Peter Ngene1, Angeloclaudio Nale1, Tamara M Eggenhuisen1, Martin Oschatz1, Jan Peter Embs2, Arndt Remhof3, Petra E de Jongh1. 1. Inorganic Chemistry and Catalysis, Debye Institute for Nanomaterials Science, Utrecht University , Universiteitsweg 99, 3584 CG Utrecht, The Netherlands. 2. Laboratory for Neutron Scattering, Paul Scherrer Institute , CH-5232 Villigen PSI, Switzerland. 3. Materials for Energy Conversion, Swiss Federal Institute for Materials Science and Technology, Empa , CH-8600 Dübendorf, Switzerland.
Abstract
LiBH4 is a promising material for hydrogen storage and as a solid-state electrolyte for Li ion batteries. Confining LiBH4 in porous scaffolds improves its hydrogen desorption kinetics, reversibility, and Li+ conductivity, but little is known about the influence of the chemical nature of the scaffold. Here, quasielastic neutron scattering and calorimetric measurements were used to study support effects for LiBH4 confined in nanoporous silica and carbon scaffolds. Pore radii were varied from 8 Å to 20 nm, with increasing confinement effects observed with decreasing pore size. For similar pore sizes, the confinement effects were more pronounced for silica than for carbon scaffolds. The shift in the solid-solid phase transition temperature is much larger in silica than in carbon scaffolds with similar pore sizes. A LiBH4 layer near the pore walls shows profoundly different phase behavior than crystalline LiBH4. This layer thickness was 1.94 ± 0.13 nm for the silica and 1.41 ± 0.16 nm for the carbon scaffolds. Quasi-elastic neutron scattering confirmed that the fraction of LiBH4 with high hydrogen mobility is larger for the silica than for the carbon nanoscaffold. These results clearly show that in addition to the pore size the chemical nature of the scaffold also plays a significant role in determining the hydrogen mobility and interfacial layer thickness in nanoconfined metal hydrides.
LiBH4 is a promising material for hydrogen storage and as a solid-state electrolyte for Li ion batteries. Confining LiBH4 in porous scaffolds improves its hydrogen desorption kinetics, reversibility, and Li+ conductivity, but little is known about the influence of the chemical nature of the scaffold. Here, quasielastic neutron scattering and calorimetric measurements were used to study support effects for LiBH4 confined in nanoporous silica and carbon scaffolds. Pore radii were varied from 8 Å to 20 nm, with increasing confinement effects observed with decreasing pore size. For similar pore sizes, the confinement effects were more pronounced for silica than for carbon scaffolds. The shift in the solid-solid phase transition temperature is much larger in silica than in carbon scaffolds with similar pore sizes. A LiBH4 layer near the pore walls shows profoundly different phase behavior than crystalline LiBH4. This layer thickness was 1.94 ± 0.13 nm for the silica and 1.41 ± 0.16 nm for the carbon scaffolds. Quasi-elastic neutron scattering confirmed that the fraction of LiBH4 with high hydrogen mobility is larger for the silica than for the carbon nanoscaffold. These results clearly show that in addition to the pore size the chemical nature of the scaffold also plays a significant role in determining the hydrogen mobility and interfacial layer thickness in nanoconfined metal hydrides.
Lithium borohydride is an ionic compound consisting of Li+ cations and [BH4]− anions, which is
of interest for energy storage and conversion.[1−5] It contains 18.5 wt % hydrogen and thus is a promising
material for solid-state hydrogen storage.[1] However, the hydrogen is released above 673 K in multiple steps,
whereas low hydrogen desorption temperatures and fast kinetics are
required for integration with low-temperature fuel cells. At room
temperature, crystalline LiBH4 has an orthorhombic structure.
This low-temperature phase transforms to a hexagonal phase at about
383 K. Interestingly, Li+ ions in the hexagonal (high temperature)
phase of LiBH4 are highly mobile, resulting in an ionic
conductivity of 10–3 S/cm at 390 K; therefore, this
material is also considered to be promising as a solid-state ionic
conductor for Li ion batteries.[4] However,
for battery applications, high ionic conductivity at room temperature
is required, and it has recently been shown that this might be achieved
by partial anion substitution or nanoconfinement.[5,6]It is well known that nanosized materials have physical and chemical
properties different from those of the corresponding macrocrystalline
materials. The special properties of nanomaterials originate from
their high surface to volume ratio.[7] For
metal hydrides, the effects of nanosizing include a reduction of hydrogen
diffusion distances and increased specific surface area so that the
rate of hydrogen exchange is increased. To sustain the properties
of nanoparticles, their growth under operating condition must be avoided,
for instance, by confining the hydride nanoparticles in porous materials.
