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 ThSbTe (Materials Project id mp-1019361)

       101       65       45        0        0        0  
        65      101       45        0        0        0  
        45       45      109        0        0        0  
         0        0        0       33        0        0  
         0        0        0        0       33        0  
         0        0        0        0        0       47  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 69 GPaEV = 85.387 GPaGV = 33 GPaνV = 0.29375
ReussKR = 68.843 GPaER = 78.482 GPaGR = 29.955 GPaνR = 0.31
HillKH = 68.922 GPaEH = 81.956 GPaGH = 31.478 GPaνH = 0.30181

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
33 GPa 33 GPa 36 GPa 47 GPa 67.77 GPa 207.23 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 56.276 GPa 108.7 GPa 4.5571 TPa–1 5.4116 TPa–1 18 GPa 47 GPa0.130870.56322Value
Anisotropy 1.932 1.1875 2.611 4.3037Anisotropy
Axis 0.0000
1.0000
0.0000
0.7071
0.7071
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
-0.7071
0.7071
-0.0000
1.0000
-0.0002
0.0000
0.7607
0.0002
0.6491
1.0000
-0.0000
0.0000
Axis
-0.7071
-0.7071
-0.0000
0.0002
1.0000
0.0000
0.6491
0.0003
-0.7607
0.0000
1.0000
-0.0000
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