Advances in Colloid and Interface Science 104 (2003) 53–74 Polyelectrolytes as adhesion modifiers Per M. Claessona,b,*, Andra Dedinaitea,b, Orlando J. Rojasa,b,c a Department of Chemistry, Surface Chemistry, Royal Institute of Technology, ¨ 51, SE-100 44 Stockholm, Sweden Drottning Kristinas vag b Institute for Surface Chemistry, Box 5607, SE-114 86 Stockholm, Sweden c ´ Quımica, ´ ´ Escuela de Ingenierıa Lab. FIRP, Universidad de Los Andes, Merida 5101, Venezuela Abstract Adsorbed layers of polyelectrolytes have been studied with atomic force microscopy (AFM) and the interferometric surface force apparatus (SFA). Particular emphasis was put on determining the effect of the polyelectrolyte charge density on surface topography, and the effect of the polyelectrolyte coating on the adhesive properties. The AFM was employed to image individual polymer chains at low adsorption densities and to characterize the layer topography and coverage at higher adsorption densities. The adhesive properties between two polyelectrolyte-coated surfaces in air were determined as a function of the number of contacts made at any given spot. The data provide evidence for formation of electrostatic bridges, particularly when highly charged polyelectrolytes are used. Further, material transport between the surfaces is observed when the polyelectrolyte is either highly charged or have a very low charge density. For intermediate charge densities we could not observe any indication of material transfer. The adhesion between one polyelectrolyte-coated surface and one bare surface was initially higher than that between two polyelectrolyte-coated surfaces. However, due to material transfer between the two surfaces the adhesion decreased significantly with the number of times that the surfaces were driven into contact. For the polyelectrolytes of the lowest charge density the results suggest that entanglement effects contribute to the adhesive interaction. The modification of the adhesion by polyelectrolytes in practical systems such as in the case of dry-strength additives to improve paper resistance is also considered. 䊚 2003 Elsevier Science B.V. All rights reserved. Keywords: Adhesion; Polyelectrolytes; AFM imaging; Surface forces; Dry-strength additives; Paper strength *Corresponding author. Tel.: q46-8790-9972; fax: q46-8208-998. E-mail address: [email protected] (P.M. Claesson). 0001-8686/03/$ - see front matter 䊚 2003 Elsevier Science B.V. All rights reserved. doi:10.1016/S0001-8686(03)00036-8 54 P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 1. Introduction Polyelectrolytes are commonly used as additives to control colloidal stability and adhesive properties of surfaces. One classic example of the latter is the use of cationic polyelectrolytes as retention aids and as dry and wet strength additives in paper making. For example, the pretreatment of clay particles with cationic poly(ethylene imine) increases the clay deposition on pulp fibers at pH)4 w1x. This is rationalized in terms of attractive electrostatic interactions. The dry strength of paper is often increased by addition of cationic polyelectrolytes such as cationic starch to the fiber furnish, which is subsequently dried. The cationic polymer adsorbs to the negatively charged fibers and mediates an increased fiber–fiber bond w2x. It has been reported that the dry strength of the paper increases with decreasing charge density of the polymer w2x, presumably due to increased polymer–polymer interpenetration and due to increased viscoelastic losses that occur during the rupture of the paper sheet under strain. In recent years surface measurements have been used to investigate the interactions between polyelectrolyte-coated surfaces in aqueous solutions w3–6x. From such studies much have been learned about how the polyelectrolyte charge density w7,8x, ionic strength w9–11x, substrate characteristics w12–14x and order of addition of polyelectrolytes and other components w15,16x influence the adsorbed layer structure and the resulting surface forces. The shear forces between polyelectrolyte-coated surfaces have also been quantified w17x. Conversely, very little fundamental work has been done on the adhesion between polyelectrolyte-coated surfaces in air. The theory of adhesion is bounded to many confusions usually related to the process of bond-forming and bond-breaking which have a very different nature w18x. Pioneering work by Johnson et al. w19x and Derjaguin et al. established some basis for understanding the influence of molecular forces on adhesion between solid bodies, especially for the case of an elastic particle and a rigid substrate w20–24x. The effect of contact deformations on the adhesion of particles has also been considered w25x. Nevertheless, dissipation effects and rate-dependent adhesion has not been discussed to a large extent. Note, however, the work by Plunkett et al. w26x. The case of adhesion between solid bodies with adsorbed layers of surfactant and polymers is even more difficult to characterize and understand. Most of the work aims to solve practical problems in biological and pharmaceutical systems wsee for example, w27,28x or for instance, in mineral processing and cellulosic (papermaking) systemsx. In many cases the subject has been viewed considering detachment of particles under different flow conditions w29,30x. Interaction forces as measured by the surface force apparatus and the atomic force microscope have been used to investigate adhesion phenomena between surfactant or polymer layers adsorbed on solid surfaces. An interesting fact is that adhesion in air between two monolayer-coated surfaces depends on atmospheric conditions such as the relative humidity or the presence of organic vapors w31x. It is worth noting that Ruths and Granick have described detailed work on the rate- P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 55 Fig. 1. Molecular structure of the monomer AM (left) and MAPTAC (right). dependent adhesion between surfaces coated with polymer and surfactant layers in air w32,33x. The purpose of the present study is to investigate the effect of thin polyelectrolyte layers on the adhesion force between two polyelectrolyte-coated surfaces and between one polyelectrolyte-coated surface and one bare surface. We are particularly interested in the effect of the polyelectrolyte charge density. Atomic force microscopy has been employed to characterize the preadsorbed layers and the interferometric surface force apparatus has been utilized for the adhesion force measurements. 