These are usually carbon materials because of their chemical inertness
and high-temperature stability. Carbon materials are also known to
have a high thermal conductivity, which is beneficial for heat management
during hydrogen cycling. On the other hand, oxidic porous materials
such as silica are promising for confining LiBH4 for solid-state
battery electrolytes, as low electronic conductivity is a prerequisite
for electrolytes in all solid-state batteries.[5]For LiBH4, nanoconfinement improves the hydrogen
sorption
kinetics as well as reversibility. Vajo et al.[3] reported that nanoconfined LiBH4 exhibits low activation
energy for hydrogen desorption. Upon cycling, the confined phase has
a higher hydrogen cycling efficiency than does nonconfined LiBH4. A study by Cahen
et al.,[2] using SBA-15 templated ordered
porous carbon materials as scaffolds, shows that nanoconfined LiBH4 starts to release hydrogen at 473 K and desorbs about 3 wt
% hydrogen within 1.5 h at 573 K, which is only 0.5 wt % for macrocrystalline
LiBH4.Another important effect of nanoconfinement
on LiBH4 is the increased [BH4]− and Li+ mobility.[8] Ionic conduction
reaches
0.1 mS/cm at room temperature for LiBH4 confined in silica
materials, more than 3 orders of magnitude higher than for macrocrystalline
LiBH4.[5] Nuclear magnetic resonance
(NMR) measurements on carbon-confined LiBH4 by Shane et
al.[9] showed fast hydrogen mobility for
the confined LiBH4. However, the NMR signal also showed
two distinct fractions of LiBH4: one with a significantly
higher mobility and another with mobility close to that of bulk LiBH4. Quasielastic neutron scattering (QENS) confirmed that LiBH4 confined in carbon scaffolds comprises highly mobile [BH4]− units. It was proposed that this could
be related to the strain developed during the confinement procedure.[10] A detailed QENS study by Verdal et al.[11] identified the nature of the motion of the [BH4]− units and showed two fractions of LiBH4 with different mobilities. The mobile fraction increased
with decreasing pore size, leading to the proposal of a core–shell
model with a mobile shell thickness of about 0.8–0.9 nm at
360 K. Using differential scanning calorimetric (DSC) studies, Liu
et al. showed that confinement in carbon pores lowers the solid–solid
phase-transition temperature.[12,13] An NMR investigation
by Verkuijlen et al.[8] was, as far as we
are aware, the first to study LiBH4 confined in mesoporous
silica instead of carbon. It showed two distinctly different phases;
a phase with high Li+ and hydrogen mobility and another
with Li+ and hydrogen mobility that resembles that of macrocrystalline
LiBH4.Herein, we use ordered mesoporous silica and
carbon scaffolds to
systematically study the impact of pore size, pore geometry, and the
chemical nature of scaffolds on confinement effects for nanoconfined
LiBH4. By combining hydrogen dynamics studies with calorimetric
analysis, we obtain quantitative information on the two different
fractions of LiBH4 that exist in the nanocomposites. This
study reveals that both the pore size and the nature of the scaffold
have a significant influence on the confinement effects. The effects
are more pronounced for SiO2 than for carbon materials
with similar pore sizes and pore geometry.
Experimental
Section
Sample Preparation and Characterization
Ordered mesoporous silica, SBA-15, with a 1D pore system was synthesized
according to the procedure described by Zhao et al.[14] using block copolymerpluronic P123 as a template and tetraethylorthosilicate
as the silica source. Different pore sizes were obtained by changing
the aging time and temperature during the hydrothermal treatment (overview
in Table ). The porous
carbon materials were carbon aerogels that were synthesized through
resorcinol-formaldehyde condensation catalyzed by sodium carbonate
as described by Pekala et al.[15] The pore
size was tuned by changing the organic to water ratio during the gel
synthesis.
Table 1
Textural Properties of the Porous
Scaffolds and the LiBH4 and Porous Scaffold Nanocomposites
rp
Vpa
Vmicrob
SBET
LiBH4
LiBH4extrac
confined
fraction of pores filled
sample
nm
cm3/g
cm3/g
m2/g
wt %
wt %
wt %
%
SiO2-3.3
3.3
0.28
0.05
311
18.7
4.2
14.5
92
SiO2-3.6
3.6
0.37
0.08
406
13.2
0
13.2
70
SiO2-4.2
4.2
0.65
0.10
657
27
0.8
26.2
87
SiO2-4.4
4.4
0.62
0.09
625
23
0
23
80
SiO2-5.9
5.9
0.77
0.03
475
30
3.7
26.3
78
SiO2-6.1
6.1
0.77
0.04
500
38
15.2
22.8
67
C-3.1
3.1
0.53
0.17
612
27.8
2.9
24.9
98
C-3.8
3.8
0.59
0.17
571
17.8
0
17.8
67
C-5.6
5.6
0.77
0.16
560
22.3
0
22.3
69
C-20
20
1.37
0.19
592
37
0.2
36.8
77
Total pore volume measured at p/p0 = 0.95 for silica scaffolds
and at p/p0 = 0.99 for
carbon scaffolds.
Microporous
volume determined from
the t-plot
Amount of LiBH4 outside
the pores as measured by DSC and expressed as the weight percentage
of the nanocomposites.
