ELATE: Elastic tensor analysis

Welcome to ELATE, the online tool for analysis of elastic tensors, developed by Romain Gaillac and François-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 scheme	Bulk modulus	Young's modulus	Shear modulus	Poisson's ratio
Voigt	K_V = 104.11 GPa	E_V = 121.8 GPa	G_V = 46.667 GPa	ν_V = 0.30501
Reuss	K_R = 17.064 GPa	E_R = 67.332 GPa	G_R = 39.965 GPa	ν_R = -0.15763
Hill	K_H = 60.588 GPa	E_H = 104.94 GPa	G_H = 43.316 GPa	ν_H = 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.

Code version: 2020.07.26 (running on Python 3.7.2)