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 Sb2TeSe2 (Materials Project id mp-8612)

        68       17        5       -3        0        0  
        17       68        5        3        0        0  
         5        5        7        0        0        0  
        -3        3        0        4        0        0  
         0        0        0        0        4       -3  
         0        0        0        0       -3       26  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 21.889 GPaEV = 35.699 GPaGV = 14.533 GPaνV = 0.22818
ReussKR = 6.8987 GPaER = 13.446 GPaGR = 5.721 GPaνR = 0.17515
HillKH = 14.394 GPaEH = 24.61 GPaGH = 10.127 GPaνH = 0.21504

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
3.5982 GPa 3.6201 GPa 6.3642 GPa 26.402 GPa 51.38 GPa 85.636 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 6.4118 GPa 62.977 GPa 3.6697 TPa–1 137.61 TPa–1 3.5914 GPa 26.402 GPa-0.02570.88344Value
Anisotropy 9.822 37.5000 7.351Anisotropy
Axis 0.0000
0.0000
1.0000
0.8551
0.5137
-0.0702
0.9642
0.2651
0.0000
0.0000
0.0000
1.0000
0.1149
-0.0705
0.9909
-0.0000
0.9912
-0.1327
0.7533
0.4388
-0.4900
-1.0000
-0.0000
0.0000
Axis
0.4826
0.8758
0.0063
-1.0000
-0.0000
-0.0000
-0.5037
0.8639
-0.0008
0.0000
-0.5968
0.8024
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