Molecular Dynamics Simulations of Mass Transfer Resistance in Grain Boundaries of
Twinned Zeolite Membranes
David A. Newsome and David S. Sholl*
Department of Chemical Engineering, Carnegie-Mellon UniVersity, Pittsburgh, PennsylVania 15213
ReceiVed: May 28, 2006; In Final Form: August 30, 2006
The net mass transfer resistance for gas molecules permeating through zeolite membranes includes contributions
from intracrystalline diffusion and contributions from interfacial effects. These interfacial effects can arise
either from gas-zeolite interfaces or from interfaces that exist within zeolite crystals due to grain boundaries.
We present the first atomically detailed simulations that examine interfacial mass transfer resistance due to
internal grain boundaries in zeolites that are relevant for membrane applications. Our calculations examine
twinned silicalite crystals in crystallographic configurations that have been identified in previous experiments.
We used the dual control volume grand canonical molecular dynamics method to simulate the permeance of
CH
4
and CF
4
through thin twinned silicalite crystals. The magnitudes of the grain boundary resistances are
quite substantial, at least for the thin crystals that are accessible in our simulations.
1. Introduction
The permeation of gases through membranes made from
nanoporous inorganic materials such as zeolites is controlled
by a combination of adsorption of molecules into the membrane
material and the mass transfer resistance associated with
molecules moving through the membrane. The most obvious
source of this mass transfer resistance is associated with
intracrystalline diffusion through the membrane material. There
is a large amount of literature dealing with atomically detailed
models of intracrystalline diffusion in crystalline nanoporous
materials,
1-6
including examples that compare theoretical
predictions with experimental observations of membranes.
7-10
Treating intracrystalline diffusion as the only source of mass
transfer resistance is appropriate for thick single crystals of
nanoporous materials. Real zeolitic membranes differ from this
simple limit in at least two important respects. First, it is
desirable in practical applications to minimize the thickness of
the zeolite layer.
11
Second, real membranes are almost always
polycrystalline films grown on macroporous supports.
12-17
These
conditions mean that the mass transfer resistance associated with
entering and leaving the pores of a zeolite crystal should also
be included if a complete description of permeation through
real membranes is desired.
18
Atomically detailed simulations
have been applied to this issue, primarily using dual control
volume grand canonical molecular dynamics (DCV GCMD) to
directly observe these so-called surface barriers in ultrathin
membranes.
19-23
We have recently introduced a complementary
simulation method that can be used to rapidly assess whether
surface barriers are significant for a wide range of process
conditions once an atomically detailed model of the membrane
material and permeating molecules is available.
24-26
A further source of mass transfer resistance in zeolitic
membranes can occur due to imperfections in the zeolite crystal
structure within an individual crystal. A number of experimental
observations of silicalite crystals have reported the existence
of twinned crystals in which grain boundaries separate multiple
orientationally distinct silicalite single crystals.
27-30
These
experiments have assigned the crystal orientations and shapes
that form these twinned crystals, which can be thought of as
pyramids of silicalite in contact with one another.
27-30
Because
of the disruption in the structures between the pyramids, grain
boundaries are created that are suspected to pose mass transfer
barriers. Unusual adsorption and desorption behavior has been
experimentally observed in the twinned zeolite samples.
27-30
For example, Geus et al. experimentally observed that water
had hindered diffusion through the crystals, which they attributed
to the internal interfaces.
29
Geier et al. observed unusual transient
concentration profiles of isobutene, noting that some sections
had faster rates of uptake.
30
They could only explain this because
of the presence of the interfaces. Kocirik et al. performed mutual
diffusion experiments to color the crystals using numerous
chemical pairs such as iodine-benzene, iodine-toluene, and
iodine-decahydronaphthalene.
27
In this paper, we describe the first atomically detailed
calculations to examine the properties of molecular transport
through internal grain boundaries in a zeolite relevant for
membrane applications. We have focused on twinned silicalite
because of the structural characterization for this example from
the experiments just mentioned. We used the DCV GCMD
approach to model gas permeation through twinned silicalite
crystals. Our paper is organized as follows. In section 2 we
describe the method used to construct the interfaces between
twinned grains of silicalite at an atomic scale. Section 3 presents
our DCV GCMD simulations of CH
4
and CF
4
permeation
through twinned silicalite crystals in terms of the mass transfer
resistances of the twinned zeolite membrane with and without
the grain boundaries. We summarize our conclusions and discuss
our results in section 4.
2. Grain Boundary Structure
The grain boundary structure of twinned silicalite crystals
that has been observed experimentally is illustrated in Figure
1.
29,30
The rectangular silicalite crystal illustrated in Figure 1a
is comprised of six pyramidal crystals with different crystal-
lographic orientations. In all, six crystals, the crystallographic
* Corresponding author phone: 412-268-4207; fax: 412-268-7139;
e-mail sholl@andrew.cmu.edu.
22681 J. Phys. Chem. B 2006, 110, 22681-22689
10.1021/jp063287g CCC: $33.50 © 2006 American Chemical Society
Published on Web 10/25/2006