Unrelaxed unit cell crystal structures of, (a) C 7 B, (b) C 3 B (or C 6 B 2 ), (c) C 5 B 3 and (d) CB (or C 4 B 4 ).

Unrelaxed unit cell crystal structures of, (a) C 7 B, (b) C 3 B (or C 6 B 2 ), (c) C 5 B 3 and (d) CB (or C 4 B 4 ).

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A number of potentially ultra-hard materials are examined using ab-initio methods. Compound phases of varying lattice stoichiometry in the B-C-N-O quaternary system, in the forms, C8−xBx (x = 1, 2, 3, 4), C7−xBNx (x = 1, 2, 3) and C6−xBNOx (x = 1, 2) are proposed as possible ultra-hard materials with useful applications. Cell structures and elastic...

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Context 1
... ultra-hard materials. Crystal structure diagrams were constructed for all the materials, before a relaxation process was carried out, using the crystalline structure visualization and analyzer software package, Xcrysden [32]. Unrelaxed unit cells of C 7 B, C 3 B (or C 6 B 2 ), C 5 B 3 and CB (or C 4 B 4 ) as simulated by Xcrysden are shown in Fig. ...
Context 2
... formula in the form, C 8-x B x for a particular value of x is obtainable from the unit cell diagrams in Fig. 1, considering that the atoms at the corners and faces contribute 1/8 and 1/2 of their volume to the cell, respectively. A relaxation operation was carried out on each of the unit cell structures using Quantum Espresso. In this way the atomic positions were allowed to self-adjust according to the interatomic forces until equilibrium of the system was ...

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... The predominant atomic binding mechanism in super-hard materials is covalent bonding. The constituent atomic elements in these materials are often light, like C, B, O, and N [6] which are chemically suited for covalent bonding [7]. Since covalent bonds are generally directional and short, the light elements are able to form highly shear resistant threedimentional networks. ...
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We have used Particle Swarm Optimization (PSO) crystal lattice structure searching and first-principles structural optimization to explore polymorphs of BC5, possessing sp³ hybridization, under a varying applied hydrostatic pressure from 0 to 1400 kbars. Three low Gibbs free energy structures were identified. The first had a body-centred orthorhombic structure with the Space Group, Imm2. The second had a body-centred tetragonal structure with the Space Group, I4¯m2 and thirdly a structure with a primitive trigonal Space Group, P3m1. Dynamical and mechanical stabilities were established for the Imm2, orthorhombic BC5 (o-BC5) structure using its phonon dispersions and elastic constants. The bulk modulus of this predicted BC5 phase was 374.30, which is high enough to indicate a super-hard compound. The material is brittle with a B/G ratio of 1.002 and a low degree of elastic anisotropy with a Universal Elastic Anisotropy Index of 2.946 %. Our electronic structure study shows that o-BC5 presents metallicity with a likely increase in electron-type conductivity with increased applied pressure.