Total pore volume measured at p/p0 = 0.95 for silica scaffolds
and at p/p0 = 0.99 for
carbon scaffolds.Microporous
volume determined from
the t-plotAmount of LiBH4 outside
the pores as measured by DSC and expressed as the weight percentage
of the nanocomposites.Before
melt infiltration with LiBH4, support porosity
was measured with nitrogen physisorption performed at 77 K using a
Micromeritics Tristar 3000. The total pore volume was derived from
the absorption branch of the nitrogen isotherms at p/p0 = 0.95. The pore size distributions
of the SiO2 were calculated from the adsorption branch
of the isotherm by the NL-DFT method using the cylindrical pore kernel.
The values are derived from the peak of the pore size distribution.
Typically for pore sizes <7 nm, the NL-DFT values are more accurate,
and about 1 nm larger, than those obtained via the BJH analysis.[12] The pore size distributions of carbon samples
were calculated from the desorption branch using the BJH method with
the carbon black STSA equation. The surface areas were calculated
using the BET equation.Melt infiltration[16] was employed to
confine LiBH4 in the porous scaffolds with loadings corresponding
to full pore filling. The details of the melt infiltration procedure
have been previously reported.[17] The SiO2 scaffolds were dried prior to sample synthesis under an Ar
flow at 473 K for at least 24 h to remove possible residual water.
The carbon scaffolds were dried in a hydrogen flow at 873 K for 5
h to remove oxygen-containing groups and to subsequently passivate
the resulting dangling bonds with hydrogen as well as to gasify the
most reactive fraction of the carbon material.[18]The preparation of nanocomposites requires good contact
between
LiBH4 and the scaffolds, and this was achieved by thoroughly
mixing them at least for 10 min. After that, the physical mixture
was transferred into a graphite sample holder placed in a stainless
steel autoclave and initially pressurized to 50 bar of H2. The pressure is important to prevent partial decomposition during
heating.[14] The mixture was heated at 5
K/min to 573 K, which is slightly above the LiBH4 melting
temperature, and remained at that temperature for 25 min to allow
the melt infiltration of LiBH4 into the pores.X-ray
diffraction patterns of the samples were recorded using a
Bruker D8 Advance with Co Kα radiation, λ = 1.78897 Å.
The XRD samples were placed on an airtight sample holder to prevent
sample oxidation. Microstructural analysis was performed using an
FEI Tecnai 20 transmission electron microscope (TEM) with a field-emission
gun operated at 200 kV. The samples were deposited onto carbon holey
copper grids (200 mesh) by dipping the grid in a ground powder. Typically,
during the insertion of the sample holder into the microscope column,
the sample was exposed to air for about 2–5 s.
Differential Scanning Calorimetry
Differential scanning
calorimetric (DSC) measurements were performed
with a high-pressure DSC from Mettler Toledo (HP-DSC1). The temperature
and the heat flow were calibrated using certified gallium, indium,
and zinc references. The nanocomposites (10–20 mg) were placed
in a 40 μL hermetically sealed aluminum pan. The data were recorded
while heating and cooling between 305 and 565 K at 5 K/min and 20
bar of H2. Each measurement involved two to three cycles
to check the sample stability and to verify the reproducibility. The
thermograms were processed with STARe software to determine the transition
temperatures and the enthalpies. The transition temperature is the
extrapolated onset temperature, an intersection of the tangential
line drawn through the point of maximum slope and the baseline. The
enthalpy is determined from the integration of the phase-transition
peak. The enthalpy data of the nanocomposites were compared to those
of the macrocrystalline LiBH4 measured under the same conditions.
The error in the measured temperature is less than 1°, and that
of the measured enthalpy is in the range of 6–8%.[5] To determine the confined fraction of LiBH4, the amount of crystalline, extraporous LiBH4 was
measured by comparing the experimental enthalpy of the solid–solid
phase transition at the bulk transition temperature for the nanocomposites
with that of macrocrystalline LiBH4 measured under the
same conditions. The amount of the confined phase is the total amount
of LiBH4 in the sample minus the amount of crystalline
and hence extraporous LiBH4. When the extraporous LiBH4 peak was not observed, all of the LiBH4 was assumed
to be confined.
Quasielastic Neutron Scattering
Quasielastic
neutron scattering (QENS) measurements were carried out using time-of-flight
(TOF) neutron spectrometer FOCUS located at continuous spallation
source SINQ at the Paul Scherrer Institute, Switzerland.[19,20] Isotopically enriched 11B (99.5%) samples (chemical purity
98%), purchased from Katchem, were used to avoid the strong neutron
absorption by 10B, present in natural boron. The samples
were loaded in lead-sealed, double-walled, hollow cylindrical containers.
The diameter of the cylindrical container was 10 mm, and the wall
distance (i.e., the sample space) was 1 mm. Incident neutrons were
prepared with a wavelength of λi = 4 Å, corresponding
to an incident energy of Ei = 5.11 meV
and an incident velocity of vI = 989 m/s.
