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 SmGe3 (Materials Project id mp-979013)

       112       38       44        0        0        0  
        38      112       44        0        0        0  
        44       44       66        0        0        0  
         0        0        0       -2        0        0  
         0        0        0        0       -2        0  
         0        0        0        0        0       37  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 60.222 GPaEV = 47.947 GPaGV = 17.533 GPaνV = 0.36731
ReussKR = 56.868 GPaER = -17.509 GPaGR = -5.6433 GPaνR = 0.55132
HillKH = 58.545 GPaEH = 17.251 GPaGH = 5.945 GPaνH = 0.45089

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-2 GPa -2 GPa 32.927 GPa 37 GPa 74 GPa 183.07 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.