2. Materials and methods The polyelectrolytes used in this investigation were random copolymers of uncharged acrylamide (AM) and positively charged w3-(2-methylpropionamido)propylxtrimethylammonium chloride (MAPTAC) (see Fig. 1). By balancing the ratio AMyMAPTAC in the (free radical) copolymerization process, macromolecules with different charge densities (or percentage molar ratio of cationic monomers) were synthesized and kindly provided by the Laboratoire de Physico-Chimie Macromoleculaire (Paris). In Table 1 a list of the investigated polyelectrolytes along with their charge density (or cationicity, t) and molecular weight is provided. For convenience, the polyelectrolytes are referred to as ‘AM-MAPTAC-X’ where X is a number that indicates the percentage of charged segments. 2.1. Substrate preparation Muscovite mica from Reliance Co. (NY) was used as substrate. Before any experiment, pieces of mica were cleaved several times on both sides in a laminar 56 P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 Table 1 Charge density (t) and molecular weight of the investigated polyelectrolytes (data provided by Laboratoire de Physico-Chimie Macromoleculaire, Universite´ Pierre et Marie Curie, Paris) Polyelectrolyte AM-MAPTAC-1 AM-MAPTAC-10 AM-MAPTAC-30 AM-MAPTAC-100 t (%) Theoretical Elemental analysis Potentiometry NMR 1 10 30 100 0.5 10 31 99 1 9 31 95 – 8.9–9.5 24.2–25.6 – MW (molyg) 900 000 1 000 000 780 000 480 000 flow cabinet until an adequate thickness was obtained. All the employed tools were previously cleaned, and protective clothing and gloves were worn to minimize contamination of the high-energy mica surfaces. Adsorption of the studied copolymers of AM-MAPTAC onto oppositely charged mica planar surfaces was allowed in aqueous solutions at pH 5 at 20 8C. In a typical experiment an aqueous solution of the polymer (at 0.1 or 20 ppm concentration) was freshly prepared by dilution with pure water of approximately 700 ppm polyelectrolyte stock solution. Freshly cleaved mica pieces (5=2 cm) were then immersed in the solution (contained in a 25-ml glass beaker) for approximately 6 h during which equilibrium adsorption is reached. At the end of this period, the substrate was withdrawn from the polymer solution and immersed in a large vessel filled with pure water in order to remove any non-adsorbed polymer. Previous studies have demonstrated that the polyelectrolytes adsorb strongly to most oppositely charged surfaces (e.g. silica, mica, gold) and that hardly any desorption takes place upon immersion of the polyelectrolyte-coated substrate in pure water w8,14,34,35x. To reduce the risk of Langmuir–Blodgett deposition at the three-phase line, the respective liquid surface was aspirated (using a Pasteur pipette connected to a water-jet pump) prior to any substrate transfer between the air and the liquid phases. Finally, the substrate was placed vertically inside a glass hood in a laminar flow cabinet and left to dry overnight. The water used in all experiments was obtained by using a Milli-Q Plus 185 unit. 2.2. Atomic force microscopy Imaging of adsorbed polymer on mica was accomplished using a Nanoscope III MultiMode娃 scanning probe microscope (Digital Instruments, Santa Barbara, CA, USA). The tapping mode imaging technique was used to study the sample’s topography by probing the surface with an oscillating tip. In this mode a piezo stack excites a cantilever vertically causing the tip to oscillate near its resonant frequency w36x. Close to the sample surface the tip tends to be deflected due to its interaction with the surface material. However, the amplitude of the oscillation is kept constant by a feedback loop that adjusts the vertical position of the sample (using a piezoelectric tube on which the sample is mounted). The vertical position P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 57 of the scanner (z) at each (x,y) location is thus used to reveal the topographic image of the sample surface. The probe used in the experiments consisted of 125 mm length, single-beam cantilever and a tip (5–10 nm nominal radius of curvature) as an integrated assembly of single crystal silicon produced by etching techniques (TappinngMode etched silicon probe model TESP). The spring constant and resonant frequency are reported by the manufacturer to be 20–100 Nym and 290–346 kHz, respectively. Before imaging, the substrate was cut and gently pressed onto a sticky tab on a 15-mm-diameter metal disk that was then attached to a magnetic sample holder on the piezoelectric scanner (Model AS-12V, ‘E’ vertical MultiMode SPM scanner). The polyelectrolyte-coated surfaces were imaged in dry air since the use of ambient conditions may introduce a layer of adsorbed water molecules on the sample surface that gives rise to extra capillary forces between the tip and the sample (which may interfere with the AFM experiment) w37,38x. In order to achieve controlled relative humidity and temperature, nitrogen from a humidity generator (Model RH-100, VTI Corporation) was flowed continuously through the instrument head (where the sample and probe are enclosed). The temperature and relative humidity were set in all cases at 20 8C and approximately 0%, respectively. 