Thermodynaic
Thermodynaic
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1. Introduction
Considering the increasing pollution and exploitation of fossil energy resources, the
implementation of new energy concepts is essential for our future industrialized society.
Renewable sources have to replace current energy technologies. This shift, however, will not
be an easy task. In contrast to current nuclear or fossil power plants renewable energy
sources in general do not offer a constant energy supply, resulting in a growing demand of
energy storage. Furthermore, fossil fuels are both, energy source as well as energy carrier.
This is of special importance for all mobile applications. Alternative energy carriers have to
be found. The hydrogen technology is considered to play a crucial role in this respect. In
fact it is the ideal means of energy storage for transportation and conversion of energy in a
comprehensive clean-energy concept. Hydrogen can be produced from different feedstocks,
ideally from water using regenerative energy sources. Water splitting can be achieved by
electrolysis, solar thermo-chemical, photoelectrochemical or photobiological processes.
Upon reconversion into energy, by using a fuel cell only water vapour is produced, leading
to a closed energy cycle without any harmful emissions. Besides stationary applications,
hydrogen is designated for mobile applications, e.g. for the zero-emission vehicle. In
comparison to batteries hydrogen storage tanks offer the opportunity of fast recharging
within a few minutes only and of higher storage densities by an order of magnitude.
Hydrogen can be produced from renewable energies in times when feed-in into the
electricity grid is not possible. It can be stored in large caverns underground and be utilized
either to produce electricity and be fed into the electricity grid again or directly for mobile
applications.
However, due to the very low boiling point of hydrogen (20.4 K at 1 atm) and its low
density in the gaseous state (90 g/m3) dense hydrogen storage, both for stationary and
mobile applications, remains a challenging task. There are three major alternatives for
hydrogen storage: compressed gas tanks, liquid hydrogen tanks as well as solid state
hydrogen storage such as metal hydride hydrogen tanks. All of these three main techniques
have their special advantages and disadvantages and are currently used for different
applications. However, so far none of the respective tanks fulfils all the demanded technical
requirements in terms of gravimetric storage density, volumetric storage density, safety,
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892 Thermodynamics – Interaction Studies – Solids, Liquids and Gases
free-form, ability to store hydrogen for longer times without any hydrogen losses, cyclability
as well as recyclability and costs. Further research and development is strongly required.
One major advantage of hydrogen storage in metal hydrides is the ability to store hydrogen
in a very energy efficient way enabling hydrogen storage at rather low pressures without
further need for liquefaction or compression. Many metals and alloys are able to absorb
large amounts of hydrogen. The metal-hydrogen bond offers the advantage of a very high
volumetric hydrogen density under moderate pressures, which is up to 60% higher than
that of liquid hydrogen (Reilly & Sandrock, 1980).
Depending on the hydrogen reaction enthalpy of the specific storage material during
hydrogen uptake a huge amount of heat (equivalent to 15% or more of the energy stored in
hydrogen) is generated and has to be removed in a rather short time, ideally to be recovered
and used as process heat for different applications depending on quantity and temperature.
On the other side, during desorption the same amount of heat has to be applied to facilitate
the endothermic hydrogen desorption process – however, generally at a much longer time
scale. On one side this allows an inherent safety of such a tank system. Without external
heat supply hydrogen release would lead to cooling of the tank and finally hydrogen
desorption necessarily stops. On the other side it implies further restrictions for the choice of
suitable storage materials. Highest energy efficiencies of the whole tank to fuel combustion
or fuel cell system can only be achieved if in case of desorption the energy required for
hydrogen release can be supplied by the waste heat generated in case of mobile applications
on-board by the hydrogen combustion process and the fuel cell respectively.
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Thermodynamics of Metal Hydrides: Tailoring Reaction Enthalpies of Hydrogen Storage Materials 893
surface areas of the chosen materials. Experiments reveal for carbon-based nanostructures
storage capacities of less than 8 wt.% at 77 K and less than 1wt.% at RT and pressures below
100 bar (Panella et al., 2005; Schmitz et al., 2008).
Fig. 2. Schematic of potential energy curves of hydrogen in molecular and atomic form
approaching a metal. The hydrogen molecule is attracted by Van der Waals forces and
forms a physisorbed state. Before diffusion into the bulk metal, the molecule has to
dissociate forming a chemisorbed state at the surface of the metal (according to Züttel, 2003).
