J. Mater. Sci. Technol. ›› 2019, Vol. 35 ›› Issue (4): 584-590.DOI: 10.1016/j.jmst.2018.10.012
• Orginal Article • Previous Articles Next Articles
Wei Sunab, Fuzhi Daia, Huimin Xianga, Jiachen Liub, Yanchun Zhoua*()
Received:
2018-08-06
Revised:
2018-10-02
Accepted:
2018-10-03
Online:
2019-04-05
Published:
2019-01-28
Contact:
Zhou Yanchun
Wei Sun, Fuzhi Dai, Huimin Xiang, Jiachen Liu, Yanchun Zhou. General trends in surface stability and oxygen adsorption behavior of transition metal diborides (TMB2)[J]. J. Mater. Sci. Technol., 2019, 35(4): 584-590.
Surface | ScB2 | YB2 | TiB2 | ZrB2 | HfB2 | VB2 | NbB2 | TaB2 | |
---|---|---|---|---|---|---|---|---|---|
(0001)-TM | N1 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
N2 | 5 | 5 | 6 | 4 | 6 | 5 | 6 | 6 | |
Δout, % | -2.76 | -3.43 | -4.70 | -4.68 | -2.64 | -11.98 | -10.46 | -9.08 | |
Δin, % | 0.03 | 0.09 | 0.02 | 0.00 | -0.04 | 0.13 | -0.14 | 0.04 | |
(0001)-B | N1 | 6 | 6 | 8 | 6 | 6 | 6 | 6 | 6 |
N2 | 5 | 5 | 6 | 5 | 6 | 6 | 4 | 6 | |
Δout, % | -10.60 | -9.72 | -6.49 | -7.06 | -5.22 | 2.02 | -0.12 | 1.54 | |
Δin, % | 0.13 | -0.15 | 0.04 | 0.01 | 0.12 | -0.08 | -0.12 | -0.15 | |
(110) | N1 | 6 | 7 | 6 | 6 | 5 | 6 | 6 | 6 |
N2 | 5 | 6 | 5 | 5 | 4 | 5 | 4 | 4 | |
Δout, % | -4.82 | -7.70 | -2.53 | -4.15 | -3.14 | -2.51 | -3.88 | -3.37 | |
Δin, % | -0.08 | 0.11 | 0.14 | -0.02 | -0.08 | 0.10 | 0.10 | -0.01 | |
(100)-TM | N1 | 9 | 15 | 9 | 9 | 9 | 12 | 15 | 15 |
N2 | 9 | 12 | 9 | 6 | 6 | 9 | 13 | 13 | |
Δout, % | -3.34 | 12.54 | -15.81 | -4.52 | -6.77 | -32.95 | -23.31 | -25.69 | |
Δin, % | -0.17 | -0.01 | 0.09 | -0.05 | 0.08 | -0.03 | 0.08 | -0.16 | |
(100)-B(TM) | N1 | 12 | 15 | 12 | 9 | 9 | 9 | 12 | 12 |
N2 | 9 | 12 | 9 | 8 | 6 | 9 | 10 | 10 | |
Δout, % | -41.43 | -75.58 | -17.33 | -29.07 | -25.18 | -8.02 | -20.33 | -18.83 | |
Δin, % | -0.02 | 0.00 | -0.03 | 0.08 | 0.10 | -0.16 | 0.07 | 0.09 | |
(100)-B(B) | N1 | 12 | 15 | 12 | 9 | 9 | 12 | 12 | 12 |
N2 | 10 | 10 | 9 | 6 | 6 | 11 | 12 | 11 | |
Δout, % | -45.18 | -50.90 | -36.49 | -41.75 | -41.58 | -35.60 | -41.28 | -44.56 | |
Δin, % | 0.03 | -0.06 | 0.16 | -0.12 | -0.13 | 0.01 | -0.20 | 0.08 |
Table 1 Layer configurations and structural relaxations of transition metal diboride surface models. N1 and N2 represent the atomic layer numbers in region 1 and region 2. The relaxations of the outermost and innermost interlayer distances are denoted by Δout and Δin.
