title: From exponential to linear growth in polyelectrolyte multilayers.
abstract: There exist two types of polyelectrolyte multilayers: those whose thickness increases linearly with the number of deposition steps, which are nicely structured, and those whose thickness increases exponentially, which resembles hydrogels. This simple picture has recently slightly evolved with the finding that some exponentially growing films enter into a linear growth phase after a certain number of deposition steps. In this study, we investigate the buildup process of hyaluronic acid/poly(L-lysine) (HA/PLL) multilayers that constitute one of the best known exponentially growing systems. The films are built by using two deposition methods: the well-known dipping method and the more recent spraying method where the polyelectrolyte solutions are sprayed alternately onto a vertical substrate. The goal of this study is twofold. First, we investigate the influence of the main parameters (i.e., spraying rate and spraying time) of the spraying method on the film growth process. We find that, as for the dipping method, the film thickness first evolves exponentially with the number of deposition steps, and after a given number of deposition steps, it follows a linear evolution. We find that similar behavior is observed with the dipping method. Second, because the spraying method allows the very fine variation of the different parameters of the buildup, we use this method to investigate the exponential-to-linear transition. We find that this transition always takes place after about 12 deposition steps whatever the values of the parameters controlling the deposition process. We discuss our results in light of a model proposed by Hübsch et al. (Hübsch, E.; Ball, V.; Senger, B.; Decher, G.; Voegel, J. C.; Schaaf, P. Langmuir 2004, 20, 1980-1985) and later by Salomäki et al. (Salomäki, M.; Vinokurov, I. A.; Kankare, J. Langmuir 2005, 21, 11232-11240) in which it is assumed that the exponential-to-linear transition is due to a film restructuring that progressively forbids the diffusion of one of the polyelectrolytes constituting the film over part of the film. This "forbidden" zone then grows with the number of deposition steps so that the outer zone of the film that is still concerned with diffusion keeps a constant thickness and moves upward as the total film thickness increases.
authors.affiliation: Institut Charles Sadron, Centre National de la Recherche Scientifique, Université Louis Pasteur, 6 rue Boussingault, 67083 Strasbourg Cedex, France.
authors.forename: Claudine
authors.initials: C
authors.lastname: Porcel
authors.forename: Philippe
authors.initials: P
authors.lastname: Lavalle
authors.forename: Vincent
authors.initials: V
authors.lastname: Ball
authors.forename: Gero
authors.initials: G
authors.lastname: Decher
authors.forename: Bernard
authors.initials: B
authors.lastname: Senger
authors.forename: Jean-Claude
authors.initials: JC
authors.lastname: Voegel
authors.forename: Pierre
authors.initials: P
authors.lastname: Schaaf