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 TcN (Materials Project id mp-998900)

       453      230      338        0        0        0  
       230      453      338        0        0        0  
       338      338      475        0        0        0  
         0        0        0      -19        0        0  
         0        0        0        0      -19        0  
         0        0        0        0        0      112  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 354.78 GPaEV = 133.57 GPaGV = 46.467 GPaνV = 0.43725
ReussKR = 341.41 GPaER = -248.77 GPaGR = -76.713 GPaνR = 0.62144
HillKH = 348.1 GPaEH = -46.037 GPaGH = -15.123 GPaνH = 0.52204

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-19 GPa -19 GPa 89.813 GPa 112 GPa 223 GPa 1068.2 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.