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894 Thermodynamics – Interaction Studies – Solids, Liquids and Gases
After dissociation on the metal surface, the H atoms have to diffuse into the bulk to form a
M-H solid solution commonly referred to as -phase. In conventional room temperature
metals / metal hydrides, hydrogen occupies interstitial sites - tetrahedral or octahedral - in
the metal host lattice. While in the first, the hydrogen atom is located inside a tetrahedron
formed by four metal atoms, in the latter, the hydrogen atom is surrounded by six metal
atoms forming an octahedron, see Fig. 3.
Fig. 3. Octahedral (O) and tetrahedral (T) interstitial sites in fcc-, hcp- and bcc-type metals.
(Fukai, 1993).
In general, the dissolution of hydrogen atoms leads to an expansion of the host metal lattice
of 2 to 3 Å3 per hydrogen atom, see Fig. 4. Exceptions of this rule are possible, e.g. several
dihydride phases of the rare earth metals, which show a contraction during hydrogen
loading for electronic reasons.
Fig. 4. Volume expansion of the Nb host metal with increasing H content. (Schober & Wenzl,
1978)
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Thermodynamics of Metal Hydrides: Tailoring Reaction Enthalpies of Hydrogen Storage Materials 895
In the equilibrium the chemical potentials of the hydrogen in the gas phase and the
hydrogen absorbed in the metal are the same:
1
gas metal . (2)
2
Since the internal energy of a hydrogen molecule is 7/2 kT the enthalpy and entropy of a
hydrogen molecule are
7
h gas k T EDiss (3)
2
and
Here k is the Boltzmann constant, T the temperature, p the applied pressure, EDiss the
dissociation energy for hydrogen (EDiss = 4.52 eV eV/H2), MH-H the mass of the H2 molecule,
rH-H the interatomic distance of the two hydrogen atoms in the H2 molecule.
Consequently the chemical potential of the hydrogen gas is given by
p p
gas k T ln EDiss k T ln gas0 (5)
p0 (T ) p0
Here, s,conf is the configuration entropy which is originating in the possible allocations of
NH hydrogen atoms on Nis different interstitial sites:
N is!
S ,conf k ln (7)
N H!(N is -N H )!
cH
s ,conf -k ln (8)
n is -c H
with nis being the number of interstitial sites per metal atom: nis = Nis/NMe and cH the
number of hydrogen atoms per metal atom: cH = NH/NMe.
Therefore the chemical potential of hydrogen in the solid solution (-phase) is given by
cH
h T s k ln (9)
vibr,electr
n is cH
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896 Thermodynamics – Interaction Studies – Solids, Liquids and Gases
Taking into account the equilibrium condition (2) the hydrogen concentration cH can be
determined via
g
cH p - s 1
e k T with g s h T s g (10)
n is cH p0 (T ) vibr
2 0
or
sG
cH p -
e R T with Gs Hs T S . (11)
n is cH p0 (T )
Here g0 is the chemical potential of the hydrogen molecule at standard conditions and R
being the molar gas constant.
For very small hydrogen concentrations cHcH << nis in the solid solution phase the
hydrogen concentration is directly proportional to the square root of the hydrogen pressure
in the gas phase. This equation is also known as the Sievert’s law, i.e.
1
cH p (12)
KS
Me-Hc
1
2
c c H2 MeHc Q . (13)
In the equilibrium the chemical potentials of the gas phase, the solid solution phase and
the hydride phase coincide:
peq T 1
p , T , c p , T , c
1 1
gas p , T k T ln gas0 . (14)
2 2 p
0 2
Following Gibb’s Phase Rule f=c-p+2 with f being the degree of freedom, k being the
number of components and p the number of different phases only one out of the four
variables p, T, c, c is to be considered as independent. Therefore for a given temperature all
the other variables are fixed.
Therefore the change in the chemical potential or the Gibbs free energy is just a function of
one parameter, i.e. the temperature T:
1 p(T )
G R T ln . (15)
2 p0
From this equation follows the frequently-used Van’t Hoff equation (16):
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Thermodynamics of Metal Hydrides: Tailoring Reaction Enthalpies of Hydrogen Storage Materials 897
1 p H S
ln (16)
2 p 0 RT R
The temperature dependent plateau pressure of this two phase field is the equilibrium
dissociation pressure of the hydride and is a measure of the stability of the hydride, which
commonly is referred to as -phase.
