The Nitric Oxide Dimer Reaction in Carbon Nanopores
Deepti Srivastava,
†
C. Heath Turner,
‡
Erik E. Santiso,
†
and Keith E. Gubbins*
,†
†
Department of Chemical & Biomolecular Engineering, North Carolina State University, Raleigh, North Carolina 27695-7905,
United States
‡
Department of Chemical and Biological Engineering, The University of Alabama, Tuscaloosa, Alabama 35487-0203, United States
ABSTRACT: When confined within nanoporous carbons
(activated carbon fibers or carbon nanotubes) having pore
widths of about 1 nm, nitric oxide is found to react completely
to form the dimer, (NO)
2
, even though almost no dimers are
present in the bulk gas phase in equilibrium with the pore
phase. Moreover, the yield of dimer is unchanged upon varying
the temperature over the range studied in the experiments.
Earlier molecular simulation studies showed a significant
increase in dimer formation in carbon nanopores, but the
dimer yield was considerably less than that found in the
experiments, and decreased rapidly as the temperature was
raised. Here, we report an ab initio and molecular simulation
study of this reaction in both slit-shaped pores and single-walled
carbon nanotubes. The ab initio calculations show that the nitric oxide dimer forms a weak chemical bond with the carbon, and
the bonding energy is more than 20 times stronger than the van der Waals energy assumed in the previous studies. When this is
accounted for, the predicted dimer yield is in good agreement with the experimental values, as is its temperature dependence.
We also report results for the pressure tensor components for this confined reactive mixture. Local tangential pressures near the
pore walls are as high as millions of bar, reflecting the strong nanoscale forces.
1. INTRODUCTION
When carried out in a nanoporous catalyst or catalyst support,
heterogeneous reactions are often strongly affected by the pore
shape and width, surface heterogeneity, and the interactions of
the various reactants, products, and activated species with the
pore walls. These factors can have a large influence on the
reaction yield,
1−4
the rate,
5
and the activation barriers
6−8
and
in some cases can alter the reaction mechanism
6,8,9
or produce
new product phases.
9−11
Other considerations in such
heterogeneous reactions include surface defects in the solid
substrate, which can form highly reactive sites,
6,12
and high
tangential pressures due to the strong force field from the solid
substrate, thus promoting high pressure reactions
9,13
and
shape-catalytic effects.
8
The latter effect occurs when the pore
size and shape become similar to those of the molecules. For
such reactions, when the transition state theory is appropriate,
the pore size can enhance or hinder the reaction if the shape of
the transition state is similar to that of the pore, leading to
dramatic effects of pore size. Small changes in the pore width
then have a large effect on the potential energy surface of the
reaction and on the reaction rate, as shown by a study of the
rotational isomerism of C
4
hydrocarbons in carbon pores.
8
In this paper, we report a study of the nitric oxide
dimerization reaction, 2NO ↔ (NO)
2
, in carbon nanopores.
This reaction is of interest for several reasons: (a) reliable
experimental data are available for this reaction in well-defined
nanoporous carbons; (b) the results of these experimental
studies are surprising, showing complete conversion to the
dimer in the nanopores, although there are almost no dimers in
the bulk gas phase that is in equilibrium with the porous
material; and (c) the failure of theoretical studies so far to
provide a satisfactory explanation of these results.
In 1989, Kaneko et al.
1
reported a study of the nitric oxide
dimer reaction in NO-adsorbed activated carbon fibers, for the
temperature range 273−423 K under a nitric oxide gas
pressure of 80 kPa. The carbon fibers, which have slit-shaped
pores, had a relatively uniform pore width of 0.8−0.9 nm. The
composition of the confined nanophase was determined using
magnetic susceptibility measurements (while the monomer is
paramagnetic, the dimer is diamagnetic), and it was found that
more than 98 mol % of the molecules consisted of (NO)
2
dimers, even though the fraction of dimers in the bulk phase in
equilibrium with the pore was of the order a few mole % or
less. This surprising result was confirmed in later experiments
carried out by Byl et al.,
2
who studied the reaction in (10,10)
single-walled carbon nanotubes having a diameter of 1.36 nm
over the temperature range 103−136 K, under nitric oxide gas
pressures up to a few torr. Equilibrium compositions within the
SWNTs were determined using Fourier transform infrared
spectroscopy, and the mole fraction of dimers was shown to be
Special Issue: Benjamin Widom Festschrift
Received: November 3, 2017
Revised: December 14, 2017
Published: December 14, 2017
Article
pubs.acs.org/JPCB
Cite This: J. Phys. Chem. B XXXX, XXX, XXX-XXX
© XXXX American Chemical Society A DOI: 10.1021/acs.jpcb.7b10876
J. Phys. Chem. B XXXX, XXX, XXX−XXX