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 ThSe2 (Materials Project id mp-7951)

       125       56       59        0        0        0  
        56      128       62        0        0        0  
        59       62       96        0        0        0  
         0        0        0       17        0        0  
         0        0        0        0       40        0  
         0        0        0        0        0       28  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 78.111 GPaEV = 76.149 GPaGV = 28.467 GPaνV = 0.33752
ReussKR = 76.943 GPaER = 69.589 GPaGR = 25.788 GPaνR = 0.34926
HillKH = 77.527 GPaEH = 72.881 GPaGH = 27.127 GPaνH = 0.34332

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
17 GPa 28 GPa 40 GPa 43.342 GPa 70.504 GPa 235.15 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 51.022 GPa 97.718 GPa 3.2773 TPa–1 6.037 TPa–1 17 GPa 40 GPa0.120380.59113Value
Anisotropy 1.915 1.8420 2.353 4.9104Anisotropy
Axis -0.0000
0.5647
0.8253
0.8319
-0.0000
0.5549
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
-0.0003
-0.0000
1.0000
-0.0000
0.0000
1.0000
0.6609
0.4352
0.6114
-0.4797
0.7138
-0.5103
Axis
0.0000
1.0000
0.0000
-1.0000
0.0000
-0.0000
-0.7468
0.3013
0.5928
-0.2320
-0.6641
-0.7108
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