The scattering intensity I(2θ, t) is recorded as a function of scattering angle 2θ and time
of flight t. Data reduction is carried out using
data analysis and visualization environment DAVE[21] to convert the instrument-specific I(2θ, t) to the scattering function S(Q, ω). Thereby, the scattering intensity is expressed
as a function of the momentum transfer ℏQ =
ℏki – ℏkf, where ki and kf are the incident and scattering wave vectors, and as
a function of the energy transfer ℏω = Ei – Ef, where Ei and Ef are the
incident and scattering neutron energies, respectively. Because of
the large incoherent scattering cross section σinc of hydrogen as compared to those of lithium, carbon, and boron,
we attribute all scattering intensity to the incoherent scattering
of hydrogen. Hence, the contributions of other species, coherent scattering,
and multiphonon events are neglected. In bulk LiBH4, rapid
reorientations of the [BH4]− anions are
responsible for the quasi-elastic signal. At the instrumental settings
used, the energy resolution defining the width of the elastic line
equals ΔE= 0.2 meV. Data acquisition and treatment
were carried out as described earlier,[10,22] and the spectra
were binned in a range of Q values of 0.5 Å–1 < Q < 2.5 Å–1. The resulting QENS spectra were analyzed using general purpose
curve-fitting utility PAN, following the procedure described in the
previous publication.[10]
Results and Discussion
Structural Properties
Table gives an
overview of the textural
properties of the supports as well as the properties of the nanocomposites,
including the loading and the amount of confined LiBH4 in
each sample, i.e., the fraction of pores that was filled. We tuned
the pore radii from 3.3 to 6.1 nm and from 3.1 to 20 nm for the silica
and carbon materials, respectively. The ordered mesoporous silicaSBA-15 materials comprise uniform parallel pores connected by intrawall
porosity. The porosity of the carbon materials originates from interparticle
space and is dominated by carbon particles of 5–10 nm in size,[23] as confirmed by the transmission electron micrographs
of these supports (Figure S1). The pore
volumes of the supports are between 0.3 and 0.8 cm3/g for
silica materials and between 0.53 and 1.37 cm3/g for the
carbon scaffolds, and this enables us to make samples with confined
LiBH4 loading ranging from 13.2 to 36 wt % with 60–100%
pore volumes filled with LiBH4. The high carbon pore filling
(>70%) is achieved by the proper mixing of LiBH4 and
the
scaffolds and by multiple melt infiltration (at least two sessions
of melting and cooling under hydrogen pressure).
Size- and Interface-Dependent Hydrogen Dynamics
Neutron
scattering is a powerful tool to study the dynamics of
complex hydrides because of the incoherent neutron scattering cross-section
of hydrogen. Therefore, the effects of pore size and the nature of
the scaffold on the hydrogen dynamics of our nanoconfined LiBH4 were investigated using QENS. QENS probes the transfer of
small amounts of energy compared to the neutron incident energy. These
small energy transfers are caused by energy redistributions in the
samples originating from atomic translations or rotations. The QENS
spectra of the macrocrystalline (bulk) LiBH4 recorded between
300 and 500 K (Figure A)[10] show that the patterns changed significantly
above 380 K. This is a clear indication of the structural phase transition
of LiBH4 at this temperature. The low-temperature phase
is characterized by a broad inelastic feature with distinct structure
at around 1.5 ms. The elastic line is clearly separated from the inelastic
part of the spectrum by an intensity minimum, indicative of a low
density of states at low energy transfers. Above the phase-transition
temperature, the separation between the elastic and inelastic parts
of the spectrum disappears and the inelastic part of the spectrum
shows no distinct features. In the HT phase, the quasielastic component,
seen as a broad background around the elastic line, broadens, and
the intensity at the base of the elastic line drops with increasing
temperature (with the arrow in Figure pointing to this feature).[10,22]
Figure 1
Time-of-flight
spectra for bulk LiBH4 (A) and LiBH4 confined
in carbon (B) and SiO2 (C) with pore
radii of 5.6 and 5.9 nm, respectively.
Time-of-flight
spectra for bulk LiBH4 (A) and LiBH4 confined
in carbon (B) and SiO2 (C) with pore
radii of 5.6 and 5.9 nm, respectively.Figure B,C
shows
the time-of-flight patterns for LiBH4 confined in carbon
and silica (SBA-15) scaffolds with pore radii of 5.6 and 5.9 nm, respectively.
