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 ZnO (Materials Project id mp-997630)

       263      123      109        0        0        0  
       123      263      109        0        0        0  
       109      109      299        0        0        0  
         0        0        0      -16        0        0  
         0        0        0        0      -16        0  
         0        0        0        0        0       70  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 167.44 GPaEV = 110.81 GPaGV = 39.867 GPaνV = 0.38971
ReussKR = 167.25 GPaER = -198.67 GPaGR = -58.502 GPaνR = 0.69798
HillKH = 167.35 GPaEH = -28.482 GPaGH = -9.3178 GPaνH = 0.52837

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-16 GPa -16 GPa 70 GPa 140 GPa 182.33 GPa 502.67 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.