• Acta Physica Sinica
  • Vol. 68, Issue 7, 077102-1 (2019)
Chang-Wei Lü1、2, Chen-Ju Wang1, and Jian-Bing Gu1、*
Author Affiliations
  • 1School of Materials and Chemical Engineering, Zhongyuan University of Tecnology, Zhengzhou 451191, China
  • 2School of Computer Science and Technology, Henan Polytechnic University, Jiaozuo 454000, China
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    DOI: 10.7498/aps.68.20182030 Cite this Article
    Chang-Wei Lü, Chen-Ju Wang, Jian-Bing Gu. First-principles study of structural, elastic, thermodynamic, electronic and optical properties of cubic boron nitride and hexagonal boron nitride at high temperature and high pressure[J]. Acta Physica Sinica, 2019, 68(7): 077102-1 Copy Citation Text show less
    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. 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
    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. 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
    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. 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
    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. 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
    The heat capacity CV versus temperature and pressure for the c-BNc-BN比热容CV与压力(a)和温度(b)之间的关系
    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
    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. 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
    The Debye temperature ΘD versus pressure (a) and temperature (b) for the c-BNc-BN的徳拜温度ΘD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
    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. 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
    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. 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
    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. 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
    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. 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
    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. 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
    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. 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
    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. 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
    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. 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
    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
    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/Åac
    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2.4856.610
    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]
    Table 1.

    Calculated and experimental value of lattice constants for c-BN and h-BN cells[6,3239]

    c-BN和h-BN 晶胞晶格常数的计算值和实验值[6,3239]

    方法C11/GPa C12/GPa C13/GPa C33/GPa C44/GPa ΘD/K Vm/m·s–1BGEB/Gυ
    c-BN实验值820[40]190[40]480[40]389—407[40]
    本文计值824.43186.37479.761929.9411590.90399.06407.38911.850.980.12
    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925.98212.042.2629.835.95424.942928.86142.8898.85240.981.450.22
    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]
    Table 2.

    Elastic constants, Debye temperature and average sound velocity of c-BN and h-BN at 0 K and 0 GPa[35,36,4046]

    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[35,36,4046]

    P/GPa C11/GPa C12/GPa C13/GPa C33/GPa C44/GPa B/GPa G/GPa υ
    c-BN0824.43186.374479.76399.06407.380.119
    5830.11185.83493.23400.59415.800.124
    10889.09226.27527.81447.21437.960.130
    15911.61241.91540.63465.15446.140.137
    20932.97257.00552.40482.33453.610.142
    25954.49272.25563.79499.66460.890.147
    30975.51287.24574.81516.66467.910.152
    35996.42302.42585.82533.75474.820.157
    401017.22596.23317.36550.65481.480.161
    451037.37332.13606.51567.21487.920.166
    501057.25346.87616.50583.66494.150.170
    h-BN0925.98212.042.2629.85.95142.8898.850.219
    51031.35249.815.3563.998.14176.61112.090.228
    101148.41283.4826.06132.7226.16231.48145.440.240
    151200.62306.0139.36160.8434.24256.67158.800.244
    201246.22327.5553.25187.0842.77280.31171.490.246
    251287.16348.4567.73211.7651.53302.83183.490.248
    301320.57372.6282.18236.3760.42324.77194.150.251
    351353.78393.2296.91259.9669.28345.92204.720.253
    401385.71412.37111.71283.3178.45366.65215.300.254
    451414.63431.89126.68306.3787.53386.99225.130.256
    501445.81447.45141.74328.4496.53406.75235.270.258
    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-BNh-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]4.3914.11[57]5.955[58]4.0713.378—4.194[59]
    4.81 [33]4.01 [33]
    4.24 [60]4.07 [62]
    4.67 [61]4.95[63]
    Table 4.

    Bandgap of c-BN and h-BN[33,5057]

    c-BN和h-BN的带隙宽度[33,5057]

    Chang-Wei Lü, Chen-Ju Wang, Jian-Bing Gu. First-principles study of structural, elastic, thermodynamic, electronic and optical properties of cubic boron nitride and hexagonal boron nitride at high temperature and high pressure[J]. Acta Physica Sinica, 2019, 68(7): 077102-1
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