
Fig. 1
FexB structures: (a) FeB, (b) Fe2B and (c) Fe3B.

Fig. 2
Dependence of magnetic moment vs. pressure for FexB [11].

Fig. 3
The calculated total DOS with spin polarization and at critical pressure of FexB.
Table 1
The calculated full set of elastic constants of FexB (GPa) [11].
| Species | Elastic constants | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| C11 | C22 | C33 | C12 | C13 | C23 | C44 | C55 | C66 | |
| FeB (0 GPa) | 389.82 | 438.36 | 557.07 | 286.85 | 183.12 | 239.76 | 218.8 | 132.25 | 212.01 |
| 373.7aa | 434.1aa | 503.4aa | 246aa | 184.4aa | 209.1aa | 207.4aa | 117.7aa | 193.7aa | |
| FeB (77 GPa) | 718.5 | 752.6 | 993.9 | 583.2 | 350.1 | 492.4 | 296.4 | 243.3 | 354.4 |
| Fe2B (0 GPa) | 459.7 | 426.3 | 165.6 | 132.3 | 162.6 | 173.7 | |||
| 413bb | 389bb | 154bb | 132bb | 148bb | 157bb | ||||
| Fe2B (85 GPa) | 1010.4 | 839 | 541.3 | 488.4 | 298 | 288.4 | |||
| Fe3B (0 GPa) | 281.7 | 337.5 | 354 | 126.7 | 165.3 | 182.2 | 130.2 | 118.7 | 175.6 |
| 263.3aa | 302.7aa | 318.4aa | 133.5aa | 162.8aa | 178.6aa | 110.2aa | 101.2aa | 158.7aa | |
| Fe3B (55 GPa) | 694 | 826 | 778.5 | 485.5 | 444.75 | 403.6 | 193.1 | 195.8 | 307.7 |
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Table 2
Polycrystalline elastic properties and anisotropy factors of Fe-B system.
| Species | By | BR | GV | GR | A1 | A2 | A3 | Au | AG | AB |
|---|---|---|---|---|---|---|---|---|---|---|
| FeB (0 GPa) | 308.37 287.8aa | 302.80 284.6aa | 155.66 148.5aa | 125.47 130.9aa | 1.57 1.63aa | 1.04 0.91aa | 3.38 2.45aa | 1.22 0.68aa | 10.74 5.85aa | 0.91 0.62aa |
| FeB (77 GPa) | 621.69 | 612.49 | 260.17 | 190.38 | 1.17 | 1.28 | 4.65 | 1.85 | 15.49 | 0.75 |
| Fe2B (0 GPa) | 245.11 222.7aa | 244.07 221.8aa | 160.82 144.4aa | 160.21 143.6aa | 1.18 1.07aa | 1.18 1.07aa | 0.26 1.23aa | 0.02 0.03aa | 0.19 0.28aa | 0.21 0.20aa |
| Fe2B (85 GPa) | 655.09 | 646.32 | 266.31 | 260.30 | 1.23 | 1.23 | 0.34 | 0.13 | 1.14 | 0.67 |
| Fe3B (0 GPa) | 213.51 203.8aa | 207.55 199.5aa | 118.15 101.3aa | 107.50 90.6aa | 1.71 1.72aa | 1.45 1.53aa | 1.92 2.12aa | 0.52 0.61aa | 4.72 5.58aa | 1.41 1.07aa |
| Fe3B (55 GPa) | 551.81 | 550.01 | 203.62 | 186.77 | 1.33 | 0.98 | 2.24 | 0.45 | 4.31 | 0.16 |
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Table 3
The calculated bulk, Young’s (E) and shear modulus (G) of FexB (under 0 and critical pressure, in GPa), Poisson’s ratio (v) and B/G ratio along with other available values.
| Species | B | E | G | v | B/G |
|---|---|---|---|---|---|
| FeB (0 GPa) | 305.6 | 365.7 | 140.6 | 0.30 | 2.174 |
| 286.6aa | 360.5aa | 139.7aa | 0.29aa | 2.05aa | |
| FeB (77 GPa) | 617.1 | 567.5 | 225.3 | 0.34 | 2.76 |
| Fe2B (0 GPa) | 244.6 | 395.2 | 160.5 | 0.23 | 1.52 |
| 222.3aa | 355aa | 144aa | 0.23aa | 1.54aa | |
| Fe2B (85 GPa) | 651 | 695.4 | 263 | 0.32 | 2.48 |
| Fe3B (0 GPa) | 210 | 285.3 | 112 | 0.27 | 1.875 |
| 201.6aa | 248.5aa | 96aa | 0.3aa | 2.1aa | |
| Fe3B (55 GPa; | 551 | 524 | 195.2 | 0.34 | 2.82 |
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Fig. 4
Illustration of directional dependence of Young’s modulus of Fe-B compounds: the left panel at 0 GPa pressure (a) FeB, (b) Fe2B and (c) Fe3B, and the right panel at critical pressure (d) FeB 77 GPa, (e) Fe2B 85 GPa and (f) Fe3B 55 GPa.

Fig. 5
Projections of Young modulus for FexB compounds.

Fig. 6
Illustration of directional dependence of bulk modulus of Fe-B compounds: Left panel at 0 GPa pressure (a) FeB, (b) Fe2B and (c) Fe3B, and right panel at critical pressure (d) FeB 77 GPa, (e) Fe2B 85 GPa and (f) Fe3B 55 GPa.

Fig. 7
Projections of bulk modulus for FexB compounds.