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 Li3Cd (Materials Project id mp-867343)

        13       15       15        0        0        0  
        15       13       15        0        0        0  
        15       15       13        0        0        0  
         0        0        0       20        0        0  
         0        0        0        0       20        0  
         0        0        0        0        0       20  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 14.333 GPaEV = 27.407 GPaGV = 11.6 GPaνV = 0.18132
ReussKR = 14.333 GPaER = -8.6519 GPaGR = -2.7027 GPaνR = 0.6006
HillKH = 14.333 GPaEH = 12.095 GPaGH = 4.4486 GPaνH = 0.35936

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-2 GPa -2 GPa 20 GPa 20 GPa 20 GPa 43 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.