• Journal of Inorganic Materials
  • Vol. 38, Issue 11, 1364 (2023)
Maoxin SU1,2, Xinchen LI1, Kainan XIONG2, Sheng WANG2..., Yunlin CHEN1,*, Xiaoniu TU2,* and Erwei SHI2|Show fewer author(s)
Author Affiliations
  • 11. Institute of Applied Micro-Nano Materials, School of Science, Beijing Jiaotong University, Beijing 100049, China
  • 22. Shanghai Institute of Ceramics, Chinese Academy of Sciences, Shanghai 200050, China
  • show less
    DOI: 10.15541/jim20230101 Cite this Article
    Maoxin SU, Xinchen LI, Kainan XIONG, Sheng WANG, Yunlin CHEN, Xiaoniu TU, Erwei SHI. Characterization of High Temperature Resistivity and Full Matrix Material Coefficient of LGT Crystals[J]. Journal of Inorganic Materials, 2023, 38(11): 1364 Copy Citation Text show less
    Pictures of LGT and LGAT crystals
    1. Pictures of LGT and LGAT crystals
    High temperature resistivities of LGT and LGAT crystals in different atmospheres
    2. High temperature resistivities of LGT and LGAT crystals in different atmospheres
    Ultrasonic resonance spectra of LGT crystal at 20 and 400 ℃
    3. Ultrasonic resonance spectra of LGT crystal at 20 and 400 ℃
    Measured and calculated resonant frequencies at 20 and 400 ℃
    4. Measured and calculated resonant frequencies at 20 and 400 ℃
    AtmosphereT /℃ Ea(LGT)/eV Ea(LGAT)/eV
    Oxygen400-5001.140.99
    525-6501.05
    Nitrogen400-5501.00.95
    550-7001.361.26
    Argon400-7000.840.91
    Table 1. Activation energy of LGT and LGAT crystal in different atmospheres
    T/℃ $\varepsilon _{11}^{\text{S}}/{{\varepsilon }_{0}}$$\varepsilon _{33}^{\text{S}}/{{\varepsilon }_{0}}$
    2018.675.9
    40019.859.7
    Table 2. Clamping dielectric constant of LGT crystal
    T/℃Elastic coefficient/(×1010, N·m-2) Piezoelectric coefficient/(C·m-2)
    $c_{11}^{\text{E}}$$c_{12}^{\text{E}}$$\text{ }\!\!~\!\!\text{ }c_{13}^{\text{E}}$$c_{14}^{\text{E}}$$c_{33}^{\text{E}}$$c_{44}^{\text{E}}$${{e}_{11}}$${{e}_{14}}$
    2018.58610.5249.7851.35326.0035.093-0.4390.123
    40018.34610.3149.6941.25625.3405.056-0.4290.209
    Table 3. Inversion results of LGT crystal elasticity and piezoelectric coefficient
    $c_{ij}^{\text{E}}$/(×1010, N·m–2) $c_{ij}^{\text{D}}$/(×1010, N·m–2)
    $c_{11}^{\text{E}}$$c_{12}^{\text{E}}$$c_{13}^{\text{E}}$$c_{14}^{\text{E}}$$c_{33}^{\text{E}}$$c_{44}^{\text{E}}$$c_{11}^{\text{D}}$$c_{12}^{\text{D}}$$c_{\text{13}}^{\text{D}}$$c_{\text{14}}^{\text{D}}$$c_{\text{33}}^{\text{D}}$$c_{\text{44}}^{\text{D}}$
    18.58610.5249.7851.35326.0035.09318.70310.4069.7851.32026.0035.102
    $s_{ij}^{\text{E}}$/(×10–12, m2·N–1)$s_{ij}^{\text{D}}$/(×10–12, m2·N–1)
    $s_{\text{11}}^{\text{E}}$$s_{\text{12}}^{\text{E}}$$s_{\text{13}}^{\text{E}}$$s_{\text{14}}^{\text{E}}$$s_{\text{33}}^{\text{E}}$$s_{\text{44}}^{\text{E}}$$s_{\text{11}}^{\text{D}}$$s_{\text{12}}^{\text{D}}$$s_{\text{13}}^{\text{D}}$$s_{\text{14}}^{\text{D}}$$s_{\text{33}}^{\text{D}}$$s_{\text{44}}^{\text{D}}$
