to (4/Dx)(D/p)1/2 (Felder and Huvard, 1980). Diffusion coefficients have been measured for different lipophilic non-electrolytes (Table 3) and linear, long- Diethylene glycol monobutyl ether (C4E2) Triethylene glycol monohexyl ether (C6E3) Tetraethylene glycol mono-octyl ether (C8E4) Pentaethylene glycol monodecyl ether (C10E5) Octaethylene glycol monodecyl ether (C10E8) Diethylene glycol monododecyl ether (C12E2) Triethylene glycol monododecyl ether (C12E3) Tetraethylene glycol monododecyl ether (C12E4) Pentaethylene glycol monododecyl ether (C12E5) Hexaethylene glycol monododecyl ether (C12E6) Heptaethylene glycol monododecyl ether (C12E7) Octaethylene glycol monododecyl ether (C12E8) Heptaethylene glycol monotetradecyl ether (C14E7) Octaethylene glycol monotetradecyl ether (C14E8) Octaethylene glycol monohexadecyl ether (C16E8) Dimethyl suberate (DMSU) Diethyl suberate (DESU) Diethyl sebacate (DES) Dibutyl suberate (DBSU) Dibutyl sebacate (DBS) a S. floribunda 0.083 a 0.83 4.9a a 35.7 5.6b b 2000 21125c 1300b b 670 7909c 400b 4439c 237a 2626c 160b a 962c 104 1561a b 1200 12350a c 3.1 5.9c 31.2c 503c 1821c 15.5c 55.7c 447c 5319c 28590c a From Schreiber et al. (1996b). From Burghardt et al. (1998). c From Simanova et al. (2005). b chain, aliphatic molecules including one cyclic compound (Table 4) in a series of cuticular waxes from different species. Lipophilic molecules, representing typical pesticide molecules, had diffusion coefficients varying between 1018 and 1017 m2 s1 (Table 3). These are extraordinarily low values. Comparable compounds of similar size and similar physico-chemical properties have diffusion coefficients of about 1010 m2 s1 in solution (Cussler, 1984) and about 1012 m2 s1 in cell membranes (Stein, 1967). This is evidence that cuticular waxes forming the transportlimiting barrier of plant cuticles must be highly structured and partially crystalline on a molecular level, leading to these low diffusion coefficients. Diffusion coefficients of typical pesticide molecules were not different when wax was reconstituted together with the radiolabelled probe or 2518 Schreiber Table 3. Diffusion coefficients (D) of organic molecules and one accelerator molecule (octaethylene glycol monododecyl ether) in reconstituted cuticular waxes from Hordeum vulgare, Prunus laurocerasus, Ginkgo biloba and Juglans regia D31017 (m2 s1) H. vulgare Pentachlorophenol (PCP) Benzoic acid (BA) 4-Nitrophenol (4-NP) Salicylic acid (SA) 2,4-Dichlorophenoxyacetic acid (2,4-D) Atrazine (AT) Metribuzin (MET) Lindane (LI) Tebuconazole (TB) Triadimenol (TRI) Bitertanol (BIT) Octaethylene glycol monododecyl ether (C12E8) a 1.96 3.34a 2.4b 1.63a 1.2b 0.555a 0.5b 0.409a 0.151a 0.89c P. laurocerasus G. biloba J. regia 3.54d 3.23d 2.74d 1.63d 1.15d 0.91d 4.37d 3.21d 2.01d 5.59d 3.45d 2.22d a From Schreiber and Schönherr (1993). From Burghardt et al. (1998). c From Schreiber (1995). d From Kirsch et al. (1997). b Table 4. Diffusion coefficients (D) of linear, long-chain, aliphatic molecules and cholesterol in reconstituted cuticular wax from Hordeum vulgare, Fagus sylvatica, Picea abies and Vitis vinifera D31017 (m2 s1) H. vulgare F. sylvatica P. abies V. vinifera Hexadecane (C16AN) Octadecane (C18AN) Octacosane (C28AN) Dotriacontane (C32AN) 1-Hexadecanol (C16OL) Tetradecanoic acid (C14AC) Hexadecanoic acid (C16AC) Octadecanoic acid (C18AC) Octadeca-9-enoic acid (C18:1AC) Octadeca-9,12-dienoic acid (C18:2AC) Octadeca-9,12,15-trienoic acid (C18:3AC) Eicosa-5,8,11,14-tetraenoic acid (C20:4AC) Tetracosanoic acid (C24AC) Cholesterol (CHOL) 0.0000407a 1.51a 0.381a 0.109a 0.357a 0.791a 0.99a 0.00122a – 0.099b 0.022b 0.00080b 0.000019b 3.35b 1.15b 0.78b 2.77b 2.83b 3.7b 4.5b 0.016b 0.043b 0.021b 0.00031b 0.000035b 1.51b 0.57b 0.47b 0.84b 0.96b 1.32b 0.92b 0.021b 0.0003c a b c From Schreiber and Schönherr (1993). From Schreiber et al. (1996a). From Casado and Heredia (1999). after external loading of the wax (Schreiber and Schönherr, 1993). However, diffusion coefficients were significantly different between the two methods of loading the wax with the radiolabelled probe when using