A combined DFT and NPD approach to determine the structure and composition of the ε-phase of tungsten boride
Source abstract
Abstract
The ε-phase of tungsten boride, conventionally labelled as W2B5, has been identified as a promising candidate for shielding application in spherical tokamak fusion reactors. However, further research has been hindered by a lack of agreement on the structure and even composition of the ε-phase. Here, we identify the stable crystal structure and stoichiometry range of ε tungsten borides through a combination of ab initio simulations and neutron diffraction of isotopically enriched samples. We considered the ability to accommodate hypo-stoichiometry in six published structures of the ε phase. Chemical disorder was modelled using configurational ensembles to account for entropy of non-stoichiometry. We show that two W2B4-x structures (with x=∼0.25 − 0.5), with space group symmetry P63/mmc and P63/mcm, appear to be thermodynamically stable. These candidate compounds have 6.2 − 7.8 at.% less B than the W2B5 composition reported in exiting phase diagrams. We confirm these findings by means of neutron powder diffraction, performed on 11B-enriched arc-melted and crushed samples. Rietveld refinement using the neutron data shows the ε-phase to be better described as W2B3.60(2) (P63/mcm), in keeping with density functional theory (DFT) calculations. Linear change in DFT-derived lattice parameters of the candidates for the ε-phase proposes a simple model to assess the tungsten boride composition by measuring the lattice parameter (e.g. by X-ray diffraction. The simulations also reveal that the material can accommodate a range of stoichiometric variations (via B vacancies) with relatively small stored energy, which is a desirable feature for neutron shielding application.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Nuclear Materials and Properties · Rare-earth and actinide compounds · High-pressure geophysics and materials
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (54)
Show source-provided references
1. Tungsten boride shields in a spherical tokamak fusion power plant
2. Activation and transmutation of tungsten boride shields in a spherical tokamak10.1088/1741-4326/ac4866 ↗
3. Design of cemented tungsten carbide and boride-containing shields for a fusion power plant10.1088/1741-4326/aabdb0 ↗
4. A high temperature W2B–W composite for fusion reactor shielding
5. The structure and hardness of the highest boride of tungsten, a borophene-based compound10.1038/s41598-017-04394-1 ↗
6. Hard Alloys
7. Matkovich · 1977
8. Double SHS of W2B5 powder from CaWO4 and B2O310.4028/www.scientific.net/AST.63.246 ↗
9. Phase stability and mechanical properties of tungsten borides from first principles calculations10.1039/c004122j ↗
10. Stability and strength of transition-metal tetraborides and triborides10.1103/PhysRevLett.108.255502 ↗
11. Peculiar structure and tensile strength of WB4: nonstoichiometric origin10.1063/1.3696721 ↗
12. Thermodynamic identification of tungsten borides10.1103/PhysRevB.83.220102 ↗
13. New tungsten borides, their stability and outstanding mechanical properties10.1021/acs.jpclett.8b01262 ↗
14. Modelling the power deposition into a spherical tokamak fusion power plant10.1088/1741-4326/57/3/036001 ↗
15. Smaller and quicker with spherical tokamaks and high-temperature superconductors
16. Shielding materials in the compact spherical tokamak
17. Compact fusion energy based on the spherical tokamak10.1088/1741-4326/aa8c8d ↗
18. Heat deposition into the superconducting central column of a spherical tokamak fusion plant10.1088/0029-5515/55/2/023014 ↗
19. The crystal structures of molybdenum and tungsten borides10.3891/acta.chem.scand.01-0893 ↗
20. Formation process of tungsten borides by solid state reaction between tungsten and amorphous boron10.1007/BF01086475 ↗
21. Preparations and some properties of W2B, δ -WB and WB2 crystals from high-temperature metal solutions10.1143/JJAP.34.226 ↗
22. Woods, H.P., F.E. Wawner, Jr., and B.G.J.S. Fox, Tungsten diboride: preparation and structure. 1966. 151: p. 75.10.1126/science.151.3706.75 ↗
23. Neutron diffraction and observation of superconductivity for tungsten borides, WB and W2B410.1016/j.solidstatesciences.2012.05.036 ↗
24. Mohammadi, R., et al., Tungsten tetraboride, an inexpensive superhard material. 2011. 108(27): p. 10958-10962.10.1073/pnas.1102636108 ↗
25. The characterization of borided pure tungsten10.1016/j.surfcoat.2004.06.042 ↗
26. M2B5 or M2B4? A reinvestigation of the Mo/B and W/B system10.1002/zaac.200700376 ↗
27. The structure of Ru2B3 and WB2. 0 as determined by single-crystal diffractometry, and some notes on the WB system
28. Composition and crystallographic data for the highest boride of tungsten10.1107/S0365110X6600063X ↗
29. Kayhan, M., Transition metal borides: synthesis, characterization and superconducting properties. 2013.
30. Ab initio molecular dynamics for liquid metals10.1103/PhysRevB.47.558 ↗
31. Ab initio molecular-dynamics simulation of the liquid-metal–amorphous-semiconductor transition in germanium10.1103/PhysRevB.49.14251 ↗
32. Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set10.1016/0927-0256(96)00008-0 ↗
33. Generalized gradient approximation made simple10.1103/PhysRevLett.77.3865 ↗
34. Projector augmented-wave method10.1103/PhysRevB.50.17953 ↗
35. From ultrasoft pseudopotentials to the projector augmented-wave method10.1103/PhysRevB.59.1758 ↗
36. Special points for Brillouin-zone integrations10.1103/PhysRevB.13.5188 ↗
37. High-precision sampling for Brillouin-zone integration in metals10.1103/PhysRevB.40.3616 ↗
38. A DFT study to determine the structure and composition of ε-W2B5−x10.1016/j.jallcom.2022.164962 ↗
39. Electron-energy-loss spectra and the structural stability of nickel oxide: An LSDA+U study10.1103/PhysRevB.57.1505 ↗
40. Symmetry-adapted configurational modelling of fractional site occupancy in solids10.1088/0953-8984/19/25/256201 ↗
41. Echidna—the new high-resolution powder diffractometer being built at OPAL10.1016/j.physb.2006.05.322 ↗
42. ECHIDNA: a decade of high-resolution neutron powder diffraction at OPAL10.1107/S1600576718014048 ↗
43. Certification of standard reference material 660B10.1154/1.3591064 ↗
44. GSAS-II: the genesis of a modern open-source all purpose crystallography software package10.1107/S0021889813003531 ↗
45. Neutron scattering lengths and cross sections10.1080/10448639208218770 ↗
46. Neutron activation and scattering calculator [Accessed 31 June 2022]. Available from: https://www.ncnr.nist.gov/resources/activation/.
47. The X-ray structural analysis of SiB6
48. Structure determination of α-quartz up to 68 x 108 Pa10.1107/S056774087900412X ↗
49. Kiessling, R., et al., The crystal structures of molybdenum and tungsten borides. 1947. 1: p. 893-916.10.3891/acta.chem.scand.01-0893 ↗
50. Global structural optimization of tungsten borides10.1103/PhysRevLett.110.136403 ↗
51. Unexpected stable phases of tungsten borides10.1039/C8CP04222E ↗
52. Crystal structures and formation mechanisms of boron-rich tungsten borides10.1103/PhysRevB.104.014110 ↗
53. Computational materials discovery: the case of the W-B system10.1107/S2053229613027551 ↗
54. Brandes · 2013 · 11