J. Mater. Sci. Technol. ›› 2020, Vol. 39: 161-166.DOI: 10.1016/j.jmst.2019.01.017
• Research Article • Previous Articles Next Articles
Fu-Zhi Daia, Haiming Zhangab, Huimin Xianga, Yanchun Zhoua*()
Received:
2018-11-18
Revised:
2019-01-10
Accepted:
2019-01-22
Published:
2020-02-15
Online:
2020-03-11
Contact:
Zhou Yanchun
Fu-Zhi Dai, Haiming Zhang, Huimin Xiang, Yanchun Zhou. Theoretical investigation on the stability, mechanical and thermal properties of the newly discovered MAB phase Cr4AlB4[J]. J. Mater. Sci. Technol., 2020, 39: 161-166.
Compounds | Cr2AlB2 | Cr4AlB4 | Cr6AlB6 |
---|---|---|---|
space group | Cmmm | Immm | Cmmm |
Z | 2 | 2 | 2 |
Experimental lattice parameters [ Lattice constants (Å) | a = 2.9373 | a = 2.9343 | |
b = 11.0513 | b = 18.8911 | ||
c = 2.9675 | c = 2.9734 | ||
Atomic positions | Cr1 4g(0,0.2937,0) | ||
Cr 4i(0,0.1474,0) | Cr2 4h(0.5,0.5860,0) | ||
Al 2c(0,0.5,0.5) | Al 2b(0,0.5,0.5) | ||
B 4j(0,0.2941,0.5) | B1 4h(0,0.3840,0.5) | ||
B2 4g(0.5,0.6646,0.5) | |||
Geometry optimized lattice parameters Lattice constants (Å) | a = 2.9352 | a = 2.9321 | a = 2.9715 |
b = 11.0160 | b = 18.9116 | b = 21.3894 | |
c = 2.9533 | c = 2.9522 | c = 2.9610 | |
Atomic positions | Cr1 4g(0,0.2926,0) | Cr1 4i(0.5,0.0608,0) | |
Cr 4i(0,0.1468,0) | Cr2 4h(0.5,0.5866,0) | Cr2 4i(0,0.1459,0) | |
Al 2c(0,0.5,0.5) | Al 2b(0,0.5,0.5) | Cr3 4j(0.5,0.2069,0.5) | |
B 4j(0,0.2940,0.5) | B1 4h(0,0.3813,0.5) | Al 2d(0,0,0.5) | |
B2 4g(0.5,0.6709,0.5) | B1 4j(0,0.0837,0.5) | ||
B2 4j(0.5,0.1207,0.5) | |||
B2 4j(0,0.2313,0.5) |
Table 1 Experimental and geometry optimized lattice parameters of Cr2nAlB2n (n = 1-3).
Compounds | Cr2AlB2 | Cr4AlB4 | Cr6AlB6 |
---|---|---|---|
space group | Cmmm | Immm | Cmmm |
Z | 2 | 2 | 2 |
Experimental lattice parameters [ Lattice constants (Å) | a = 2.9373 | a = 2.9343 | |
b = 11.0513 | b = 18.8911 | ||
c = 2.9675 | c = 2.9734 | ||
Atomic positions | Cr1 4g(0,0.2937,0) | ||
Cr 4i(0,0.1474,0) | Cr2 4h(0.5,0.5860,0) | ||
Al 2c(0,0.5,0.5) | Al 2b(0,0.5,0.5) | ||
B 4j(0,0.2941,0.5) | B1 4h(0,0.3840,0.5) | ||
B2 4g(0.5,0.6646,0.5) | |||
Geometry optimized lattice parameters Lattice constants (Å) | a = 2.9352 | a = 2.9321 | a = 2.9715 |
b = 11.0160 | b = 18.9116 | b = 21.3894 | |
c = 2.9533 | c = 2.9522 | c = 2.9610 | |
Atomic positions | Cr1 4g(0,0.2926,0) | Cr1 4i(0.5,0.0608,0) | |
Cr 4i(0,0.1468,0) | Cr2 4h(0.5,0.5866,0) | Cr2 4i(0,0.1459,0) | |
Al 2c(0,0.5,0.5) | Al 2b(0,0.5,0.5) | Cr3 4j(0.5,0.2069,0.5) | |
B 4j(0,0.2940,0.5) | B1 4h(0,0.3813,0.5) | Al 2d(0,0,0.5) | |
B2 4g(0.5,0.6709,0.5) | B1 4j(0,0.0837,0.5) | ||
B2 4j(0.5,0.1207,0.5) | |||
B2 4j(0,0.2313,0.5) |
c11 | c22 | c33 | c44 | c55 | c66 | c12 | c23 | c31 | |
---|---|---|---|---|---|---|---|---|---|
Cr4AlB4 | 538 | 490 | 477 | 173 | 219 | 176 | 116 | 124 | 122 |
Cr2AlB2 [ | 502 | 408 | 430 | 134 | 186 | 126 | 101 | 114 | 116 |
Ti2AlC [ | 304 | 304 | 274 | 119 | 119 | 127 | 50 | 57 | 57 |
Ti3AlC2 [ | 355 | 355 | 292 | 123 | 123 | 142 | 71 | 68 | 68 |
Ex | Ey | Ez | B | G | E | ν | G/B | ||
Cr4AlB4 | 491 | 444 | 429 | 247 | 189 | 452 | 0.196 | 0.764 | |
Cr2AlB2 [ | 445 | 354 | 371 | 222 | 154 | 376 | 0.217 | 0.696 | |
Ti2AlC [ | 287 | 287 | 255 | 135 | 120 | 278 | 0.157 | 0.889 | |
Ti3AlC2 [ | 334 | 334 | 276 | 157 | 130 | 306 | 0.176 | 0.828 |
Table 2 Elastic properties of Cr4AlB4, Cr2AlB2, Ti2AlC and Ti3AlC2.
c11 | c22 | c33 | c44 | c55 | c66 | c12 | c23 | c31 | |
---|---|---|---|---|---|---|---|---|---|
Cr4AlB4 | 538 | 490 | 477 | 173 | 219 | 176 | 116 | 124 | 122 |
Cr2AlB2 [ | 502 | 408 | 430 | 134 | 186 | 126 | 101 | 114 | 116 |
Ti2AlC [ | 304 | 304 | 274 | 119 | 119 | 127 | 50 | 57 | 57 |
Ti3AlC2 [ | 355 | 355 | 292 | 123 | 123 | 142 | 71 | 68 | 68 |
Ex | Ey | Ez | B | G | E | ν | G/B | ||
Cr4AlB4 | 491 | 444 | 429 | 247 | 189 | 452 | 0.196 | 0.764 | |
Cr2AlB2 [ | 445 | 354 | 371 | 222 | 154 | 376 | 0.217 | 0.696 | |
Ti2AlC [ | 287 | 287 | 255 | 135 | 120 | 278 | 0.157 | 0.889 | |
Ti3AlC2 [ | 334 | 334 | 276 | 157 | 130 | 306 | 0.176 | 0.828 |
Fig. 2. (a) Surface of directional dependent Young’s modulus. Directional dependent (b) Young’s modulus and (c) shear modulus in (100), (010) and (001) plane of Cr4AlB4.
Fig. 3. Stress-strain curves under tensile deformations normal to (100), (010) and (001) plane and under (001)[100], (010)[100] and (010)[001] shear deformations.
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