Surface | ScB2 | YB2 | TiB2 | ZrB2 | HfB2 | VB2 | NbB2 | TaB2 | |
---|---|---|---|---|---|---|---|---|---|
(0001)-TM | N1 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
N2 | 5 | 5 | 6 | 4 | 6 | 5 | 6 | 6 | |
Δout, % | -2.76 | -3.43 | -4.70 | -4.68 | -2.64 | -11.98 | -10.46 | -9.08 | |
Δin, % | 0.03 | 0.09 | 0.02 | 0.00 | -0.04 | 0.13 | -0.14 | 0.04 | |
(0001)-B | N1 | 6 | 6 | 8 | 6 | 6 | 6 | 6 | 6 |
N2 | 5 | 5 | 6 | 5 | 6 | 6 | 4 | 6 | |
Δout, % | -10.60 | -9.72 | -6.49 | -7.06 | -5.22 | 2.02 | -0.12 | 1.54 | |
Δin, % | 0.13 | -0.15 | 0.04 | 0.01 | 0.12 | -0.08 | -0.12 | -0.15 | |
(110) | N1 | 6 | 7 | 6 | 6 | 5 | 6 | 6 | 6 |
N2 | 5 | 6 | 5 | 5 | 4 | 5 | 4 | 4 | |
Δout, % | -4.82 | -7.70 | -2.53 | -4.15 | -3.14 | -2.51 | -3.88 | -3.37 | |
Δin, % | -0.08 | 0.11 | 0.14 | -0.02 | -0.08 | 0.10 | 0.10 | -0.01 | |
(100)-TM | N1 | 9 | 15 | 9 | 9 | 9 | 12 | 15 | 15 |
N2 | 9 | 12 | 9 | 6 | 6 | 9 | 13 | 13 | |
Δout, % | -3.34 | 12.54 | -15.81 | -4.52 | -6.77 | -32.95 | -23.31 | -25.69 | |
Δin, % | -0.17 | -0.01 | 0.09 | -0.05 | 0.08 | -0.03 | 0.08 | -0.16 | |
(100)-B(TM) | N1 | 12 | 15 | 12 | 9 | 9 | 9 | 12 | 12 |
N2 | 9 | 12 | 9 | 8 | 6 | 9 | 10 | 10 | |
Δout, % | -41.43 | -75.58 | -17.33 | -29.07 | -25.18 | -8.02 | -20.33 | -18.83 | |
Δin, % | -0.02 | 0.00 | -0.03 | 0.08 | 0.10 | -0.16 | 0.07 | 0.09 | |
(100)-B(B) | N1 | 12 | 15 | 12 | 9 | 9 | 12 | 12 | 12 |
N2 | 10 | 10 | 9 | 6 | 6 | 11 | 12 | 11 | |
Δout, % | -45.18 | -50.90 | -36.49 | -41.75 | -41.58 | -35.60 | -41.28 | -44.56 | |
Δin, % | 0.03 | -0.06 | 0.16 | -0.12 | -0.13 | 0.01 | -0.20 | 0.08 |
Surface | Surface energy (J?m-2) | |||||||
---|---|---|---|---|---|---|---|---|
ScB2 | YB2 | TiB2 | ZrB2 | HfB2 | VB2 | NbB2 | TaB2 | |
(0001)-TM | 3.336 | 2.844 | 4.233 | 3.914 | 3.931 | 3.147 | 2.877 | 2.565 |
(0001)-B | 3.144 | 2.675 | 4.207 | 3.828 | 3.878 | 3.539 | 3.129 | 2.778 |
(110) | 2.983 | 1.998 | 4.112 | 3.475 | 3.640 | 3.710 | 2.684 | 2.415 |
(100)-TM | 3.787 | 3.034 | 4.861 | 4.330 | 4.514 | 3.954 | 3.684 | 3.490 |
(100)-B(TM) | 4.151 | 2.825 | 4.763 | 4.103 | 3.976 | 4.292 | 3.642 | 3.339 |
(100)-B(B) | 2.670 | 1.760 | 4.192 | 3.353 | 3.553 | 3.857 | 3.141 | 2.892 |
Table 2 Calculated surface energies of transition metal diborides.
