Author Affiliations
1School of Materials and Chemical Engineering, Zhongyuan University of Tecnology, Zhengzhou 451191, China2School of Computer Science and Technology, Henan Polytechnic University, Jiaozuo 454000, Chinashow less
Fig. 1. Relationship between total energy and cell volume of c-BN and h-BN at 0 GPa and 0 K0 GPa和0 K下c-BN和h-BN的总能量与晶胞体积关系
Fig. 2. Effect of pressure on the elastic constants of c-BN and h-BN at 0 K0 K时, 压力对c-BN和h-BN的弹性常数的影响
Fig. 3. Phonon spectrum and density of phonon states of c-BN and h-BN at 0 K and 0 GPa0K和0GPa时c-BN和h-BN的声子谱和声子色散
Fig. 4. The normalized primitive cell volume V/V0 versus temperature (a) and pressure for the c-BN
温度(a)和压力(b)对c-BN标准元胞体积V/V0的影响
Fig. 5. The heat capacity CV versus temperature and pressure for the c-BN
c-BN比热容CV与压力(a)和温度(b)之间的关系
Fig. 6. The thermodynamic expansivity α versus pressure (a) and temperature (b) for the c-BNc-BN的热力学膨胀系数α与压力(a)和温度(b)的关系
Fig. 7. The Debye temperature ΘD versus pressure (a) and temperature (b) for the c-BN
c-BN的徳拜温度ΘD与压力(a)和温度(b)的关系
Fig. 8. The Grüneisen parameter γ versus pressure (a) temperature and (b) for the c-BNc-BN的格林艾森系数γ与压力(a)和温度(b)的关系
Fig. 9. Band structures for c-BN (a) and h-BN (b) at 0 GPa and 0 K0 GPa和0 K下c-BN (a)和h-BN (b)的能带结构
Fig. 10. Density of states for c-BN and h-BN at 0 GPa and 0 K0 GPa和0 K下c-BN和h-BN的态密度
Fig. 11. Complex dielectric functions of c-BN and h-BN at 0 K and 0 GPa0 K和0 GPa时c-BN和h-BN的复介电函数
Fig. 12. Absorption coefficients of c-BN and h-BN at 0 K and 0 GPa0 K和0 GPa时c-BN和h-BN的吸收系数
Fig. 13. Reflectivity of c-BN and h-BN at 0 K and 0 GPa0 K和0 GPa时c-BN和h-BN的反射率
Fig. 14. Refractive index and extinction coefficient of c-BN and h-BN at 0 K and 0 GPa0 K和0 GPa时c-BN和h-BN的折射率和消光系数
Fig. 15. Loss function of c-BN and h-BN at 0 K and 0 GPa0 K和0 GPa时c-BN和h-BN的损失函数
Fig. 16. Conductivity of c-BN and h-BN at 0 K and 0 GPa0 K和0 GPa时c-BN和h-BN的光电导率
结构 | 晶格常数/Å | a | c | c-BN | 实验值 | 3.615 | | | 本文计算值 | 3.576 | | | 其他计算值 | 3.583[6], 3.627[32], 3.589[33], 3.581[34], 3.576[35], 3.583[36] | | h-BN | 实验值 | 2.504[37] | 6.661[37] | | 本文计算值 | 2.485 | 6.610 | | 其他计算值 | 2.485[32], 2.489[33], 2.489[36]2.496[38], 2.489[39] | 6.491[32], 6.561[33], 6.501[36], 6.490[38], 6.501[39] |
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Table 1. Calculated and experimental value of lattice constants for c-BN and h-BN cells[6,32−39]
c-BN和h-BN 晶胞晶格常数的计算值和实验值[6,32−39]
| 方法 | C11/GPa
| C12/GPa
| C13/GPa
| C33/GPa
| C44/GPa
| ΘD/K
| Vm/m·s–1 | B | G | E | B/G | υ | c-BN | 实验值 | 820[40] | 190[40] | | | 480[40] | | | 389—407[40] | | | | | | 本文计值 | 824.43 | 186.37 | | | 479.76 | 1929.94 | 11590.90 | 399.06 | 407.38 | 911.85 | 0.98 | 0.12 | 其他计算 | 823[35] | 185[35] | | | 479[35] | 1765[35] | 10783[35] | | 407[35] | 910[35] | 0.975[35] | 0.12[35] | | | 824[36] | 193[36] | | | 476[36] | | | 403[36] | 404[36] | | 0.998[36] | 0.12[36] | | | 820[41] | 194[41] | | | 477[41] | | | 375.923[41] | 409[41] | 854.81[41] | 0.97[41] | 0.12[41] | | | 815[42] | 194[42] | | | 494[42] | 1790[42] | | 381[42] | 