Deforming Diamond

Ciprian S. Borcea; Ileana Streinu

Deforming Diamond

Metric Geometry 2015-01-16 v1 Computational Geometry

Authors: Ciprian S. Borcea , Ileana Streinu

Abstract

For materials science, diamond crystals are almost unrivaled for hardness and a range of other properties. Yet, when simply abstracting the carbon bonding structure as a geometric bar-and-joint periodic framework, it is far from rigid. We study the geometric deformations of this type of framework in arbitrary dimension d, with particular regard to the volume variation of a unit cell.

Keywords

crystal bases deformation theory

Cite

@article{arxiv.1501.03551,
  title  = {Deforming Diamond},
  author = {Ciprian S. Borcea and Ileana Streinu},
  journal= {arXiv preprint arXiv:1501.03551},
  year   = {2015}
}

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