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 PtN (Materials Project id mp-13173)

       249      156      162        0        0        0  
       156      249      162        0        0        0  
       162      162      417        0        0        0  
         0        0        0     -166        0        0  
         0        0        0        0     -166        0  
         0        0        0        0        0       46  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 208.33 GPaEV = -88.598 GPaGV = -28.2 GPaνV = 0.57088
ReussKR = 196.95 GPaER = 297.63 GPaGR = 119.23 GPaνR = 0.24813
HillKH = 202.64 GPaEH = 127.04 GPaGH = 45.515 GPaνH = 0.39552

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-166 GPa -166 GPa 46 GPa 93 GPa 181.82 GPa 640.18 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.