Wim Buijs1, Stijn de Flart1. 1. Engineering Thermodynamics, Process & Energy Department, Faculty of Mechanical, Maritime and Materials Engineering, Delft University of Technology, Leeghwaterstraat 39, 2628 CB Delft, The Netherlands.
Abstract
Several reactions, known from other amine systems for CO2 capture, have been proposed for Lewatit R VP OC 1065. The aim of this molecular modeling study is to elucidate the CO2 capture process: the physisorption process prior to the CO2-capture and the reactions. Molecular modeling yields that the resin has a structure with benzyl amine groups on alternating positions in close vicinity of each other. Based on this structure, the preferred adsorption mode of CO2 and H2O was established. Next, using standard Density Functional Theory two catalytic reactions responsible for the actual CO2 capture were identified: direct amine and amine-H2O catalyzed formation of carbamic acid. The latter is a new type of catalysis. Other reactions are unlikely. Quantitative verification of the molecular modeling results with known experimental CO2 adsorption isotherms, applying a dual site Langmuir adsorption isotherm model, further supports all results of this molecular modeling study.
Several reactions, known from other amine systems for CO2capture, have been proposed for Lewatit R VP OC 1065. The aim of this molecular modeling study is to elucidate the CO2capture process: the physisorption process prior to the CO2-capture and the reactions. Molecular modeling yields that the resin has a structure with benzyl amine groups on alternating positions in close vicinity of each other. Based on this structure, the preferred adsorption mode of CO2 and H2O was established. Next, using standard Density Functional Theory two catalytic reactions responsible for the actual CO2capture were identified: direct amine and amine-H2Ocatalyzed formation of carbamic acid. The latter is a new type of catalysis. Other reactions are unlikely. Quantitative verification of the molecular modeling results with known experimental CO2 adsorption isotherms, applying a dual site Langmuir adsorption isotherm model, further supports all results of this molecular modeling study.
The
transition toward a more sustainable society wherein less greenhouse
gases are emitted and where industrial processes become more efficient
and renewable is an important topic that drives lots of research.
One of the biggest challenges is to reduce the greenhouse gas emissions,
especially carbon dioxide which is the main contributor to global
warming.[1] Carbon dioxide emissions generally
arise during the combustion of fossil fuels. Its sources can be classified
as either large point sources (industrial facilities, electricity
generation) or small point sources (transport, residential). Small
point sources are very distributed (such as cars) and emit a lot less
CO2compared to large point sources; however, added up
they still account for more than 40% of the U.S. CO2 emissions.[2] Limiting climate change would require substantial
and sustained reductions of greenhouse gas emissions, and therefore
the emissions from the small point sources cannot be ignored.Conventional technologies are unable to address the CO2 emissions that arise from these small point sources, which has been
driving innovations in new technologies such as Direct Air Capture
(DAC).[3−5] DAC aims to capture CO2directly from
the atmosphere and utilize the captured CO2. Therefore,
it has the advantage over conventional CO2capture technologies
that it can be used to capture CO2 emissions unrelated
to its source, allowing the technology to address CO2 emissions
arising from the smaller and distributed point sources as well. The
atmosphere acts as an infrastructure for CO2, and therefore
the technology can be located anywhere. On top of this, CO2could be an important resource in some industrial processes such
as biofuel production or water treatment.[6] By applying a DAC process at such an industrial facility it would
become possible to capture and utilize the CO2 on-site,
avoiding unnecessary transport of CO2. The literature reports
many different materials and processes for CO2capture,
of which some are capable of capturing CO2directly from
the air.[7,8]One rather promising group of materials
for DAC is solid amine-based
sorbents, which consist of a highly porous support such as fumed silica,
functionalized with amine groups such as polyethylenimine (PEI).[9] Many different kinds of solid amine based sorbents
have been reported in the literature for their excellent capability
of separating CO2 from the air. Most of these solid sorbents
are reported to have CO2capacities of over 1 mol/kg under
ambient conditions (400 ppm of CO2concentration) and can
be regenerated under temperatures in the order of 100 °C.[10−13] Due to their relative low temperature of regeneration, these sorbents
make up an interesting candidate for carboncapture and utilization
(CCU). Processes requiring CO2could harvest it directly
from the air, whereas the energy required for regeneration can be
supplied in the form of waste heat or from renewable energy sources.
