J. Mater. Sci. Technol. ›› 2019, Vol. 35 ›› Issue (7): 1432-1438.DOI: 10.1016/j.jmst.2019.03.005
• Orginal Article • Previous Articles Next Articles
Fu-Zhi Dai, Huimin Xiang, Yinjie Sun, Yanchun Zhou*()
Received:
2019-02-02
Revised:
2019-02-16
Accepted:
2019-02-25
Online:
2019-07-20
Published:
2019-06-20
Contact:
Zhou Yanchun
About author:
1These authors contributed equally to this work.
Fu-Zhi Dai, Huimin Xiang, Yinjie Sun, Yanchun Zhou. M2M'AlB4 (M = Mn, Fe, Co, M' = Cr, Mo, W): Theoretical predicted ordered MAB phases with Cr3AlB4 crystal structure[J]. J. Mater. Sci. Technol., 2019, 35(7): 1432-1438.
Fig. 2. Enthalpy change maps of (a) $H_{orderedM_{2}M’AlB_{4}}-\sum_{i}n_{i}H^{i}_{competition phase}$, (b) $H_{orderedM_{2}M’AlB_{4}}-\frac{2}{3}H_{M_{3}AlB_{4}}-\frac{1}{3}H_{M’_{3}AlB_{4}}$, and (c) $H_{orderedM_{2}M’AlB_{4}}-H_{disorderedM_{2}M’AlB_{4}}$ for M, M’ = Cr, Mo, W, Mn, Fe, Co and Ni.
Fig. 3. Contour surface of ΔG with respect to ΔHordering and T. The line with ΔG = 0 represents the phase boundary between ordered and disordered M2M’AlB4 phases.
Compounds | a (?) | b (?) | c (?) | z2t? | z2q | z2s | Δs (μB)? |
---|---|---|---|---|---|---|---|
Cr3AlB4 | 2.9364 | 2.9359 | 8.0823 | 0.2031 | 0.2776 | 0.3923 | 0.00 |
Mn2CrAlB4 | 2.9458 | 2.8443 | 8.1215 | 0.1968 | 0.2794 | 0.3925 | 0.74 |
Fe2CrAlB4 | 2.9500 | 2.7966 | 8.1205 | 0.2023 | 0.2781 | 0.3919 | 2.42 |
Co2CrAlB4 | 2.9540 | 2.8704 | 8.0681 | 0.2062 | 0.2784 | 0.3917 | 0.00 |
Mn2MoAlB4 | 2.9777 | 3.0227 | 8.1172 | 0.2010 | 0.2703 | 0.3847 | 2.38 |
Fe2MoAlB4 | 2.9516 | 3.0341 | 8.0478 | 0.2047 | 0.2702 | 0.3842 | 1.77 |
Co2MoAlB4 | 2.9914 | 3.0435 | 8.0489 | 0.2059 | 0.2714 | 0.3840 | 0.00 |
Mn2WAlB4 | 2.9710 | 3.0524 | 8.1130 | 0.2015 | 0.2703 | 0.3847 | 2.49 |
Fe2WAlB4 | 2.9528 | 3.0530 | 8.0388 | 0.2058 | 0.2697 | 0.3837 | 1.65 |
Co2WAlB4 | 2.9863 | 3.0714 | 8.0307 | 0.2060 | 0.2714 | 0.3838 | 0.00 |
Table 1 Lattice parameters (a, b, c), atomic positions (z2t, z2q, z2s) and Δs of Cr3AlB4 and ordered M2M'AlB4 (M = Mn, Fe and Co and M' = Cr, Mo and W).
