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 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 schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 4.7778 GPaEV = 7.9811 GPaGV = 3.2667 GPaνV = 0.22159
ReussKR = 4.7143 GPaER = 16.432 GPaGR = 8.9391 GPaνR = -0.080913
HillKH = 4.746 GPaEH = 12.815 GPaGH = 6.1029 GPaνH = 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.