Abstract
Recently, high entropy alloys (HEAs) with body-centred cubic (BCC) single phase structures have attracted wide attention in many fields including hydrogen storage, due to their unique structural characteristics and excellent performance. Its novel design concept provides more possibilities for the investigation of advanced hydrogen storage materials, in which several remarkable research works have been published, providing opportunities for the design of hydrogen storage materials with unprecedented properties. In this review, we combed through the definition and criteria of high entropy alloys, and summarized the current research status of body-centred cubic-structured high entropy alloys for hydrogen storage from multiple perspectives of composition designs, synthesis processes, and hydrogen storage properties. Moreover, the possible application scenarios and future research directions are analysed.
1 Introduction
As an ideal energy carrier and secondary clean energy source, hydrogen shows great prospective in the fields of transportation, industrial fuel and power energy storage owing to its high combustion calorific value and non-polluting characteristics (). The development of the hydrogen energy industry will serve as crucial strategic pillars in driving the global energy transition and meeting decarbonization targets (; ). The hydrogen energy industry chain can be broadly categorised into three parts: hydrogen production, hydrogen storage and transportation, hydrogen application. With the number of policies and projects regarding the hydrogen energy industry expanding rapidly, the safe and efficient hydrogen storage technology has become an essential challenge towards the application of hydrogen at scale. Hydrogen storage can be realized in the state of gas, liquid or solid. Storing hydrogen via high-pressure tanks (∼70 MPa) is currently the most commercially mature method available, but the accompanying safety hazards cannot be ignored (). Liquid hydrogen, despite its high energy load, requires extremely high maintenance power and is therefore more limited to aerospace applications (). Solid-state storage techniques in the form of metal hydrides with high volumetric hydrogen density and security have appeared as attractive alternatives ().
Metal hydride, utilising a reversible chemical interaction of hydride-forming alloys, is the primary focus of the solid-state hydrogen storage community. Researches on these materials have focused on the development of potential candidates with improved bulk and weight capacities, kinetics of rapid hydrogen desorption, and long-term cycling stability (). In promising alloy systems, rare earth-based alloys show excellent potential as they possess favourable room temperature reversible hydrogen absorption/desorption properties and long-term cycling stability (; ), but are more restricted to Ni-MH battery applications due to their low hydrogen storage capacity (). Constrained by the difficulty of activation and sensitivity to impurities, TiFe-based alloys are only the candidates for hydrogen compressor and vehicle applications, despite their low price and fairly low hydrogenation temperature (; ; ; ). The unique advantages of Mg-based alloys in terms of a high hydrogen storage capacity make them a strong contender for vehicle-mounted hydrogen storage materials. Low cost and naturally abundant resources make it possible to scale-up the application of Mg-based alloys, however, the fact that hydrogenation reactions are limited to high temperatures is the biggest obstacle to their practical application, and the slow kinetic properties are also a challenge that cannot be ignored (). Solid-solution alloys (especially V-based alloys) exhibit diverse property tuning and have a wider range of applications. The equilibrium between hydrogen storage performance and hydrogen storage conditions is the primary objective for developing new hydrogen storage materials. There are also some alloys with sub-stable structures that have been reported as hydrogen storage materials, and a review and outlook on such new systems of hydrogen storage alloys is presented by . Among them, high-entropy alloys show unique advantages for hydrogen storage.
High entropy alloys (HEAs), a new alloying strategy with high concentration of multi-principal elements, is expected to enable hydrogen storage performance compatible with hydrogen storage conditions because of its diverse composition, designable phase structure and unique hydrogen performance, especially the proposed concept of single phase HEAs which might provide a brand new inspiration for clarifying the mechanism of hydrogen storage. A growing number of reports suggest that body-centred cubic (BCC)-structured HEAs exhibit better hydrogen storage properties (hydrogen capacity, kinetics, activation and cyclability, etc.) than conventional alloys (; ; ). The composition design and preparation process of these alloys can also have a significant influence on its properties for different hydrogen applications. Although several reviews on high-entropy hydrogen storage alloys have been published, a comprehensive report on BCC-structured HEAs for hydrogen storage is still lacking.
