Abstract:The search for new superhard materials has usually focused on strong covalent solids. It is, however, a huge challenge to design superhard metals because of the low resistance of metallic bonds against the formation and movement of dislocations. Here, we report a microscopic mechanism of enhancing hardness by identifying highly stable thermodynamic phases and strengthening weak slip planes. Using the well-known transition-metal borides as prototypes, we demonstrate that several low borides possess unexpectedly… Show more
“…Consequently, the calculated bulk modulus of TiC from first-principles calculation is only 252.4 GPa, which is far lower than that of diamond, Os, and the osmium di-borides. However, according to recent reports of S. H. Jhi and Y. C. Liang, a valence electron number of eight will result in the most reasonable electronic structure, and thus higher hardness [31][32][33][34]. The valence electron of TiC is about eight electrons, and this may be one of the reasons for its exceptionally high hardness.…”
We report the synthesis of a polycrystalline specimen of TiC 1−x under high-pressure and high-temperature (HPHT) conditions. The carbon vacancy, crystal structure, Vicker hardness, elastic constants, and bond features of the synthesized specimen were investigated. Though the specimens were synthesized with stoichiometric ratio at high pressure, a robust carbon vacancy was observed using energy dispersive and X-ray photoelectron spectrum. TiC 1−x exhibits almost the highest asymptotic Vickers hardness in transition-metal light-element (TMLE) compounds. In this study, using Vickers hardness characterization, the asymptotic hardness was found to be 27.1 GPa. This exceeds the hardness of most transition metal borides with high boron concentrations. Based on the first-principles calculation of the Mulliken population of Ti-C bonds, the intrinsic high Vickers hardness of TiC 1−x is attributed to the combination of covalent Ti-C bonds and the optimized eight-valence-electron structure, while the extrinsic contribution comes from the harden effect of carbon defects. This work demonstrates that a higher concentration of light elements or a higher-dimensional light element framework is not the critical factor for higher hardness, and carbon vacancy is another way to strengthen the crystal structure.
“…Consequently, the calculated bulk modulus of TiC from first-principles calculation is only 252.4 GPa, which is far lower than that of diamond, Os, and the osmium di-borides. However, according to recent reports of S. H. Jhi and Y. C. Liang, a valence electron number of eight will result in the most reasonable electronic structure, and thus higher hardness [31][32][33][34]. The valence electron of TiC is about eight electrons, and this may be one of the reasons for its exceptionally high hardness.…”
We report the synthesis of a polycrystalline specimen of TiC 1−x under high-pressure and high-temperature (HPHT) conditions. The carbon vacancy, crystal structure, Vicker hardness, elastic constants, and bond features of the synthesized specimen were investigated. Though the specimens were synthesized with stoichiometric ratio at high pressure, a robust carbon vacancy was observed using energy dispersive and X-ray photoelectron spectrum. TiC 1−x exhibits almost the highest asymptotic Vickers hardness in transition-metal light-element (TMLE) compounds. In this study, using Vickers hardness characterization, the asymptotic hardness was found to be 27.1 GPa. This exceeds the hardness of most transition metal borides with high boron concentrations. Based on the first-principles calculation of the Mulliken population of Ti-C bonds, the intrinsic high Vickers hardness of TiC 1−x is attributed to the combination of covalent Ti-C bonds and the optimized eight-valence-electron structure, while the extrinsic contribution comes from the harden effect of carbon defects. This work demonstrates that a higher concentration of light elements or a higher-dimensional light element framework is not the critical factor for higher hardness, and carbon vacancy is another way to strengthen the crystal structure.
“…Superhard materials have long attracted tremendous attention for a wide range of applications, such as high-temperature applications, surface protection, and abrasive materials [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Diamond is the hardest substance, which maintains records of bulk modulus, shear modulus, and high hardness of 432 GPa, 535 GPa, and 60-150 GPa, respectively.…”
Section: Introductionmentioning
confidence: 99%
“…The balance of high hardness and excellent metallicity is a central challenge to design superhard metals. However, great success has been achieved with the discovery of transition-metal (TM) light-element (LE) compounds [7][8][9][10][11][12][13][14][15]. It is generally believed that their high hardness stems from a combination of high valence-electron concentration to resist volume compression and strong covalent bonding to counteract shape deformation [7,8].…”
Anisotropies in the elasticity, sound velocity, and minimum thermal conductivity of low borides VB, V5B6, V3B4, and V2B3 are discussed using the first-principles calculations. The various elastic anisotropic indexes (AU, Acomp, and Ashear), three-dimensional (3D) surface contours, and their planar projections among different crystallographic planes of bulk modulus, shear modulus, and Young’s modulus are used to characterize elastic anisotropy. The bulk, shear, and Young’s moduli all show relatively strong degrees of anisotropy. With increased B content, the degree of anisotropy of the bulk modulus increases while those of the shear modulus and Young’s modulus decrease. The anisotropies of the sound velocity in the different planes show obvious differences. Meanwhile, the minimum thermal conductivity shows little dependence on crystallographic direction.
“…Superhard metals show excellent performance, including the high hardness, wear resistance, good thermodynamic stability and metallic behavior, compared with traditional superhard materials. [ 1–9 ] The superhard metals can be synthesized by inserting strong covalent bonds of light element (LE), such as carbon, boron, nitrogen, into transition metal (TM) with a large number of valence electrons. Based on the classical thought, to obtain a high hardness, a straightforward way was to incorporate more light atoms into the transition metal to form strong covalent bonds.…”
Section: Introductionmentioning
confidence: 99%
“…[ 11 ] Liang et al also found that several low borides showed unexpectedly high hardness, while the hardness reduced for high borides. [ 2 ] Lu et al predicted the hardness of hP4‐WN and hP6‐WN 2 exceeded 40 GPa using the first principles. [ 12 ] The high hardness and low light element content in TM‐LE compound makes the superhard metal possible.…”
The physical properties of Cr2B with I4/m symmetry under pressure are investigated by the first‐principles method. With the increase in pressure, the hardness decreases first and then slightly increases, whereas the bulk modulus, shear modulus, Young's modulus, fracture toughness, minimum thermal conductivity, and Debye temperature monotonically increase. Pressure induces the transition from brittleness to toughness at ≈30 GPa. When P > 30 GPa, the hardness and toughness increase simultaneously with pressure. The analysis of electronic structure indicates that the variation of BB covalent bonds may be responsible for the abnormous increase in hardness when P > 30 GPa.
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