Yao-Yao Huang1, Lin-Xiang Ji2, Zheng-Hua He1, Guang-Fu Ji1. 1. National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621900 Sichuan, China. 2. Department of Physics and Engineering Physics, University of Saskatchewan, Saskatoon, Saskatchewan S7N5E2, Canada.
Abstract
How to improve the dehydrogenation properties of ammonia borane (AB, NH3BH3) is always a challenge for its practical application in hydrogen storage. In this study, we reveal the enhanced effect of an external electric field (E ext) on AB dehydrogenation by means of the ab initio molecular dynamics method. The molecular rotation induced by an electrostatic force can facilitate the formation of the H-N···B-H framework, which would aggregate into poly-BN species and further suppress the generation of the volatile byproducts. Meanwhile, the dihydrogen bond (N-Hδ+···δ-H-B) is favorably formed under E ext, and the interaction between relevant H atoms is enhanced, leading to a faster H2 liberation. Correspondingly, the apparent activation energy for AB dissociation is greatly reduced from 18.42 to around 15 kcal·mol-1 with the application of an electric field, while that for H2 formation decreases from 20.4 to about 16 kcal·mol-1. In the whole process, the cleavage of the B-H bond is more favorable than that of the N-H bond, no matter whether the application of E ext. Our results give a deep insight into a positive effect of an electric field on AB dehydrogenation, which would provide an important inspiration for hydrogen storage in industry applications.
How to improve the dehydrogenation properties of ammonia borane (AB, NH3BH3) is always a challenge for its practical application in hydrogen storage. In this study, we reveal the enhanced effect of an external electric field (E ext) on AB dehydrogenation by means of the ab initio molecular dynamics method. The molecular rotation induced by an electrostatic force can facilitate the formation of the H-N···B-H framework, which would aggregate into poly-BN species and further suppress the generation of the volatile byproducts. Meanwhile, the dihydrogen bond (N-Hδ+···δ-H-B) is favorably formed under E ext, and the interaction between relevant H atoms is enhanced, leading to a faster H2 liberation. Correspondingly, the apparent activation energy for AB dissociation is greatly reduced from 18.42 to around 15 kcal·mol-1 with the application of an electric field, while that for H2 formation decreases from 20.4 to about 16 kcal·mol-1. In the whole process, the cleavage of the B-H bond is more favorable than that of the N-H bond, no matter whether the application of E ext. Our results give a deep insight into a positive effect of an electric field on AB dehydrogenation, which would provide an important inspiration for hydrogen storage in industry applications.
Ammonia borane (NH3BH3, AB), as a typical
hydrogen-rich material, possesses an extremely high gravimetric and
volumetric hydrogen content (19.6 wt % and 0.145 kg·L–1), making it one of the most promising hydrogen storage materials.[1−4] Its unique physical and chemical properties, deriving from the heteropolar
dihydrogen bond interaction (N–Hδ+···δ−H–B), have attracted extensive attention
in relevant fields.[5−8] The classic three-step reaction mechanism (formula 1–3) of
AB thermolysis is proposed based on theoretical and experimental studies.[9−11]Despite AB seemingly
having a moderate reaction temperature, poor
dehydrogenation kinetics and many volatile byproducts still hamper
its practical application in hydrogen storage.[12,13] To improve the reaction dynamics properties, some special catalysts
have been developed and employed to reduce the dehydrogenation energy
barrier and depress the impurity formation. For example, Feng et al.[14] investigated the synergistic catalysis of natural
halloysite nanotubes and palladium (Pd) nanoparticles on AB decomposition
and detected a great improvement for H2 liberation at a
low temperature of 60 °C, with a much lower apparent activation
energy of ∼11 kcal·mol–1. Denney et
al.[12] reported that the transition metal
Ir composite can suppress the formation of byproducts (such as NH3, B2H6, and B3N3H6) and catalyze AB thermolysis dehydrogenation. Unfortunately,
the remains of catalyst usage are always catastrophic for the recycling
of AB regeneration.[15−17] Therefore, it is desirable to develop an efficient
and sustainable way for AB dehydrogenation.Recent research
studies reveal that the external electric field
(Eext) can significantly adapt the chemical
reaction properties without any extra impurity in the system.[18−20] Special orientation of Eext along the
“chemical bond/reaction axis” can effectively regulate
the global geometric structure and electronic features of the system.
