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 K3Y (Materials Project id mp-973271)

         4        8        3        0        0        0  
         8        4        3        0        0        0  
         3        3        7        0        0        0  
         0        0        0        4        0        0  
         0        0        0        0        4        0  
         0        0        0        0        0        8

Average properties

Averaging scheme	Bulk modulus	Young's modulus	Shear modulus	Poisson's ratio
Voigt	K_V = 4.7778 GPa	E_V = 7.9811 GPa	G_V = 3.2667 GPa	ν_V = 0.22159
Reuss	K_R = 4.7143 GPa	E_R = 16.432 GPa	G_R = 8.9391 GPa	ν_R = -0.080913
Hill	K_H = 4.746 GPa	E_H = 12.815 GPa	G_H = 6.1029 GPa	ν_H = 0.049958

Eigenvalues of the stiffness matrix

λ₁	λ₂	λ₃	λ₄	λ₅	λ₆
-4 GPa	4 GPa	4 GPa	4.5756 GPa	8 GPa	14.424 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)