Analysis of the Pressure-Induced Potential Arising
through Composite Membranes with Selective Surface
Layers
Anthony Szymczyk,* Mohammed Sbaı ¨, and Patrick Fievet
Laboratoire de Chimie des Mate´ riaux et Interfaces, Universite´ de Franche-Comte´ ,
25030 Besanc¸ on Cedex, France
Received June 29, 2004. In Final Form: October 22, 2004
When a pressure gradient is applied through a charged selective membrane, the transmembrane electrical
potential difference, called the filtration potential, results from both the applied pressure and induced
concentration difference across the membrane. In this work we investigate the electrokinetic properties
relative to both active and support layers of a composite ceramic membrane close to the nanofiltration
range. First, the volume charge density of the active layer is obtained by fitting a transport model to
experimental rejection rates (which are controlled by the active layer only). Next, the value of the volume
charge density is used to compute the theoretical filtration potential through the active layer. For sufficiently
high permeate volume fluxes, the concentration difference across the active layer becomes constant, which
allows assessing the membrane potential of the active layer. Experimental measurements of the overall
filtration potential arising through the whole membrane are performed. The contribution of the support
layer to this overall filtration potential is put in evidence. That implies that the membrane potential of
the active layer cannot be deduced directly from the overall filtration potential measurements. Finally,
the contribution of the support layer is singled out by subtracting the theoretical filtration potential of
the active layer from the experimental filtration potential measured across the whole membrane (i.e.,
support + active layers). The amphoteric behavior of both layers is put in evidence, which is confirmed
by electrophoretic measurements carried out with the powdered support layer and by recently reported
tangential streaming potential measurements.
1. Introduction
It is now well established that filtration membranes
cannot be viewed simply as sieves rejecting solutes
according to a purely steric exclusion mechanism. Indeed,
membranes used in nanofiltration (NF) and low ultra-
filtration (UF) processes possess active layers with pores
ranging from ∼1 to a few nanometers in diameter.
The combination of such narrow pores with electrically
charged materials leads to a strong overlap of electrical
double layers inside pores. This latter is responsible for
the so-called Donnan exclusion that is connected with the
development of an interfacial electrostatic potential bar-
rier pumping counterions through the membrane pores
while repulsing coions.
The free energy of ion transfer from bulk solution into
pores of nanometric dimensions is likely to be affected
also by structural changes of water in a confined medium
and by the interaction of ions with the polarization charges
that are produced at the interface between media char-
acterized by different dielectric constants (i.e., the mem-
brane matrix and the solution filling pores).
1
This latter
phenomenon is usually described as the production of
image forces since the interaction between an ion and the
polarized interface is formally equivalent to the interaction
with a fictitious image charge located at the other side of
the interface at the same distance from it as the ion.
2
This
dielectric effect is strongly affected by the presence of a
fixed charge on the pore walls, which screens the interac-
tion between the ion and the polarized surface.
2,3
It is then of great interest for a better understanding
of membrane performance to characterize the electroki-
netic properties of active (i.e., selective) layers. Among
usual techniques, the transmembrane streaming potential
measurement has become, thanks to its experimental
simplicity, the most commonly used tool for assessing the
electrokinetic properties of porous membranes. The
transmembrane (or transversal) streaming potential is
defined as the pressure-induced electrical potential dif-
ference arising between pore ends under zero electrical
current condition and no concentration difference across
the membrane. This attractive technique has been used
to assess the electrokinetic properties of a broad range of
porous membranes
4-7
even in the case of membranes with
high ionic retention properties.
8-10
However, in the case
of membranes with selective layers, the streaming po-
tential is no more the only pressure-induced component
of the overall transmembrane electrical potential differ-
ence and the term filtration potential should be used
instead.
11
Since such membranes have usually a multi-
layer structure, the porous sublayers are likely to con-
tribute to the overall pressure-induced potential.
12,13
That
* Corresponding author. Tel: 33.3.81.66.20.32. Fax:
33.3.81.66.20.33. E-mail: anthony.szymczyk@univ-fcomte.fr.
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1818 Langmuir 2005, 21, 1818-1826
10.1021/la048399i CCC: $30.25 © 2005 American Chemical Society
Published on Web 02/02/2005