ELATE: Elastic tensor analysis

Welcome to ELATE, the online tool for analysis of elastic tensors, developed by Romain Gaillac and Fran├žois-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 LiZn2Au (Materials Project id mp-867255)

        78       85       85        0        0        0  
        85       78       85        0        0        0  
        85       85       78        0        0        0  
         0        0        0       65        0        0  
         0        0        0        0       65        0  
         0        0        0        0        0       65  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 82.667 GPaEV = 97.95 GPaGV = 37.6 GPaνV = 0.30252
ReussKR = 82.667 GPaER = -29.696 GPaGR = -9.5188 GPaνR = 0.55987
HillKH = 82.667 GPaEH = 39.865 GPaGH = 14.041 GPaνH = 0.41963

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-7 GPa -7 GPa 65 GPa 65 GPa 65 GPa 248 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.