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 Fe (Materials Project id mp-150)

        -4      262      262        0        0        0  
       262       -4      262        0        0        0  
       262      262       -4        0        0        0  
         0        0        0       28        0        0  
         0        0        0        0       28        0  
         0        0        0        0        0       28  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 173.33 GPaEV = -117.42 GPaGV = -36.4 GPaνV = 0.6129
ReussKR = 173.33 GPaER = 147.46 GPaGR = 54.286 GPaνR = 0.35821
HillKH = 173.33 GPaEH = 26.375 GPaGH = 8.9429 GPaνH = 0.47464

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-266 GPa -266 GPa 28 GPa 28 GPa 28 GPa 520 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.