2.3. Surface force apparatus, SFA A surface force apparatus, Mark II model w39x, was used for the measurement of adhesion forces. The mica substrate surfaces were glued onto optically polished half-cylindrical silica discs using Epon 1004. The surfaces were mounted in the measuring chamber in a crossed cylinder configuration and the adhesion force and the contact position were determined. The measured force in crossed-cylinder geometry is, according to the Derjaguin approximation w40x, equivalent to the force between a sphere (with the same radius as the geometric mean of the cylinder radii) and a flat surface, provided that the radius of the surfaces (f2 cm in our set-up) is much larger than the range of the surface forces. This condition is fulfilled in our set-up. The relative humidity in the measuring chamber was controlled to close to zero by placing a beaker with P2O5 within the sealed chamber. Next, the surfaces were removed from the measuring chamber and immersed in a beaker containing an aqueous 20 mgyml polyelectrolyte solution and no added extra salt. The polyelectrolyte was allowed to adsorb for 1 h before the surfaces were transferred into a beaker of water and then immediately removed and dried with a gentle stream of dry nitrogen gas. The samples were remounted in the measuring cell and allowed to equilibrate with the P2O5-dried atmosphere for 30 min prior to determination of the adhesion force. To avoid excessive shearing a relatively stiff double cantilever spring was employed. The spring constant was approximately 7500 Nym, and accurately determined after each experiment. The surfaces were separated slowly and the negative load was increased step-wise until the surfaces jumped apart. Thus, unlike Ruths and Granick w32x in their work on surfactant and polymer coated 58 P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 surfaces, we did not attempt to study the effect of the rate of separation on the adhesion force. The surface separation and the shape of the surfaces were determined using white light interferometry. White light is directed perpendicularly from below towards the surface, and multiple-reflected between the silvered backsides of the mica surfaces. Only wavelengths that interfere constructively will be able to exit from the optical cavity. Fringes of equal chromatic order, FECO, are generated and analyzed in a spectrometer. From the shape and position of the FECO the surface separation and the shape of the surfaces can be determined. 3. Results and discussion 3.1. AFM-images Tapping mode AFM images in air of adsorbed copolymers of AM and MAPTAC on mica from solutions with polymer concentration of 0.1 ppm are shown in Fig. 2. Typical height profiles for the cases of polyelectrolyte charge densities of 1 and 100% are also illustrated in Fig. 3. The low polymer concentration used in these experiments was chosen so as to avoid surface saturation and allow the resolution of ‘individual’ adsorbed polymer chains. From large scan images (not shown) it was noticed that the AM-MAPTAC-100 polymer adsorbs uniformly onto the mica surface. However, as the polyelectrolyte charge density is reduced the number density of adsorbed molecules increased and some ‘aggregates’ (or ‘patches’) of polymer molecules are formed (see Fig. 2). The increase in the adsorbed amount for polymers of lower cationicity is explained by the fact that in such cases, more polymer units are needed to compensate the surface charge. This observation is corroborated by XPS quantitative measurements on similar systems w8x. It was observed that as the polyelectrolyte charge density was reduced it became more difficult to image the adsorbed polymer. We suggest that this is due to the fact that high charge-density polyelectrolytes are more strongly bound to the oppositely charged surface than the low-charge density ones. The section profiles shown in Fig. 3 indicate an apparent chain thickness of approximately 0.2–0.7 nm in agreement with a very flat adsorbed layer structure. Furthermore, it is noticed that the AM-MAPTAC-1 copolymer has a smaller ‘thickness’ (approx. 0.2 nm) compared to that of AM-MAPTAC-100 (approx. 0.5– 0.7 nm). This observation is consistent with a ‘bulkier’ AM-MAPTAC-100 as anticipated from the molecular structure of this polymer. The reported values for the polymer thickness can, however, only be taken as approximate since under the present conditions molecular resolution is limited by tip broadening, and this effect also precludes the determination of the width of the adsorbed polymer chain. Fig. 4 shows AFM height and phase images for AM-MAPTAC-100 adsorbed on mica and scanned over an area of 400=400 nm2 in size. This figure provides some insight of the polymer conformation and metrics upon adsorption. From the molecular weight of AM-MAPTAC-100 a large end-to-end distance was expected, but only some fragments of the polymer chains are often seen. Possible explanations P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 59 Fig. 2. Tapping mode image (0% relative humidity) of adsorbed polyelectrolytes on mica after equilibrium adsorption in 0.1 ppm aqueous polymer solution (scan range 1=1 mm): (a) AM-MAPTAC-1; (b) AM-MAPTAC-10; (c) AM-MAPTAC-30; and (d) AM-MAPTAC-100. for this is that the polymer conformation is locally coiled, lowering the end-to-end distance, or that the AFM-imaging process in fact results in some breakage of the polymer chain. Tapping mode images of adsorbed polyelectrolytes on mica after equilibrium adsorption at a higher polymer concentration (20 ppm) (as compared to the respective cases in Fig. 2a–d) are displayed in Fig. 5a–d. It is evident that at this concentration the surface becomes almost fully saturated and inter-chain and intrachain entanglements take place. Hence, under these circumstances the resolution of individual polymer molecules becomes very difficult. It is, however, observed that 60 P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 Fig. 3. Height profiles for a horizontal scan of the tapping mode images of AM-MAPTAC-1 (a) and AM-MAPTAC-100 (b) (under the same conditions as in Fig. 2). Typically, the height images yielded maximum thickness (with respect to the mica base line) of approximately 0.2 and 0.5–0.7 nm for AMMAPTAC-1 and AM-MAPTAC-100, respectively. at