After complete conversion to the hydride phase, further dissolution of hydrogen takes place
as the pressure increases, see Fig. 5.
Fig. 6. Schematic pcT-diagram and van’t Hoff plot. The -phase is the solid solution phase,
the -phase the hydride phase. Within the two phase region both the metal-hydrogen
solution and the hydride phase coexist.
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898 Thermodynamics – Interaction Studies – Solids, Liquids and Gases
Fig. 7. Van’t Hoff lines (desorption) for binary hydrides. Box indicates 1-100 atm, 0-100 °C
ranges, taken from Sandrock et al. (Sandrock, 1999).
However, the Van’t Hoff plots shown in Fig. 7 indicate that most binary hydrides do not
have the desired thermodynamic properties. Most of them have rather high thermodynamic
stabilities and thus release hydrogen at the minimum required pressure of 1 bar only at
rather high temperatures (T>300°C). The values of their respective reaction enthalpies are in
the range of 75 kJ/(mol H2) (MgH2) or even higher. Typical examples are the hydrides of
alkaline metals, alkaline earth metals, rare earth metals as well as transition metals of the
Sc-, Ti- and V-group. The strongly electropositive alkaline metals like LiH and NaH and
CaH2 form saline hydrides, i.e. they have ionic bonds with hydrogen. MgH2 marks the
transition between these predominantly ionic hydrides and the covalent hydrides of the
other elements in the first two periods.
Examples for high temperature hydrides releasing the hydrogen at pressures of 1 bar at
extremely high temperatures (T > 700°C) are ZrH2 and LaH2 (Dornheim & Klassen, 2009).
ZrH2 for example is characterized by a high volumetric storage density NH. NH values larger
than 7 1022 hydrogen atoms per cubic centimetre are achievable. This value corresponds to
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Thermodynamics of Metal Hydrides: Tailoring Reaction Enthalpies of Hydrogen Storage Materials 899
58 mol H2/l or 116 g/l and has to be compared with the hydrogen density in liquid hydrogen
(20 K): 4.2 1022 (35 mol H2/l or 70 g/l) and in compressed hydrogen (350 bar / 700 bar): 1.3 /
2.3 1022 atoms/cm3 ( 11 mol H2/l or 21 g/l and 19 mol H2/l or 38 g/l respectively) . The
hydrogen density varies a lot between different hydrides. VH2 for example has an even higher
hydrogen density which amounts to 11.4 1022 hydrogen atoms per cubic centimetre and
accordingly 95 mol H2/l or 190 g/l. As in the case of many other transition metal hydrides Zr
has a number of different hydride phases ZrH2-x with a wide variation in the stoichiometry
(Hägg, 1931). Their compositions extend from about ZrH1.33 up to the saturated hydride ZrH2.
Because of the limited gravimetric storage density of only about 2 wt.% and the negligibly low
plateau pressure within the temperature range of 0 – 150 °C Zr as well as Ti and Hf are not
suitable at all as a reversible hydrogen storage material. Thus, they are not useful for reversible
hydrogen storage if only the pure binary hydrides are considered (Dornheim & Klassen, 2009).
Libowitz et al. (Libowitz et al., 1958) could achieve a breakthrough in the development of
hydrogen storage materials by discovering the class of reversible intermetallic hydrides. In
1958 they discovered that the intermetallic compound ZrNi reacts reversibly with gaseous
hydrogen to form the ternary hydride ZrNiH3. This hydride has a thermodynamic stability
which is just in between the stable high temperature hydride ZrH2 (fH0= -169 kJ/mol H2) and
the rather unstable NiH (fH0= -8.8 kJmol-1H2). Thus, the intermetallic Zr-Ni bond exerts a
strong destabilizing effect on the Zr-hydrogen bond so that at 300°C a plateau pressure of 1bar
is achieved which has to be compared to 900°C in case of the pure binary hydride ZrH2. This
opened up a completely new research field. In the following years hundreds of new storage
materials with different thermodynamic properties were discovered which generally follow
the well-known semi-empirical rule of Miedema (Van Mal et al., 1974):
Around 1970, hydrides with significantly lowered values of hydrogen reaction enthalpies,
such as LaNi5 and FeTi but also Mg2Ni were discovered. While 1300 C are necessary to
reach a desorption pressure of 2 bar in case of the pure high temperature hydride LaH2, in
case of LaNi5H6 a plateau pressure of 2 bar is already reached at 20 C only. The value of the
hydrogen reaction enthalpy is lowered to HLaNi5H6 = 30.9 kJmol-1H2. The respective values
for NiH are Hf,NiH = 8.8 kJmol-1H2 and Pdiss,NiH,RT=3400 bar.
