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 Th2Cu (Materials Project id mp-579718)

        83       88      -19        0        0        0  
        88       83      -19        0        0        0  
       -19      -19      153        0        0        0  
         0        0        0       28        0        0  
         0        0        0        0       28        0  
         0        0        0        0        0       -2  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 46.556 GPaEV = 71.492 GPaGV = 28.733 GPaνV = 0.24406
ReussKR = 46.005 GPaER = -19.197 GPaGR = -6.1155 GPaνR = 0.56955
HillKH = 46.28 GPaEH = 31.371 GPaGH = 11.309 GPaνH = 0.38702

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-5 GPa -2 GPa 28 GPa 28 GPa 133.66 GPa 190.34 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.