linear, long-chain, aliphatic molecules. Dotriacontane (Schreiber et al., 1997) and tetracosanoic acid (Schreiber, 1995) had significantly lower diffusion coefficients in H. vulgare wax when they were reconstituted directly with wax. This observation fits the model where cuticular waxes are viewed as a composite transport barrier system with amorphous and crystalline domains (Reynhardt and Riederer, 1991). Sorption and diffusion of non-wax molecules is supposed to take place in the amorphous wax phase. Linear, long-chain aliphatic molecules of C24–C34 chain length (typical crystalline wax molecules) and the cyclic compound cholesterol (as a model for triterpenoids) had the lowest diffusion coefficients (Table 4). This indicates that, although these molecules are ‘trapped’ within the crystalline wax phase, they are not completely immobile. When the logarithms of measured diffusion coefficients D (m2 s1) were plotted as a function of the molar volumes MV (mol cm3) of the respective molecules, linear relationships were obtained (Fig. 2). This negative exponential relationship between D and MV can be analysed applying the following model (Potts and Guy, 1992). D = D0 ebMV ð3Þ D0 (m2 s1) represent the diffusion coefficient of a molecule having a hypothetical MV of zero and b (mol cm3) represents the size selectivity characterizing the dependence of D on MV. Both parameters, D0 and b, in equation Molecules in cuticular waxes and the effects of accelerators 2519 Table 5. Size selectivities (b) and D0 in reconstituted cuticular wax from Prunus laurocerasus, Ginkgo biloba, Juglans regia, Fagus sylvatica, Picea abies, and Hordeum vulgare P. laurocerasus G. biloba J. regia F. sylvatica (acids) F. sylvatica (alkanes) P. abies (acids) P. abies (alkanes) H. vulgare (PLS) H. vulgare (C12E8) H. vulgare (C8E4) a b c Fig. 2. Correlation between diffusion coefficients (D) and molar volumes (MV). D values for Prunus laurocerasus, Ginkgo biloba, and Juglans regia and for the compounds metribuzin, 4-nitrophenol, benzoic acid, atrazine, salicylic acid, and 2,4-dichlorophenoxyacetic acid were taken from Table 3. MV values were calculated according to Abraham and McGowan (1987). Coefficient of determination r2=0.97. 3 have been related to the two different wax zones. It was argued that b should reflect the amorphous wax phase where diffusion takes place, whereas D0 was related to the crystalline wax phase forming an exclusion volume for diffusion (Schreiber et al., 1996a). A decrease in D0 reflects an increase in crystallinity of the wax, and a decrease of b indicates an increase in size selectivity. Both parameters have been measured in a series of different plant waxes (Schreiber et al., 1996a; Kirsch et al., 1997) and in isolated plant cuticles (Buchholz et al., 1998). Size selectivities measured in different wax samples varied between 0.016 and 0.037 (Table 5). In isolated cuticular membranes they ranged from 0.017 to 0.044 (Schönherr and Baur, 1994). This is good evidence that the amorphous phase in reconstituted wax and in the cutin polymer must have a similar molecular composition. Good linearities between D and MV can also be obtained when the logarithm of D is plotted versus the logarithm of MV (Schreiber and Schönherr, 1993). These doublelogarithmic plots are characterized by negative slopes varying between 2.9 (cyclic organic compounds) and 15.7 (linear aliphatic compounds). Based on these double-logarithmic plots, it was suggested (Fowler, 1999) that a modified form (equation 4) of the Stokes–Einstein equation be used to model the diffusion of organic molecules in cuticular wax: D= / kT 3 s 6pgr ð4Þ In addition to the terms D [diffusion coefficient (m2 s1)], k [Boltzmann constant (J mol1 K1)], T [absolute temperature (K)], g [viscosity (Pa s1)], and r [radius of the molecules (m)], known from the Stokes–Einstein equation b (mol1 cm3) D031016 (m2 s1) 0.017a 0.016a 0.019a 0.036b 0.037b 0.035b 0.036b 0.015c 0.0052c 0.0025c 1.62a 2.14a 1.49a 622b 53.9b 89.5b 6.68b 1.15c 1.41c 3.13c From Kirsch et al. (1997). From Schreiber et al. (1996a). From Burghardt et al. (1998). describing the diffusion