In this paper, the latest research results of HEAs with BCC structure for hydrogen storage are investigated. The preparation of these alloys and their theoretical criteria are briefly mentioned, followed by a compositional design approach based on the reaction of hydrogen with a multi-principal element alloy. Various aspects of hydrogen storage performance (capacity, activation, kinetic properties and cyclability) are described in detail and the potential applications are discussed, as can be seen in Figure 1. This work will contribute to the design and development of single phase HEAs for hydrogen storage.
FIGURE 1
2 Concept and design of HEAs
2.1 Definitions and criteria
The concept of HEAs was published in 2004 and was defined as alloys containing at least five major elements with 5%–35% atomic fraction of each element, which were considered to have a mixing entropy at high temperatures sufficient to overcome the formation enthalpy of the intermetallic phase (ΔSconf > 1.5R) and obtain a stable solid-solution structure (). However, some ternary and quaternary alloys were reported to have similar properties, and thus the definitions of HEAs seem to be inaccurate (; ; ). Subsequently, the concept of multi-principal element alloys reported in the same year started to be accepted by the growing number of academics (), relying on this concept opening up a new and unexplored region of alloy composition. Actually, the definitions of HEAs are only approximate guidelines and not strictly laws, and an increasing number of single phase multi-principal element alloy systems have stimulated intense interest among researchers.
Theoretical design methods for multi-principal element high entropy alloying generally rely on empirical parameter criteria such as atomic size (δ), mixing entropy/enthalpy (ΔHmix/ΔSmix), valence electron concentration (VEC), and some inferred parameters to predict whether the alloy can form a solid solution phase. suggested that multi-principal element alloys tend to form solid solution phases when the atomic radius difference δ < 6.5%, the mixing enthalpy is limited to −15∼–5 kJ/mol and the mixing entropy is limited to 12–17.5 J/(K-mol). have proposed the VEC criterion which suggests that the face-centred cubic (FCC) solid solution phase is more stable for VEC > 8.6 and the BCC solid solution phase is more stable for VEC < 6.87. However, these ideas are built upon the basis that the solid solution phase can be formed in the alloy and cannot be used as a criterion for the formation of HEA phase structures. These studies have shown that using δ, ΔHmix, and ΔSmix as independent criteria has flaws and cannot characterize the solid solution phase formation pattern. Therefore, a new parameter Ω was introduced to represent the thermodynamic stability of the multi-principal element disordered solid solution for a given temperature (), which shows that the solid solution is relatively stable for Ω(T) > 1. The specific expression of the parameter Ω(T) is given by the following equation.where T is the thermodynamic temperature; ΔHmix is the mixing enthalpy and ΔSmix is the mixing entropy. These criteria based on empirical parameters are simply effective in predicting the formation of solid solutions in alloys, especially the Ω criterion. Utilization of these criteria can avoid to some extent the material wastage caused by blind alloy preparation.
2.2 Design strategy of BCC structure HEAs: Theory and calculation method
The design of alloy composition for hydrogen storage should be focused on element-hydrogen interactions, on which appropriate hydride forming element coordination has a significant impact. HEAs pay attention to the elements at the centre of a phase diagram, as shown in Figure 2A, expanding the range of compositional choices ().
FIGURE 2
The design of BCC-structured HEAs for hydrogen storage usually follows the complementarity of the different elements and thus an approximate range of element selection can be determined. To ensure the formation of the solid solution phase, these elements should meet the criteria of atomic size difference δ < 6.5% and parameter Ω > 1. Considering the hydrogen storage properties for different applications, a combination between hydrogen-absorbing elements (lower enthalpy of hydride formation and higher hydrogen affinity) and non-hydrogen-absorbing elements (higher enthalpy of hydride formation and lower hydrogen affinity) is generally required. Figure 2B shows the division of the two types of elements in the periodic table (
The design from empirical parameter criteria was widely used. Nygård demonstrated that the hydrogen storage properties of the alloy can be predicted from the VEC: a lower hydrogen desorption temperature corresponds to a higher VEC, because the thermal stability of hydride is influenced by the VEC. While Nygård also suggested that VEC can be helpful for predicting the hydrogen storage capacity in the design of HEA and considered VEC = 5.0 as the hydrogen capacity threshold (
The computational phase diagram (CALPHAD model) guides the design by calculating the phase equilibrium relationship of the system based on thermodynamic parameters. Database construction, which is the basis for predicting phase equilibria of multi-component alloys, has become the focus of designing new hydrogen storage alloys. The phase structure prediction of HEAs relies on extrapolation, which is accomplished because the current database is primarily constructed from thermodynamic evaluations of simple metal-hydrogen systems (pure elemental, binary and ternary), but a great match between predictions and experimental results has been reported.