This could lead to a further increase in plant efficiency as well
as a sustainable source of CO2.Although the advantages
of DAC are clear, it is not yet widely
applied in industry. In order to gain a better understanding and get
one step closer to applying this technology in an industrial environment,
this study focuses on a specific primary amine functionalized based
sorbent, VP OC 1065.[14,15] Alesi et al. reported VP OC 1065
to have a stable CO2capacity during 18 cycles; it is almost
completely regenerated at temperatures in the order of 100 °C
and shows a low H2O adsorption of 1.5 mol/kg. The full
regeneration at low temperatures and the high cyclic stability make
VP OC 1065 seem to be a good candidate for a DAC process. Apart from
the very low CO2concentration of approximately 400 ppm,
the concentration of water in the air (10–50.000 ppm) seems
to be a very important factor too.Despite its promising CO2 sorption characteristics,
the physical and chemical interactions of CO2 with these
materials have not been elucidated yet, contrary to the well-known
aqueous amine systems wherein the formation of ammonium carbonates
and carbamates has been established.In this study, molecular
modeling has been applied to gain insight
into the structure of this polymeric resin, the preferred mode of
adsorption of CO2 and H2O, and next the mechanism
of the CO2capturing reactions. The results of the molecular
simulations will be verified with available experimental CO2 adsorption isotherms,[14] by setting up
a dual site Langmuir isotherm model. Later the model will be further
developed to provide important engineering parameters.
Materials and
Methods
Sorbent and Sorbent Characterization
The starting material
for this molecular modeling study is Lewatit R VP OC 1065, which is
an ion-exchange resin supplied by Lanxess. As the supplier reports,
the resin is a polymer of p-vinyl benzyl amine, cross-linked
with some divinylbenzene for dimensional stability. The beads have
an effective size of 0.47–0.57 mm and a BET surface area of
50 m2 g–1. The pore volume and average
pore size are reported to be 0.27 cm3 g–1 and 25 nm, respectively. Alesi and Kitchin[15] used energy-dispersive X-ray spectroscopy (EDS) to determine the
composition of the resin.
Molecular Simulations
All molecular
simulations were
performed using Wavefunction’s Spartan’16 suite.[22] Molecular mechanics (MMFF) was used to study
the basic structural features of Lewatit R VP OC 1065, with and without
H2O and/or CO2 physisorption. The results of
that study were used to select candidates for chemisorption by reaction
between the amine and CO2, using quantum chemical calculations.
All structures were fully optimized using density functional (DFT)
B3LYP/6-31-G* starting from PM3 geometries. ωB97X-D/6 311+G(2df,2p)
was used to get a more accurate estimate for the reaction energies
of a model system starting from two methylamine molecules. Transition
states were identified and characterized using their unique imaginary
vibrational frequency or Internal Reaction Coordinate (IRC). Reaction
enthalpies and activation barriers were calculated based upon total
energies and enthalpy corrections. Entropy corrections were not used
because of the huge simplifications of the QM-systems. Quantitative
results of all calculations and all molecular (ensemble) structures
are available in the Supporting Information.
Mathematical Model
As Choi et al.[9] point out, solid amine-based sorbents are expected to capture
CO2 through chemisorption, wherein the amine groups react
with the CO2 molecules. These kinds of sorbents are known
to interact with water, and as Veneman et al.[14] point out for VP OC 1065 H2O does not compete with CO2 during adsorption but rather enhances the
effect. The simplest way to describe noncompetitive adsorption based
on several mechanisms would be through an X-site Langmuir isotherm
given in the following equationwhere the temperature dependency of the sorbent
is described byIn eq , K0 is
a fitting constant, R is the universal gas constant,
and ΔHads is the heat of adsorption.
A correct description of the sorbent’s isotherm can directly
be implemented into the mass balance equation which can provide the
rate of adsorption when it is matched with breakthrough experimentswhere is the rate of adsorption,
given by the
linear driving force equation (LDF), and DL is the axial dispersion coefficient. Combined, eqs –4 represent
a fixed bed adsorption system, assuming an isothermal trace system.