of molecules in liquids, the ratio // s is added as a new term (Fowler, 1999). This ratio should account for the fact that diffusion is taking place in solid wax, instead of a liquid, and characterized as a tortuous path in a solid phase (Fowler, 1999). The term / is called voidage and it represents the free volume available for diffusion, whereas the term s represents the tortuosity of the diffusional path around wax crystallites. The great advantage of this model is the fact that the process of diffusion within wax could be reduced to simple physical parameters such as viscosity, tortuosity, and voidage. However, this model still awaits its validation for describing the diffusion of lipophilic molecules in reconstituted cuticular wax. Compared with approaches investigating the mobility of non-electrolytes in reconstituted wax, much less effort has been made to investigate the mobility of accelerators, probably due to the fact that most of them are not available as radiolabelled compounds. The only data available is the diffusion coefficient of 14C-labelled C12E8 (octaethylene glycol monododecyl ether) in reconstituted H. vulgare wax (Schreiber, 1995). The diffusion coefficient for C12E8 was 8.531018 m2 s1, which is similar to that of other nonelectrolytes (Table 3). However, when the molar volume of C12E8 is considered, the diffusion coefficient is far too high. Using the regression equation of Fig. 2 and a molar volume of 458 cm3 mol1 for C12E8, the diffusion coefficients should be 120-times lower than measured. This discrepancy shows that C12E8 acts as an accelerator for its own diffusion, as well as on the diffusion of other molecules, by ‘plasticizing’ the wax phase where diffusion takes place. Up to now only limited information has been available on the extent to which diffusion in reconstituted wax depends on the chemical composition of plant waxes. Some insight was obtained using an artificial wax mixture of pure alkanes with a defined mean chain and standard deviation (C28.3363.04), to which other wax molecules with functional groups, normally found as characteristic components of cuticular wax, were added in increasing amounts 2520 Schreiber (Kirsch, 1996). Radiolabelled 14C-labelled octadecanoic acid (C18AC) was used as probe. Addition of increasing amounts of a C28 alcohol or C28 acid to this mixture of alkanes led to a steep increase in the mobility of C18AC, whereas at higher concentrations D decreased again (Fig. 3). However, diffusion of C18AC was significantly decreased, when a C44-ester or the triterpenoid oleanoic acid, were added to the wax mixture (Fig. 3). A possible interpretation of these results could be the following. At low amounts added, the alcohol, and to a significantly larger degree the acid, disturbed the physical structure of the alkane wax, leading to an increase in D, whereas at higher amounts (40% and above) these compounds increased crystallinity, eventually forming separated crystalline phases as has been described for the formation of epicuticular wax crystallites in vitro (Jetter, 1993). The long chain C44 ester and the pentacyclic triterpenoid probably do not complement the alkane wax with a mean chain length of C28, and it is argued that they from a disparate wax phase from the very beginning, leading to an increase in overall crystallinity of the wax. However, further experimental data are needed to establish a convincing relationship between D and wax chemistry. Effects of accelerators on diffusion in reconstituted wax In the preceding section it has been shown that both sorption and diffusion of lipophilic non-electrolytes, as well as accelerators, can be measured in reconstituted cuticular wax. Analysing the effects of accelerators on the mobility of pesticides in cuticular wax has also been achieved, by Fig. 3. Effect (D+add/Dadd) of adding increasing amounts of pure compounds (octacosane (C28AN), octacosanol (C28OL), octacosanoic acid (C28AC), docosanoic acid docosyl ester (C44EST), and oleanoic acid (OleaAC) to a synthetic wax mixture [mixture composed of alkanes with a mean chain length of C2863 (standard