Computational approach is promising for implementing composition design based on hydrogenation performance requirements.
FIGURE 3

Comparison between calculated and experimental PCT curves for (TiVNb)85Cr15 at different temperatures (
Empirical parameters (e.g., VEC, atomic mismatch) are used to guide the compositional design, but there are certain deficiencies considering the vast range of HEAs for hydrogen storage. The complex and lengthy experimental validation process limits the exploration of effective compositions. Using computational tools to simulate and predict the thermodynamic properties has become an attractive option, which has the advantage of quickly screening the thermodynamic properties of a large number of element combinations based on the target properties. Those models can further enhance the extent and accuracy of predictions in conjunction with the thermodynamic calculations (DFT methods). Thus, it is suggested that the future composition design of high-entropy hydrogen storage alloys should be relying on computational methods as it enables saving significant experimental costs.
3 Synthesis of BCC-structured HEAs
The synthesis process of BCC-structured HEAs can be classified as: melting and casting, mechanical alloying and powder metallurgy, according to the existing research and application experience. It is basically the same as that of conventional structure alloys, but also with special features to ensure their single-phase structure.
The melting and casting method is usually performed under a protective atmosphere, which is used to protect the alloys from oxidation during the melting process as well as the introduction of impurities. Vacuum arc melting (VAM) is a commonly used synthesis method for HEAs in the hydrogen storage community. It utilizes the arc heat generated by the discharge between electrodes to rapidly heat the raw materials to the molten state and remove some volatile impurities, while the uniformity of the composition can be ensured (remelting ≥ 5 times). The fused alloy liquid is then cooled and solidified in the copper crucible to obtain the HEA lump.
FIGURE 4

XRD patterns of the TiVNbCr system alloy synthesized by the VAM method (A) (
Mechanical alloying (MA) is another synthesis technology to achieve atomic level alloying between elements by subjecting metal powders to repeated deformation, cold welding, and crushing through ball milling, also referred to as high-energy ball milling technology (HEBM).
While classical metallurgical techniques such as VAM and MA are capable of synthesizing individual components, the development of high-throughput techniques for the production and screening of HEAs is more beneficial for exploring their vast compositional design space.
4 Hydrogen storage properties of BCC-structured HEAs
BCC HEAs have been widely studied in solid-state hydrogen storage, and many alloy compositions with excellent performance have been discussed as summarized in Table 1. We will discuss the hydrogen storage properties of BCC-structured high-entropy alloys separately in the following.
TABLE 1
| HEA composition | Synthesis and processes | Hydrogen absorption capacity (wt%) | H/M | Hydrogen absorption kinetics | Onset/peak temperature of desorption, °C | Ref |
|---|---|---|---|---|---|---|
| TiVZrNbHf | AM | ∼2.7 | 2.5 | — | 200/400 (TDS) | |
| TiZrNbHf | AM (Ar) | — | ∼1.95 | — | 300/400 (TGA/DSC) | |
| Ti0.5VZrNbHf | AM (Ar) | — | ∼2.0 | — | <400 (TGA/DSC) | |
| TiV0.5ZrNbHf | AM (Ar) | — | ∼2.0 | — | <400 (TGA/DSC) | |
| Ti0.2Zr0.2Hf0.2Mo0.1Nb0.3 | AM | 1.54 (REV) | — | — | 332 (TGA/DSC) | |
