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 Y2S3 (Materials Project id mp-541289)

        97       41       52        0       -1        0  
        41      110       39        0        1        0  
        52       39      122        0       -0        0  
         0        0        0       22        0       -0  
        -1        1       -0        0       30        0  
         0        0        0       -0        0       36  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 65.889 GPaEV = 79.794 GPaGV = 30.733 GPaνV = 0.29816
ReussKR = 65.302 GPaER = 76.786 GPaGR = 29.442 GPaνR = 0.30402
HillKH = 65.596 GPaEH = 78.292 GPaGH = 30.088 GPaνH = 0.30107

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
22 GPa 29.932 GPa 36 GPa 53.719 GPa 76.77 GPa 198.58 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 62.894 GPa 91.054 GPa 3.9328 TPa–1 5.8733 TPa–1 22 GPa 38.229 GPa0.151650.46151Value
Anisotropy 1.448 1.4934 1.738 3.0431Anisotropy
Axis -0.0212
0.7103
0.7036
0.0678
-0.0000
0.9977
-0.0031
0.0000
1.0000
1.0000
-0.0000
0.0031
0.0000
0.0000
1.0000
-0.0622
0.7071
0.7044
0.6818
0.5828
0.4422
-0.1024
0.0000
0.9947
Axis
0.0000
1.0000
-0.0000
0.0622
0.7071
-0.7044
-0.7298
0.5834
0.3564
0.9947
-0.0000
0.1024
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