2020
DOI: 10.1016/j.ceramint.2020.01.115
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The influence of vacancy defects on elastic and electronic properties of TaSi (5/3) desilicides from a first-principles calculations

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Cited by 63 publications
(10 citation statements)
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“…The structural stability of the crystal is a critical parameter that must be taken into account when the investigations of a material are made using DFT calculations. In this regard, we have determined the formation enthalpies (normalΔH${{\Delta}}H$) for all under‐study compounds with the help of the following relation 28 : normalΔH()Hf2AXbadbreak=140.33em[]ETHf2AX()2ETHfgoodbreak+ETA+ETX$$\begin{equation}{{\Delta}}H\left( {{\mathrm{Hf}}_2{\mathrm{AX}}} \right) = \frac{1}{4}\ \left[ {E_{\mathrm{T}}^{{\mathrm{Hf}}_2{\mathrm{AX}}} - \left( {2E_{\mathrm{T}}^{{\mathrm{Hf}}} + E_{\mathrm{T}}^{\mathrm{A}} + E_{\mathrm{T}}^{\mathrm{X}}} \right)} \right]\end{equation}$$where EnormalTHf2AX$E_{\mathrm{T}}^{{\mathrm{Hf}}_2{\mathrm{AX}}}$ represents the total energy of Hf 2 AX (A═Al, Si and X═C, N) compounds, whereas EnormalTHf$E_{\mathrm{T}}^{{\mathrm{Hf}}}$, EnormalTnormalA$E_{\mathrm{T}}^{\mathrm{A}}$, and EnormalTnormalX$E_{\mathrm{T}}^{\mathrm{X}}$ demonstrate the total energies of Hf, A (Al and Si), and X (C and N) atoms, respectively. The calculated normalΔH${{\Delta}}H$ values for Hf 2 SiC, Hf 2 AlC, Hf 2 SiN, and Hf 2 AlN MAX phases are listed in Table 1.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The structural stability of the crystal is a critical parameter that must be taken into account when the investigations of a material are made using DFT calculations. In this regard, we have determined the formation enthalpies (normalΔH${{\Delta}}H$) for all under‐study compounds with the help of the following relation 28 : normalΔH()Hf2AXbadbreak=140.33em[]ETHf2AX()2ETHfgoodbreak+ETA+ETX$$\begin{equation}{{\Delta}}H\left( {{\mathrm{Hf}}_2{\mathrm{AX}}} \right) = \frac{1}{4}\ \left[ {E_{\mathrm{T}}^{{\mathrm{Hf}}_2{\mathrm{AX}}} - \left( {2E_{\mathrm{T}}^{{\mathrm{Hf}}} + E_{\mathrm{T}}^{\mathrm{A}} + E_{\mathrm{T}}^{\mathrm{X}}} \right)} \right]\end{equation}$$where EnormalTHf2AX$E_{\mathrm{T}}^{{\mathrm{Hf}}_2{\mathrm{AX}}}$ represents the total energy of Hf 2 AX (A═Al, Si and X═C, N) compounds, whereas EnormalTHf$E_{\mathrm{T}}^{{\mathrm{Hf}}}$, EnormalTnormalA$E_{\mathrm{T}}^{\mathrm{A}}$, and EnormalTnormalX$E_{\mathrm{T}}^{\mathrm{X}}$ demonstrate the total energies of Hf, A (Al and Si), and X (C and N) atoms, respectively. The calculated normalΔH${{\Delta}}H$ values for Hf 2 SiC, Hf 2 AlC, Hf 2 SiN, and Hf 2 AlN MAX phases are listed in Table 1.…”
Section: Resultsmentioning
confidence: 99%
“…The structural stability of the crystal is a critical parameter that must be taken into account when the investigations of a material are made using DFT calculations. In this regard, we have determined the formation enthalpies (Δ𝐻) for all under-study compounds with the help of the following relation 28 :…”
Section: Structural and Dynamical Stabilitiesmentioning
confidence: 99%
“…The stability of the vacancy structure is represented by the vacancy formation energy, which is defined by Equation (16) [ 23 ] Enormalf=EKSNVEKSN+(Enormalv)where E f is the vacancy formation energy, E KSN‐V is the total energy of the structure with vacancies, E KSN is the total energy of the perfect KSN, and E v is the total energy of the vacant atoms. The difficulty of forming defects can be explained by the degree of vacancy formation energy.…”
Section: Resultsmentioning
confidence: 99%
“…Hence, it is necessary to study the influence of the various types of vacancy defects on the material properties. [14,15] Chen et al [16] used the first-principles method to investigate the influence of vacancies on both the elastic and electronic properties of Ta 5 Si 3 .…”
Section: Introductionmentioning
confidence: 99%