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 ZnBi3 (Materials Project id mp-971718)

        46       55       48        0        0        0  
        55       46       48        0        0        0  
        48       48       55        0        0        0  
         0        0        0       11        0        0  
         0        0        0        0       11        0  
         0        0        0        0        0       20  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 49.889 GPaEV = 23.142 GPaGV = 8.1333 GPaνV = 0.42269
ReussKR = 49.842 GPaER = 41.769 GPaGR = 15.352 GPaνR = 0.36033
HillKH = 49.865 GPaEH = 32.665 GPaGH = 11.743 GPaνH = 0.39082

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-9 GPa 6.3271 GPa 11 GPa 11 GPa 20 GPa 149.67 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.