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 ReN (Materials Project id mp-1002209)

       132      355      355        0        0        0  
       355      132      355        0        0        0  
       355      355      132        0        0        0  
         0        0        0     -680        0        0  
         0        0        0        0     -680        0  
         0        0        0        0        0     -680  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 280.67 GPaEV = -2936 GPaGV = -452.6 GPaνV = 2.2435
ReussKR = 280.67 GPaER = -914.04 GPaGR = -223.72 GPaνR = 1.0428
HillKH = 280.67 GPaEH = -1695.4 GPaGH = -338.16 GPaνH = 1.5068

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-680 GPa -680 GPa -680 GPa -223 GPa -223 GPa 842 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.