deviation)] on the diffusion coefficient (Dadd) of 14C-labelled C18AC in that synthetic alkane wax. Values were calculated by dividing the measured diffusion coefficients (D+add) after the addition of the different compounds by the diffusion coefficients (Dadd) prior to addition. Data from Kirsch (1996). desorbing 14C-labelled compounds using solutions with the accelerators at well-defined concentrations in the desorption media. Desorption media containing inert phospholipid suspensions instead of the accelerators served as controls. Diffusion coefficients were measured in the presence and the absence of the accelerators and effects of the accelerators were calculated from equation 5: effect = Daccelerator Dcontrol ð5Þ In this type of experiment care had to be taken that the ratio between the amount of the external accelerators solution (5–25 cm3) and the sorption capacity of the reconstituted wax (104 cm3) is large, since accelerators are absorbed by the wax at the beginning of the experiment until equilibrium is reached. If the external reservoir is large, fairly small amounts of accelerators absorbed by the wax do not lead to a measurable decrease of the external concentration. Thus, concentrations of accelerators in wax can easily be calculated by multiplying the external concentrations by their respective partition coefficients. Using this approach experiments have been carried out with reconstituted wax of H. vulgare and S. floribunda. Accelerators are either homologous series of alcohol ethoxylates (Schreiber et al., 1996b; Burghardt et al., 1998) or n-alkyl esters (Simanova et al., 2005). The largest data set exists with H. vulgare wax and alcohol ethoxylates. In a very detailed approach, fundamental rules of accelerator/wax interaction have been worked out (Schreiber, 1995), using H. vulgare wax, octaethylene glycol monododecyl ether (C12E8) as accelerator molecule, pentachlorophenol (PCP) as a lipophilic organic molecule, and tetracosanoic acid (C24AC) as a linear long-chain aliphatic molecule. Classic dose–response curves were obtained, as the effects of the accelerator on the diffusion of PCP and C24AC increased linearly with the logarithm of C12E8 concentrations in the wax. At the same internal concentrations a much larger effect was obtained for C24AC (40fold increase of D) which has a much lower initial diffusion coefficient (1.3231020 m2 s1) compared with PCP (4fold increase of D) with a much higher initial diffusion coefficients (1.8331018 m2 s1). Most interestingly, the effects of the accelerators on D were completely reversible within 10 min of replacing the desorption medium containing C12E8 by the inert PLS solution. This led to the conclusion that the enhancing effect of accelerators in the cuticular wax barrier was due to a plasticizing effect of the amorphous fraction of the wax leading to an increase of D, whereas solubilization of the crystalline domains did not occur. In a further set of experiments, a homologous series of AEs ranging from C4E2 through C6E3, C8E4, C10E5, C12E6, C14E7 to C16E8 (for full names see Table 2) was investigated (Schreiber et al., 1996b). The average effects of all AEs tested were again about 10-fold larger with C24AC Molecules in cuticular waxes and the effects of accelerators compared with PCP. When the effects on PCP or C24AC were plotted as a function of the different internal concentrations of the respective accelerators in the wax, a linear relationship was obtained (Fig. 4). This showed that there were no differences in intrinsic effects among the different AEs tested. The efficiency of increasing D by each single AE on either PCP or C24AC was solely a function of its internal concentration and not of the specific chemical composition of the respective accelerator. It can be concluded from this that the increase in D is caused by a non-specific plasticizing effect by the accelerator molecules on the amorphous wax phase through which diffusion takes place. These findings were confirmed in a further set of experiments analysing either the effect of two selected AEs (C8E4 and C12E8) on the diffusion of six