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 ThMg2 (Materials Project id mp-745)

        60       34       34        0        0        0  
        34       60       34        0        0        0  
        34       34       60        0        0        0  
         0        0        0       -5        0        0  
         0        0        0        0       -5        0  
         0        0        0        0        0       -5  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 42.667 GPaEV = 6.4885 GPaGV = 2.2 GPaνV = 0.47465
ReussKR = 42.667 GPaER = -36.847 GPaGR = -11.207 GPaνR = 0.64393
HillKH = 42.667 GPaEH = -14.003 GPaGH = -4.5034 GPaνH = 0.5547

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-5 GPa -5 GPa -5 GPa 26 GPa 26 GPa 128 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.