In the meantime, several hundred other intermetallic hydrides have been reported and a
number of interesting compositional types identified (table 1). Generally, they consist of a high
temperature hydride forming element A and a non hydride forming element B, see fig. 8.
COMPOSITION A B COMPOUNDS
A2B Mg, Zr Ni, Fe, Co Mg2Ni, Mg2Co, Zr2Fe
AB Ti, Zr Ni, Fe TiNi, TiFe, ZrNi
LaNi2, YNi2,YMn2, ZrCr2, ZrMn2,ZrV2,
AB2 Zr, Ti, Y, La V, Cr, Mn, Fe, Ni
TiMn2
AB3 La, Y, Mg Ni, Co LaCo3,YNi3,LaMg2Ni9
Ca, La, Rare CaNi5, LaNi5, CeNi5, LaCu5, LaPt5,
AB5 Ni, Cu, Co, Pt, Fe
Earth LaFe5
Table 1. Examples of intermetallic hydrides, taken from Dornheim et al. (Dornheim, 2010).
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900 Thermodynamics – Interaction Studies – Solids, Liquids and Gases
Fig. 8. Hydride and non hydride forming elements in the periodic system of elements.
Even better agreement with experimental results than by use of Miedema’s rule of reversed
stability is obtained by applying the semi-empirical band structure model of Griessen and
Driessen (Griessen & Driessen, 1984) which was shown to be applicable to binary and
ternary hydrides. They found a linear relationship of the heat of formation H = H0f of a
metal hydride and a characteristic energy E of the electronic band structure of the host
metal which can be applied to simple metals, noble metals, transition metals, actinides and
rare earths:
H E (18)
with E = EF-ES (EF being the Fermi energy and ES the center of the lowest band of the host
metal, = 59.24 kJ (eV mol H2)-1 and = -270 kJ (mol H2)-1 and E in eV.
As described above, most materials experience an expansion during hydrogen absorption,
wherefore structural effects in interstitial metal hydrides play an important role as well. This
can be and is taken as another guideline to tailor the thermodynamic properties of
interstitial metal hydrides. Among others Pourarian et al. (Pourarian, 1982), Fujitani et al.
(Fujitani, 1991) and Yoshida & Akiba (Yoshida, 1995) report about this relationship of lattice
parameter or unit cell volume and the respective plateau pressures in different material
classes.
Intensive studies let to the discovery of a huge number of different multinary hydrides with
a large variety of different reaction enthalpies and accordingly working temperatures. They
are not only attractive for hydrogen storage but also for rechargeable metal hydride
electrodes and are produced and sold in more than a billion metal hydride batteries per
year. Because of the high volumetric density, intermetallic hydrides are utilized as hydrogen
storage materials in advanced fuel cell driven submarines, prototype passenger ships,
forklifts and hydrogen automobiles as well as auxiliary power units.
