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 Th2Cu (Materials Project id mp-579718)

        83       88      -19        0        0        0  
        88       83      -19        0        0        0  
       -19      -19      153        0        0        0  
         0        0        0       28        0        0  
         0        0        0        0       28        0  
         0        0        0        0        0       -2

Average properties

Averaging scheme	Bulk modulus	Young's modulus	Shear modulus	Poisson's ratio
Voigt	K_V = 46.556 GPa	E_V = 71.492 GPa	G_V = 28.733 GPa	ν_V = 0.24406
Reuss	K_R = 46.005 GPa	E_R = -19.197 GPa	G_R = -6.1155 GPa	ν_R = 0.56955
Hill	K_H = 46.28 GPa	E_H = 31.371 GPa	G_H = 11.309 GPa	ν_H = 0.38702

Eigenvalues of the stiffness matrix

λ₁	λ₂	λ₃	λ₄	λ₅	λ₆
-5 GPa	-2 GPa	28 GPa	28 GPa	133.66 GPa	190.34 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)