ELATE: Elastic tensor analysis

Welcome to ELATE, the online tool for analysis of elastic tensors, developed by Romain Gaillac and Fran├žois-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 schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 199.11 GPaEV = 107.89 GPaGV = 38.267 GPaνV = 0.40969
ReussKR = 198.84 GPaER = -162.98 GPaGR = -49.793 GPaνR = 0.63661
HillKH = 198.98 GPaEH = -17.458 GPaGH = -5.7633 GPaνH = 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.