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Thermodynamics of Metal Hydrides: Tailoring Reaction Enthalpies of Hydrogen Storage Materials 901
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902 Thermodynamics – Interaction Studies – Solids, Liquids and Gases
of Siebtechnik GmbH Eigen et al. (Eigen et al., 2007; Eigen et al., 2008) showed that
upscaling of material synthesis is possible: After only 30 min milling under optimised
process conditions in such a tube vibration mill in kg scale, fast absorption and desorption
kinetics with charging/discharging times of less than 10 min can be obtained. The operation
temperatures of this complex hydride are much lower than compared to MgH2 and other
light weight hydrides. Fast kinetics is achieved at 100 °C to 150 °C which is much less than
what is required in case of MgH2, however, still significantly higher than in case of the
conventional hydrides which show only a very limited storage capacity. Such hydride
working temperatures offer the possibility for combinations of metal hydride tanks based on
these complex hydrides with e. g. combustion engines, high temperature PEM fuel cells or
other medium to high temperature fuel cells. However, compared to MgH2 the gravimetric
hydrogen storage capacity is significantly reduced. Having a maximum theoretical storage
capacity of about 5.6 wt. % NaAlH4 exhibits a long term practical storage capacity of 3.5-4.5
wt. % H2 only. Furthermore, in difference to MgH2 NaAlH4 decomposes in two reaction
steps upon dehydrogenation which implies two different pressure plateaus instead of just
one:
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Thermodynamics of Metal Hydrides: Tailoring Reaction Enthalpies of Hydrogen Storage Materials 903
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904 Thermodynamics – Interaction Studies – Solids, Liquids and Gases
Fig. 10. Tailoring of the reaction enthalpy by altering the stability of the hydrogenated or
dehydrogenated state of the metal hydrides: a) Reduction of total reaction enthalpy by
stabilising the dehydrogenated phase by Hds or destabilising the hydride phase by Hhd.
b) Increase of total reaction enthalpy by destabilising the dehydrogenated state by Hdd or
stabilising the hydrogenated state by Hhs.
formation of H0f(Mg2Ni) = -42 kJ/mol. Therefore, compared to pure Mg the dehydrogenated
state is stabilised by Hds = -21 kJ/(mol Mg). The enthalpy of formation of Mg2NiH4is
H0f(Mg2NiH4) = -176 kJ/mol (= -88 kJ/(mol Mg)), wherefore the hydride phase is stabilised
by Hhd = -10 kJ/(mol Mg) if compared to pure MgH2. In total the hydrogen reaction
enthalpy of Mg2Ni
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Thermodynamics of Metal Hydrides: Tailoring Reaction Enthalpies of Hydrogen Storage Materials 905
Unfortunately, with lowering the Mg content the hydrogen storage capacity dropped down
to 1.4 wt.% only.
On the other side, as schematically shown in Fig. 10b the absolute value of reaction enthalpy
can be increased by either stabilising the hydride phase or destabilising the dehydrogenated
phase. In case of Mg-based hydrogen absorbing alloys this is not at all of interest for
hydrogen storage itself since MgH2 is too stable for most hydrogen storage applications ,
however, this is of interest for other applications like the storage of thermal energy
(Dornheim & Klassen, 2009). Mg2FeH6 is an example of such materials with increased
amount of reaction enthalpy. Furthermore, it is the one with the highest known volumetric
hydrogen density which amounts to 150 kg m-3. This enormously high hydrogen density is
more than double the value found in case of liquid hydrogen at 20 K and moderate
pressures of up to 20 bar (Klell, 2010). The gravimetric storage capacity is 5.6 wt.% and thus
still rather high. Since Mg and Fe are immiscible the dehydrogenated state is destabilised
compared to pure Mg: Hdd > 0 kJ/(mol H2). Accordingly the hydride phase is more
difficult to be synthesised and reversibility as well as long term stability is more difficult to
be accomplished.
Nevertheless, hydrogenation is possible at hydrogen pressures of at least 90 bar and
temperatures of at least 450 °C (Selvam & Yvon, 1991). Bogdanovic et al. (Bogdanovic et al.,
2002) achieved very good reversibility and cycling stability with the hydrogen storage
capacities remaining unchanged throughout 550-600 cycles at a level of 5-5.2 wt.% H2. The
reaction enthalpy value is reported to be in between 77 kJ/(mol H2) and 98 kJ/(mol H2)
(Bogdanovic et al., 2002), (Konstanchuk et al, 1987), (Puszkiel et al., 2008), (Didisheim et al.,
1984).
The large reaction enthalpies of MgH2 and Mg2FeH6 lead to weight and volume related heat
storage densities in the temperature range of 500 °C which are many times higher than that
of the possible sensible or latent heat storage materials (Bogdanovic et al., 2002). The
calculated and experimental heat storage densities to weight given by Bogdanovic et al. are
2814 kJ/kg and 2204 kJ/kg for the MgH2-Mg system and 2106 and 1921 kJ/kg for the
Mg2FeH6 – 2Mg+Fe system respectively. The corresponding calculated and experimental
values for the volumetric thermal energy storage density are 3996 kJ/dm³ and 1763 kJ/dm³
for the MgH2-Mg system and 5758 kJ/dm³ and 2344 kJ/dm³ respectively (Bogdanovic et al.,
2002). These thermal energy densities ought not to be mistaken with the energy stored in the
hydrogen (lower heating value) which is more than a factor of three larger.
