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 MgGeO3 (Materials Project id mp-3047)

       330       68       43        0        0        0  
        68      307       23        0        0        0  
        43       23      433        0        0        0  
         0        0        0       -7        0        0  
         0        0        0        0       27        0  
         0        0        0        0        0       35  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 148.67 GPaEV = 189.08 GPaGV = 73.4 GPaνV = 0.28802
ReussKR = 147.03 GPaER = -285.69 GPaGR = -78.32 GPaνR = 0.82385
HillKH = 147.85 GPaEH = -7.4213 GPaGH = -2.4601 GPaνH = 0.50837

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-7 GPa 27 GPa 35 GPa 248.92 GPa 357.66 GPa 463.43 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.