Dynamic Elasticity of Cubic Diamond
Previously, the structure of the carbon allotrope glitter has been disclosed, and a theory accompanying the structural report as to its bulk modulus at pressure predicted it would be among the hardest materials possible. The dynamic elasticity theory developed in that paper, involving the forces generated in elastic chemical bond deformations resulting from applied mechanical forces, is here applied to the cubic diamond lattice. Stresses, both lateral and axial, contribute to the bulk modulus of cubic diamond at pressure. The ultimate strength of the cubic diamond lattice, in the approximations of the dynamic elasticity theory presented in this paper, is estimated to be in excess of 1 TPa, at modest bond length deformations of about 0.1 Å, and when including the zero pressure bulk modulus B 0 in the computation. In particular, the dynamic elasticity model predicts the hardest direction of cubic diamond will be for an isotropic mechanical force applied along 〈111〉 directions of the structural unit cell.
Keywordscubic diamond elasticity crystal structure force density
AMS subject classificationelasticity crystallography
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- 1.Hazen R.M. (1994). The New Alchemists. Times Books-Random House, New YorkGoogle Scholar
- 3.(a) C.E. Weir, E.R. Lippincott, A. Van Valkenburg and E.N. Bunting, J. Res. Nat. Bur. Stand. 63A (1959) 55. (b) J.C. Jamieson, A.W. Larson and N.D. Nachtrieb, Rev. Sci. Instrum. 30 (1959) 1016.Google Scholar
- 5.Feynman R.P., Leighton R.B., Sands M. (1964). The Feynman Lectures on Physics, 1st ed. Addison-Wesley, Reading, MAGoogle Scholar
- 7.Herzberg G. (1950). Molecular Spectra and Molecular Structure I: Spectra of Diatomic Molecules 2nd ed. Van Nostrand Co Inc., PrincetonGoogle Scholar