The corresponding chemical reactivity and product selectivity can
also be improved. Shaik et al.[21] found
that NH3 placed in an +Eext along the z-axis would make it more pyramidal (with
a higher dipole moment), whereas reversing the direction of the electric
field would cause the molecule to adopt a more planar geometry. Song
et al.[22] revealed that the charge transfer
between H2 molecules and the Ca/silicene system is accelerated
by applying a positive Eext, which could
efficiently facilitate H2 physical adsorption/desorption.
Datta et al.[23] demonstrated that the reactions
involving 1,3-dipole aryl-/alkyl-azides and cyclooctyne derivatives
can be catalyzed by the application of Eext along the “reaction axis”. Similar effects of Eext on the AB system are also detected. Zhang
et al.[24] suggested that Eext along the B–N bond axis can lead to variations
in the bond length and charge transfer of AB. Wang et al.[25] revealed an “electric dipole”
effect generated by the Pt–Ni atoms in the catalytic dehydrogenation
process of AB and proposed that the B–H bond is activated by
this effect to enhance the dehydrogenation kinetics. Yu et al.[26] reported that the adsorbed B–H bond over
the BC3 sheet was further elongated with Eext, which could greatly promote H2 production.
The promoting effect of the electric field on AB dehydrogenation has
been concerned, but the intrinsic interaction mechanism is not sufficiently
investigated yet. It is urgent to carry out some necessary studies
to promote the practical application of Eext in hydrogen storage.In this study, we aim to uncover the
enhanced effect of Eext on AB dehydrogenation
by analyzing the microscopic
reaction mechanism and kinetics properties based on ab initio molecular
dynamics (AIMD) simulations. We first analyze the structure deformation
and electron transfer of AB under Eext. Thereafter, the population evolution of main chemical bonds and
key species involved in AB decomposition are discussed to reveal the
promoting effects of Eext on AB dehydrogenation.
Finally, the reaction kinetics properties are analyzed, and the corresponding
kinetics constants are determined.
Computational
Details
The thermal decomposition of AB is simulated using
the AIMD method
implemented in the CP2K code,[27] which is
based on a hybrid Gaussian and plane wave method. The exchange–correlation
interactions are described using the standard BLYP functional (Becke,
Lee–Yang–Parr) with Grimme’s dispersion correction.[28,29] A DZVP polarization basis set is employed for DFT calculations.
The electron–core interactions are described with a norm conserving
Goedecker, Teter, and Hutter[30] pseudopotentials.
An energy cutoff of 600 Ry is used for the plane wave expansion for
the electron density. The NVT ensemble is employed
in the AIMD simulation to keep the temperature constant with the Nøse–Hoover
thermostat.[31] The van der Waals interaction
is considered by DFT-D3.[32]The initial crystal structure of AB derives
from the experimental data, and the low-temperature and low-pressure Pmn21 phase is picked as a normal theoretical
study.[5] It has a typical orthorhombic structure,
with the lattice constants of a = 5.395 Å, b = 4.887 Å, and c = 4.986 Å.
The cell optimization is first carried out to get the stable structure
parameters. The calculated results are a = 5.244
Å, b = 4.737 Å, and c =
4.914 Å, which are well consistent with the experimental data.
We start the MD simulation from a 2 × 2 × 3 supercell with
24 AB molecules (Figure ). The system is relaxed at 200 K for 3 ps to obtain a dynamic equilibration.
After that, the temperature is gradually elevated to 2000 K. The external
electric fields of 0.0025 and 0.005 au (1 au = 5.14 × 1011 V/m) are respectively loaded along the different directions
(Figure b). The total
AIMD simulation time is 6 ps, with a time step of 0.5 fs. The target
accuracy for SCF convergence is 10–6 au. The MD
data are analyzed stepwise using our postprocessing procedure compiled
with fortran90.[4] The stable chemical bonds
and molecular components are identified by the bond length and lifetime
criteria. If the interaction distance of two atoms is smaller than
the critical value Rc, and they keep this
condition for more than 10 fs, these atoms are considered to be bonded.
Here, Rc is determined by the Mulliken
bond order of 0.3. Furthermore, any atoms connecting with each other
satisfied the above criteria belong to the same molecule.
Figure 1
Initial structure
of NH3BH3 (AB): (a) AB
molecule and (b) AB-2 × 2 × 3 supercell.
Initial structure
of NH3BH3 (AB): (a) AB
molecule and (b) AB-2 × 2 × 3 supercell.