pesticide molecules (salicylic acid, 2,4-D, metribuzin, triadimenol, tebuconazole, and bitertanol) or the effect of 15 AEs (C4E2 through C6E3, C8E4, C10E5, C12E6, C14E7 to C16E8) on the diffusion of only bitertanol (Burghardt et al., 1998). A linear relationship was again obtained when the effects of the AEs on the diffusion of bitertanol were related to the internal concentrations of the accelerators. Furthermore, those effects were again larger with molecules having lower initial Ds. Analysing the effect of surfactants on D of 14Clabelled organic molecules, by applying equation 3, it became evident that the size selectivity b was significantly decreased in the presence of the accelerators, whereas D0 Fig. 4. Correlation between effects (D+CxEy/DCxEy) on the diffusion coefficient (D) of pentachlorophenol (PCP) in reconstituted cuticular wax of Hordeum vulgare and the internal concentrations of the alcohol ethoxylates [diethylene glycol monobutyl ether (C4E2), triethylene glycol monohexyl ether (C6E3), tetraethylene glycol monooctyl ether (C8E4), pentaethylene glycol monodecyl ether (C10E5), hexaethylene glycol monododecyl ether (C12E6), octaethylene glycol monododecyl ether (C12E8), heptaethylene glycol monotetradecyl ether (C14E7), and octaethylene glycol monohexadecyl ether (C16E8)]. Effects were calculated by dividing PCP diffusion coefficients measured in the presence of the acoholethoxylates (D+CxEy) by PCP diffusion coefficients measured without alcoholethoxylates (DCxEy). Data were taken from Schreiber et al. (1996b). Coefficient of determination r2=0.92. 2521 was not significantly changed (Table 5). This again confirms the conclusion already drawn previously that accelerators have a plasticizing effect on the amorphous wax phase, but they do not interact significantly with the crystalline wax phase. Spectroscopic techniques such as ESR (electron spin resonance) and NMR (nuclear magnetic resonance) spectroscopy have been used to analyse the effect of accelerators on reconstituted cuticular wax at the molecular level. Mobility of octadecanoic acid (C18AC), either labelled for ESR (5-doxyl stearic acid) or 2H- NMR (perdeuterated octadecanoic acid) experiments, was monitored in the absence and the presence of different AEs within certain temperature ranges between 10 8C and 60 8C (Schreiber et al., 1996b, 1997). These spectroscopic experiments showed convincingly (both ESR and NMR) that the molecular environment of the ESR-probe as well as the NMR-probe in the wax significantly increased in fluidity in the presence of AEs, compared with controls without AEs. A similar increase in fluidity in control measurements without AEs could only be obtained when temperature was increased by about 20–30 8C. This again leads to the conclusion that the accelerators had a nonspecific plasticizing effect on the molecular environment of the amorphous wax phase. This effect is similar to the plasticizing effect obtained by increasing temperature. Further experiments have been conducted comparing the effect of two chemically very different classes of accelerators, AEs and n-alkyl esters, on the mobility of 2,4dibutyric acid (2,-DB) in reconstituted wax of H. vulgare and S. floribunda (Simanova et al., 2005). Effects on the diffusion of 2,4-DB within each class of accelerators again increased linearly with increases in the internal concentration of the accelerators (Fig. 5). In H. vulgare these effects were obtained at about a 10-fold lower internal accelerator concentration compared to S. floribunda wax. This is a function of the different sorption capacities of the two different waxes and it shows that waxes from different plants can behave very differently. Furthermore, at the same internal concentrations of accelerators, n-alkyl esters were 1–2 orders of magnitude more effective in increasing D compared with AEs. Thus, different chemical classes of accelerators can have very different effects, which shows that the overall effects are a function of the specific chemical composition of that class of accelerators, and not only of their internal concentration. Conclusions: advantages