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 ZrCl3 (Materials Project id mp-569391)

         8       51       -0        0        4        0  
        51        8       -0        0       -4        0  
        -0       -0        3        0        0        0  
         0        0        0       -0        0       -4  
         4       -4        0        0       -0        0  
         0        0        0       -4        0      -21  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 13.444 GPaEV = -22.539 GPaGV = -6.3333 GPaνV = 0.77941
ReussKR = 2.7231 GPaER = 4.0279 GPaGR = 1.6067 GPaνR = 0.25347
HillKH = 8.0838 GPaEH = -7.8555 GPaGH = -2.3633 GPaνH = 0.66196

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-43.732 GPa-21.736 GPa0.73173 GPa 0.7361 GPa 3 GPa 59 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.