Results and Discussion
Structure
Deformation and Electron Transfer
of AB under an External Electric Field
The chemical bond responses and electron transfer are first investigated
when AB is subjected to an external electric field (Eext) at 200 K. Two Eext intensities
of 0.0025 and 0.005 au are employed along the c-axis
direction (Figure b). Figure a displays
the bond length of B–N, B–H, and N–H bonds with
different Eext. When the Eext is applied along the c-axis negative direction (−Eext, from N atom to B atom), the B–H
and N–H bonds shrink with the maximum compression ratios of
0.27 and 0.20%, respectively, while the B–N bond is elongated
with a 0.53% increment relative to no Eext. On the contrary, when subjected to the positive direction electric
field (+Eext, from B atom to N atom),
the former two bonds are increased by 0.22 and 0.17%, respectively,
while the latter one is decreased by 0.70%. It illustrates that +Eext is beneficial to the activation of B–H
and N–H bonds, while −Eext is favorable to that of the B–N bond. Also, the B–N
bond is more sensitive to Eext, always
with a larger deformation degree. Figure b displays the charge transfer between BH3 and NH3 groups within AB. It can be seen that
+Eext can cause the charge transfer from
NH3 to BH3, significantly enhancing the N →
B dative bond. Inversely, the charge is transferred with the opposite
direction under −Eext, leading
to a weaker B–N bond.
Figure 2
Variations in (a) bond length of B–N,
B–H and N–H
bonds; (b) Mulliken charge of BH3 and NH3 groups
vs Eext.
Variations in (a) bond length of B–N,
B–H and N–H
bonds; (b) Mulliken charge of BH3 and NH3 groups
vs Eext.
Population Evolution of Main Chemical Bonds
and Key Species
The effect of Eext on AB dehydrogenation is studied at the
temperature of 2000 K with an electric field intensity of 0.005 au. Figure shows the population
evolutions of B–N, B–H, N–H bonds, and the free
H radical. During the first 0.2 ps (subgraph in Figure a), the rupture of the B–N bond is
more prone under −Eext, which indicates
the significant activation induced by an electric field. Correspondingly,
the breaking of the B–H and N–H bonds is inhibited.
These are consistent with the bond length analysis above. After that,
a less cleavage for the B–N bond is observed both in conditions
of +Eext and −Eext (Figure a). Their number even begins to unexpectedly increase from 1.2 ps,
while that for the condition of no electric field application still
decreases. It indicates that many new B–N bonds are formed
due to the electric field interaction. In contrast, the populations
of B–H and N–H bonds decrease continuously, which is
more considerable than that without Eext, demonstrating an enhanced effect on dehydrogenation. It is worth
noting that no matter whether the application of Eext, the breaking of the B–H bond is always more
favorable than that of the N–H bond, especially for the early
reaction stage (Figure b). It denotes that the B–H bond plays a more important role
in AB dehydrogenation, which is consistent with the reaction activity
reported in previous work.[33]
Figure 3
Population
evolutions of (a) B–N, (b) B–H, and N–H
bonds.
Population
evolutions of (a) B–N, (b) B–H, and N–H
bonds.The abnormal
population evolution of the B–N
bond (Figure a) is
illustrated again by analyzing the reorientation of the AB molecule
under a different electric field. As shown in Figure a, the backbone of the AB molecule is not
rigorously parallel to the direction of Eext at the beginning. The charged BH3 and NH3 groups
within AB are subjected to different electrostatic forces, which would
result in the corresponding rotation of the AB molecule as the arrows
represent. Obviously, the moment of force for the system subjected
to −Eext can result in more significant
molecular rotation than that under +Eext (see the snapshot at 0.15 ps shown in Figure b,c). As a result, most AB molecules gradually
modulate their orientations to meet the −Eext direction from B to N (see Figure , it is just equivalent to that under +Eext), and the B–N bond is correspondingly
enhanced. Besides, owing to the charged feature of B and N atoms in
their individual groups, the similar frameworks of H–Bδ+···δ−N–H
under +Eext and H–Nδ−···δ+B–H under −Eext are easily formed, which can promote the
fragments aggregation to produce poly-BN species. Correspondingly,
the volatile byproduct (such as NH3) is suppressed, and
the further dehydrogenation reaction may be enhanced.
Figure 4
Molecular orientation
distribution of AB at (a) 0 ps, (b,c) 0.15
ps, and (d,e) 0.75 ps.
