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 Te (Materials Project id mp-570459)

        63        9       36        0       21        0  
         9       22       59        0      -18        0  
        36       59      116        0       -5        0  
         0        0        0       29        0       -5  
        21      -18       -5        0       42        0  
         0        0        0       -5        0       -1

Average properties

Averaging scheme	Bulk modulus	Young's modulus	Shear modulus	Poisson's ratio
Voigt	K_V = 45.444 GPa	E_V = 53.386 GPa	G_V = 20.467 GPa	ν_V = 0.30421
Reuss	K_R = -13416 GPa	E_R = -24.784 GPa	G_R = -8.2632 GPa	ν_R = 0.49969
Hill	K_H = -6685.2 GPa	E_H = 18.311 GPa	G_H = 6.1017 GPa	ν_H = 0.50046

Eigenvalues of the stiffness matrix

λ₁	λ₂	λ₃	λ₄	λ₅	λ₆
-10.294 GPa	-1.8114 GPa	22.355 GPa	29.811 GPa	72.477 GPa	158.46 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)