Compared to macrocrystalline LiBH4, the broadening of the
base of the elastic line is less pronounced. Also, the sudden shift
of the spectra with temperature, representative of the structural
phase transition, is less apparent for the nanoconfined LiBH4, in line with previous results based on NMR.[9] These results are also in line with previous QENS measurements that
showed that the structural phase transition of LiBH4 was
significantly suppressed when the compound was confined in high-surface-area
nanoporous graphite (HSAG) with an average pore size of between 2
and 3 nm.[10]Even though, comparing
the silica and carbon materials, the spectra
look rather similar at first glance, small but distinct differences
are present. In the case of the silica (Figure C), all high-temperature spectra coincide
at the base of the elastic line. In contrast, for the carbon case
(Figure B) there is
a clear temperature dependence of the quasielastic broadening, although
it is less pronounced than for macrocrystalline LiBH4 (Figure A). Therefore, LiBH4 confined in carbon displays intermediate behavior between
macrocrystalline LiBH4 and LiBH4 confined in
SiO2. Because the materials have very similar pore sizes,
we can conclude from these observations that silica materials exert
stronger confinement effects on LiBH4 than do carbon scaffolds.Figure A–C
shows the time-of-flight spectra of a series of LiBH4/SiO2 nanocomposites with different pore sizes. A close look at
the spectra reveals that at high temperatures the signature of macrocrystalline
LiBH4 is less pronounced for the smaller pore radii. The
temperature at which the signature of the structural phase transition
disappears decreases with decreasing SiO2 pore size: the
TOF spectrum of SiO2-5.9 shows the signature of the high-temperature
phase at ≥380 K, whereas for SiO2-4.4 and SiO2-3.6, the highest temperatures at which it is observed are
350 and 333 K, respectively. This means that the temperature at which
the structural transition for nanoconfined LiBH4 occurs
decreases with decreasing pore radius. Hence, the hydrogen dynamics
of nanoconfined LiBH4 are also influenced by the pore size
of the silica scaffold material.
Figure 2
TOF spectra for LiBH4 confined
in SiO2 with
pore radii of (A) 5.9, (B) 4.4, and (C) 3.6 nm.
TOF spectra for LiBH4 confined
in SiO2 with
pore radii of (A) 5.9, (B) 4.4, and (C) 3.6 nm.The QENS results suggest the presence of at least two distinct
fractions of LiBH4 in the silica scaffold; however, the
present data do not allow us to unambiguously deconvolute the measured
QENS spectra into two Lorentzian contributions. Hence, we modeled
the spectra using an elastic peak of width Γel and
an integrated area Iel and a single Lorentzian
curve with a width Γqe and an integrated area Iqe for the quasi-elastic broadening. The width
Γel of the elastic line was fixed to the width of
the measured elastic line of a vanadium standard sample, corresponding
to the instrumental resolution.In macrocrystalline LiBH4, the phase transition is evidenced
by a sudden change in the quasielastic broadening and a distinct change
in activation energy between 360 and 390 K. All quasi-elastic broadenings
measured on the confined samples lie in between the data for macrocrystalline
LiBH4. With decreasing pore size, the values deviate more
and more from the bulk values. The deviation from the bulk behavior
is larger for the carbon in the HT phase, whereas for the SiO2 it is larger in the LT phase. In other words, compared to
carbon, SiO2 more strongly favors disordered, mobile, high-temperature-like
behavior at room temperature. At low temperature, Γqe increases with decreasing pore size, indicative of increasing mobility
due to confinement. The hydrogen mobility at low temperatures in the
confined samples is much higher than for macrocrystalline LiBH4, and the smaller the pore sizes, the stronger the deviation
from the bulk value.Temperature dependence
of the quasielastic broadening for macrocrystalline
LiBH4 and LiBH4 confined in SiO2 and
carbon with different pore sizes.
Impact of Confinement on the Phase-Transition
Temperature
The hydrogen mobility as measured by quasi-elastic
neutron scattering shows clear differences between LiBH4 nanoconfined in SiO2 and in C matrices, indicating that
the confinement effects are influenced by the chemical nature of the
scaffold. A quantifiable aspect of confinement is the change in the
thermodynamic stability and hence the phase-transition temperatures
and enthalpies. Because the LiBH4 phase transitions involve
a significant amount of enthalpy, calorimetry is a powerful option
for investigating the phase-transition processes. Figure illustrates DSC measurements
of macrocrystalline LiBH4 and LiBH4 confined
in 3.1 nm pores of a carbon matrix. During heating, the low-temperature
solid phase transforms into a high-temperature phase with an onset
temperature of 386 K for the macrocrystalline LiBH4. Further
heating leads to the melting at 558 K. During cooling, liquid LiBH4 starts to solidify at a slightly lower temperature than for
melting.
Figure 4
DSC thermograms of bulk LiBH4 (above) and the nanoconfined
LiBH4 sample (LiBH4/C-3.1) (below).
DSC thermograms of bulk LiBH4 (above) and the nanoconfined
LiBH4 sample (LiBH4/C-3.1) (below).For the confined LiBH4, the DSC shows
two additional
peaks; one below the solid–solid phase transition and the other
below the melting temperature. If all LiBH4 is confined
in the pores, then only the depressed peaks belonging to the confined
phase were observed, as shown for some of the nanoconfined samples
(e.g., samples SiO2-4.4 and C-3.8) in Figures A and 6A. The peaks of the confined phase are broadened, and the intensity
of the peaks corresponding to features of the bulk is reduced. Another
important point we found with DSC is that the phase transitions are
fully reversible under hydrogen pressure; we found no indication of
side reactions with either the carbon or the silica scaffolds. Table gives an overview
of the calorimetric results for LiBH4 confined in silica
and carbon materials with different pore sizes. The table lists the
onset temperatures, the depression in the phase transition, and the
enthalpies of the solid–solid phase transition and melting.