These assumptions are valid for systems where the absorbable component
is present at a very low concentration (negligible heat of adsorption
and variation in velocity), which is the case for DAC. Eqs –4 are commonly used to describe a fixed bed adsorption system and
can be found in the literature.[16,17] In order to solve this
system of equations a correct description of the isotherm is required.
A common way of obtaining this description is by performing equilibrium
experiments at different temperatures and fitting this to an isotherm
model. As Lu et al.[12] mentioned, theoretically
any isotherm can be modeled by an n-site Langmuir
model. In this case the experimental isotherms[14] were used to validate the molecular modeling results quantitatively.
The model is available in the Supporting Information.
Results and Discussion
Molecular Mechanics
The molecular
composition of Lewatit
R VP OC 1065, with 8.3:10.7:81.0 H:N:C on a weight basis, closely
resembles the composition of a polymer based on radical polymerization
of p-vinyl benzyl amine only. The composition of
the corresponding dodecamer is 8.4:10.5:81.1 H:N:C. Therefore, the
linear dodecamer was taken as a basic model for Lewatit R VP OC 1065.
The 3D-structure of the dodecamer can be understood best by analyzing
the geometry of the H-saturated monomer, dimer, and trimer. A conformer
distribution of the monomer shows both the methylamine and ethyl group
perpendicular to the aromatic ring.Figure shows the best conformation of the dimer
in two representative views. The four carbon atoms form a normal zigzag
chain with the two benzyl amine groups on positions 1 and 3, having
a dihedral angle (C–Ar1,C1,C3,C–Ar2) of 107.06 degrees. The aromatic groups
are in almost parallel planes, perpendicular to the alkyl chain and
the amines, as in the monomer. This structural feature is preserved
until conformer 4, counting up to 39.6% in the cumulative Boltzmann
weights under standard conditions (ΔE-conformer
1–4 = 0.4 kJ/mol).
Figure 1
Best conformer of the dimer of p-vinyl benzyl
amine.
Best conformer of the dimer of p-vinyl benzyl
amine.Figure shows the
5 best conformations of the trimer of p-vinyl benzyl
amine. The structure of the trimer is completely in line with the
result of the conformer distribution of the dimer with respect to
the orientation and position of the aromatic groups of the successive
monomers. In addition the alternating aromatic groups of monomers
1 and 3 show π-stacking, and in conformers 1 and 3 H-bridging
between the amino groups is shown. Conformer 1 with amine–amine
H-bridging accounts for 39% of the Boltzmann weight; conformer 3 with
amine–amine H-bridging accounts for 9.5%. The energy difference
between conformers 1 and 5 is 5.1 kJ/mol only, roughly divided by
equal steps between the conformers. Rotational barriers of the R-CH2NH2 groups between the conformers are <10 kJ/mol.
In conclusion, the first 5 conformers account for 88% of the cumulative
Boltzmann weights, and 88% is capable of amine–amine H-bridging
in the trimer. Now the dodecamer can be considered as a directcontinuation
of the structure of the trimer. Figure shows what is assumed to be the best conformer of
the dodecamer. The alternating aromatic groups on 1-3, 2-4, 5-7, 6-8,
9-11, and 10-12 show π-stacking, and all aminecouples are within
close vicinity. Of course the same is true for the alternating aromatic
and amine groups between 3 and 5, 7-9, and 4-6, 8-10. Like the trimer,
the dodecamer will show approximately 88% amine–amine H-bridging.
Figure 2
Best conformers
(1–5) of the trimer of p-vinyl benzyl amine.
Figure 3
Best conformer of the dodecamer of p-vinyl benzyl
amine.
Best conformers
(1–5) of the trimer of p-vinyl benzyl amine.Best conformer of the dodecamer of p-vinyl benzyl
amine.Next the 5 best conformers of
the trimer shown in Figure were used to determine the
preferred adsorption mode of CO2, H2O, and CO2 and H2O jointly.Figure shows the
most favorable complexation of CO2, H2O, and
CO2 and H2O with conformer 3 of the trimer.
In all cases the complex with the lowest strain energy is obtained
from conformer 3 of the trimer.