    9.108-4.509-1.731-3.6175.14821.568.866-4.268-1.731-3.3975.14821.36
    ${{e}_{ij}}$/(C·m–2)${{d}_{ij}}$/(×10–12, C·N–1)
    ${{e}_{11}}$${{e}_{14}}$${{d}_{11}}$${{d}_{14}}$
    -0.4390.123-6.435.83
    ${{g}_{ij}}$/(×10–2, ${{\text{V}}_{m}}$·N–1)${{h}_{ij}}$/(×108, V·m–1)
    ${{g}_{11}}$${{g}_{14}}$${{h}_{11}}$${{h}_{14}}$
    -3.9033.543-26.677.482
    $\varepsilon _{ij}^{\text{T}}$ (ε0)$\varepsilon _{ij}^{\text{S}}$ (ε0)$\beta _{ij}^{\text{T}}$ (×10–4 /ε0)$\beta _{ij}^{\text{S}}$(×10–4/ε0)
    $\varepsilon _{\text{11}}^{\text{T}}$$\varepsilon _{\text{33}}^{\text{T}}$$\varepsilon _{\text{11}}^{\text{S}}$$\varepsilon _{\text{33}}^{\text{S}}$$\beta \ _{\text{11}}^{\text{T}}$$\beta _{\text{33}}^{\text{T}}$$\beta \ _{\text{11}}^{\text{S}}$$\beta _{\text{33}}^{\text{S}}$
    19.375.918.675.9518132538132
    Table 4. Full matrix material coefficient of LGT crystal at 20 ℃
    $c_{ij}^{\text{E}}$/(×1010, N·m–2) $c_{ij}^{\text{D}}$/(×1010, N·m–2)
    $c_{\text{11}}^{\text{E}}$$c_{\text{12}}^{\text{E}}$$c_{\text{13}}^{\text{E}}$$c_{\text{14}}^{\text{E}}$$c_{\text{33}}^{\text{E}}$$c_{\text{44}}^{\text{E}}$$c_{\text{11}}^{\text{D}}$$c_{\text{12}}^{\text{D}}$$c_{\text{13}}^{\text{D}}$$c_{\text{14}}^{\text{D}}$$c_{\text{33}}^{\text{D}}$$c_{\text{44}}^{\text{D}}$
    18.34610.3149.6941.25625.3405.05618.45110.2099.6941.20525.3405.081
    $s_{ij}^{\text{E}}$/(×10-12, m2·N–1)$s_{ij}^{\text{D}}$/(×10-12, m2·N–1)
    $s_{\text{11}}^{\text{E}}$$s_{\text{12}}^{\text{E}}$$s_{\text{13}}^{\text{E}}$$s_{\text{14}}^{\text{E}}$$s_{\text{33}}^{\text{E}}$$s_{\text{44}}^{\text{E}}$$s_{\text{11}}^{\text{D}}$$s_{\text{12}}^{\text{D}}$$s_{\text{13}}^{\text{D}}$$s_{\text{14}}^{\text{D}}$$s_{\text{33}}^{\text{D}}$$s_{\text{44}}^{\text{D}}$
    9.103-4.396-1.801-3.3535.32421.448.873-4.165-1.801-3.0925.32421.15
    ${{e}_{ij}}$/(C·m–2)${{d}_{ij}}$/(×10–12, C·N–1)
    e11e14d11d14
    -0.4290.209-6.487.34
    ${{g}_{ij}}$/(×10–2, ${{\text{V}}_{m}}$·N–1)${{h}_{ij}}$/(×108, V·m–1)
    g11g14h11h14
    -3.6994.190-24.4511.89
    $\varepsilon _{ij}^{\text{T}}$ (ε0)$\varepsilon _{ij}^{\text{S}}$ (ε0)$\beta _{ij}^{\text{T}}$ (×10–4/ε0)$\beta _{ij}^{\text{S}}$ (×10–4/ε0)
    $\varepsilon _{11}^{\text{T}}$$\varepsilon _{33}^{\text{T}}$$\varepsilon _{11}^{\text{S}}$$\varepsilon _{33}^{\text{S}}$$\beta _{11}^{\text{T}}$$\beta _{33}^{\text{T}}$$\beta \ _{11}^{\text{S}}$$\beta _{33}^{\text{S}}$
    20.659.719.859.7485168505168
    Table 5. Full matrix material coefficient of LGT crystal at 400 ℃
    Maoxin SU, Xinchen LI, Kainan XIONG, Sheng WANG, Yunlin CHEN, Xiaoniu TU, Erwei SHI. Characterization of High Temperature Resistivity and Full Matrix Material Coefficient of LGT Crystals[J]. Journal of Inorganic Materials, 2023, 38(11): 1364
    Download Citation