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 Li3Nb (Materials Project id mp-976263)

         7       42       14        0        0        0  
        42        7       14        0        0        0  
        14       14       46        0        0        0  
         0        0        0       15        0        0  
         0        0        0        0       15        0  
         0        0        0        0        0       40  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 22.222 GPaEV = 33.333 GPaGV = 13.333 GPaνV = 0.25
ReussKR = 21.906 GPaER = 60.27 GPaGR = 28.936 GPaνR = 0.041449
HillKH = 22.064 GPaEH = 48.059 GPaGH = 21.134 GPaνH = 0.13698

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-35 GPa 15 GPa 15 GPa 27.644 GPa 40 GPa 67.356 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.