Molecular orientation
distribution of AB at (a) 0 ps, (b,c) 0.15
ps, and (d,e) 0.75 ps.Figure displays the population
evolutions of the main species involved
in AB decomposition. AB molecules subjected to Eext are rapidly depleted within 6 ps, while that for the system
without Eext is relatively moderate. As
AB is consumed, many NH3BH2 fragments and H
radicals are produced, while only a little amount of NH2BH3 is observed (Figure b,c). It also confirms that the initial dehydrogenation
mainly starts with a B–H bond cleavage. The newly formed NH3BH2 is not stable, which would further dehydrogenation
to form NH2BH2 (Figure d). On the contrary, the H radicals almost
maintain a similar dynamic equilibrium after reaching their maximum,
but the positive effect of Eext was further
confirmed by exploring their different consumption rate in the formation
of H2 in the following section. In addition, although these
reactions are all promoted by the application of Eext, the trends of the population change for AB, NH3BH2, and NH2BH2 display the
distinct difference for each Eext. It
seems that the system with −Eext has a higher reaction activity at the first ∼2 ps, while
that with +Eext displays a faster reaction
rate after that. It will be further discussed accompanying the microscopic
reaction mechanism of H2 formation.
Figure 5
Population evolutions
of (a) AB, (b) NH2BH3 and NH3BH2, (c) H radical, (d) NH2BH2.
Population evolutions
of (a) AB, (b) NH2BH3 and NH3BH2, (c) H radical, (d) NH2BH2.
Initial H2 Release Mechanism of
AB Thermolysis under an External Electric Field
Figure a shows the population
evolutions of H2 molecules within 6 ps. The formation of
H2 under Eext is more favorable
than that without Eext, confirming the
considerably enhanced effect of Eext on
dehydrogenation. A reversal phenomenon of H2 formation
is observed similar to the AB and NH2BH2 analyzed
above. More H2 is produced under −Eext at the first 1.5 ps, while an obvious increment of
H2 is observed under +Eext after
that. To uncover the intrinsic reason, the dehydrogenation reaction
pathways at individual time periods are investigated. The corresponding
reaction frequencies are marked in Figure a. The heteropolar dihydrogen bond interaction
is still the primary dehydrogenation mechanism for AB decomposition,
which can be summarized with three typical models: (I) the interaction
between −NBH3 and H3NB–, (II)
dominated by BH4, and (III) dominated by NH4. Also, the initial formation of H2 mainly occurs with
model-I. As shown in Figure b,c, the framework of N–Hδ+···δ−H–B under +Eext and the framework of B–Hδ−···δ+H–N under −Eext are ready to be formed, and the interaction between corresponding
H atoms is enhanced, which is really beneficial for H2 liberation.
As shown by the analysis in Section (Figure ), the molecule rotation caused by the moment of force
under −Eext is more significant
at an early stage. The framework of B–Hδ−···δ+H–N is preferential to
form, which would directly induce a faster and earlier formation of
H2. However, after 0.75 ps (Figure d), many AB molecules complete their reorientation,
and the initial rotation advantage is not considerable. Owing to the
coupling interaction of the temperature and electric field under +Eext, the molecular orientation deviates from
the horizontal axis (Figure e). Also, the following molecule reorientation easily promotes
the formation of the N–Hδ+···δ−H–B framework, resulting in a fast formation
of H2 (Figure a). Despite that, the equivalent effects of different electric
fields on the initial dehydrogenation reaction through the dihydrogen
bond framework are confirmed, which mainly derive from the molecular
reorientation as shown in Figure .
Figure 6
(a) Population evolutions of H2 vs reaction
time (frequencies
of dehydrogenation pathways listed in the square brackets); a typical
schematic diagram of the H2 generation mechanism under
+Eext (b) and −Eext (c) (the yellow balls represent H atoms involved in
the dehydrogenation reaction, and their corresponding distance is
labeled with green color).
(a) Population evolutions of H2 vs reaction
time (frequencies
of dehydrogenation pathways listed in the square brackets); a typical
schematic diagram of the H2 generation mechanism under
+Eext (b) and −Eext (c) (the yellow balls represent H atoms involved in
the dehydrogenation reaction, and their corresponding distance is
labeled with green color).In addition, the initial dihydrogen bond frameworks are mainly
produced between NH3BH3, NH2BH3, and NH3BH2 molecules, leading to the
accompanying formation of H2 and NH2BH2. That is why the population evolution trends of them almost keep
consistent with each other (Figures c and 6a). As the reaction proceeds,
many active radicals of NH4 and BH4 are formed.