high charge density the polymers adsorb more uniformly (or orderly) whereas at lower charge densities more disordered structures are predominant. Thus, the presence of polymer aggregates or ‘patches’ occurs more often as the charge density is reduced. We note that the layer thickness cannot be determined from these AFM images since no large enough uncoated patches are present on the surface. Intermediate polymer concentrations (data not shown) demonstrated that surface saturation is reached at rather low polymer concentrations. For example, the surface coverage was very similar when the polyelectrolyte was adsorbed from a 1 ppm bulk concentration as compared to the 20 ppm case. This observation confirms the high-affinity characteristic of the adsorption isotherm as reported for similar systems w8 x . A difficulty in the application of AFM to imaging of adsorbed polymer layers is illustrated in Fig. 6 obtained after scanning the tip over a smaller area. Here, the edge of a square ‘window’ that corresponds to the accumulation of polymeric chains in the slow-scanning direction occurs because the adsorbed polymers are partly P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 61 Fig. 4. Tapping mode height (left) and phase (right) images (0% relative humidity) of adsorbed AMMAPTAC-100 polyelectrolytes on mica after equilibrium adsorption in 0.1 ppm aqueous polymer solution (scan range 400=400 nm). dragged by the tip in the fast-scanning direction. This problem mainly occurs when imaging adsorbed low-charge-density polyelectrolytes. In this case, the polymer is attached to the surface by relatively few charged segments, and in solution most of the polymer chains extend out from the surface in the form of loops and tails w11x. These extended structures eventually collapse on the surface during drying, but nevertheless they provide a less strong anchoring compared to the charged segments. 3.2. The mica surface and adsorbed amount of polyelectrolyte Muscovite mica is a layered aluminosilicate mineral. For a detailed description w41x. The important aspect from the point of view of ¨ of the mica crystal see Guven this work is that each aluminosilicate layer is negatively charged due to isomorphous substitution of aluminum for silicon. This charge is compensated by small ions, mainly potassium, located between the aluminosilicate sheets. The amount of negative charges in the topmost lattice layer is 2.1=1018 my2. Consequently, this is the number of exchangeable cations at the mica basal plane. The cationic polyelectrolytes thus adsorb to the mica surface through an ion-exchange process. For highly charged polyelectrolytes the exchange is close to stoichiometric whereas for low charge density polyelectrolytes steric repulsion between the adsorbed polyelectrolyte chains limits the adsorption. The adsorbed amount of the polyelectrolytes studied in this work has been quantified by means of XPS w8,42x and found to be 2.3–2.5 mgym2 for AM-MAPTAC-1, 1.5–1.7 mgym2 for AM-MAPTAC-10, 1.1–1.2 mgym2 for AM-MAPTAC-30 and 0.6–0.8 mgym2 for AM-MAPTAC-100. 62 P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 Fig. 5. Tapping mode image (0% relative humidity) of adsorbed polyelectrolyte on mica after equilibrium adsorption in 20 ppm aqueous polymer solution (scan range 1=1 mm): (a) AM-MAPTAC-1; (b) AMMAPTAC-10; (c) AM-MAPTAC-30; and (d) AM-MAPTAC-100. 3.3. Adhesion measurements in dry air For soft, large, homogeneous and elastic surfaces in a crossed cylinder geometry the pull-off force (F) normalized by the geometric mean radius (R) is related to the interfacial energy (g) as w19x: FyRs3pg (1) where it has been assumed that the contact between the surfaces is ideal, i.e. not associated with any excess free energy (e.g. due to surface roughness). This last assumption is hardly ever valid, and even for such smooth substrates as mica the P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 63 Fig. 6. Atomic force microscope image of adsorbed AM-MAPTAC-1 (20 ppm concentration) on mica (scan range 1=1 mm2). The edge of a ‘window’ that corresponds to a previously scanned area of smaller size (400=400 nm2) is clearly seen. pull-off force reported in the literature varies considerably w43x. This is partly due not only to the fact that the relative orientation of the mica crystal in the two surfaces plays a role w44x, but also due to adsorption of water vapor and small amounts of other contaminants w43x. Further, Eq. (1) is valid only under equilibrium conditions, i.e. rate-dependent viscoelastic effects invalidate the equation. We note that the SFA set-up consists of a layered system, glass-glue-mica, which complicates the adhesion mechanics as discussed by Sridhar et al. w45x. The normalized pull-off forces measured between mica surfaces in dry air in our laboratory typically falls in the range 800–1200 mNym, consistent with the values reported by Christensson for the same conditions. During the separation process the contact radius, r, of the flat surface region decreases, and at the point of separation the value of ryr0 decreased to a value of 0.6–0.7, where r0 is the contact radius under zero load. This is in agreement with predictions based on the JKR-theory w19x. The normalized pull-off forces measured between two mica surfaces coated with a preadsorbed polyelectrolyte layer are shown in Figs. 7–10. It should be noted that the fact that the polyelectrolytes were adsorbed outside the measuring chamber 64 P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 Fig. 7. The normalized pull-off force as a function of the number of times the surfaces have been separated from each other at a given contact spot. The measurements were carried out in dry air. Open squares represent the situation with both mica surfaces being coated by a layer of AM-MAPTAC-100. The filled squares represent measurements of pull-off forces between one mica surface coated with AMMAPTAC-100 and one bare mica surface. Results for two different contact positions are illustrated