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 NiN (Materials Project id mp-1009483)

       464      129      129        0        0        0  
       129      464      129        0        0        0  
       129      129      464        0        0        0  
         0        0        0      -24        0        0  
         0        0        0        0      -24        0  
         0        0        0        0        0      -24  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 240.67 GPaEV = 147.08 GPaGV = 52.6 GPaνV = 0.39814
ReussKR = 240.67 GPaER = -141.33 GPaGR = -44.224 GPaνR = 0.59787
HillKH = 240.67 GPaEH = 12.491 GPaGH = 4.1878 GPaνH = 0.49135

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-24 GPa -24 GPa -24 GPa 335 GPa 335 GPa 722 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.