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 TiNbS4 (Materials Project id mp-34289)

         4        0        2        0       -1        0  
         0      135       27        0       -1        0  
         2       27      134        0        0        0  
         0        0        0       52        0        0  
        -1       -1        0        0        0        0  
         0        0        0        0        0        2  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 36.778 GPaEV = 65.204 GPaGV = 27.067 GPaνV = 0.20451
ReussKR = 129.5 GPaER = -4.6074 GPaGR = -1.5298 GPaνR = 0.50593
HillKH = 83.141 GPaEH = 36.44 GPaGH = 12.768 GPaνH = 0.42695

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
-0.2464 GPa 2 GPa 4.2066 GPa 52 GPa 107.52 GPa 161.52 GPa
Stiffness matrix is not definite positive, crystal is mechanically unstable
No further analysis will be performed.