• Journal of Inorganic Materials
  • Vol. 37, Issue 7, 787 (2022)
Zhiqin WEN, Binrong HUANG, Taoyi LU, and Zhengguang ZOU
Author Affiliations
  • School of Materials Science and Engineering, Guilin University of Technology, Guilin 541004, China
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    DOI: 10.15541/jim20210612 Cite this Article
    Zhiqin WEN, Binrong HUANG, Taoyi LU, Zhengguang ZOU. Pressure on the Structure and Thermal Properties of PbTiO3: First-principle Study [J]. Journal of Inorganic Materials, 2022, 37(7): 787 Copy Citation Text show less
    Crystal structures of (a) CP-PTO, (b) TP-PTO and (c, d) PP-PTO
    1. Crystal structures of (a) CP-PTO, (b) TP-PTO and (c, d) PP-PTO
    Variation of TP-PTO, CP-PTO and PP-PTO volume ratios (V/V0) under different pressures
    2. Variation of TP-PTO, CP-PTO and PP-PTO volume ratios (V/V0) under different pressures
    Change of total density of states (TDOS) of TP-PTO (a), CP-PTO (b) and PP-PTO (c) under different pressures
    3. Change of total density of states (TDOS) of TP-PTO (a), CP-PTO (b) and PP-PTO (c) under different pressures
    Variation of elastic constants (Cij) of TP-PTO, CP-PTO and PP-PTO with pressure
    4. Variation of elastic constants (Cij) of TP-PTO, CP-PTO and PP-PTO with pressure
    Variation of Debye temperature of TP-PTO, CP-PTO and PP-PTO with pressure and temperature
    5. Variation of Debye temperature of TP-PTO, CP-PTO and PP-PTO with pressure and temperature
    Entropy (S) of TP-PTO, CP-PTO and PP-PTO as a function of pressure and temperature
    6. Entropy (S) of TP-PTO, CP-PTO and PP-PTO as a function of pressure and temperature
    Pressure- and temperature-dependent heat capacity at constant volume (Cv) of TP-PTO, CP-PTO and PP-PTO
    7. Pressure- and temperature-dependent heat capacity at constant volume (Cv) of TP-PTO, CP-PTO and PP-PTO
    Pressure- and temperature-dependent heat capacity at constant pressure (Cp) of TP-PTO, CP-PTO and PP-PTO
    8. Pressure- and temperature-dependent heat capacity at constant pressure (Cp) of TP-PTO, CP-PTO and PP-PTO
    PhaseSpeciesPresentCal.Exp.
    TP-PTOa=b/nm 0.3890.389[18]0.39[20]
    c/nm 0.4170.416[18]0.416[20]
    Hf /eV -13.45-13.34[21]
    CP-PTOa=b=c/nm 0.3970.397[19]0.395[20]
    Hf /eV -13.38-13.25[22]
    PP-PTOa=b/nm 1.2441.216[10]1.237[8]
    c/nm 0.3770.376[10]0.381[8]
    Hf /eV -5.85
    Table 1. Calculated lattice constant and enthalpy of formation of PTO at 0 GPa along with feasible experimental (Exp.) and theoretical calculation (Cal.) values
    TP-PTOCP-PTOPP-PTO
    0 GPa10 GPa20 GPa30 GPa0 GPa10 GPa20 GPa30 GPa0 GPa10 GPa20 GPa30 GPa
    Present /eV1.76 a1.5871.4831.401.675 b1.6111.5381.4592.346 c2.0021.5491.142
    Table 2. Calculated band gap of PTO under 0-30 GPa pressure
    C11C33C44C66C12C13C16
    TP-PTOPresent252.959.172.6100.7106.171.1-
    Exp.[34]23760691449070-
    Cal.[18]253.979.873.3100.9103.879-
    CP-PTOPresent279.2-98.2-118.5--
    Exp.[35]229-100-101--
    Cal.[18]279.9-98.6-117.9--
    PP-PTOPresent86.95209.550.8242.2825.5149.792.55
    Cal.[9]98.8287.861.456.843.279.84.9
    Table 3. Elastic constant (Cij, GPa) of PTO under 0 GPa pressure as well as available experimental (Exp.) and theoretical calculation (Cal.) data
    p/GPa B/GPa G/GPa E/GPa νAu
    TP-PTO087.7656.91140.380.234.1150
    10211.16101.92263.390.290.1345
    20274.35125.99327.810.300.0413
    30315.08139.28364.190.310.1059
    CP-PTO0172.0290.86231.760.280.0505
    10217.28106.87275.450.290.0003
    20257.15120.49312.650.300.0161
    30299.13133.24348.060.310.0604
    PP-PTO063.1944.09107.320.220.7114
    10121.8860.96156.750.290.5906
    20173.9670.31185.890.320.4811
    30219.1277.26207.400.340.5568
    Table 4. Bulk modulus (B), shear modulus (G), Young's modulus (E), Poisson's ratio (ν), and anisotropy (Au) of PTO under various pressures
    Zhiqin WEN, Binrong HUANG, Taoyi LU, Zhengguang ZOU. Pressure on the Structure and Thermal Properties of PbTiO3: First-principle Study [J]. Journal of Inorganic Materials, 2022, 37(7): 787
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