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-1017539)

       236      158        0        0        0        0  
       158      236        0        0        0        0  
         0        0        4        0        0        0  
         0        0        0       -2        0        0  
         0        0        0        0       -2        0  
         0        0        0        0        0       39  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 88 GPaEV = 76.435 GPaGV = 28.2 GPaνV = 0.35524
ReussKR = 3.9204 GPaER = -79.548 GPaGR = -8.1474 GPaνR = 3.8818
HillKH = 45.96 GPaEH = 28.04 GPaGH = 10.026 GPaνH = 0.39832

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-2 GPa -2 GPa 4 GPa 39 GPa 78 GPa 394 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.