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 CdCO3 (Materials Project id mp-654812)

        79      164       52        8        0        0  
       164       79       52       -8        0        0  
        52       52      235        0        0        0  
         8       -8        0       21        0        0  
         0        0        0        0       21        8  
         0        0        0        0        8      -43  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 103.22 GPaEV = 23.776 GPaGV = 8.1333 GPaνV = 0.46161
ReussKR = 102.37 GPaER = 204.11 GPaGR = 87.399 GPaνR = 0.16769
HillKH = 102.8 GPaEH = 124.08 GPaGH = 47.766 GPaνH = 0.29882

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-86.194 GPa-43.985 GPa 21.985 GPa 22.194 GPa 165.35 GPa 312.65 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.