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 AgN (Materials Project id mp-1009766)

       142      144      144        0        0        0  
       144      142      144        0        0        0  
       144      144      142        0        0        0  
         0        0        0       13        0        0  
         0        0        0        0       13        0  
         0        0        0        0        0       13  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 143.33 GPaEV = 21.824 GPaGV = 7.4 GPaνV = 0.47462
ReussKR = 143.33 GPaER = -8.5344 GPaGR = -2.8261 GPaνR = 0.50992
HillKH = 143.33 GPaEH = 6.8246 GPaGH = 2.287 GPaνH = 0.49206

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-2 GPa -2 GPa 13 GPa 13 GPa 13 GPa 430 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.