Necessary and Sufficient Elastic Stability Conditions in Various Crystal Systems

  title={Necessary and Sufficient Elastic Stability Conditions in Various Crystal Systems},
  author={F{\'e}lix Mouhat and Franccois-Xavier Coudert},
  journal={Physical Review B},
October, 2014)WhiletheBornelasticstabilitycriteriaarewell-knownforcubiccrystals,thereissomeconfusionintheliteratureabout the form it should take for lower symmetry crystal classes. We present here closed form necessary andsufficientconditionsforelasticstabilityinallcrystalclasses,asaconciseandpedagogicalreferencetostabilitycriteria in non-cubic materials. 

Tables from this paper

Electronic properties and high-pressure behavior of wolframite-type CoWO4
In this work, wolframite-type CoWO4 is characterized under ambient conditions and under compression up to 10 GPa, with emphasis on its electronic structure.
Energetic Validation of Various Crystal Structures in Zr2CoZ (Z = Al, Ga, In) Heusler Alloys
We energetically validate new Zr2CoZ (Z = Al, Ga, In) systems in the most common cubic crystal structures of Heusler alloys, that is, regular and inverse full-Heusler structures. The regular Heusle...
Structural, Mechanical and Electronic Properties of o-BC6N
Abstract The mechanical and electronic properties of o-BC6N are studied by using first-principles calculations. The anisotropy studies of Young’s modulus, shear modulus and Poisson’s ratio show that
Unique Schrödinger semimetal state in ternary Be2P3N honeycomb lattice
Ternary Be2P3N honeycomb lattice exhibits a novel semimetal state with parabolic band dispersion touching at the Fermi level.
Disordered Icosahedral Boron-Rich Solids : A Theoretical Study of Thermodynamic Stability and Properties
This thesis is a theoretical study of configurational disorder in icosahedral boron-rich solids, in particular boron carbide, including also the development of a methodological framework for treati
Structural configuration and tetragonal phase stability in the equiatomic quaternary Heusler compound TiZnMnSi
Heusler materials have aroused great scientific research interest during recent years due to their special electronic and magnetic properties. Especially for the equiatomic quaternary Heusler


Dynamical Theory of Crystal Lattices
Although Born and Huang's classic work on the dynamics of crystal lattices was published over thirty years ago, the book remains the definitive treatment of the subject. It begins with a brief
Physical properties of crystals
International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science. Each of the eight volumes in the series contains articles and tables
It is still unknown whether there are families of tight knots whose lengths grow faster than linearly with crossing numbers, but the largest power has been reduced to 3/z, and some other physical models of knots as flattened ropes or strips which exhibit similar length versus complexity power laws are surveyed.
Theory of Elastic Waves in Crystals
theory of elastic waves in crystals mvsz theory of elastic waves in real crystals. ii. springer theory of elastic waves in crystals odcp theory of elastic waves in crystals erpd theory of elastic
2 ,
Since 2001, we have observed the central region of our Galaxy with the near-infrared (J, H, and Ks) camera SIRIUS and the 1.4 m telescope IRSF. Here I present the results about the infrared
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)
  • Rev. B 76, 054115
  • 2007
  • Lett. A 378, 2303
  • 2014
  • Mod. Phys. 84, 945
  • 2012
  • J. Hydrogen Energy 36, 10149
  • 2011