Abstract

–carbon was first proposed by Zhang et al., this paper will report regarding this phase of carbon. The present paper reports the structural and elastic properties of the three-dimensional carbon allotrope –carbon using first-principles density functional theory. The related enthalpy, elastic constants, and phonon spectra confirm that the newly-predicted –carbon is thermodynamically, mechanically, and dynamically stable. The calculated mechanical properties indicate that –carbon has a larger bulk modulus (393 GPa), shear modulus (421 GPa), Young’s modulus (931 GPa), and hardness (55.5 GPa), all of which are all slightly larger than those of c-BN. The present results indicate that –carbon is a superhard material and an indirect-band-gap semiconductor. Moreover, –carbon shows a smaller elastic anisotropy in its linear bulk modulus, shear anisotropic factors, universal anisotropic index, and Young’s modulus.

Highlights

  • IntroductionThe group 14 elements, such as carbon, silicon, and germanium, have attracted much interest and have been extensively studied [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]

  • Some scholars of great research found several carbon allotropes with low-energy metastable structures, such as monoclinic M-carbon [1,2], F-carbon [3], orthorhombic W-carbon [4], Z-carbon [5], H-carbon and S-carbon [6], C-carbon [7], Imma-carbon [8,9], M585-carbon [10], T12-carbon [11], C2/m-16 carbon [12], P2221 -carbon [13], and Cco-carbon [14]. We found that these carbon allotropes, with low-energy metastable structures with sp3 hybridization, could possibly explain the superhard property of materials

  • In conclusion, the low-energy metastable structures of I4–carbon have been systematically investigated based on the density functional theory

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Summary

Introduction

The group 14 elements, such as carbon, silicon, and germanium, have attracted much interest and have been extensively studied [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]. The quest for carbon materials with desired properties is of great interest in both fundamental science and advanced technology. Some scholars of great research found several carbon allotropes with low-energy metastable structures, such as monoclinic M-carbon [1,2], F-carbon [3], orthorhombic W-carbon [4], Z-carbon [5], H-carbon and S-carbon [6], C-carbon [7], Imma-carbon [8,9], M585-carbon [10], T12-carbon [11], C2/m-16 carbon [12], P2221 -carbon [13], and Cco-carbon [14]. We found that these carbon allotropes, with low-energy metastable structures with sp hybridization, could possibly explain the superhard property of materials.

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