“…The model dependence of the bulk modulus is small compared with the shear and Young's moduli. This reflects the fact that the bulk modulus is mainly influenced by the valence electron density rather than by other chemical properties, such as bonding characteristics: TaC has one more valence electron than HfC. Similar behavior of the bulk modulus has been observed in other transition metal composite systems …”
Section: Resultssupporting
confidence: 66%
“…The higher cohesive energies given by GGA-PBEsol compared with GGA-PBE reflect over bind manner of the GGA-PBEsol, which are shown in the equilibrium lattice parameter calculations. 17,18 In addition, the tiny differences in the formation and cohesive energies between the models (supercells and SQSs) demonstrate the high accuracy of our calculated results and the small dependence of atomic configuration on the stability and bond strength, due to the atomic similarity of Hf and Ta.…”
Section: Resultssupporting
confidence: 51%
“…The random distribution was also represented in the SQS models, and Figure C,D show the SQS models of (Hf 0.75 Ta 0.25 )C and (Hf 0.5 Ta 0.5 )C, respectively. Although the apparent crystal structures (space groups) of the SQS models are P1 and Pm, which are different from the original cubic (Fm‐3m) structure, the results from the SQS models have previously yielded reliable results in transition metal carbide systems not only for elastic properties, but also for thermodynamic and electronic properties . In the present work, results from the unit cell, supercell, and SQS models were compared to improve the reliability of the results.…”
Section: Resultsmentioning
confidence: 98%
“…the original cubic (Fm-3m) structure, the results from the SQS models have previously yielded reliable results in transition metal carbide systems not only for elastic properties, but also for thermodynamic and electronic properties. 17,20,29,32 In the present work, results from the unit cell, supercell, and SQS models were compared to improve the reliability of the results. The lattice parameters of the composite, (Hf 1−x Ta x )C, show a linear decrease with increasing TaC, x, content in the composites.…”
Bond characteristics, mechanical properties, and high‐temperature thermal conductivity of ultrahigh‐temperature ceramics (UHTCs), hafnium carbide (HfC), tantalum carbide (TaC), and their solid solution composites, were investigated using first‐principles calculations. Mulliken analyses revealed that Ta formed stronger covalent bonds with C than did Hf. Bond overlap analyses indicated that the Hf–C bond possessed mixed covalent and ionic bond characteristics, compared with the more covalent character of the Ta–C bond. Consequently, the overall elastic properties were enhanced with increasing number of Ta–C bonds in the composites. The overall metallicity of the composites also increased with increasing TaC content; thus, the mechanical properties did not improve monotonically. Our results indicate that adding a small amount of TaC to HfC or vice versa to produce a composite would create a new UHTC with greatly improved elastic and mechanical properties as well as high‐temperature thermal conductivity.
“…The model dependence of the bulk modulus is small compared with the shear and Young's moduli. This reflects the fact that the bulk modulus is mainly influenced by the valence electron density rather than by other chemical properties, such as bonding characteristics: TaC has one more valence electron than HfC. Similar behavior of the bulk modulus has been observed in other transition metal composite systems …”
Section: Resultssupporting
confidence: 66%
“…The higher cohesive energies given by GGA-PBEsol compared with GGA-PBE reflect over bind manner of the GGA-PBEsol, which are shown in the equilibrium lattice parameter calculations. 17,18 In addition, the tiny differences in the formation and cohesive energies between the models (supercells and SQSs) demonstrate the high accuracy of our calculated results and the small dependence of atomic configuration on the stability and bond strength, due to the atomic similarity of Hf and Ta.…”
Section: Resultssupporting
confidence: 51%
“…The random distribution was also represented in the SQS models, and Figure C,D show the SQS models of (Hf 0.75 Ta 0.25 )C and (Hf 0.5 Ta 0.5 )C, respectively. Although the apparent crystal structures (space groups) of the SQS models are P1 and Pm, which are different from the original cubic (Fm‐3m) structure, the results from the SQS models have previously yielded reliable results in transition metal carbide systems not only for elastic properties, but also for thermodynamic and electronic properties . In the present work, results from the unit cell, supercell, and SQS models were compared to improve the reliability of the results.…”
Section: Resultsmentioning
confidence: 98%
“…the original cubic (Fm-3m) structure, the results from the SQS models have previously yielded reliable results in transition metal carbide systems not only for elastic properties, but also for thermodynamic and electronic properties. 17,20,29,32 In the present work, results from the unit cell, supercell, and SQS models were compared to improve the reliability of the results. The lattice parameters of the composite, (Hf 1−x Ta x )C, show a linear decrease with increasing TaC, x, content in the composites.…”
Bond characteristics, mechanical properties, and high‐temperature thermal conductivity of ultrahigh‐temperature ceramics (UHTCs), hafnium carbide (HfC), tantalum carbide (TaC), and their solid solution composites, were investigated using first‐principles calculations. Mulliken analyses revealed that Ta formed stronger covalent bonds with C than did Hf. Bond overlap analyses indicated that the Hf–C bond possessed mixed covalent and ionic bond characteristics, compared with the more covalent character of the Ta–C bond. Consequently, the overall elastic properties were enhanced with increasing number of Ta–C bonds in the composites. The overall metallicity of the composites also increased with increasing TaC content; thus, the mechanical properties did not improve monotonically. Our results indicate that adding a small amount of TaC to HfC or vice versa to produce a composite would create a new UHTC with greatly improved elastic and mechanical properties as well as high‐temperature thermal conductivity.
“…Previous studies have explained the overall elastic and mechanical properties in terms of electronic structures [45,46]. Therefore, we calculated the electronic density of states (DOS, Fermi level (0 eV) than WC (Fig.…”
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