ELATE: Elastic tensor analysis

Welcome to ELATE, the online tool for analysis of elastic tensors, developed by Romain Gaillac and François-Xavier Coudert at CNRS / Chimie ParisTech.
If you use the software in published results (paper, conference, etc.), please cite the corresponding paper (J. Phys. Condens. Matter, 2016, 28, 275201) and give the website URL.

ELATE is open source software. Any queries or comments are welcome at

Summary of the properties

Input: stiffness matrix (coefficients in GPa) of Co (Materials Project id mp-669382)

       215      242      131        0        0        0  
       242      215      131        0        0        0  
       131      131      354        0        0        0  
         0        0        0       56        0        0  
         0        0        0        0       56        0  
         0        0        0        0        0      -14

Average properties

Averaging scheme	Bulk modulus	Young's modulus	Shear modulus	Poisson's ratio
Voigt	K_V = 199.11 GPa	E_V = 107.89 GPa	G_V = 38.267 GPa	ν_V = 0.40969
Reuss	K_R = 198.84 GPa	E_R = -162.98 GPa	G_R = -49.793 GPa	ν_R = 0.63661
Hill	K_H = 198.98 GPa	E_H = -17.458 GPa	G_H = -5.7633 GPa	ν_H = 0.51462

Eigenvalues of the stiffness matrix

λ₁	λ₂	λ₃	λ₄	λ₅	λ₆
-27 GPa	-14 GPa	56 GPa	56 GPa	213.21 GPa	597.79 GPa

Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.

Code version: 2019.01.09 (running on Python 3.7.2)