for each case. The polyelectrolytes were adsorbed from a 20 ppm aqueous polymer solution. made it difficult to determine the absolute layer thickness with high accuracy. This is due to the fact that measurements of the zero contact between bare mica surfaces were determined on a different spot on the surfaces than that used for measuring the layer thickness. However, the expected trend with an increase in layer thickness Fig. 8. The normalized pull-off force as a function of the number of times the surfaces have been separated from each other at a given contact spot. The measurements were carried out in dry air. Open squares represent the situation with both mica surfaces being coated by a layer of AM-MAPTAC-30. The filled squares represent measurements of pull-off forces between one mica surface coated with AMMAPTAC-30 and one bare mica surface. Results for two different contact positions are illustrated for each case. The polyelectrolytes were adsorbed from a 20 ppm aqueous polymer solution. P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 65 Fig. 9. The normalized pull-off force as a function of the number of times the surfaces have been separated from each other at a given contact spot. The measurements were carried out in dry air. Open squares represent the situation with both mica surfaces being coated by a layer of AM-MAPTAC-10. The filled squares represent measurements of pull-off forces between one mica surface coated with AMMAPTAC-10 and one bare mica surface. Results for two different contact positions are illustrated for each case. The polyelectrolytes were adsorbed from a 20 ppm aqueous polymer solution. Fig. 10. The normalized pull-off force as a function of the number of times the surfaces have been separated from each other at a given contact spot. The measurements were carried out in dry air. Open squares represent the situation with both mica surfaces being coated by a layer of AM-MAPTAC-1. The filled squares represent measurements of pull-off forces between one mica surface coated with AMMAPTAC-1 and one bare mica surface. Results for two different contact positions are illustrated for each case. The polyelectrolytes were adsorbed from a 20 ppm aqueous polymer solution. 66 P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 from below 1 nm for the polyelectrolyte with the highest charge density (AMMAPTAC-100) to 2–3 nm for the polyelectrolyte with the lowest charge density (AM-MAPTAC-1) was observed. Further, changes in layer thickness during repeated measurements on the same spot could be determined accurately to approximately 0.2 nm. The layers formed by AM-MAPTAC-100 on mica are very thin and flat, as observed from the shape of the interference fringes and more locally with the AFM (see Figs. 3 and 4). The pull-off force measured during the first separation cycle was very large, 2300 mNym, i.e. approximately twice as large as between the uncoated mica surfaces. This strong increase in adhesion cannot be due to an increase in the van der Waals force since the refractive index of mica is higher than that of the polymer. Instead we suggest that the increased adhesion is due to bridging, i.e. once the surfaces are in contact the conformation of the adsorbed polymers may change to allow the segments of the same polymer to bind to both surfaces. This change in conformation is entropically driven. We note that the charges on the MAPTAC-polymer are located 0.7–0.8 nm away from the backbone and by a simple rotation the charged groups may change their position in space by 1.5 nm. This flexibility is likely to facilitate the bridging process. We note that the AFM images show that the mica surfaces are fully packed with polyelectrolytes, but nevertheless some bridging do occur due to the entropically driven changes in polymer conformation. When the pull-off force is measured repeatedly at one and the same contact position, a decrease in adhesion with the number of measurements is observed (two different sets of data are shown in Fig. 7). However, the adhesion force remains high, and the lowest value obtained, after 10 measurements, was 1700 mNym. The decrease in adhesion force indicates that the act of repeatedly bringing together and separating the surfaces affects the adsorbed layer. This is also observed as a slight increase in layer thickness, by some 0.5–1 nm. Hence, we conclude that some polymer molecules are, due to being bound to both surfaces, stretched out during the separation process. When the bridges are broken the polyelectrolytes collapse back onto the surfaces but they are unable to find an equally flat conformation as prior to separation. The increased layer thickness makes formation of bridges slightly more difficult during the subsequent contact, which explains the reduction in adhesion force. Due to the strong attractive forces between the polyelectrolytecoated surfaces a large flat contact area is observed once the surfaces are in contact. Upon separation the radius of the flat region decreased until ryr0 was in the range 0.65–0.75, which is slightly larger than the value of 0.63 expected from JKRtheory. It was also noted that the contact area did not shrink in a continuous fashion with increasing negative load, but rather the contact radius decreased in a stepwise fashion related to stick–slip friction behavior and adhesion hysteresis w46x. Some experiments were also carried out using one mica surface coated with AMMAPTAC-100 and one bare mica surface. The results from two different experiments are illustrated in Fig. 7. Clearly, the pull-off force measured during the first separation is very high, approximately 4000 mNym. The large value of the adhesion force is explained by extensive bridging between the polyelectrolyte-coated surface P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 67 and the bare mica surface. The adhesion force decreased with the number of contacts and reached a plateau value of 2600–2700 mNym. Similarly, the layer thickness increased by 0.6–0.8 nm. These results