The onset temperatures and the enthalpies depend on the pore radius.
The melting temperature is shifted more than 100° down for LiBH4 confined in 3.3 nm SiO2 pores.
Figure 5
Melting-phase transition
of nanoconfined LiBH4. (A)
DSC thermograms of LiBH4/SiO2 (upper panel)
and LiBH4/C (lower panel). (B) Temperature depression as
a function of the inversed pore radius. Solid lines are a straight
line fit. The bulk melts at 559 K and freezes at 558 K.
Figure 6
Solid–solid phase-transition temperatures of confined LiBH4: (a) DSC thermograms of LiBH4/SiO2 during
heating (upper) and LiBH4/C (lower). (b) Onset of the phase-transition
temperature as a function of inverse pore radius (right). Solid lines
are linear fits.
Table 2
Onset Temperature and Enthalpy for
the Solid–Solid Phase Transition and Depression in the Melting
Temperature
Tonset, solid–solid
ΔTsolid–solid
ΔHsolid–solida
ΔTm
ΔHma
sample
K
K
kJ/mol
K
kJ/mol
SiO2-3.3
337.7
48.9
1.29
103
1.54
SiO2-3.6
337.0
49.6
0.66
102
0
SiO2-4.2
354.7
32.0
1.52
85
1.79
SiO2-4.4
353.0
33.6
1.23
81
2.03
SiO2-5.9
359.0
27.6
1.70
61
1.12
SiO2-6.1
364.4
22.2
1.80
45
1.20
C-3.1
360.0
26.6
1.27
71
1.35
C-3.8
367.7
18.9
1.77
53
2.63
C-5.6
373.7
12.9
2.37
35
4.27
C-20
382.4
4.25
2.98
18
3.91
mc LiBH4b
386.6
0
4.18
0
7.60
The enthalpies
were calibrated using
macrocrystalline (mc) LiBH4 as a reference.
Theoretical ΔH values were taken from the literature.[24] The raw data measured values were 2.26 and 4.60 kJ/mol for the solid–solid
transition and melting, respectively
Melting-phase transition
of nanoconfined LiBH4. (A)
DSC thermograms of LiBH4/SiO2 (upper panel)
and LiBH4/C (lower panel). (B) Temperature depression as
a function of the inversed pore radius. Solid lines are a straight
line fit. The bulk melts at 559 K and freezes at 558 K.The enthalpies
were calibrated using
macrocrystalline (mc) LiBH4 as a reference.Theoretical ΔH values were taken from the literature.[24] The raw data measured values were 2.26 and 4.60 kJ/mol for the solid–solid
transition and melting, respectivelySolid–solid phase-transition temperatures of confined LiBH4: (a) DSC thermograms of LiBH4/SiO2 during
heating (upper) and LiBH4/C (lower). (b) Onset of the phase-transition
temperature as a function of inverse pore radius (right). Solid lines
are linear fits.The DSC thermograms of
melting behavior of LiBH4/SiO2 and LiBH4/C are shown in Figure A. The size dependence of the melting temperatures
was analyzed by plotting ΔT as a function of
1/r, as shown in Figure B. It can be seen that the melting-point
depression is inversely proportional to the pore radius of both the
SiO2 and C scaffolds.It is generally accepted that
a shift in melting temperature is
related to size and interface effects, and it is typically ascribed
to the increasing contribution of interfacial energy with decreasing
size.[25−27] The relationship between the depressed melting temperature
and the particle radius is often described by the Gibbs–Thomson
relation, i.e., eq ,
where the ratio between the depressed temperature (ΔT) and the temperature of the bulk LiBH4 (T0) scales with the interface energy (Δγ)
and inverse pore radius (rp).In eq , the enthalpy of the phase transition, ΔH, is assumed to be independent of the particle size. This
simplified
description also assumes that the molar volume, Vm, is the same for both phases involved in the transition.
In some cases, the application of the Gibbs–Thomson relation
requires a correction for an interfacial layer thickness, t, a fraction of the material that does not participate
in the phase transition. For example, for ice melting in nanopores
the layer thickness is on the order of 0.4 nm.[28] To estimate interface energies from our experimental data,
the observed temperature depressions were fitted using eq . Assuming no inert interfacial
layer (t = 0), the resulting interface energy is
0.018 J/m2. If including an inert layer, the surface energy
is 0.015 J/m2 and t is 0.6 nm. This gives
a first indication of the interfacial energy, but we show in the next
section how the interfacial energy can be determined more accurately.
It is interesting to observe that the calculated effective interfacial
energy for the confined samples is about an order of magnitude lower
than the surface energy of macrocrystalline LiBH4, ∼0.12
J/m.[29,30] This points to a strong favorable interaction
between the silica pore walls and the nanoconfined LiBH4, resulting in a much lower effective interfacial energy and hence
a high stability of the confined LiBH4.The impact
of the size on the solid–solid phase-transition
temperatures has never been investigated in detail, especially for
silica scaffolds; hence, we did a detailed study on these effects
for the carbon and silica materials. For LiBH4 confined
in silica, the depression is largest for the smallest pore radius
and up to 49° for SiO2 with 3.3 nm pores (Figure A, upper frame).
