W. Sun et al. / Journal of Alloys and Compounds 676 (2016) 557e564
563
Table 5
Typical kinetic equations used for fitting the experimental hydrogen sorption data.
Model equation
Equation description
R2 (T ¼ 315 ꢀC)
Chemical adsorption
John-Mehl-Avrami-Kolmogorov equation
0.84
0.99
a
¼ kt
½ꢁlnð1 ꢁ
a2 ¼ kt
a
Þ1=nꢂ ¼ kt
One-dimensional diffusion
0.88
0.90
0.78
Two-dimensional diffusion
Shrinking core model three-dimensional growth controlled by diffusion
a
þ ð1 ꢁ
a
Þlnð1 ꢁ Þ ¼ kt
a
ꢀ
ꢁ
1 ꢁ
ꢁ ð1 ꢁ
a
Þ1=n ¼ kt
2
3
a
½1 ꢁ ð1 ꢁ
a
Þ1=3ꢂ2 ¼ kt
Jander equation for three-dimensional diffusion
0.85
3.3. Dehydrogenation kinetics
2 Li3Mg7 þ 17 H2 / 6 LiH þ 14 MgH2
(7)
(8)
Fig. 7 exhibits the temperature-programmed desorption (TPD)
curves of the 4MgH2eTiH2eLiAlH4 and 4MgH2eLiAlH4 samples for
comparison. Each sample shows two significant dehydrogenation
steps, as mentioned above. The initial dehydrogenation tempera-
ture of the ternary phase sample was found to be greatly reduced
by 46 ꢀC from that of the binary phase sample, 100 ꢀC. For the
second step, the onset temperature of the ternary phase sample
was greatly reduced by 60 ꢀC from that of the binary one (225 ꢀC) as
well. Furthermore, the final temperature of the end of the dehy-
drogenation reaction of 4MgH2eTiH2eLiAlH4 was also reduced by
12 ꢀC from 287 ꢀC of the 4MgH2eLiAlH4 sample. This result dem-
onstrates that the hydrogen release kinetics of the 4MgH2eLiAlH4
system was greatly improved due to the introduction of TiH2. The
dehydrogenation capacity of the ternary system was approximately
1.0 wt% in the first step, which nearly attained the theoretical ca-
pacity of the reaction (2) (up to 1.04 wt%). However, the total
release capacity was inevitably reduced from that of binary system
because of the presence of TiH2, which does not contribute any
hydrogen storage capacity during the whole reaction.
Al12Mg17 þ 17 H2 / 12 Al þ 17 MgH2
The isothermal absorption curves of 4MgH2eTiH2eLiAlH4 at
different temperatures are shown in Fig. 10 (b), which suggest that
the reaction rate was greatly improved with the increase of tem-
perature from 254 ꢀC (527 K) to 315 ꢀC (588 K). The activation
energies reflecting the hydrogen absorption kinetics are well
known to be described by the Arrhenius equation as follows:
Ea ¼ ꢁRTln(K/K0)
(9)
where Ea is the activation energy, R is the gas constant, and T is the
absolute temperature for hydrogen absorption. K is a temperature-
dependent reaction rate constant, which varied with different
temperatures. If plotting the dependence of ln(k) on 1/T, one may
calculate the reaction activation energy Ea. Therefore, K is funda-
mentally important to make such a plot.
Equation (10) was proposed to determine the values of K [28].
d
a
/dt ¼ Kf(
a
)
(10)
The thermal decomposition behaviours of 4MgH2eLiAlH4 and
4MgH2eTiH2eLiAlH4 were investigated by DSC measurements, and
their patterns are shown in Fig. 8. As in previous studies, the
exothermic peak was attributed to the decomposition of LiAlH4 into
Li3AlH6 and Al. The endothermic events occurring at approximately
200 ꢀC and 325 ꢀC should belong to the decomposition of Li3AlH6
and MgH2-relavanted dehydrogenation, respectively [20]. Both
processes merged together in the second step.
where is the reacted fraction and f(
a
a
) is the differential form of
the reaction mechanism function. We plotted the results as shown
in Supplementary Figs. 1 and 2 on the basis of Fig. 10 and tried
several reaction models as listed in Table 5 [29] to fit those points.
The Johnson-Mehl-Avrami (JMA) equation (11) was found to be the
best most matched model [30e33]. Therefore, we may identify the
values of K corresponding to different temperatures.
To calculate the apparent activation energy of the two dehy-
drogenation steps, different endothermic peak temperatures at
)]1/n ¼ Kt
(11)
various heating rates (
b
¼ 2, 4, 6, 8 ꢀC minꢁ1) were fitted on the
[ꢁln(1ꢁ
a
basis of Kissinger's equation [27] to obtain the slopes and describe
the dehydrogenation kinetics of the samples. As shown in Table 4,
the apparent activation energy of the decomposition of LiAlH4 was
reduced from 111.4 kJ/mol for the binary sample to 88.1 kJ/mol for
the ternary one. Similarly, the activation energies belonging to the
Li3AlH6 and MgH2 decompositions in the ternary sample were
reduced by 29.1 kJ/mol and 45.5 kJ/mol, respectively. This result
indicates that the added TiH2 was beneficial to enhancing the
dehydrogenation kinetics of the 4MgH2eLiAlH4 system.
Using the method mentioned above, the activation energy (Ea)
of 4MgH2eTiH2eLiAlH4 can be determined to be 108.9 kJ/mol H2,
which was greatly decreased from that of binary 4MgH2eLiAlH4,
158.8 kJ/mol H2 (as shown in Fig. 10 and Table 4). This result
demonstrates again that the hydrogen absorption kinetics was
greatly improved by adding TiH2.
4. Conclusions
3.4. Hydrogen-absorbing performance
In this paper, the hydrogen storage kinetics of 4MgH2eLiAlH4
was greatly improved after doping with TiH2. The initial dehydro-
genation temperature of 4MgH2eLiAlH4eTiH2 significantly
decreased by nearly 50 ꢀC from that of 4MgH2eLiAlH4. Its second
release step also decreased by 60 ꢀC from that of the latter.
TiH2 was not involved in the dehydrogenation process of
4MgH2eLiAlH4eTiH2. However, it serves as an effective catalyst for
both MgH2 and LiAlH4. The apparent activation energy of the
decomposition of LiAlH4 was reduced from 111.4 kJ/mol to 88.1 kJ/
mol, and the activation energy of MgH2-relavanted dehydrogena-
tion in 4MgH2eLiAlH4eTiH2 was 128.8 kJ/mol, which was lowered
The XRD pattern of the product of the hydrogenated sample is
shown in Fig. 9. MgH2, TiH2, Al and LiH can be observed after being
isothermally hydrogenated at 350 ꢀC. Combined with Fig. 4 (h), we
can clearly identify the pathways of hydrogen absorption and
describe them by equations (6)e(8). LiAlH4/Li3AlH6 phases were
barely achieved, and the reversible capacity of the ternary com-
posite was only relevant to the de/re-sorption of MgH2.
Mg þ H2 / MgH2
(6)