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. 2023 Dec 1;23:958. doi: 10.1186/s12903-023-03691-8

Table 13.

The comprehensive analysis of the materials used in the study

Property/Characteristic Ti Metal Ti–Al-2 V Alloy Zirconia
Crystal Structure Simple Hexagonal (Space Group: P63/MMC) Simple Triclinic (Space Group: P1) Simple Cubic (Space Group: FM-3 M)
Atomic Arrangement Ti atoms at simple cubic corner lattice points; hexagonal lattice in the basal plane Ti atoms at simple cubic corner lattice points, Al atoms at center, V atoms between Ti atoms along c-axis Zn atoms at simple cubic corner lattice points, forming connections with O atoms
Electronic Band Structure Complete bandgap; Stable electronic structure with well-organized arrangement Complete bandgap; Presence of imaginary frequencies indicates instability Complete bandgap; Wider energy range suggests potential complex phonon structure
Dynamic Stability Dynamically stable with absence of imaginary frequencies within specified energy range Presence of imaginary frequencies indicating instability Presence of imaginary frequencies indicating potential instability
Fermi Surface Well-defined, nearly complete drum-shaped Fermi surface indicating good mechanical stability and interatomic bonding - -
Stiffness Matrix Diagonal: 198.14 GPa, Off-diagonal: - Diagonal: 331.70–331.93 GPa, Off-diagonal: -0.0064 to -0.00605 Diagonal: 131.13 GPa, Off-diagonal: Relatively High
Average Properties Bulk Modulus: 101–104 GPa, Young's Modulus: 64–88 GPa, Shear Modulus: 23–32 GPa, Poisson's Ratio: 0.358–0.394 Bulk Modulus: Higher, Young's Modulus: Higher, Shear Modulus: Higher, Poisson's Ratio: Similar Range Bulk Modulus: Relatively High, Young's Modulus: High, Shear Modulus: Relatively High, Poisson's Ratio: Limited Lateral Deformation
Eigenvalues Eigenvalues: 13.485 GPa, 26.969 GPa, 44.526 GPa (Stiffness in Different Directions) Eigenvalues: 131.13 GPa (Identical in Principal Directions), 605.72 GPa, 892.33 GPa (Other Directions) Eigenvalues: 131.13 GPa (Isotropic in Principal Directions), 605.72 GPa, 892.33 GPa (Other Directions)
Elastic Moduli Variations Young's Modulus Range: 64–88 GPa, Linear Compressibility: Range, Shear Modulus Range: 23–32 GPa, Poisson's Ratio Range: 0.358–0.394 Young's Modulus Range: 171.42 GPa to 313.59 GPa, Linear Compressibility: Constant, Shear Modulus Range: 57.122 GPa to 144.26 GPa, Poisson's Ratio Range: 0.059882 to 0.50054 Young's Modulus Range: 342.99 GPa to 678.35 GPa, Linear Compressibility: Constant, Shear Modulus Range: 131.13 GPa to 302.86 GPa, Poisson's Ratio Range: 0.069175 to 0.49224