Aluminum-based complex hydrides
As Mg2FeH6 decomposes during hydrogen release into 2 Mg, Fe and 3 H2 NaAlH4
decomposes during hydrogen release in 1/3 Na3AlH6 + 2/3 Al + H2 and finally NaH + Al +
3/2 H2. As written in chapter 2.2 while much lower than those of the Mg-based hydrides the
reaction enthalpies of |H|= 37 kJ/(mol H2) and |H|= 47 kJ/(mol H2) are still two high
for many applications especially for the usage in combination with low temperature PEM
fuel cells. LiAlH4 on the other hand is much less stable. It decomposes in two steps as is the
case of the NaAlH4:
The first reaction step, however, the decomposition of LiAlH4 is found to be exothermic
with Hdecomposition = -10 kJ/(mol H2). Since the entropy of decomposition is positive.
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906 Thermodynamics – Interaction Studies – Solids, Liquids and Gases
Rehydrogenation is not possible at all. The second reaction step, the decomposition of
Li3AlH6 is endothermic with Hdecomposition = 25 kJ/(mol H2). The decomposition of LiH itself
takes place at much higher temperatures with H = 140 kJ/(mol H2) (Orimo et al., 2007).
While the second reaction step, the decomposition of Li3AlH6 and rehydrogenation of
LiH + Al shows rather suitable thermodynamic properties, sluggish kinetics prevent this
system so far from being used for hydrogen storage.
To increase the storage capacity and tailor the reaction enthalpy of the NaAlH4 system it is a
comprehensible approach to replace some of the Na by Li. Indeed Huot et al. (Huot et al.,
1999) proved the existence of Na2LiAlH6 and the possible formation by high energy ball-
milling of NaH + LiH + NaAlH4. Reversible hydrogen sorption is found to be possible in the
Na-Li-Al-H system according to the following reaction:
As in case of the pure Na-Al-H system and the Li-Al-H system kinetics can be improved by
the addition of transition metal compounds like metal oxides, chlorides and fluorides, see
(Ares Fernandez et al., 2007), (Ma et al., 2005) and (Martinez-Franco et al., 2010). However,
due to the lack of any stable compound in the dehydrogenated state and the formation of a
rather stable hydride the value of reaction enthalpy isn’t decreased but increased if
compared to the original single Na and Li based aluminium hydrides. Fossdal et al. (Fossdal
et al., 2005) has determined the pressure-composition isotherms of TiF3-doped Na2LiAlH6 in
the temperature range of 170 °C – 250 °C. They determined the dissociation enthalpy and
the corresponding entropy from the Van’t Hoff plot: |DH| = 56 kJ/(mol H2) and
S = 138 J/(K mol H2). Therefore, instead of a lowering the heat of reaction the opposite is
observed. The heat of reaction of the hexa-hydride phase is increased by about
10 kJ/(mol H2) if compared to the pure Na3AlH6 hydride phase.
In 2007 Yin et al. (Yin et al., 2007) presented DFT calculations about the doping effects of
TiF3 on Na3AlH6. Their calculations suggested F- substitution for the H-anion leading to a
reduction of the desorption enthalpy and therefore for a favourable thermodynamic
modification of the Na3AlH6 system which was experimentally confirmed by Brinks et al.
(Brinks et al., 2008) and Eigen et al. (Eigen et al., 2009).
Borohydrides
Only a very few hydrides show a higher gravimetric storage capacity than MgH2. For this
they must be composed from very light elements. Knowing that Al-containing compounds
can form reversible complex metal hydrides it is a reasonable approach to look for Boron-
containing compounds as reversible hydrogen storage materials with even higher storage
capacity. Borohydrides are known since 1940 when Schlesinger and Brown report about the
successful synthesis of LiBH4 by reaction of LiEt and diborane (Schlesinger & Brown, 1940).
