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 Sm3Pd (Materials Project id mp-978832)

      -107      226       15        0        0        0  
       226     -107       15        0        0        0  
        15       15       64        0        0        0  
         0        0        0        9        0        0  
         0        0        0        0        9        0  
         0        0        0        0        0       17

Average properties

Averaging scheme	Bulk modulus	Young's modulus	Shear modulus	Poisson's ratio
Voigt	K_V = 40.222 GPa	E_V = -72.208 GPa	G_V = -20.067 GPa	ν_V = 0.7992
Reuss	K_R = 38.321 GPa	E_R = 42.588 GPa	G_R = 16.196 GPa	ν_R = 0.31477
Hill	K_H = 39.272 GPa	E_H = -5.9029 GPa	G_H = -1.9353 GPa	ν_H = 0.52505

Eigenvalues of the stiffness matrix

λ₁	λ₂	λ₃	λ₄	λ₅	λ₆
-333 GPa	9 GPa	9 GPa	17 GPa	56.769 GPa	126.23 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)