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 LaCoO3 (Materials Project id mp-19051)

       150      114      203      -48        0        0  
       114      150      203       48        0        0  
       203      203      249        0        0        0  
       -48       48        0       34        0        0  
         0        0        0        0       34      -48  
         0        0        0        0      -48       18  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 176.56 GPaEV = 55.399 GPaGV = 19.133 GPaνV = 0.4477
ReussKR = 333.64 GPaER = -125.03 GPaGR = -40.01 GPaνR = 0.56246
HillKH = 255.1 GPaEH = -31.749 GPaGH = -10.439 GPaνH = 0.52074

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-32.89 GPa-30.683 GPa-22.662 GPa 74.662 GPa 102.89 GPa 543.68 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.