Figure 4
a: best CO2 complex, b: best
H2O complex,
and c: best CO2 and H2O complex with trimer
conformer 3.
a: best CO2complex, b: best
H2Ocomplex,
and c: best CO2 and H2Ocomplex with trimer
conformer 3.In the case of CO2-complexation, the free electron pair
of one amine group points toward the δ+ charged C
of CO2, while a H of the second amine groups creates a
hydrogen bridge to the δ– charged O of CO2. Conformer 1 builds an almost identical CO2complex,
the only difference being the position of the amine group on position
2. The two complexes account for 97% in the Boltzmann weights.In the case of H2O-complexation, the H2O
molecule forms a hydrogen bridge with each of the amine groups. The
amine–amine distance is slightly enlarged, and there is no
amine–amine H-bridging anymore. This complex accounts for 99%
in the Boltzmann weights. The second best complex, derived from conformer
1, shows one hydrogen bridge of H2O to an amine and a weakened
hydrogen bridge between the two amine groups. It is 14 kJ/mol higher
and accounts for 0.3% only in the Boltzmann weights.Joint CO2 and H2Ocomplexation to trimer
conformer 3 can be best understood as a combination of the former
two single complexations. The complex accounts for >99.9% in the
Boltzmann
weights.The complexes discussed above point toward two different
reactions
of an amine with CO2, leading to the corresponding carbamic
acid or ammonium carbamate. Details of these reactions will be discussed
under quantum mechanics. The complexes of CO2 and CO2 and H2O jointly with conformers 2, 4, and 5 of
the trimer in a similar way point to reactions of H2O with
CO2 to H2CO3 or ammonium bicarbonate. Figure shows a typical
example. It should be noted however that they represent <0.1% in
the Boltzmann weights only.
Figure 5
CO2 and H2O complex of
trimer conformer 4.
CO2 and H2Ocomplex of
trimer conformer 4.This complex shows a
hydrogen bridge of H2O toward an
amine and a hydrogen bridge of the same amine toward the δ– charged O of CO2, while the δ– charge O of H2O points toward the δ+ charged C of CO2.
Quantum Mechanics
Apart from the results of the molecular
mechanics study on the trimer, two other aspects were considered in
selecting suitable candidate reaction systems:1. The concentration
of H2O varies largely in air.2. Experimentally[15] it is known that
Lewatit R VP OC 1065 absorbs a maximum of ∼1.5 mol H2O/kg and ∼3 mol CO2/kg.Therefore, initially
two options were considered for carbamic acid
formation and one for carbonic acid formation, apart from the uncatalyzed
formation of a carbamic acid from an amine and CO2:1. Uncatalyzed formation of carbamic acid from an amine and CO2,2. Aminecatalyzed formation of carbamic acid,3. Direct amine-H2Ocatalyzed formation of carbamic
acid,4. Aminecatalyzed formation of carbonic acid.The
structures of Figure a, 5c, and 6 were used
to produce suitable candidate transition states. A candidate
for the uncatalyzed reaction was derived from an amine-CO2complex directly. Initially the size of the corresponding trimers
was reduced largely to
Figure 6
Transition states amine catalyzed formation of the carbamic
acid:methyl
amine approach and full trimer (B3LYP/6-31G*).
Transition states aminecatalyzed formation of the carbamic
acid:methyl
amine approach and full trimer (B3LYP/6-31G*).1. Methyl amine and CO2,2. Two methyl amines
and CO2,3. Two methyl amines, H2O, and
CO2, and4. Methyl amine, H2O, and CO2.The results of these calculations were used to obtain
an impression
of the activation barriers and reaction enthalpies. Next the structures
were used as input for the analogue calculations on the full trimeric
structures, except for the uncatalyzed reaction. As the uncatalyzed
reaction of methylamine and CO2 requires an activation
barrier of 163 kJ/mol it can be ruled out as a possible explanation
for chemisorption of CO2 by the resin.