Despite the early patent from Goerrig in 1958 (Goerrig, 1960) direct synthesis from gaseous
H2 was not possible for long times. Until in 2004 three different groups from the USA (Vajo
et al., 2005), South Korea (Cho et al., 2006) and Germany (Barkhordarian et al., 2007)
independently discovered that by using MgB2 instead of pure Boron as starting material
formation of the respective borohydrides occurs at rather moderate conditions of 5 MPa H2
pressure. Orimo et al. (Orimo et al., 2005) reports on the rehydrogenation of previously
dehydrogenated LiBH4 at 35 MPa H2 pressure at 600 °C. Mauron et al. (Mauron et al., 2008)
report that rehydrogenation is also possible at 15 MPa. As in case of the Mg-based alloys
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Thermodynamics of Metal Hydrides: Tailoring Reaction Enthalpies of Hydrogen Storage Materials 907
and the aluminum hydrides the reaction enthalpy of many borohydrides is rather
unsuitable for most applications. LiBH4 as one of the most investigated borohydrides with a
very high gravimetric hydrogen density of 18.5 wt.% shows an endothermic desorption
enthalpy of |DH| = 74 kJ/(mol H2) (Mauron et al., 2008) which is almost the same as in
MgH2. Therefore the tailoring of the reaction enthalpy by substitution is a key issue for these
materials as well. As in case of the aluminium hydrides there are two different possibilities
for substitution in these complex hydrides: cation substitution and anion substitution.
Nakamori et al. (Nakamori et al., 2006) reports about a linear relationship between the heat
of formation Hboro of M(BH4)n determined by first principle methods and the Pauling
electronegativity of the cation p:
H boro
1 248.7 P 390.8 (23)
kJ mol BH 4
Aiming to confirm their theoretical results the same group performed hydrogen desorption
experiments which show that the experimentally determined desorption temperature Td
shows correlates with the Pauling electronegativity p as well, see Fig. 11.
Fig. 11. The desorption temperature Td as a function of the Pauling electronegativity P and
estimated desorption enthalpies Hdes (Nakamori et al., 2007).
Based on these encouraging results several research groups started to investigate the partial
substitution of one cation by another studying several bialkali metal borohydrides. The
decomposition temperature of the bialkali metal borohydrides like LiK(BH4)2 is
approximately the average of the decomposition temperature of the mono alkali
borohydrides (Rude et al., 2011). Investigations of Li et al. (Li et al., 2007) and Seballos et al.
(Seballos et al., 2009) confirmed that this correlation between desorption enthalpy /
observed Td holds true for many double cation MM’(BH4)n systems, see Fig. 12.
Several experiments are indicating that transition metal fluorides are among the best
additives for borohydrides (Bonatto Minella et al., 2011). While for some cases the function
of the transition metal part as additive is understood (Bösenberg et al., 2009; Bösenberg et
al., 2010; Deprez et al., 2010; Deprez et al., 2011), the function of F so far remained unclear.
DFT calculations performed by Yin et al. (Yin et al., 2008) suggest a favourable modification
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908 Thermodynamics – Interaction Studies – Solids, Liquids and Gases
of hydrogen reaction enthalpy in the LiBH4 system by substitution of the H--ion with the F--
ion. However, no clear indicative experimental results for F- -substitution in borohydrides
are found yet. In contrast to the F the heavier and larger halides Cl, Br, I are found to readily
substitute in some borohydrides for the BH4--ion and form solid solutions or stoichiometric
compounds and are so far reported to stabilize the hydride phase leading to an increase of
the desorption enthalpy |H| (Rude et al., 2011).
Fig. 12. Decomposition temperatures, Tdec for metal borohydrides plotted as a function of
the electronegativity of the metal, M’. (Rude et al., 2011)
MH x yA MA y x
2
H2 (24)
They investigated the system MgH2/MgCu2 which reversibly reacts with hydrogen
according to:
The formation of MgCu2 from Mg2Cu and Cu is exothermic and thus counteracts the
endothermic release of hydrogen. Thereby, the total amount of hydrogen reaction enthalpy
is reduced to roughly |H| = 73 kJ/(mol H2) (Wiswall, 1978). The equilibrium temperature
for 1 bar hydrogen pressure is reduced to about 240 °C. In spite of the lower driving force
for rehydrogenation, Mg2Cu is much more easily hydrogenated than pure Mg. A fact found
in many other systems like the Reactive Hydride Composites as well.