give strong support for the view that as the surfaces are separated polymer molecules are transferred from the polyelectrolyte coated surface to the initially bare surface, and as a result the number of bridges formed are reduced. We note, however, that the adhesion force remains higher than that between two mica surfaces coated with AM-MAPTAC-100, indicating that even after the polyelectrolytes have been distributed between the two surfaces more bridges are formed in the, at least initially, asymmetric system as a result of a less complete surface coverage. Thus, it is clear that the surfaces should be less than fully covered with polyelectrolytes if the goal is to obtain maximum adhesion. However, from these measurements the optimum coverage cannot be determined. Finally, we note that in the majority of the measurements the decrease in contact radius prior to separation was close to that expected from JKR-theory, but in a few cases a significantly smaller decrease in contact radius was observed. The results for the adhesion force measurements between AM-MAPTAC-30 coated mica surfaces are displayed in Fig. 8. The pull-off force is significantly smaller than for AM-MAPTAC-100 coated mica, and it is independent of the number of measurements at a given spot. This indicates that the number of bridges formed is significantly less and thus the layer is not disturbed by the measurement. This conclusion is supported by the observation that the layer thickness is independent of the number of measurements. The reason why less bridges are formed as compared to AM-MAPTAC-100 is that less charged segments are present and that the uncharged segments constitute a steric barrier counteracting the reconformation needed in order for a polymer chain to cross from one surface and bind to the other. In fact, the adhesion force observed between AM-MAPTAC-30 coated mica surfaces is rather similar to that between two bare mica surfaces, indicating that the van der Waals force is a major cause for the observed adhesion. In order to determine whether more bridges were formed if the surfaces were left in contact for a prolonged time we made one experiment where the surfaces were left in contact for 16 h prior to separation. The result was a 5% increase in adhesion compared to the previous measurement with the typical short contact time (5–10 min). This increase is within the scatter of the measurements and one may conclude that the contact time (t)5 min) does not affect the pull-off force significantly. Finally, we note that the contact radius of the flat region decreased until the ratio ryr0 reached a value of 0.7–0.8 at which point the surfaces jumped apart. This is slightly larger than predicted by JKR-theory. One may speculate that this is due to the discontinuous decrease in contact radius during the separation process and thus related to stick–slip friction. For the asymmetric system, one AM-MAPTAC-30 coated mica and one bare mica surface, the adhesion during the first separation is significantly higher, 2200– 2100 mNym, than between two AM-MAPTAC-30 coated surfaces. This demonstrates that a significant number of bridges are formed. Just as for AM-MAPTAC-100 the pull-off force decreases with the number of contacts. However, for AM- 68 P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 MAPTAC-30 the pull-off force after several contacts is lower for the asymmetric case compared to for two AM-MAPTAC-30 coated surfaces. When inspecting the FECO fringes after the first separation it was noted that the contact region no longer appeared absolutely flat. Clearly, the redistribution of polyelectrolytes between the two surfaces results in formation of a less homogeneous coating, and the increased surface roughness contributes to the relatively low value of the adhesion force found in the asymmetric system after the first separation. Support for this conclusion comes from the observation that by leaving the surfaces in contact for a prolonged time resulted in a more flat contact and an increase in the pull-off force by 50%. As a result of the increased surface roughness we observed that the value of ryr0 decreased to a value of 0.6–0.4, slightly lower than expected by the JKR theory. The tendency was that the contact radius decreased to lower values with increasing number of separations, i.e. with increasing roughness of the polymer layer. A smaller than expected contact radius at the point of separation in air has also been observed for surfaces coated with uncharged polymers w32x. The results for AM-MAPTAC-10, displayed in Fig. 9, are qualitatively similar to those obtained for AM-MAPTAC-30. However, the adhesion forces observed, both between two polyelectrolyte-coated surfaces and between one AM-MAPTAC-10 coated surface and a bare mica surface, is lower than for the more highly charged polyelectrolytes. Clearly, the bridging mechanism becomes less important as the charge density of the polyelectrolyte is decreased. The decrease in contact radius prior to the jump out was found to be consistent with predictions of the JKR-theory for the symmetric system. However, for the asymmetric system it was observed, just as for AM-MAPTAC-30, that the contact became less homogeneous with increasing number of contacts and the value of ryr0 decreased to lower values than expected from the JKR theory. Some measurements were also carried out using AM-MAPTAC-1. The pull-off force as a function of the number of contacts is illustrated in Fig. 10. For two AMMAPTAC-1 coated surfaces we observe an adhesion force that is significantly larger than for the AM-MAPTAC-10 coated surface. Further, a slight decrease in the pulloff force with increasing number of separations was observed. The decrease in adhesion force was accompanied by an increased inhomogeneity of the contact region. Clearly, unlike the situation with AM-MAPTAC-30 and AM-MAPTAC-10, but similarly to AM-MAPTAC-100, we now have material transfer between the two surfaces. Due to the low charge density of the adsorbed