Amine Catalyzed Formation of Carbamic Acid
The enthalpy
of formation of the H-bridged amine-complex is about −16.5
kJ/mol in the case of methylamine and −6.7 kJ/mol only for
the full trimer. The stericconstraints of the trimer clearly lead
to a substantial weakening of the amine–amine bridge to −6.7
kJ/mol. Complexation with CO2 lowers the energy with ∼22
kJ/mol in all cases. The transition states shown in Figure for the methyl amine and the
full trimer case look very similar. Atomic distances related to the
formation of the N–C bond as well as the required proton transfers
are listed in the figure too. The activation barriers are 68 and 76
kJ/mol, respectively, the latter again being consistently higher as
the methylamine group has to rotate out of the preferential perpendicular
plane. They show simultaneous C–N bond formation, NH–N
and NH–OC proton transfers to the so-called anti(carbamic acid)
product. In the final products, the carbamic acids show an H-bridge
to the remaining second amine. The reaction enthalpies are −75
kJ/mol and −52 kJ/mol, respectively. In the absence of any
solvent no stable ammonium carbamatecould be established.Time
consuming calculations using ωB97X-D/6-311+G(2df,2p) for the
methyl aminecase yield almost identical results as obtained with
B3LYP/6-31G* and for that reason were not applied for the full trimer. Table S1gives
an overview of all quantitative results for aminecatalyzed carbamic
acid formation.Aminecatalyzed formation of a carbamic acid
has been investigated
with DFT-calculations before. Arstad et al.[24] described already in 2007 the mono ethanolamine (MEA) catalyzed
formation of the corresponding carbamic acid. In this case MEA works
as a directcatalyst too. Planas et al.[18] described a very similar catalyticCO2capture reaction
by two amines in a Metal Organic Framework (MOF). However, there is
an important difference between the two reactions mentioned. Whereas
Arstad et al. developed a theoretical system to describe catalysis
in aqueous systems eventually, Planas et al. described
aminecatalysis in a MOF. The latter is a real system with no solvent
but with very strong electrostatics, associated with the (Mg2+)2(4,4′-dioxidobiphenyl-3,3′-dicarboxylate)4– of the MOF. On the other hand our Lewatit R VP OC
1065 theoretical system, the trimer of p-vinyl benzyl
amine, resembles much more a real gas phase system than both Arstad
et al. and Planas et al. In our case there is neither a solvent (H2O) nor a strong electrostatic field present. The activation
barriers obtained by Arstad et al. for an (isolated) aminecatalytic
system and our system are very similar: 78 (MEA) vs 76 (full trimer)
kJ/mol, while the activation barrier in the MOF is much lower: 40
kJ/mol. Transition state geometries are very similar in all cases.
Direct Amine-H2O Catalyzed Formation of Carbamic
Acid
Reversible physisorption of one H2O molecule
yields −22 kJ/mol for both the methyl amine system and the
full trimer. It is the result of an enthalpy gain of −55 kJ/mol
and an entropy gain of +33 kJ/mol, derived from the vaporisation entropy
of H2O, 109 J/(mol K).[20] Amine-H2Ocatalyzed formation of carbamic acid was described by Arstad
et al.[24] in 2007 too. The difference with
the former case, aminecatalyzed formation of carbamic acid, is the
presence of one molecule of H2O. In the case of Arstad
et al. the H2O molecule is located on the opposite site
of the second amine, which catalyzes the proton transfer from the
first amine to the oxygen of the incoming CO2 molecule.
In our systems the H2O molecule is located between the two benzyl amine groups as shown in Figure b and in more detail explained there. The
transition states of amine-H2Ocatalyzed carbamic acid
formation are shown in Figure for a methyl amine system as described by
Arstad et al.[24] a methyl amine system and
a full trimer system based on Figure b.
Figure 7
Transition states amine-H2O catalyzed carbamic
acid
formation: a) methyl amine-H2O according to ref (24), b) methyl amine-H2O, and c) full trimer-H2O (B3LYP/6-31G*).
