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 Ti3Nb (Materials Project id mp-980945)

       115      127      127        0        0        0  
       127      115      127        0        0        0  
       127      127      115        0        0        0  
         0        0        0       56        0        0  
         0        0        0        0       56        0  
         0        0        0        0        0       56  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 123 GPaEV = 86.303 GPaGV = 31.2 GPaνV = 0.38306
ReussKR = 123 GPaER = -56.346 GPaGR = -17.872 GPaνR = 0.57635
HillKH = 123 GPaEH = 19.637 GPaGH = 6.6638 GPaνH = 0.47339

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-12 GPa -12 GPa 56 GPa 56 GPa 56 GPa 369 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.