polymer, this cannot be explained by formation of electrostatic bridges. Rather, we suggest that the layer for the low charge density AM-MAPTAC-1 is less compact than for the other polymers. This promotes the possibility of chain interpenetration and entanglement between the two polymer layers. During the separation process, even though it is carried out slowly, the polymer layers do not have time to disentangle but the chain interlocking contributes to viscoelastic losses that increases the measured adhesion. The resulting material transfer process is facilitated by the relatively low affinity between AM-MAPTAC-1 and the mica surface due to the low number of electrostatic bonds between the surface and the polyelectrolyte. The relatively low polyelectro- P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 69 Fig. 11. The normalized pull-off force between two polyelectrolyte-coated surfaces measured during the first (filled squares) and fifth (open circles) separation as a function of the charge density of the polyelectrolyte. The polyelectrolytes were adsorbed from a 20 ppm aqueous polymer solution. lyte–surface affinity for this system was also observed during the AFM-imaging (see Fig. 6). For the asymmetric system, AM-MAPTAC-1 coated mica vs. bare mica, the adhesion during the first separation is lower than for the other polyelectrolytes. This is a consequence of the lower number of electrostatic bridges formed. However, material transfer does still occur due to attractive interactions between the uncharged acrylamide segments and the bare mica surface. This is clearly observed as an increase in layer thickness and a less homogeneous contact region with increasing number of separations. The adhesion force after the first separation is higher than between one AM-MAPTAC-10 and one bare mica surface. We attribute this to an increased importance of viscoelastic losses due to chain entanglement. The effect of the charge density of the polyelectrolyte on the pull-off force between two polyelectrolyte-coated surfaces is summarized in Fig. 11 that shows the mean pull-off force for the first and fifth separation, respectively. First, we note that when the charge density is decreased from 100% to 10% the adhesion force during the first separation is reduced. This is a result of a decreasing importance of electrostatic bridges. However, when the charge density is decreased further to 1%, the adhesion force is increased again, an observation that strongly indicates that another contribution comes into play. We argue that the adhesion due to chain interpenetration and entanglement increases as the charge density of the polyelectrolyte is decreased and at this very low charge density makes a significant contribution. For the most highly charged polyelectrolyte and the lowest charge density polyelec- 70 P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 Fig. 12. The normalized pull-off force between one polyelectrolyte-coated surface and one bare mica surface measured during the first (filled squares) and fifth (open circles) separation as a function of the charge density of the polyelectrolyte. The polyelectrolytes were adsorbed from a 20 ppm aqueous polymer solution. trolyte the pull-off force decreases significantly with the number of contacts. The fact that the layer thickness increases and the contact becomes less homogeneous strongly suggests that the decrease in pull-off force is due to the fact that the layer is disrupted during the separation process. For the intermediately charged polyelectrolytes, no indication of disruption of the polymer layer is observed, and conversely the adhesion force is not strongly affected by the number of separations. The effect of the charge density on the adhesion between one polyelectrolytecoated surface and one bare mica surface is summarized in Fig. 12. In this case, the adhesion between the two surfaces decreases with the number of contacts for all polyelectrolytes studied, and this is due to material transfer from the polyelectrolyte-coated surface to the initially bare surface. We further suggest that the relatively low decrease in adhesion force for AM-MAPTAC-1 is due to a relatively large contribution of polymer entanglements to the adhesion force. We note that in our experiments the polyelectrolyte with the highest charge density increases the adhesion in air the most whereas the opposite trend is observed when polyelectrolytes are used as dry-strength additives w2x. This may be due to several effects. First, the charge density of mica is larger than that of the pulp fiber, which leads to a decreased importance of electrostatic bridges in the latter case. Further, in our case the polyelectrolyte layer was preadsorbed and the surfaces were dried before they were brought into contact. On the other hand, in real papermaking systems these additives are added to the paper furnish (fiber suspension) which is subsequently dried in the drier section (after water removal in the forming and press sections). Thus, when paper is made the fibers are dried in a condition of close proximity between each other due to surface tension and capillarity effects. In this P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 71 case, there are much larger chances for the adsorbed polymer layers to interpenetrate and interlock. As a result, the viscoelastic losses during the eventual course of paper rupture are expected to be much larger in the latter case. Such experiments can also be carried out with the surface force apparatus, and we note that studies with the SFA have shown that the adhesion between model cellulose surfaces that are brought into contact in water and subsequently dried is larger by a factor of three than the adhesion between dried cellulose surfaces w47x. This is due to increased chain interpenetration that increases the viscoelastic losses occurring during the separation process. 