| Ti0.2Zr0.2Hf0.2Mo0.3Nb0.1 | AM | 1.4 (REV) | — | — | 164 (TGA/DSC) | |
| TiZrHfMoNb | AM | 1.18 (REV) | — | — | 300 (TGA/DSC) | |
| TiZrNbHfTa | AM | — | 2.0 | — | 183 (1st. Peak) | |
| 375 (2nd. Peak) | ||||||
| 485 (3rd. Peak) (TDS/DSC) | ||||||
| Ti4V3NbCr2 | VAM | 3.7 | ∼2.0 | 3.7 wt% in 150 s (300 K, 50 bar H2) | 423 (DSC) | |
| TiVCrNb | AM (Ar) | 1.96 (REV) | ∼1.9 | — | 200 (DSC) | |
| Al0.1Ti0.3V0.25Zr0.1Nb0.25 | AM | 2.6 | 1.6 | ∼2.6 wt% in 300 s (298 K, 25 bar H2) | 110/130 (1st. Peak) | |
| 286 (2nd. Peak) (TDS) | ||||||
| V48Fe12Ti30Cr10 | AM | 2.81 | — | ∼2.6 wt% in 140 s (295 K, 5 MPa H2) | 156 (DSC) | |
| (V48Fe12Ti30Cr10)95La5 | AM | ∼2.3 | — | ∼2.0 wt% in 100 s (295 K, 5 MPa H2) | 273 (DSC) | |
| Mg0.1Ti0.3V0.25Zr0.1Nb0.25 | HEBM (Ar) | 2.7 | 1.72 | 2.7 wt% in 60 s (298 K, 25 bar H2) | 290 (TDS) | |
| MgZrTiFe0.5Co0.5Ni0.5 | HEBM (Ar) | 1.2 | — | 1.0 wt% in 30 min (623 K, 2 MPa H2) | 230/300 (1st. Peak) | |
| 375 (Peak) (DSC/QMS) | ||||||
| Mg13Al11Ti33Mn11Nb33 | HEBM (Ar) | 1.7 | 1.0 | — | — | |
| Mg35Al15Ti25V10Zn15 | HEBM (Ar) | 2.5 | — | 2.5 wt% in 4 h (648 K, 4 MPa H2) | 400 (TGA/DSC/QMS) | |
| V30Ti30Cr25Fe10Nb5 | AM (Ar) | 2.77 | — | — | — | |
| V35Ti30Cr25Fe5Mn5 | AM (Ar) | 3.41 | — | — | — |
Reported BCC-structured HEAs’ hydrogen storage performance.
Note: Here AM refers to arc melting.
Through Table 1 we note that most combinations of high melting point elements can have hydrogen-to-metal ratios of 2 or even higher. We consider that the TiVCr system HEAs is the most promising alloy for hydrogen storage because it exhibits a rather high hydrogen capacity and rapid hydrogenation kinetic properties. Meanwhile, the arc melting method is the mainstream synthesis method for refractory alloys, which is more helpful for alloy homogeneity and solid solution structure retention.
4.1 Hydrogen capacity
For most BCC alloys, the hydrogen-to-metal ratio can reach 2 or even higher. In this paper, we used weight percent (wt%) as the standard unit of hydrogen capacity.
4.2 Activation
In most cases, the BCC structure alloys need to be activated through hydrogen absorption/desorption cycles at high temperature and high pressure to achieve hydrogen absorption at room temperature.
4.3 Hydrogenation kinetics
The hydrogenation kinetics of HEAs is commonly described as the elapsed time for the alloy to reach 90% of its full hydrogen storage capacity.
FIGURE 5

Hydrogenation kinetics of TiZrNbTa alloy at different temperatures (A) (
4.4 Hydrogenation thermodynamics
The calculation of alloy thermodynamic parameters (ΔH, ΔS) from PCT curves with Van’t Hoff equation is widely accepted, although the actual tested PCT curves have a large deviation from the ideal isotherm shape.
In most reports, overly stable hydrides are considered to account for the difficulty in hydrogen desorption in HEAs with BCC structure. As reported by
4.5 Cycling property
The critical aspect of investigating its cyclic performance is to mitigate the cyclic decay of the effective hydrogen storage capacity, in consideration of the two-step hydrogen absorption/desorption characteristics for BCC HEA. Previously,
FIGURE 6

Hydrogen capacity of Ti2VCr alloy for 10 cycles at room temperature (the alloy is heated at 673 K under diffusion vacuum before each cycle) (A) (
5 Potential applications for BCC-structured HEAs
Currently, BCC-structured HEAs show excellent hydrogen storage properties such as high hydrogen capacity, fast kinetics, high temperature stability, and reliable cycling stability, with differences in performance focus for different application directions. Possible application scenarios are described as follows.