398[42] | | 0.957[42] | | | | 820[43] | 194[43] | | | 477[43] | | | | | | | | h-BN | 实验值 | 811[40] | 169[40] | 0[40] | 32[40] | 7[40] | | | 26—335 | | | | | | 811[44] | 169[44] | 0[44] | 27[44] | 8[44] | | | | | | | | 本文计值 | 925.98 | 212.04 | 2.26 | 29.83 | 5.95 | 424.94 | 2928.86 | 142.88 | 98.85 | 240.98 | 1.45 | 0.22 | | 其他计算 | 927[36] | 223[36] | 1[36] | 32[36] | 7[36] | | | 145[36] | 100[36] | | 1.45[36] | 0.22[36] | | | 930[42] | 218[42] | 1[42] | 29[42] | 7[42] | | | 158[42] | 104[42] | | 1.519[42] | | | | | | | | | | | 141[45] | 98[45] | 239[45] | 1.44[45] | 0.22[45] | | | 923.48[46] | 212.23[46] | 2.56[46] | 28.08[46] | 4.06[46] | | | | | | | |
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Table 2. Elastic constants, Debye temperature and average sound velocity of c-BN and h-BN at 0 K and 0 GPa[35,36,40−46]
0 K和0 GPa时, c-BN和h-BN的弹性常数Cij、德拜温度ΘD和平均声速Vm[35,36,40−46]
| P/GPa
| C11/GPa
| C12/GPa
| C13/GPa
| C33/GPa
| C44/GPa
| B/GPa
| G/GPa
| υ | c-BN | 0 | 824.43 | 186.374 | | | 479.76 | 399.06 | 407.38 | 0.119 | 5 | 830.11 | 185.83 | | | 493.23 | 400.59 | 415.80 | 0.124 | 10 | 889.09 | 226.27 | | | 527.81 | 447.21 | 437.96 | 0.130 | 15 | 911.61 | 241.91 | | | 540.63 | 465.15 | 446.14 | 0.137 | 20 | 932.97 | 257.00 | | | 552.40 | 482.33 | 453.61 | 0.142 | 25 | 954.49 | 272.25 | | | 563.79 | 499.66 | 460.89 | 0.147 | 30 | 975.51 | 287.24 | | | 574.81 | 516.66 | 467.91 | 0.152 | 35 | 996.42 | 302.42 | | | 585.82 | 533.75 | 474.82 | 0.157 | 40 | 1017.22 | 596.23 | | | 317.36 | 550.65 | 481.48 | 0.161 | 45 | 1037.37 | 332.13 | | | 606.51 | 567.21 | 487.92 | 0.166 | 50 | 1057.25 | 346.87 | | | 616.50 | 583.66 | 494.15 | 0.170 | h-BN | 0 | 925.98 | 212.04 | 2.26 | 29.8 | 5.95 | 142.88 | 98.85 | 0.219 | 5 | 1031.35 | 249.81 | 5.35 | 63.99 | 8.14 | 176.61 | 112.09 | 0.228 | 10 | 1148.41 | 283.48 | 26.06 | 132.72 | 26.16 | 231.48 | 145.44 | 0.240 | 15 | 1200.62 | 306.01 | 39.36 | 160.84 | 34.24 | 256.67 | 158.80 | 0.244 | 20 | 1246.22 | 327.55 | 53.25 | 187.08 | 42.77 | 280.31 | 171.49 | 0.246 | 25 | 1287.16 | 348.45 | 67.73 | 211.76 | 51.53 | 302.83 | 183.49 | 0.248 | 30 | 1320.57 | 372.62 | 82.18 | 236.37 | 60.42 | 324.77 | 194.15 | 0.251 | 35 | 1353.78 | 393.22 | 96.91 | 259.96 | 69.28 | 345.92 | 204.72 | 0.253 | 40 | 1385.71 | 412.37 | 111.71 | 283.31 | 78.45 | 366.65 | 215.30 | 0.254 | 45 | 1414.63 | 431.89 | 126.68 | 306.37 | 87.53 | 386.99 | 225.13 | 0.256 | 50 | 1445.81 | 447.45 | 141.74 | 328.44 | 96.53 | 406.75 | 235.27 | 0.258 |
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Table 3. Effect of pressure on the elastic constants of c-BN and h-BN at 0 K
0 K时, 压力P对c-BN和h-BN的弹性常数Cij, B, G的影响
| c-BN | h-BN | Eg/eV
| 实验 | 本文计算 | 其他计算 | 实验 | 本文计算 | 其他计算 | 5.38[56] | 4.391 | 4.11[57] | 5.955[58] | 4.071 | 3.378—4.194[59] | | | | 4.81 [33] | | | 4.01 [33] | | | | 4.24 [60] | | | 4.07 [62] | | | | 4.67 [61] | | | 4.95[63] |
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Table 4. Bandgap of c-BN and h-BN[33,50—57]
c-BN和h-BN的带隙宽度[33,50—57]