• Journal of Inorganic Materials
  • Vol. 35, Issue 1, 53 (2020)
Xin-Xin QI1, Guang-Ping SONG1, Wei-Long YIN1, Ming-Fu WANG2, Xiao-Dong HE1, Yong-Ting ZHENG1, Rong-Guo WANG1, and Yue-Lei BAI1、*
Author Affiliations
  • 1National Key Laboratory of Science and Technology on Advanced Composites in Special Environments, Harbin Institute of Technology, Harbin 150080, China
  • 2Beijing Power Machinery Research Institute, Beijing 100074, China
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    DOI: 10.15541/jim20190160 Cite this Article
    Xin-Xin QI, Guang-Ping SONG, Wei-Long YIN, Ming-Fu WANG, Xiao-Dong HE, Yong-Ting ZHENG, Rong-Guo WANG, Yue-Lei BAI. Analysis on Phase Stability and Mechanical Property of Newly-discovered Ternary Layered Boride Cr4AlB4[J]. Journal of Inorganic Materials, 2020, 35(1): 53 Copy Citation Text show less
    Crystal structure of Cr4AlB4 (a) and CrB (b)
    1. Crystal structure of Cr4AlB4 (a) and CrB (b)
    Phonon dispersions (a) and density of state (b) of Cr4AlB4 along the high symmetry directions
    2. Phonon dispersions (a) and density of state (b) of Cr4AlB4 along the high symmetry directions
    Pressure dependence of the normalized cell volume V/V0 as well as the normalized lattice parameters a/a0, b/b0 and c/c0 of Cr4AlB4 (a) and the normalized bond length d/d0 in Cr4AlB4 (b)
    3. Pressure dependence of the normalized cell volume V/V0 as well as the normalized lattice parameters a/a0, b/b0 and c/c0 of Cr4AlB4 (a) and the normalized bond length d/d0 in Cr4AlB4 (b)
    Total and partial density of states of Cr4AlB4 (a) and CrB (b)
    4. Total and partial density of states of Cr4AlB4 (a) and CrB (b)
    Electron density difference maps on (001) (a), (100) (b) and (101) (c) planes of Cr4AlB4
    5. Electron density difference maps on (001) (a), (100) (b) and (101) (c) planes of Cr4AlB4
    Lattice parametersInternal coordinatesDensity/(g·cm-3)DOS at Ef/(States·eV-1·Unit cell-1)Bulk modulus/GPaPressure derivative
    a/nmb/nmc/nmV/nm3yCr1yCr2yAlyB1yB2
    Cr4AlB4LDA0.287661.85780.288670.15427---------
    GGAPBE0.293121.89230.295120.16370--------
    RPBE0.293341.89630.295510.164390.29260.58750.50.38030.67205.647.031234.164.55
    PW910.291971.88630.294350.16212---------
    Exp[13]0.293431.88910.297330.164810.29360.58590.50.38390.6646----
    CrBCal[27]0.29240.78360.29110.06670-----6.25---
    Table 1. Lattice parameters and some basic property of Cr4AlB4 and CrB
    Cr4AlB4Cr2AlB2CrB
    d/nmk/GPad/nm[3]k/GPa[26]d/nmd/nm[27]k/GPa
    Cr1-Al0.26626250.26443617---
    Cr1-B10.21698850.220148130.217120.2158917
    Cr1-B20.218011900.2187611490.22120.22001123
    Cr2-B10.22241074-----
    Cr2-B20.2187840-----
    Cr2-B30.2288826-----
    B1-B20.177111230.1761610990.178410.17221149
    Al-B10.22695740.22765571---
    Table 2. Bond length and bond stiffness in Cr4AlB4, and Cr2AlB2 as well as binary borides CrB
    Included phasesCompoundMost competing phasesΔHcomp/(eV·atom-1)
    CrB, CrB2, CrB4, Cr2B, Cr5B3, Cr3B4, Cr2B3, Cr2Al, Cr5Al8, Cr7Al45, AlB2, AlB12, Cr2AlB2, Cr3AlB4, Cr4AlB6Cr4AlB42CrB+Cr2AlB2-0.2207
    Cr2AlB2[26]2CrB+Al-0.0461
    Table 3. Formation enthalpy ΔHcomp for Cr4AlB4, phases with ΔHcomp < 0 are in bold
    Boder charge/eCr1Cr2AlB1B2
    CrB-0.79--0.78-
    Cr2AlB2[26]-0.37--1.501.12-
    Cr4AlB4-0.39-0.76-1.481.150.74
    Table 4. Bader charge analysis of Cr4AlB4, Cr2AlB2 and CrB
    Compoundc11c12c13c22c23c33c44c55c66GBG/BEμθD/K
    Cr4AlB45941121264721204671851762311942450.794600.19923
    Cr2AlB2[26]5051011114101094371581622091742210.794140.19892
    MoAlB[25]3271431503131283841871561661422070.663470.22675
    CrB4951651655811475792202202652192890.785250.2963
    Cr2AlC[23]396117156--382173--146.9225.8-357.70.236774
    Table 5. The calculated second-order elastic constants (cij/GPa), shear moduli (G/GPa), bulk moduli (B/GPa), Young’s moduli (E/GPa), Poisson ratio (μ), and Debye temperature (θD/K) of Cr4AlB4
    Xin-Xin QI, Guang-Ping SONG, Wei-Long YIN, Ming-Fu WANG, Xiao-Dong HE, Yong-Ting ZHENG, Rong-Guo WANG, Yue-Lei BAI. Analysis on Phase Stability and Mechanical Property of Newly-discovered Ternary Layered Boride Cr4AlB4[J]. Journal of Inorganic Materials, 2020, 35(1): 53
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