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 Sc2S3 (Materials Project id mp-401)

       113       22       31        0        0        0  
        22      117       37        0        0        0  
        31       37       93        0        0        0  
         0        0        0       42        0        0  
         0        0        0        0       36        0  
         0        0        0        0        0       33  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 55.889 GPaEV = 92.404 GPaGV = 37.733 GPaνV = 0.22444
ReussKR = 55.705 GPaER = 90.609 GPaGR = 36.866 GPaνR = 0.2289
HillKH = 55.797 GPaEH = 91.508 GPaGH = 37.3 GPaνH = 0.22666

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
33 GPa 36 GPa 42 GPa 61.922 GPa 92.99 GPa 168.09 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 75.989 GPa 105.49 GPa 5.3209 TPa–1 6.6383 TPa–1 31.47 GPa 46.403 GPa0.0945120.36646Value
Anisotropy 1.388 1.2476 1.475 3.8774Anisotropy
Axis 0.0000
0.0000
1.0000
-0.0000
0.8692
-0.4944
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
-0.4566
0.5399
0.7071
0.7071
0.7071
-0.0000
-1.0000
-0.0000
-0.0000
-0.0000
1.0000
-0.0000
Axis
-0.4565
0.5400
-0.7071
-0.7071
0.7071
-0.0000
0.0000
-1.0000
0.0000
-0.0000
0.0000
1.0000
Second axis

Spatial dependence of Young's modulus



Young's modulus in (xy) plane

Young's modulus in (xz) plane

Young's modulus in (yz) plane

Spatial dependence of linear compressibility



linear compressibility in (xy) plane

linear compressibility in (xz) plane

linear compressibility in (yz) plane

Spatial dependence of shear modulus



Shear modulus in (xy) plane

Shear modulus in (xz) plane

Shear modulus in (yz) plane

Spatial dependence of Poisson's ratio



Poisson's ratio in (xy) plane

Poisson's ratio in (xz) plane

Poisson's ratio in (yz) plane