Nanoscale
PAPER
Cite this: DOI: 10.1039/c4nr06469k
Received 3rd November 2014,
Accepted 22nd December 2014
DOI: 10.1039/c4nr06469k
www.rsc.org/nanoscale
Adsorption in alumina pores open at one and at
both ends†
Lorenzo Bruschi,
a
Giampaolo Mistura,*
b
Phuong T. M. Nguyen,
c
Duong D. Do,*
c
David Nicholson,
c
Sang-Joon Park
d
and Woo Lee*
d,e
We have studied adsorption in regular, self-ordered alumina pores open at both ends or only at one end.
The straight, non-connected pores have diameters ranging from 22 to 83 nm, with a relative dispersion
below 1% in the pore size. Adsorption isotherms measured in open pores with a torsional microbalance
show pronounced hysteresis loops characterized by nearly vertical and parallel adsorption and desorption
branches. Blocking one end of the pores with glue has a strong influence on adsorption, as expected
from classical macroscopic arguments. However, the experimental measurements show an unexpectedly
rich phenomenology dependent on the pore size. For large pores (D
p
≥ 67 nm), the isotherms for closed
end pores present much narrower hysteresis loops whose adsorption and desorption boundaries envelop
the desorption branches of the isotherms for the corresponding open pores of the same size. The loop
for small closed end pores (D
p
= 22 nm) is slightly wider than that for open pores while the adsorption
branches coincide. For large pores, in contrast, the desorption branches of pores with the same
D
p
overlap regardless of the pore opening. These observations are in agreement with our grand canonical
Monte Carlo (GCMC) simulations for a cylindrical pore model with constrictions, suggesting that the
alumina pores could be modeled using a constricted pore model whose adsorption isotherm depends on
the ratio of the constriction size to the pore size (D
c
/D
p
).
Introduction
Advances in nanotechnology have allowed the fabrication of
porous matrices formed from straight, unconnected pores
with the characteristic size ranging from a few to a couple of
hundred nanometers.
1
Examples of such materials include
porous silicon,
2,3
silica SBA-15
4
and MCM-41,
5
and porous
alumina.
6–8
Because of their regularity, these matrices have
been exploited as templates for the realization of new func-
tional materials.
8–11
They have also been widely employed to study the behavior
of fluids under confinement.
12,13
On a planar open surface, an
adsorbed fluid exhibits the coexistence between the adsorbate
and the vapor-like phases, but the first-order boundary curve
and the critical point are shifted when the fluid is confined in
a pore. At a temperature T below a critical temperature which
depends on the pore size, vapor condenses at a pressure P less
than the saturation vapor pressure P
0
. If the liquid completely
wets the pore inner walls, the condensation pressure is related
to the curvature C of the meniscus formed in the pore using
the macroscopic Kelvin equation:
14
ln
P
P
0
¼À
γ
n
l
K
B
T
C ð1Þ
where γ is the adsorbate surface tension and n
l
is the liquid
argon number density both evaluated at T, and K
B
= 1.38 ×
10
-16
erg K
-1
being the Boltzmann constant.
The order of the transition is determined by the confining
geometry. In rectangular grooves, the capillary condensation is
continuous if the liquid completely wets the cap, and first-
order otherwise.
15
In open cylindrical pores, Cohan
16
origi-
nally proposed that the transition is first-order because of the
different shape of the meniscus during adsorption (the adsor-
bate is added to the pore) and desorption (the adsorbate is
removed from the pore). It follows that in a closed bottom
cylindrical pore, a continuous transition is expected because
the meniscus nucleates at the bottom corners and will be
the same in both adsorption and desorption. Classical
theories,
17–20
mean field density functional theory,
21–23
simu-
lations of adsorption and desorption studied by mean field
† Electronic supplementary information (ESI) available. See DOI: 10.1039/
c4nr06469k
a
CNISM Unità di Padova, via Marzolo 8, 35131 Padova, Italy
b
Dipartimento di Fisica e Astronomia G. Galilei, Università di Padova, via Marzolo 8,
35131 Padova, Italy. E-mail: giampaolo.mistura@unipd.it
c
School of Chemical Engineering, University of Queensland, St. Lucia, QLD 4072,
Australia. E-mail: d.d.do@uq.edu.au
d
Korea Research Institute of Standards and Science (KRISS), Yuseong,
305-340 Daejeon, Korea. E-mail: woolee@kriss.re.kr
e
University of Science and Technology (UST), Yuseong, 305-333 Daejeon, Korea
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