Aluminum is another example of a reactive additive for MgH2. The reaction occurs via two
steps (Bouaricha et al., 2000):
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Thermodynamics of Metal Hydrides: Tailoring Reaction Enthalpies of Hydrogen Storage Materials 909
The system can reversibly store 4.4 wt.% H2. Since the formation enthalpy HForm of
Mg17Al12 is -102 kJ/mol the total value of reaction enthalpy of reaction (26) is reduced by
~ 6 kJ/(mol H2) if compared to pure MgH2. An equilibrium pressure of 1 bar is reached at
around 240 °C again.
To further decrease the reaction enthalpy of a Mg-based system a much more stable
compound would have to be formed during dehydrogenation. A system investigated by
many groups is the MgH2-Si system. Mg2Si has an enthalpy of formation of HForm = -
79 kJ/mol. Due to the formation of Mg2Si the value of reaction enthalpy of MgH2/Si should
therefore be reduced by 37 kJ/(mol H2) to about |H| = 41 kJ/(mol H2) (Dornheim, 2010).
Theoretically 5 wt.% H2 can be stored via the reaction
2 MgH2 Si Mg 2 Si 4 H 2 (27)
The thermodynamic data indicate a very favourable equilibrium pressure of about 1 bar at
20 °C and 50 bar at 120 °C (Vajo, 2004). While so far rehydrogenation of Mg2Si was not
shown to be possible the system LiH-Si turned out to be reversible. The enthalpy of
dehydrogenation of LiH being 190 kJ/(mol H2) an equilibrium H2 pressure of 1 bar is
reached at 910 °C (Sangster, 2000; Dornheim, 2010). LiH reversibly reacts with Si via a two
step reaction with the equilibrium pressure being more than 104 times higher and the
dehydrogenation enthalpy being reduced by 70 kJ/(mol H2) (Vajo, 2004).
This approach has recently also been applied to borohydrides. According to Cho et al. (Cho
et al., 2006) the decomposition temperature of pure LiBH4 is determined by CALPHAD to 1
bar H2 pressure at 403 °C while the corresponding equilibrium temperature for the reaction
is reduced to 188 °C. Kang et al. (Kang et al., 2007) and Jin et al. (Jin et al., 2008) could show
that this system indeed is reversible if suitable additives are used.
The only disadvantage of this approach is that the total reversible storage capacity per
weight is reduced if something is added to the hydrogen storing material which contains no
hydrogen.
The problem of reduced hydrogen capacity by using reactive additives has recently
overcome by the approach of the Reactive Hydride Composites (Dornheim, 2006). Thereby,
different high capacity hydrogen storage materials are combined which react exothermically
with each other during decomposition, see Fig. 13.
One of the first examples of such a system is the LiNH2-LiH system which was discovered
by Chen et al. (Chen et al., 2002):
However, the value of reaction enthalpy is |H| = 80 kJ/(mol H2) and therefore for most
applications still much to high. In contrast the system
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910 Thermodynamics – Interaction Studies – Solids, Liquids and Gases
However, several other reaction pathways are possible leading to products such as LiB2,
amorphous B, Li2B12H12 or Li2B10H10. Bösenberg et al. (Bösenberg et al., 2010b) could show
that due to a higher thermodynamic driving force for the favoured reaction the competing
reactions can be suppressed by applying a hydrogen back pressure and limiting the
dehydrogenation temperature. Nevertheless, since long-range diffusion of metal atoms
containing species is required, see Fig. 13, in bulk ball-milled samples dehydrogenation so
far occurs only at temperatures higher than 350 °C, hydrogenation at temperatures higher
than 250 °C.
The dehydrogenation temperatures of this Reactive Hydride Composite, however, can be
significantly reduced by using nanoconfined 2 LiBH4 + MgH2 stabilised in inert nanoporous
aerogel scaffold materials whereby long-range phase separation is hindered and thus the
diffusion path length reduced (Gosalawit-Utke, 2011).
4. Conclusion
Metal hydrides offer a safe and compact alternative for hydrogen storage. The
thermodynamic properties of them determine both their reaction heat as well as hydrogen
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Thermodynamics of Metal Hydrides: Tailoring Reaction Enthalpies of Hydrogen Storage Materials 911
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Thermodynamics - Interaction Studies - Solids, Liquids and Gases
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ISBN 978-953-307-563-1
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