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 Mo (Materials Project id mp-8637)

       105      312      312        0        0        0  
       312      105      312        0        0        0  
       312      312      105        0        0        0  
         0        0        0       -7        0        0  
         0        0        0        0       -7        0  
         0        0        0        0        0       -7  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 243 GPaEV = -145.93 GPaGV = -45.6 GPaνV = 0.60009
ReussKR = 243 GPaER = -34.011 GPaGR = -11.163 GPaνR = 0.52333
HillKH = 243 GPaEH = -88.594 GPaGH = -28.382 GPaνH = 0.56076

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-207 GPa -207 GPa -7 GPa -7 GPa -7 GPa 729 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.