• Acta Physica Sinica
  • Vol. 69, Issue 4, 043102-1 (2020)
Jun Li1、3, Li-Sheng Liu2、3, Shuang Xu1、3、*, and Jin-Yong Zhang2
Author Affiliations
  • 1Hubei Key Laboratory of Theory and Application of Advanced Materials Mechanics, Wuhan University of Technology, Wuhan 430070, China
  • 2State Key Laboratory of Advanced Technology for Materials Synthesis and Processing, Wuhan University of Technology, Wuhan 430070, China
  • 3Institute of Advanced Material Manufacturing Equipment and Technology, Wuhan University of Technology, Wuhan 430070, China
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    DOI: 10.7498/aps.69.20191194 Cite this Article
    Jun Li, Li-Sheng Liu, Shuang Xu, Jin-Yong Zhang. Mechanical, electronic properties and deformation mechanisms of Ti3B4 under uniaxial compressions: a first-principles calculation [J]. Acta Physica Sinica, 2020, 69(4): 043102-1 Copy Citation Text show less
    The crystal structure of Ti3B4: (a) The unit cell; (b) the supercell. The blue balls in the figure denote the Ti atoms, and the green balls refer to the B atoms.
    Fig. 1. The crystal structure of Ti3B4: (a) The unit cell; (b) the supercell. The blue balls in the figure denote the Ti atoms, and the green balls refer to the B atoms.
    The stress-strain relationship of Ti3B4 under uniaxial compressions.
    Fig. 2. The stress-strain relationship of Ti3B4 under uniaxial compressions.
    The structural and ELF at various strains under a-axis uniaxial compression: (a) ε = 0.00; (b) ε = 0.10; (c) ε = 0.15; (d) ε = 0.24; (e) ε = 0.242.
    Fig. 3. The structural and ELF at various strains under a-axis uniaxial compression: (a) ε = 0.00; (b) ε = 0.10; (c) ε = 0.15; (d) ε = 0.24; (e) ε = 0.242.
    Variation of bond lengths as a function of a-axis uniaxial compressive strain.
    Fig. 4. Variation of bond lengths as a function of a-axis uniaxial compressive strain.
    The ELF at critical strains of (100) crystal plane in Ti3B4 structure under a-axis uniaxial compression: (a) ε = 0.24; (b) ε = 0.242.
    Fig. 5. The ELF at critical strains of (100) crystal plane in Ti3B4 structure under a-axis uniaxial compression: (a) ε = 0.24; (b) ε = 0.242.
    The structural and ELF at various strains under b-axis uniaxial compression: (a) ε = 0.10; (b) ε = 0.14; (c) ε = 0.26; (d) ε = 0.268.
    Fig. 6. The structural and ELF at various strains under b-axis uniaxial compression: (a) ε = 0.10; (b) ε = 0.14; (c) ε = 0.26; (d) ε = 0.268.
    Variation of bond lengths as a function of b-axis uniaxial compressive strain.
    Fig. 7. Variation of bond lengths as a function of b-axis uniaxial compressive strain.
    The ELF at critical strains of (100) crystal plane in Ti3B4 structure under b-axis uniaxial compression: (a) ε = 0.14; (b) ε = 0.20; (c) ε = 0.26; (d) ε = 0.268.
    Fig. 8. The ELF at critical strains of (100) crystal plane in Ti3B4 structure under b-axis uniaxial compression: (a) ε = 0.14; (b) ε = 0.20; (c) ε = 0.26; (d) ε = 0.268.
    The structural and ELF at various strains under c-axis uniaxial compression: (a) ε = 0.10; (b) ε = 0.13; (c) ε = 0.18; (d) ε = 0.20; (e) ε = 0.26.
    Fig. 9. The structural and ELF at various strains under c-axis uniaxial compression: (a) ε = 0.10; (b) ε = 0.13; (c) ε = 0.18; (d) ε = 0.20; (e) ε = 0.26.
    Variation of bond lengths in Ti3B4 as a function of c-axis uniaxial compressive strain.
    Fig. 10. Variation of bond lengths in Ti3B4 as a function of c-axis uniaxial compressive strain.
    TDOS and PDOS for undeformed Ti3B4.
    Fig. 11. TDOS and PDOS for undeformed Ti3B4.
    TDOS and PDOS for Ti3B4 at critical strains under uniaxial compressions: (a) ε = 0.242 (a-axis); (b) ε = 0.268 (b-axis); (c) ε = 0.19 (c-axis).
    Fig. 12. TDOS and PDOS for Ti3B4 at critical strains under uniaxial compressions: (a) ε = 0.242 (a-axis); (b) ε = 0.268 (b-axis); (c) ε = 0.19 (c-axis).
    D(Ti-s)D(Ti-3p)D(Ti-3d)D(B-2s)D(B-2p)D(Total)
    峰值A0.01370.09590.56100.03080.52713.0945
    谷值B0.00010.00070.19960.00100.0192.2669
    Table 1.

    The PDOS of a Ti and a B atom and TDOS of Ti3B4 at Peak A and Bottom B (states/eV).

    峰值A和谷值B处的Ti原子和B原子的PDOS和Ti3B4的TDOS (states/eV)

    Jun Li, Li-Sheng Liu, Shuang Xu, Jin-Yong Zhang. Mechanical, electronic properties and deformation mechanisms of Ti3B4 under uniaxial compressions: a first-principles calculation [J]. Acta Physica Sinica, 2020, 69(4): 043102-1
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