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 TiH2 (Materials Project id mp-24161)

        97      162      162        0        0        0  
       162       97      162        0        0        0  
       162      162       97        0        0        0  
         0        0        0       -6        0        0  
         0        0        0        0       -6        0  
         0        0        0        0        0       -6  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 140.33 GPaEV = -51.844 GPaGV = -16.6 GPaνV = 0.56157
ReussKR = 140.33 GPaER = -27.289 GPaGR = -8.9041 GPaνR = 0.53241
HillKH = 140.33 GPaEH = -39.451 GPaGH = -12.752 GPaνH = 0.54685

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-65 GPa -65 GPa -6 GPa -6 GPa -6 GPa 421 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.