Transition states amine-H2Ocatalyzed carbamic
acid
formation: a) methyl amine-H2O according to ref (24), b) methyl amine-H2O, and c) full trimer-H2O (B3LYP/6-31G*).The transition state
of the methyl amine system according to Arstad
et al. is entirely different from the systems derived from Figure b. Whereas in the
system of Arstad et al. the water acts as a polar spectator, not directly
involved in the proton transfers between the two amines and CO2, in our cases the H2O molecule is directly involved
in the proton transfer from amine-H2O-amine-CO2. To our knowledge this type of direct amine-H2Ocatalysis,
with both the amine and the H2O molecule as directcatalysts
involved in proton transfers, is new. The activation barrier of the
methyl amine system of Arstad et al. lies 6 kJ/mol above our systems
with H2Odirectly involved in the proton transfers. Therefore,
this type of catalysis might well be operative in aqueous systems
as well, but the reverse is not true. The corresponding methyl amine-methyl
amine-H2Ocomplex prior to that transition state could
not be established as a local minimum in B3LYP-calculations: it always
transformed into the complex similar to the one shown in Figure b. The activation
barriers of our systems are 45 kJ/mol, significantly lower as in the
aminecatalyzed case. This can be attributed to two effects:1. Amine-H2O-amine-CO2 proton transfer is
easier than amine-amine-CO2 proton transfer only, and2. In the full trimer there is a release of steric strain, allowing
both the carbamic acid and the methylamine group in the preferred
perpendicular position to the aromatic planes.Reaction enthalpies
are now −93 and −76 kJ/mol, respectively,
a result of additional H-bridges in the product compared to −75
kJ/mol and −52 kJ/mol in the aminecatalyzed case. Table S2 shows the results obtained from the
amine-H2Ocatalyzed formation of carbamic acid.
Carbamic
Acid Catalyzed Formation of Carbamic Acid
The product, the
H-bridged carbamic acid-aminecomplex, might react
with a second CO2 molecule to yield a bis-carbamic acidcomplex. This would require carbamic acidcatalysis. This type of
catalysis was described by Planas et al.[18] too. The starting point for the comparison is now the carbamic acidaminecomplex. Complexation with CO2 shifts the energy
to +8 kJ/mol and −3 kJ/mol, respectively. CO2complexation
with the amine pointing to the carbon of CO2 and a weak
H-bridge of the carbamic acid to CO2 are responsible for
that effect, as is visible in the transition states shown in Figure as well. As complexation
of CO2 is not favorable, this reaction is very unlikely.
Figure 8
Transition
states carbamic acid catalyzed formation of carbamic
acid (B3LYP/6-31G*).
Transition
states carbamic acidcatalyzed formation of carbamic
acid (B3LYP/6-31G*).Figure shows
the
transition states of carbamic acidcatalyzed formation of (the second)
carbamic acid. The transition states look very similar and show apart
from NH–CO, OH–CO simultaneous proton transfers also.
Activation barriers in both cases are consequently very low at 25
and 27 kJ/mol. The reaction enthalpies from the final products, the
dimericbis carbamic acids, are in both cases ∼−46 kJ/mol.Table S3 shows all results of carbamic
acid catalyzed formation of carbamic acid.
Amine Catalyzed Formation
of Carbonic acid
Complexation
of H2O with a single amine does not seem to be a profitable
process. The enthalpy gain and entropy loss level out. Complexation
of CO2, on the other hand with an NH–OCO hydrogen
bridge and the δ– charged O of H2O toward the δ+ charged C of CO2, yields
a relative energy of −21 kJ/mol, fully comparable with amine-CO2complexation described previously. The activation barrier
is 64 kJ/mol, and the overall reaction enthalpy is −34 kJ/mol.
Because the complexation of H2O is unfavorable, this reaction
is very unlikely to happen. Table S4 shows
all results of methylaminecatalyzed formation of carbonic acid.
Final Discussion
Selected data of CO2 physisorption
and CO2capturing reactions of the full trimer are summarized
in Table .
Table 1
Selected Data of CO2 Capturing
Reactions of the Full Trimer (B3LYP/6-31G*); * System: CH3NH2–CO2–CH3NH2
kJ/mol
product
catalyst
ΔE-CO2 compl.
ΔE-H2O compl.