Compounds | a (?) | b (?) | c (?) | z2t? | z2q | z2s | Δs (μB)? |
---|---|---|---|---|---|---|---|
Cr3AlB4 | 2.9364 | 2.9359 | 8.0823 | 0.2031 | 0.2776 | 0.3923 | 0.00 |
Mn2CrAlB4 | 2.9458 | 2.8443 | 8.1215 | 0.1968 | 0.2794 | 0.3925 | 0.74 |
Fe2CrAlB4 | 2.9500 | 2.7966 | 8.1205 | 0.2023 | 0.2781 | 0.3919 | 2.42 |
Co2CrAlB4 | 2.9540 | 2.8704 | 8.0681 | 0.2062 | 0.2784 | 0.3917 | 0.00 |
Mn2MoAlB4 | 2.9777 | 3.0227 | 8.1172 | 0.2010 | 0.2703 | 0.3847 | 2.38 |
Fe2MoAlB4 | 2.9516 | 3.0341 | 8.0478 | 0.2047 | 0.2702 | 0.3842 | 1.77 |
Co2MoAlB4 | 2.9914 | 3.0435 | 8.0489 | 0.2059 | 0.2714 | 0.3840 | 0.00 |
Mn2WAlB4 | 2.9710 | 3.0524 | 8.1130 | 0.2015 | 0.2703 | 0.3847 | 2.49 |
Fe2WAlB4 | 2.9528 | 3.0530 | 8.0388 | 0.2058 | 0.2697 | 0.3837 | 1.65 |
Co2WAlB4 | 2.9863 | 3.0714 | 8.0307 | 0.2060 | 0.2714 | 0.3838 | 0.00 |
c11 | c22 | c33 | c44 | c55 | c66 | c12 | c13 | c23 | |
---|---|---|---|---|---|---|---|---|---|
Cr3AlB4 | 560 | 468 | 461 | 170 | 197 | 199 | 130 | 134 | 119 |
Mn2CrAlB4 | 508 | 450 | 430 | 165 | 176 | 196 | 109 | 170 | 131 |
Fe2CrAlB4 | 455 | 295 | 374 | 137 | 146 | 188 | 198 | 178 | 158 |
Co2CrAlB4 | 465 | 350 | 403 | 117 | 118 | 157 | 144 | 148 | 155 |
Mn2MoAlB4 | 491 | 334 | 355 | 143 | 171 | 187 | 203 | 132 | 154 |
Fe2MoAlB4 | 446 | 393 | 366 | 119 | 142 | 171 | 189 | 140 | 132 |
Co2MoAlB4 | 471 | 398 | 417 | 96 | 118 | 148 | 155 | 116 | 138 |
Mn2WAlB4 | 492 | 354 | 336 | 144 | 171 | 188 | 205 | 138 | 160 |
Fe2WAlB4 | 472 | 413 | 378 | 117 | 136 | 173 | 190 | 142 | 142 |
Co2WAlB4 | 495 | 426 | 421 | 97 | 117 | 150 | 156 | 120 | 136 |
B | G | E | ν | G/B | |||||
Cr3AlB4 | 249 | 186 | 448 | 0.201 | 0.747 | ||||
Mn2CrAlB4 | 245 | 171 | 417 | 0.216 | 0.701 | ||||
Fe2CrAlB4 | 238 | 127 | 325 | 0.273 | 0.535 | ||||
Co2CrAlB4 | 233 | 128 | 325 | 0.267 | 0.550 | ||||
Mn2MoAlB4 | 236 | 140 | 352 | 0.252 | 0.595 | ||||
Fe2MoAlB4 | 234 | 134 | 338 | 0.259 | 0.573 | ||||
Co2MoAlB4 | 233 | 129 | 326 | 0.267 | 0.551 | ||||
Mn2WAlB4 | 239 | 140 | 352 | 0.254 | 0.587 | ||||
Fe2WAlB4 | 244 | 136 | 345 | 0.264 | 0.559 | ||||
Co2WAlB4 | 240 | 132 | 335 | 0.267 | 0.551 |
Table 2 Elastic properties of Cr3AlB4 and ordered M2M'AlB4 (M = Mn, Fe and Co and M' = Cr, Mo and W) phases.
c11 | c22 | c33 | c44 | c55 | c66 | c12 | c13 | c23 | |
---|---|---|---|---|---|---|---|---|---|
Cr3AlB4 | 560 | 468 | 461 | 170 | 197 | 199 | 130 | 134 | 119 |
Mn2CrAlB4 | 508 | 450 | 430 | 165 | 176 | 196 | 109 | 170 | 131 |
Fe2CrAlB4 | 455 | 295 | 374 | 137 | 146 | 188 | 198 | 178 | 158 |
Co2CrAlB4 | 465 | 350 | 403 | 117 | 118 | 157 | 144 | 148 | 155 |
Mn2MoAlB4 | 491 | 334 | 355 | 143 | 171 | 187 | 203 | 132 | 154 |
Fe2MoAlB4 | 446 | 393 | 366 | 119 | 142 | 171 | 189 | 140 | 132 |
Co2MoAlB4 | 471 | 398 | 417 | 96 | 118 | 148 | 155 | 116 | 138 |
Mn2WAlB4 | 492 | 354 | 336 | 144 | 171 | 188 | 205 | 138 | 160 |
Fe2WAlB4 | 472 | 413 | 378 | 117 | 136 | 173 | 190 | 142 | 142 |
Co2WAlB4 | 495 | 426 | 421 | 97 | 117 | 150 | 156 | 120 | 136 |
B | G | E | ν | G/B | |||||
Cr3AlB4 | 249 | 186 | 448 | 0.201 | 0.747 | ||||
Mn2CrAlB4 | 245 | 171 | 417 | 0.216 | 0.701 | ||||
Fe2CrAlB4 | 238 | 127 | 325 | 0.273 | 0.535 | ||||
Co2CrAlB4 | 233 | 128 | 325 | 0.267 | 0.550 | ||||
Mn2MoAlB4 | 236 | 140 | 352 | 0.252 | 0.595 | ||||
Fe2MoAlB4 | 234 | 134 | 338 | 0.259 | 0.573 | ||||
Co2MoAlB4 | 233 | 129 | 326 | 0.267 | 0.551 | ||||
Mn2WAlB4 | 239 | 140 | 352 | 0.254 | 0.587 | ||||
Fe2WAlB4 | 244 | 136 | 345 | 0.264 | 0.559 | ||||
Co2WAlB4 | 240 | 132 | 335 | 0.267 | 0.551 |
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