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 HfZn3 (Materials Project id mp-866108)

       109      128       69        0        0        0  
       128      109       69        0        0        0  
        69       69      176        0        0        0  
         0        0        0       40        0        0  
         0        0        0        0       40        0  
         0        0        0        0        0       -9

Average properties

Averaging scheme	Bulk modulus	Young's modulus	Shear modulus	Poisson's ratio
Voigt	K_V = 102.89 GPa	E_V = 63.522 GPa	G_V = 22.733 GPa	ν_V = 0.3971
Reuss	K_R = 102.84 GPa	E_R = -114.51 GPa	G_R = -33.968 GPa	ν_R = 0.68558
Hill	K_H = 102.87 GPa	E_H = -17.165 GPa	G_H = -5.6174 GPa	ν_H = 0.52781

Eigenvalues of the stiffness matrix

λ₁	λ₂	λ₃	λ₄	λ₅	λ₆
-19 GPa	-9 GPa	40 GPa	40 GPa	104.26 GPa	308.74 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)