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 Ti3Ga (Materials Project id mp-672250)

       200       77       36        0        0        0  
        77      200       36        0        0        0  
        36       36      143        0        0        0  
         0        0        0      -35        0        0  
         0        0        0        0      -35        0  
         0        0        0        0        0       62  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 93.444 GPaEV = 68.015 GPaGV = 24.667 GPaνV = 0.37869
ReussKR = 88.351 GPaER = 1620.6 GPaGR = -520.38 GPaνR = -2.5571
HillKH = 90.898 GPaEH = -8164.9 GPaGH = -247.86 GPaνH = 15.471

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-35 GPa -35 GPa 62 GPa 123 GPa 125.85 GPa 294.15 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.