The special dihydrogen bond interactions dominated by them become
the main reaction pathways for H2 liberation (Figure a). Also, the BH4 groups obviously possess a higher reaction activity than
that of NH4 in this dehydrogenation process, also identifying
the more important role of the B–H bond. Besides, we also observe
another reaction pathway with H radical adsorbed on B ends to form
the pentacoordinate boron-containing species, such as BH5. The extra H combination obviously activates the adjacent B–H
bond. Accordingly, two B–H bonds are elongated and further
break to release the H2 molecule. Although a similar reaction
pathway is also observed in the previous theoretical study under shock
loading,[4] the H radical mainly derives
from N ends through a heteropolar dihydrogen bond interaction in this
work. It further confirms the importance of the heteropolar dihydrogen
bond under Eext.
Reaction
Dynamics Properties for AB Thermal
Decomposition
To reveal the reaction dynamics properties,
we add the other three simulations for AB thermolysis under 2200 K
with a relevant Eext. The results show
that the population evolution for main species always complies with
a typical exponential form. The numbers of AB molecules and B–N,
B–H, and N–H bonds can be fitted with formula in their dissociation reaction
stage, while that for H2 formation can be fitted with formula , respectively.Here, parameter b is
just the reaction rate constant when subjected to the first-order
model[34] and can be directly determined
by an exponential fitting. Figure a,b displays an example for the curve fitting of the
populations of AB and H2 without an electric field. It
shows a good agreement between the fitting curve and the original
data. To further obtain the kinetics characteristics, we employ the
classical Arrhenius equation (k = A·exp(−Ea/RT)) to fit the reaction rate constant. The individual reaction activation
energies are obtained by linear fitting of its natural logarithm form
(ln(k) = ln(A) – Ea/RT) and are listed in Table . The apparent activation
energies with no application of electric field calculated in our study
are from 18.42 to 30.17 kcal·mol–1, which are
comparable with the previous experimental results (21.98 to 35.24
kcal·mol–1) proposed by Gangal and Sharma[35] However, a significant reduction for all the
energy barriers are detected when subjected to Eext, which confirms a definite enhancement of the dehydrogenation
kinetics. No significant distinct is observed with the different orientations
of Eext, which may be ascribed to the
similar reaction form deriving from the molecular rotation and reorientation,
as discussed in Section . Among them, the apparent activation energy for AB decomposition
is reduced from 18.42 to around 15 kcal·mol–1 with Eext, while that for H2 formation decreases from 20.40 to about 16 kcal·mol–1. The breaking of the B–H bond has the approximate values
with the former two, indicating a much closer relationship with H2 liberation. However, the cleavage of the N–H bond
requires overcoming much higher energy barriers of 30.17, 21.09, and
19.62 kcal·mol–1 for different conditions.
It indicates that N–H breaking may be the rate control step
for H2 formation.
Figure 7
Exponential fitting for populations of ammonia
borane (a) and H2 (b) involved in AB thermolysis.
Table 1
Apparent Activation Energies for Different
Reactions in AB Thermolysis
Ea/(kcal·mol–1)
AB
B–N
B–H
N–H
H2
electric field (a.u.)
0
18.42
21.32
18.98
30.17
20.40
0.005
15.62
18.51
15.46
21.09
16.36
–0.005
14.86
18.06
14.38
19.62
16.16
Exponential fitting for populations of ammonia
borane (a) and H2 (b) involved in AB thermolysis.
Conclusions
In summary, we systematically investigated the effect of an external
electric field (Eext) on AB dehydrogenation
using the AIMD method. The rupture of the N–B bond is inhibited,
and more H radicals are formed when subjected to +Eext at the early stage, while it does the opposite under
−Eext. As the coupling interaction
of the temperature and electric field, the significant molecular rotation
promotes the formation of the H–Bδ+···δ−N–H framework under +Eext and the H–Nδ−···δ+B–H framework under −Eext, which are beneficial for the fragment aggregation
and suppress the formation of the volatile byproducts. More importantly,
the positive effect of Eext on AB dehydrogenation
is revealed by analyzing the microscopic reaction mechanism. The H2 molecule is favorably produced by the formation of the framework
of N–Hδ+···δ−H–B under +Eext or B–Hδ−···δ+H–N
under −Eext. Also, the BH4 and NH4 fragments would dominate the H2 liberation
after the AB molecule rupture. During the whole process, the breaking
of the B–H bond is always more favorable than that of the N–H
bond, no matter whether the application of Eext. Besides, the obvious enhanced effect of the electric field
on dehydrogenation kinetics is detected, with the apparent activation
energy for H2 formation reduced from 20.40 to around 16
kcal·mol–1. Our work provides a deep understanding
of the enhancement of AB dehydrogenation properties under an electric
field, which would promote its practical application in hydrogen storage.