Ea-forw
Ea-back
ΔH
RNHCOOH H2NR
RNH2-H2O
–19.1
–22.4
44.3
42.2
–75.6
RNH2
–19.8
75.9
82.3
–51.6
2 RNHCOOH
RNHCOOH
–2.9
27.4
12.4
–45.0
H2CO3-H2NR*
RNH2
–21.0
1.7
64.4
64.7
–33.6
Direct amine-H2Ocatalyzed formation of carbamic acid
is clearly the most likely mechanism for CO2-capture in
Lewatit R VP OC 1065. Both CO2 and H2O show
favorable physisorption, the activation barrier is low, and the calculated
reaction enthalpy is close to the experimental value: −75.6
vs −71.0 kJ/mol for CO2capture in Mg2(dobpdc).[25] Direct amine-H2O and aminecatalyzed formation of carbamic acid leads to a CO2: RNH2 ratio = 1:2. Combined with the earlier mentioned
∼(88%*99%=)87% presence of conformers capable of amine–amine
H-bridging, and the resin’s molecular composition of 7.50 mol
RNH2/kg, the here presented description leads to an overall
value of ∼3.2 mol CO2/kg, as the upper limit of
CO2capture. This is quite close to the reported maximum
value of 3.0 mol CO2/kg resin under a full CO2 atmosphere.[15]However, as the apolar
resin absorbs only 1.5 mol H2O/kg, while 3 mol CO2/kg can be captured,[15] an additional catalytic
reaction is needed. The second
best option is aminecatalyzed formation of carbamic acid. CO2 shows favorable physisorption, the activation barrier is
moderately high with 75.9 kJ/mol, and the calculated reaction enthalpy
−51.6 kJ/mol.Carbamic acidcatalyzed formation of carbamic
acid is unlikely,
as the CO2-complex is weak (−2,9 kJ/mol), and the
reverse reaction is even faster. Furthermore the process leads to
a CO2:RNH2 ratio = 2:2. Finally aminecatalyzed
formation of carbonic acid is unlikely as the single amine-H2Ocomplex is very weak (−1.7 kJ/mol), and the reaction enthalpy
is too low (−33.6 kJ/mol).
Mathematical Model for CO2-Chemisorption
The reaction enthalpies of amine-H2O and aminecatalyzed
formation of carbamic acid were used to describe the temperature dependency
of the CO2capacity of Lewatit R VP OC 1065 in a packed
bed column. Values for K01 and K02 were obtained by fitting this model to experimental
data from Veneman et al.,[14] at a temperature of 303 K. The experimental data were extracted
by making use of a WebPlotDigitizer tool.[19] The X-site Langmuir isotherm was reduced to a dual site model in order to describe the sorbent’s CO2capacity:It should
be noted that a single site
Langmuir isotherm model cannot reproduce the experimental data adequately,
while a triple site model does not lead to any improvement. Table shows the input parameters
at 303 K. Using the data shown in Table , the equilibrium capacities can be calculated
for each temperature according to the dual site model. Figures and 10 show the results of these calculations compared to experimental
data as well as at conditions relevant for direct air capture.
Table 2
Input Parameters for the Dual Site
Model That Were Obtained from Curve Fitting at 303 K
parameter
value
source
qm1 (mol/kg)
1.94
curve fitting
qm2 (mol/kg)
1.06
curve fitting
K1 (Pa–1)
0.01201
curve fitting
K2 (Pa–1)
0.0001444
curve fitting
ΔH1 (kJ/mol)
–75.6
Table 1 line 1
ΔH2 (kJ/mol)
–51.6
Table 1 line 2
Figure 9
CO2 adsorption
isotherms for VP OC 1065 at 303 K, 313
K, 343 K, 353 K, and 373 K. Solid lines represent the CO2 capacity, calculated according to the dual site Langmuir model.
Experimental data were taken from Veneman et al.[14]
Figure 10
Calculated CO2 capacity at
direct air capture conditions
for VP OC 1065.
CO2 adsorption
isotherms for VP OC 1065 at 303 K, 313
K, 343 K, 353 K, and 373 K. Solid lines represent the CO2capacity, calculated according to the dual site Langmuir model.
Experimental data were taken from Veneman et al.[14]Calculated CO2capacity at
direct air capture conditions
for VP OC 1065.From Figure it
can be seen that the dual site model predicts the CO2capacity
at different temperatures quite well, when compared to the experimental
values. The maximum capacity, at 303 K, resulting from the initial
curve fitting, is (1.94 + 1.06) = 3.0 mol CO2/kg. The predicted
curves are slightly too high with increasing CO2 pressure
and temperature. This might be due to the lack of any limiting dynamics
in the model (mass transfer limitation,[21] chemical kinetics) or deactivation by CO2. Very recently
Yu et al. reported degradation of Lewatit R VP OC 1065 in concentrated
dry CO2 at T > 120 °C.[23] A possible deactivation route will be reported
separately soon.From Figure it
is clear that at 400 ppm of CO2 and T =
293 K, the capacity of the resin is still ∼1.1 mol CO2/kg which is crucial for application in a DAC process.
DAC Process
For a DAC process using Lewatit R VP OC
1065 it is also important to realize that the capture of 1 kg CO2 requires a flow of ∼1400 m3 of air through
∼23 kg of resin. This will prohibit the use of the resin as
a permanent storage material. It should be considered as a temporary
storage material or, expressed more accurately, as an effective CO2concentrator. Figure shows the most simple fully continuous process, with
two fixed bed columns, one operating in adsorption mode and one in
desorption mode.