As can be seen in Figure A (lower frame), for carbon scaffolds the impact of pore size
on the solid–solid depression is much smaller than for the
silica scaffolds. For example, the depression was 49 K for SiO2-3.3 and only 27 K for C-3.1 even though they have similar
pore radii. The differences are clearly seen in Figure B in which the phase-transition temperature
shifts are plotted as a function of 1/r.
Comparing Silica and Carbon Scaffolds
In all cases,
the measured enthalpy of the solid–solid phase
transition of the confined phase (Table ) decreases with decreasing pore size of
the scaffold. Decreasing transition enthalpies of confined phases
have also been observed for water,[31] organic
materials,[32] and metals.[33]Figure a shows the measured enthalpies normalized to that of the macrocrystalline
LiBH4. If we assume a core–shell model such as that
proposed by Verdal et al.,[11] namely, that
the measured enthalpy is due to material in the core of the pores
that undergoes a phase transition (and hence material close to the
pore wall does not contribute) and cylindrical pore geometries, then
the relative enthalpy dependence on the pore radius (rp) can be expressed by eq , where t is the interfacial thickness.Fitting
the data using eq results
in an interfacial
layer thicknesses of 1.41 ± 0.16 and 1.94 ± 0.13 nm for
the carbon and silica scaffolds, respectively. For carbon-confined
LiBH4, the value is larger than the 0.83–0.99 nm
at 373 K estimated by Shane et al.[9] The
thicker interfacial layer for LiBH4/SiO2 indicates
that the specific interaction of LiBH4 with SiO2 extends over longer distances than for C. It is important to mention
here that pore walls are not atomically flat. For instance, it is
known from the work of Gommes et al. that the amplitude of surface
corrugation of the silica (SBA 15) is 1.6 nm,[34] which is close to the value of 1.94 nm observed for the LiBH4 interfacial layer. However, the specific surface area of
carbon materials and hence the effective pore corrugation are even
larger than those for silica with a similar pore size (Table ). This strengthens the conclusion
that the confinement effects inherently extend over longer distances
in the case of silica than for carbon, as the difference in interfacial
layer thickness cannot be attributed to pore corrugation effects.
Figure 7
Size-dependence
enthalpy and depression for the structural phase
transition of nanoconfined LiBH4. (A) Relative enthalpy
with the curves fitted using eq . (B) Depression of the solid–solid phase-transition
temperatures and the fitted curves of the Gibbs–Thomson relation
(eq ).
Size-dependence
enthalpy and depression for the structural phase
transition of nanoconfined LiBH4. (A) Relative enthalpy
with the curves fitted using eq . (B) Depression of the solid–solid phase-transition
temperatures and the fitted curves of the Gibbs–Thomson relation
(eq ).Using those interfacial layer thicknesses determined
from the above
analysis, the effective interfacial energy differences for the two
structural phases of LiBH4 confined in either SiO2 or C can accurately be determined and are summarized in Table . The interfacial
energy difference for the SiO2/LiBH4 interface
(0.053 J/m2) is higher than for the C/LiBH4 interface
(0.033 J/m2). This is most likely due to the different
interaction between LiBH4 and the pore walls of the scaffold
materials. The surface of silica is polar with a surface energy of
about 0.260 J/m2,[35,36] whereas the carbon
surface is apolar with a low surface energy of 0.032 J/m2,[36,37] and hence a stronger interaction with silica
than with carbon might be expected.[36]
Table 3
Summary of the Interfacial Layer Thickness
and the Interfacial Energy Differences between LiBH4/SiO2 and LiBH4/C Interfaces
system
t (nm)
Δγ (J/m2)a
LiBH4/SiO2
1.94 ± 0.13
0.053 ± 0.003
LiBH4/C
1.41 ± 0.16
0.033 ± 0.002
The indicated error
is the fitting
error; the error in the DSC measurements is about 6–9%.[5]
The indicated error
is the fitting
error; the error in the DSC measurements is about 6–9%.[5]
Comparing Carbon Scaffolds with Different
Pore Size Distributions
Carbon aerogels have a broader pore
size distribution than the ordered mesoporous silica (SBA-15). We
therefore additionally measured the calorimetric properties of LiBH4 confined in ordered nanoporous carbon scaffolds possessing
relatively narrow pore size distributions (Figure S3) to investigate whether the carbon pore structure and pore-size
distributions have a large influence on the confinement effects. Figure shows the DSC thermograms
of nanocomposites prepared with microporous carbon (∼0.8 nm
pore radius),[38] CMK-3 (∼1.8 nm pore
radius),[39] and Kroll carbons (ca. 4.9 nm
pore radius).[40] For comparison, the thermograms
of nanocomposites prepared with carbon aerogel and SiO2 (4.8 and 6.1 nm pore radiui, respectively) are also included. Interestingly,
only the peak corresponding to the structural phase transition for
the unconfined (macrocrystalline) LiBH4 is observed in
sample Cm-0.8 (prepared with microporous carbon). Note
that about 82% of the LiBH4 in this sample is confined
(Table ). We attribute
the absence of the structural phase transition for the confined fraction
to the fact that the pore radius is below the interfacial layer thickness
(1.41 ± 0.16 nm) determined for LiBH4 nanoconfined
in carbon materials. Therefore, LiBH4 confined in carbon
pores below this range is not expected to show any phase transition.
