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 Hf2N (Materials Project id mp-864647)

       399      107      107        0        0        0  
       107       58      405        0        0        0  
       107      405       58        0        0        0  
         0        0        0      125        0        0  
         0        0        0        0      138        0  
         0        0        0        0        0      138  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 194.78 GPaEV = 195.31 GPaGV = 73.267 GPaνV = 0.33288
ReussKR = 194.28 GPaER = 461.13 GPaGR = 208.77 GPaνR = 0.10442
HillKH = 194.53 GPaEH = 340.72 GPaGH = 141.02 GPaνH = 0.20808

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-347 GPa 125 GPa 138 GPa 138 GPa 276.33 GPa 585.67 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.