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 Li3Cd (Materials Project id mp-867343)

        13       15       15        0        0        0  
        15       13       15        0        0        0  
        15       15       13        0        0        0  
         0        0        0       20        0        0  
         0        0        0        0       20        0  
         0        0        0        0        0       20

Average properties

Averaging scheme	Bulk modulus	Young's modulus	Shear modulus	Poisson's ratio
Voigt	K_V = 14.333 GPa	E_V = 27.407 GPa	G_V = 11.6 GPa	ν_V = 0.18132
Reuss	K_R = 14.333 GPa	E_R = -8.6519 GPa	G_R = -2.7027 GPa	ν_R = 0.6006
Hill	K_H = 14.333 GPa	E_H = 12.095 GPa	G_H = 4.4486 GPa	ν_H = 0.35936

Eigenvalues of the stiffness matrix

λ₁	λ₂	λ₃	λ₄	λ₅	λ₆
-2 GPa	-2 GPa	20 GPa	20 GPa	20 GPa	43 GPa

Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.

Code version: 2022.06.14 (running on Python 3.7.2)