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 TiB (Materials Project id mp-10143)

        75      115      115        0        0        0  
       115       75      115        0        0        0  
       115      115       75        0        0        0  
         0        0        0        1        0        0  
         0        0        0        0        1        0  
         0        0        0        0        0        1  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 101.67 GPaEV = -22.752 GPaGV = -7.4 GPaνV = 0.5373
ReussKR = 101.67 GPaER = 5.1433 GPaGR = 1.7241 GPaνR = 0.49157
HillKH = 101.67 GPaEH = -8.5938 GPaGH = -2.8379 GPaνH = 0.51409

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-40 GPa -40 GPa 1 GPa 1 GPa 1 GPa 305 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.