Figure 11
A simple DAC process using two fixed bed columns.
A simple DAC process using two fixed bed columns.In adsorption mode one fixed bed
column is fed with air, containing
∼380 ppm of CO2 at ambient outside temperature (298
K). The outlet stream is arbitrarily set at 10 ppm of CO2 (97% conversion). The temperature in the column is actively maintained
by using cooling water. The second column is operated at the same
time in desorption mode at 100 °C by heating up the cooling water
to that temperature using “waste” heat or geothermal
energy to avoid unwanted condensation of H2O. A small H2O vapor stream at 100 °C is led through to produce a
concentrated (90%) CO2 stream. The H2O vapor
is required to avoid deactivation of the resin by dry CO2 as reported by Yu et al.[23] It should
be noted that this way of operating the process is only possible because
of the low amount of H2O adsorption on the resin. This
allows on one side the herein reported direct amine-H2Ocatalysis, while on the other side also desorption of a concentrated
CO2 stream with a small H2O vapor stream is
possible. If a material would be used showing a much higher H2O adsorption, the overall energetics of the process would
be dominated by the adsorption and desorption of water. In a process
using a material with the H2O adsorption of Lewatit R VP
OC 1065 the overall energetics might be limited to the required entropy
of (ideal) gas separation, the heat of reaction, and the energy to
heat up the resin to the desired desorption temperature (100 °C).
In this fully continuous process, using at least two columns, the
heat of reaction, released in adsorption mode, partly could be reused
for preheating the water stream in desorption mode.Finally
it should be noted that apart from its suitability for
a DAC-process, the resin also can be applied for point sources of
CO2. The same properties that make it particularly useful
for a DAC process (high CO2capacity, low H2Ocapacity, low desorption temperature) are important for such processes
as well.A molecular mechanics study on the
structure of Lewatit R VP OC 1065 yields that the resin has an ordered
structure wherein alternating amine groups are within close vicinity
to enable specificcatalyticCO2capturing reactions.Two catalytic reactions
are responsible
for CO2capture on Lewatit R VP OC 1065: direct amine-H2O and aminecatalyzed formation of carbamic acid.Direct amine-H2Ocatalysis
is a new catalytic reaction.The formation of ammonium carbonate
on the resin is very unlikely.Carbamic acidcatalyzed formation of
carbamic acid is very unlikely.The use of ωB97X-D/6-311+G(2df,2p)
yields almost identical results as obtained with B3LYP/6-31G* and
seems of limited added value.Quantitative verification of the molecular
modeling results with known experimental CO2 adsorption
isotherms, applying a dual site Langmuir isotherm model, further supports
all results of this molecular modeling study.This study and the references herein
cited on computational chemistry are an ongoing demonstration of the
fact that molecular modeling is capable of solving a variety of thermodynamic
and engineering problems in very specificcases while using a general
applicable approach.
Authors: Nora Planas; Allison L Dzubak; Roberta Poloni; Li-Chiang Lin; Alison McManus; Thomas M McDonald; Jeffrey B Neaton; Jeffrey R Long; Berend Smit; Laura Gagliardi Journal: J Am Chem Soc Date: 2013-04-29 Impact factor: 15.419
Authors: Thomas M McDonald; Woo Ram Lee; Jarad A Mason; Brian M Wiers; Chang Seop Hong; Jeffrey R Long Journal: J Am Chem Soc Date: 2012-04-12 Impact factor: 15.419
Authors: Alain Goeppert; Hang Zhang; Miklos Czaun; Robert B May; G K Surya Prakash; George A Olah; S R Narayanan Journal: ChemSusChem Date: 2014-03-18 Impact factor: 8.928