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 V2CoO6 (Materials Project id mp-19311)

        59       15       41        0      -15        0  
        15      119       63        0       35        0  
        41       63      115        0      -20        0  
         0        0        0       50        0        3  
       -15       35      -20        0       25        0  
         0        0        0        3        0       22  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 59 GPaEV = 79.139 GPaGV = 31 GPaνV = 0.27644
ReussKR = 45.963 GPaER = -45.708 GPaGR = -13.72 GPaνR = 0.66574
HillKH = 52.482 GPaEH = 24.572 GPaGH = 8.64 GPaνH = 0.42197

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-2.603 GPa 21.682 GPa 34.358 GPa 50.318 GPa 94.201 GPa 192.04 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.