and limitations Working with isolated and subsequently reconstituted cuticular wax has significantly contributed to our understanding on a molecular level of the interaction of accelerators within the transport-limiting barrier of plant cuticles. Various hypotheses have been tested on accelerator/wax 2522 Schreiber 8 effect (D+acc/D-acc) 6 n-alkyl esters CxEy 4 2 0 0 20 40 60 80 100 120 140 concentration of accelerators in wax [g 160 180 kg-1] Fig. 5. Correlation between effects (D+acc/Dacc) on the diffusion coefficient (D) of 2,4-dichlorobutyric acid (2,4-DB) in reconstituted cuticular wax of Stephanotis floribunda and the internal concentrations of n-alkyl esters [dimethyl suberate (DMSU), diethyl suberate (DESU), diethyl sebacate (DES), dibutyl suberate (DBSU), and dibutyl sebacate (DBS)] and alcohol ethoxylates [diethylene glycol monododecyl ether (C12E2), tetraethylene glycol monododecyl ether (C12E4), pentaethylene glycol monododecyl ether (C12E5), hexaethylene glycol monododecyl ether (C12E6), and octaethylene glycol monododecyl ether (C12E8)]. Effects were calculated dividing 2,4-DB diffusion coefficients measured in the presence of the accelerators (D+acc) by diffusion coefficients measured without accelerators (Dacc). Data were taken from Simanova et al. (2005). Coefficient of determination r2=0.97 for n-alkyl esters and r2=0.96 for alcohol ethoxylates. interactions (e.g. solubilization versus plasticization) and it has helped to establish fundamental principles of cuticular transport at a molecular level. Although this system using reconstituted wax is artificial, it has shown successfully for different species that mobilities measured in reconstituted wax were highly correlated with the transport properties of isolated cuticles and even intact leaves (Schreiber and Riederer, 1996; Kirsch et al., 1997). This was demonstrated for water (cuticular transpiration) as well as for lipophilic organic molecules. Furthermore, experiments measuring the effects of accelerators on substances penetrating isolated plant cuticles (Schönherr, 1993a, b) in general fitted very well with results obtained using reconstituted cuticular wax (Schreiber et al., 1996b; Burghardt et al., 1998). Thus, there is obviously a spontaneous arrangement of cuticular waxes at a molecular level during reconstitution, leading to a molecular arrangement similar to that occurring in intact cuticles or intact leaf surfaces. One major limitation of this experimental set-up using reconstituted cuticular wax is the fact that it only represents the lipophilic transport path across the cuticle and, consequently, it only allows the measurement of the mobility of lipophilic non-electrolytes. The polar path of diffusion (Schönherr, 2000, 2006), allowing polar and even charged molecules to diffuse through polar aqueous pores in cuticles, cannot be analysed by this technique. There are still some experiments, which have not yet been carried out using this experimental set-up. Mobilities of accelerators themselves have rarely been analysed, although this information would be of significance. It can be postulated that the maximum effect of accelerators on a specific pesticide compound can only be obtained when the mobilities of both are of a similar magnitude. This information could lead to more specific formulations, by selecting accelerators and pesticides with comparable mobilities. Furthermore, experiments are missing on the effects of temperature on D and K in reconstituted wax. Finally, the major, and probably most difficult task is the combination of: (i) transport (measurement of D) and sorption (measurement of K) experiments; (ii) approaches measuring the effects of accelerators on D; and (iii) the analysis of the chemical composition of different plant waxes, to find the relationship between wax composition and transport properties of reconstituted cuticular wax and the effects of accelerators. Ideally, such a relationship, whenever elucidated in future, could help to predict accelerator effects on pesticide mobility from wax composition. 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