Figure 8
DSC thermograms
for the solid–solid phase transition of
LiBH4 confined in ordered nanoporous carbon (Cm) with a pore radius as indicated (in nm) on the figure. Thermograms
of a nanocomposite prepared with carbon aerogel (CA) and
SBA-15 (SiO2) are also added for comparison. The asterisk
(*) indicates the onset temperature of the phase transition for the
nanoconfined fractions.
Table 4
Summary of the Properties and DSC
Results for LiBH4 Confined in Ordered Nanoporous Carbon
Scaffolds
sample
LiBH4/wt %
fraction confined/%
Tonset, solid–solid/K
ΔTsolid–solid/K
Tpeak
ΔHsolid–solid/kJ/mol
t/nm
Cm-0.8
30.8
82
Cm-1.8
49.2
84
301
77
340
0.36
1.30
Cm-4.9
63.5
97
292
86
376
2.3
1.27
DSC thermograms
for the solid–solid phase transition of
LiBH4 confined in ordered nanoporous carbon (Cm) with a pore radius as indicated (in nm) on the figure. Thermograms
of a nanocomposite prepared with carbon aerogel (CA) and
SBA-15 (SiO2) are also added for comparison. The asterisk
(*) indicates the onset temperature of the phase transition for the
nanoconfined fractions.The onset temperatures for the structural phase transition
for
the confined fraction of LiBH4 in Cm-1.8 and
Cm-4.9 are 301 and 292 K, respectively, compared to about
378 K for macrocrystalline LiBH4. The slightly lower onset
phase-transition temperature for Cm-4.9 is due to the presence
of carbon with pores of less than 1.8 nm in radius. This also explains
why the phase transition extends over a longer temperature range than
that of Cm-1.8. However, the peak of the phase transition
is clearly at a much higher temperature for Cm-4.9 than
for Cm-1.8. These observations indicate that the pore size
distributions of the scaffold are reflected in the peak width (broadness
of the phase-transition event) whereas the average pore size of the
scaffold determines the peak temperature of the phase transition.
A clear proof of this is the fact that the DSC profile of Cm-4.9 is similar to that of the nanocomposite prepared with carbon
aerogel with a similar average pore size (CA-4.8) and pore-size
distributions but is much sharper because of the slight differences
in pore size distributions (Figure S3).
On the other hand, the peak temperatures for Cm-4.9 and
CA-4.8 are at even a slightly higher temperature than for
SiO2-6.1 despite the fact that this silica has larger pores.
These results confirm that the confinement effects are indeed more
pronounced for SiO2 than for carbon. Another clear evidence
comes from the fact that the nanocomposites prepared with the ordered
mesoporous carbon materials have interfacial layer thicknesses (Table ) that are very close
to the average value determined for the samples prepared with carbon
aerogel (Table ).
The interfacial layer thickness for these samples is estimated from eq . The observed difference
in the nanoconfinement effects is mainly due to the differences in
the surface chemistry of the nanoscaffolds. Geometric differences
might also play a role; SBA-15 has a more defined pore geometry (hexagonally
packed cylindrical pores) than the ordered nanoporous carbon.
Conclusions
Quasielastic neutron scattering shows a
clear impact of confinement
on the hydrogen mobility, with the behavior of LiBH4 in
carbon scaffolds being closer to that of macrocrystalline LiBH4 than when confining LiBH4 in silica scaffolds.
The temperature of the solid–solid phase transition of LiBH4 is also depressed more strongly for silica than for carbon
scaffolds and shifts from 387 to 338 K for LiBH4 confined
in 3.3 nm silica pores. Pore-size-dependent enthalpy measurements
confirm that there is a significant fraction of LiBH4 near
the pore walls that does not undergo a structural phase transition,
and assuming that this is a well-defined interfacial layer, we quantify
its thickness as 1.94 ± 0.13 nm for SiO2 and 1.41
± 0.16 nm for carbon scaffolds. If interpreting the shift of
the phase transition in terms of the interfacial energy difference,
the difference between the orthorhombic- and hexagonal-phase LiBH4-SiO2 interfaces is 0.053 J/m2, whereas
for the LiBH4–carbon interfaces this is only 0.033
J/m2. Hence, we show a size dependence of the hydrogen
dynamics and confinement energetics of LiBH4 on pore size
as well as on the chemical nature of the scaffolds. This suggests
that the nature of the scaffold and surface modification are important
tools for tuning the hydrogen sorption and ion conduction properties
of confined complex hydrides.
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