5.1 Explosives or solid propellants
Enhancing the combustion and explosive performance of explosives or solid propellants through the addition of metal hydrides has been recognized in many studies, in which AlH3 is considered as a potential alternative to Al mixed in solid propellants because AlH3 fuels possess a higher specific impulse compared to Al fuels at the same mass fraction (
5.2 Hydrogen transportation industry
Hydrogen storage alloys are the pillars of hydrogen energy industry development and can be involved in hydrogen storage, transportation and refuelling. BCC HEAs are promising materials for hydrogen storage and transportation, which combine high reversible hydrogen storage capacity with suitable thermodynamic properties for efficient and safe hydrogen storage and transportation. In the construction of hydrogen refuelling stations, hydrogen compressors play a central role.
FIGURE 7

Schematic diagram of a three-stage hydrogen compressor (A); and working principle of hydrogen compression materials (B) (
5.3 Grid energy storage and high temperature thermal storage
Renewable energy sources (e.g. solar, wind, tidal, etc.) are increasingly penetrating microgrids and district power supply systems, but their intermittent and uncontrollable characteristics are a serious challenge for large-scale application (
The research of high-temperature thermal storage materials is classified into sensible heat storage, latent heat storage and thermochemical heat storage materials according to different heat storage pathways. The thermochemical energy storage through the reversible reaction of metal and hydrogen has been reported for long, such as MgH which achieves reversible thermochemical high-temperature thermal storage at 500°C with excellent thermal storage capacity (0.6–0.7 kWh/kg Mg).
6 Conclusion
BCC-structural HEAs offer more possibilities for the development of hydrogen storage materials with great potential for hydrogen storage in application. From this investigation, the conclusions we obtained are shown as follows:
1. The composition design of BCC-structured HEAs for hydrogen storage will increasingly rely on computational methods, especially based on the expected properties to down-select the promising compositions.
2. A suitable preparation process can stabilize the BCC structure of HEA, which is more conducive to the investigation of its hydrogen storage properties.
3. Almost all hydrogen storage alloys with high hydrogen capacity face the challenge of difficult hydrogen desorption, so reducing the temperature of hydrogen desorption and improving the cyclic performance of the alloy will be the main future development direction for the hydrogen storage performance of BCC-structured HEAs.
4. More or less shortcomings in the performance of BCC-structured HEAs are reported as “potential materials” in many application scenarios, which makes the rapid research and development methods of their active ingredients increasingly important.
Statements
Author contributions
LK, BC, and DW contributed to conception and design of the study. LK and BC organized the database. LK wrote the first draft of the manuscript. BC, DW, and YX wrote sections of the manuscript. DW and YX supervised the study. All authors contributed to manuscript revision, read, and approved the submitted version.
Funding
This research was funded by Graduate Interdisciplinary Innovation Project of Yangtze Delta Region Academy of Beijing Institute of Technology (Jiaxing), No. GIIP 2022-012.
Conflict of interest
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
Publisher’s note
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Summary
Keywords
high entropy alloys, BCC, solid-state hydrogen storage, hydrogen storage capacity, kinetics, thermodynamics
Citation
Kong L, Cheng B, Wan D and Xue Y (2023) A review on BCC-structured high-entropy alloys for hydrogen storage. Front. Mater. 10:1135864. doi: 10.3389/fmats.2023.1135864
Received
02 January 2023
Accepted
17 January 2023
Published
26 January 2023
Volume
10 - 2023
Edited by
Wei Qin, Changsha University of Science and Technology, China
Reviewed by
Huai-Jun Lin, Jinan University, China
Claudia Zlotea, Centre National de la Recherche Scientifique (CNRS), France
Jacques Huot, Université du Québec à Trois-Rivières, Canada
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© 2023 Kong, Cheng, Wan and Xue.
This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
*Correspondence: Di Wan, di.wan.rwth@gmail.com
† Present address: Di Wan, School of Materials Science and Engineering, Beijing Institute of Technology, Beijing, China; Advance Research Institute of Multidisciplinary Science, Beijing Institute of Technology, Beijing, China
This article was submitted to Energy Materials, a section of the journal Frontiers in Materials
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