Surface | Surface energy (J?m-2) | |||||||
---|---|---|---|---|---|---|---|---|
ScB2 | YB2 | TiB2 | ZrB2 | HfB2 | VB2 | NbB2 | TaB2 | |
(0001)-TM | 3.336 | 2.844 | 4.233 | 3.914 | 3.931 | 3.147 | 2.877 | 2.565 |
(0001)-B | 3.144 | 2.675 | 4.207 | 3.828 | 3.878 | 3.539 | 3.129 | 2.778 |
(110) | 2.983 | 1.998 | 4.112 | 3.475 | 3.640 | 3.710 | 2.684 | 2.415 |
(100)-TM | 3.787 | 3.034 | 4.861 | 4.330 | 4.514 | 3.954 | 3.684 | 3.490 |
(100)-B(TM) | 4.151 | 2.825 | 4.763 | 4.103 | 3.976 | 4.292 | 3.642 | 3.339 |
(100)-B(B) | 2.670 | 1.760 | 4.192 | 3.353 | 3.553 | 3.857 | 3.141 | 2.892 |
Oxygen adsorption energy (eV) | ||||||||
---|---|---|---|---|---|---|---|---|
ScB2 | YB2 | TiB2 | ZrB2 | HfB2 | VB2 | NbB2 | TaB2 | |
(0001)-TM | -6.115 | -4.861 | -6.213 | -6.138 | -5.444 | -5.234 | -5.337 | -4.566 |
(0001)-B | -4.262 | -5.304 | -3.457 | -3.752 | -3.066 | -2.938 | -3.069 | -3.066 |
(110) | -5.518 | -5.254 | -5.327 | -5.518 | -5.171 | -4.454 | -4.596 | -4.319 |
(100)-TM | -5.641 | -5.327 | -5.095 | -5.497 | -4.670 | -4.462 | -4.580 | -4.139 |
(100)-B(TM) | -5.823 | -5.329 | -5.053 | -4.984 | -4.569 | -4.520 | -4.377 | -3.990 |
(100)-B(B) | -4.625 | -4.277 | -4.664 | -4.450 | -4.215 | -4.910 | -3.955 | -3.758 |
Table 3 Favorable oxygen adsorption energies on the surfaces of transition metal diborides.
Oxygen adsorption energy (eV) | ||||||||
---|---|---|---|---|---|---|---|---|
ScB2 | YB2 | TiB2 | ZrB2 | HfB2 | VB2 | NbB2 | TaB2 | |
(0001)-TM | -6.115 | -4.861 | -6.213 | -6.138 | -5.444 | -5.234 | -5.337 | -4.566 |
(0001)-B | -4.262 | -5.304 | -3.457 | -3.752 | -3.066 | -2.938 | -3.069 | -3.066 |
(110) | -5.518 | -5.254 | -5.327 | -5.518 | -5.171 | -4.454 | -4.596 | -4.319 |
(100)-TM | -5.641 | -5.327 | -5.095 | -5.497 | -4.670 | -4.462 | -4.580 | -4.139 |
(100)-B(TM) | -5.823 | -5.329 | -5.053 | -4.984 | -4.569 | -4.520 | -4.377 | -3.990 |
(100)-B(B) | -4.625 | -4.277 | -4.664 | -4.450 | -4.215 | -4.910 | -3.955 | -3.758 |
Fig. 4. Differential charge density of adsorbed (a) (0001)-Hf surface on (110) plane, (b) (100)-Hf surface on (0001) plane, (c) (110) surface on (0001) plane, (d) (100)-B(Hf) surface on (0001) plane, (e) (100)-B(B) surface on (110) plane and (f) (0001)-B surface on (110) plane in HfB2. The positive charges are shown as blue, and negative ones are shown as red.
Fig. 5. Differential charge density of adsorbed (a) (100)-B(B) surface on (110) plane in VB2 and (b) (0001)-B surface on (110) plane in YB2. The positive charges are shown as blue, and negative ones are shown as red.
Fig. 6. Ratio of surface energies between (a) (100)-B(B) and (110) surfaces, and (b) stable prismatic and basal surfaces of each transition metal diborides.
Fig. 7. Favorable oxygen adsorption energies on (a) stable (0001), (110) and stable (100) surfaces, and (b) on the most stable surface of each transition metal diborides.
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