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 Nb2O5 (Materials Project id mp-10426)

       185       26       97        0       75        0  
        26      150       82        0       73        0  
        97       82      192        0       84        0  
         0        0        0      106        0      204  
        75       73       84        0       72        0  
         0        0        0      204        0      -52  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 104.11 GPaEV = 121.8 GPaGV = 46.667 GPaνV = 0.30501
ReussKR = 17.064 GPaER = 67.332 GPaGR = 39.965 GPaνR = -0.15763
HillKH = 60.588 GPaEH = 104.94 GPaGH = 43.316 GPaνH = 0.21133

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-191.76 GPa 10.238 GPa 69.021 GPa 140.55 GPa 245.76 GPa 379.2 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.