2019
DOI: 10.1016/j.actamat.2019.03.021
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First-principles study, fabrication and characterization of (Zr0.25Nb0.25Ti0.25V0.25)C high-entropy ceramics

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Cited by 346 publications
(195 citation statements)
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“…Therefore, by using the energies from DFT calculations in Table , the normalΔHmix0normalK is calculated to be about −1.423 kJ/mol, as listed in Table , suggesting that ZTNTC is thermodynamically stable in terms of four individual metal carbides at 0 K and 0 Pa. Meanwhile, the ΔSmix of ZTNTC can be expressed as follows:normalΔSmix=-R22.047em2.047emtrue[i=1Nkxikln)(xik+xvhln)(xvh+1-xvhln1-xvh2.047em2.047emtrue]where R is the ideal gas constant, N k is the element species in the metal sublattice, xik is the molar fractions of the constituent i in the metal sublattice, and xvh is the molar fraction of the vacancies in the carbon sublattice. In the present work, we assume that there are no carbon vacancies and thereby the ΔSmix of ZTNTC can be calculated to be 0.693 R (Table ).…”
Section: Resultsmentioning
confidence: 99%
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“…Therefore, by using the energies from DFT calculations in Table , the normalΔHmix0normalK is calculated to be about −1.423 kJ/mol, as listed in Table , suggesting that ZTNTC is thermodynamically stable in terms of four individual metal carbides at 0 K and 0 Pa. Meanwhile, the ΔSmix of ZTNTC can be expressed as follows:normalΔSmix=-R22.047em2.047emtrue[i=1Nkxikln)(xik+xvhln)(xvh+1-xvhln1-xvh2.047em2.047emtrue]where R is the ideal gas constant, N k is the element species in the metal sublattice, xik is the molar fractions of the constituent i in the metal sublattice, and xvh is the molar fraction of the vacancies in the carbon sublattice. In the present work, we assume that there are no carbon vacancies and thereby the ΔSmix of ZTNTC can be calculated to be 0.693 R (Table ).…”
Section: Resultsmentioning
confidence: 99%
“…Moreover, an empirical parameter (δ), which denotes the lattice size difference, has been proposed to predict the formation ability of some metal diboride or carbide solid solutions, which plays a positive role, and it can be expressed in ZTNTC by the following equation:δ=i=1nci)(1-rirfalse¯2where n is the metal carbide component species in ZTNTC, c i is the molar fraction of the i th component of the metal carbides, and r i stands for the lattice constants of the individual metal carbides and rfalse¯=false∑i=1nciri. The calculated δ for ZTNTC is about 2.959%, as shown in Table , which is smaller than the value (4.59%) of the previously fabricated high‐entropy (Zr 0.25 Nb 0.25 Ti 0.25 V 0.25 )C ceramics . Generally speaking, a smaller δ suggests smaller lattice distortions in the solid solutions, which will promote the formation of the solid solutions.…”
Section: Resultsmentioning
confidence: 99%
“…A total of 20 indentations were conducted on each sample. A semi‐empirical fracture mechanics analysis of the cracks associated with microindentations yields a measure of fracture toughness, K IC (Equation ), given as:KIC=χ)(EH1/2pc3false/2,where p is the applied load (N); χ is an empirical constant, H is the hardness (GPa); E is the Young's modulus (GPa) and c represents the average crack length (m) determined from the four radial cracks produced from indentations.…”
Section: Experimental Methodsmentioning
confidence: 99%
“…Ultra‐high temperature ceramics (UHTCs), including transition‐metal carbides, borides, and nitrides, have recently been receiving great research attention for potential harsh environment applications in nuclear reactors, cutting tools, and aerospace, owing to their outstanding comprehensive high‐temperature physical and chemical properties . However, the existing UHTCs cannot meet the increased requirements with the rapid development of the next‐generation hypersonic flight vehicle and engine parts.…”
Section: Introductionmentioning
confidence: 99%
“…Among the existing solid‐solution ceramics, the solid‐solution ceramics of transition‐metal carbides, are regarded as the most ideal candidates for the extreme environment since their individual metal carbide components possess high melting point (>3000°C), outstanding high‐temperature stability, and good mechanical performance . Up to now, numerous methods have been developed to synthesize the solid‐solution ceramics of transition‐metal carbides, including reaction sintering, carbothermal reaction, arc melting, and polymer‐derived‐ceramic (PDC) route . Among those advanced fabrication methods, PDC route is considered as an ideal route to obtain ceramic matrix composites due to its advantage of polymer‐processing techniques .…”
Section: Introductionmentioning
confidence: 99%