3.4. Comparison between adhesion forces between polyelectrolyte-coated surfaces in air and water There are several molecular contributions to the adhesion force. The van der Waals attraction is always present, and this force contribution is approximately a factor of five-fold larger in air than in water. This is a consequence of the fact that the difference in dielectric properties of the surface and air is larger than between the surface and water. A second contribution comes from formation of electrostatic surface–polyelectrolyte–surface bridges. This effect increases with the number of bridges formed and the strength of each bridge. Since the electrostatic force is reduced when the dielectric constant is increased, the strength of each electrostatic bridge will be higher in air than in water. On the other hand, the mobility of the polyelectrolyte chain will be higher in contact with water as compared to the case of contact with air, which may favor formation of more bridges in water. Furthermore, the polyelectrolyte layer swells in water and this will oppose the formation of surface– polyelectrolyte–surface bridges. A third contribution arises from bridges formed by uncharged segments. This contribution is considerably smaller in water since in this case both the surface and the acrylamide units have to be dehydrated in order to form a mica-acrylamide bond. A fourth contribution arises from entanglement effects. The more open layer structure in water favors chain interpenetration, but it also makes it easier for the chains to disentangle during the separation process. It is difficult to a priori state if this effect will be more important in water or in air since (in an intricate way) it will depend on the structure of the polyelectrolyte layer, chain relaxation rate and the deformation rate during rupture of the adhesive joint. Some recent work on uncharged polymers has shown that the solvency of the polymer chain greatly influences the role of chain interpenetration for the adhesion between polymercoated surfaces in liquid media w26,48x. The experimental observation is that the adhesion force is significantly stronger in air than in water, much more so than expected from consideration of only van der Waals forces (see Table 2). This is the case also for hydrophilic surfaces such as mica without any polymer coating, and this is related to the hydration of the surface that reduces the interfacial tension. The adsorption of AM-MAPTAC-100 72 P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 Table 2 The pull-off force in air and in water Surface Pull-off force in dry air (mNym) Pull-off force in water (mNym) Bare mica AM-MAPTAC-100 coated mica AM-MAPTAC-30 coated mica AM-MAPTAC-10 coated mica AM-MAPTAC-1 coated mica 800–1200 2300 1000 800 1100 20–40 100–200 2–5 0.5–1 0 on mica surfaces increases the adhesion force in water significantly, and this has been related to bridging w9x. However, the adhesion between AM-MAPTAC-100 coated surfaces in air is significantly stronger providing evidence that this force contribution is even stronger in the low dielectric media due to the increased strength of each electrostatic bridge. The adhesion force in water, just as in air, decreases with decreasing polyelectrolyte charge density. This is partly due to a decreased importance of electrostatic bridges but also due to the development of a steric repulsion between the surfaces in water as the charge density of the polyelectrolyte is decreased. This, in turn, is related to the hydration of the polymer segments for which water is a good solvent. 4. Conclusions Tapping mode AFM-imaging are able to resolve adsorbed individual polyelectrolyte chains at low coverage. However, at high coverage this is not possible, but the images demonstrate that smooth and homogeneous layers are formed. The finding that adsorbed low-charge density polyelectrolytes (e.g. AM-MAPTAC-1) were partly dragged along the surface during scanning suggests that the binding strength of the polyelectrolyte to the surface is reduced when the charge density of the polyelectrolyte decreases. This is due to formation of less electrostatic binding points. The adhesion force measurements carried out with the SFA show that thin polyelectrolyte layers are effective adhesion modifiers in air. In particular, strong adhesion forces were found with AM-MAPTAC-100 and this strongly suggests that electrostatic surface–polyelectrolyte–surface bridges are the cause of the adhesion. At low charge density another force contribution due to entanglement of polymer chains gives rise to a significant contribution to the adhesion force. This is clearly seen for AM-MAPTAC-1. The disruption of the contact leads to irreversible changes in the adsorbed layers when either the number of electrostatic bridges formed are large (AM-MAPTAC-100) or when entanglement effects are important for polymers with a relatively low binding strength to the surface (AM-MAPTAC-1). The adhesion force between one polyelectrolyte-coated surface and one bare mica surface during the first separation was generally higher than that found between two polyelectrolyte-coated surfaces. It is suggested that this is due to formation of P.M. Claesson et al. / Advances in Colloid and Interface Science 104 (2003) 53–74 73 a larger number of bridges. The adhesion force in the asymmetric system decreased with decreasing charge density of the polyelectrolyte, and with increasing number of separations. The latter observation is due to material transfer between the polyelectrolyte-coated surface and the initially bare surface. The decrease in contact radius during the separation process was in many cases consistent with the predictions of JKR-theory. However, a smaller than expected decrease was observed in some cases and related to stick–slip friction and adhesion hysteresis occurring during the shrinkage of the contact radius. For less homogeneous layers, such as those obtained after repeated separations, the contact radius shrank to lower values than predicted by JKR-theory prior to surface–surface separation. 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