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 TlInSe2 (Materials Project id mp-22232)

        69       11       11        0        0        0  
        11       35       14        0        0        0  
        11       14       35        0        0        0  
         0        0        0        9        0        0  
         0        0        0        0        8        0  
         0        0        0        0        0        8  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 23.444 GPaEV = 30.461 GPaGV = 11.867 GPaνV = 0.28345
ReussKR = 21.951 GPaER = 25.993 GPaGR = 9.9768 GPaνR = 0.30265
HillKH = 22.698 GPaEH = 28.236 GPaGH = 10.922 GPaνH = 0.29266

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
8 GPa 8 GPa 9 GPa 21 GPa 40.507 GPa 77.493 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 22.124 GPa 64.061 GPa 8.6015 TPa–1 18.477 TPa–1 8 GPa 17.416 GPa0.10070.5008Value
Anisotropy 2.896 2.1481 2.177 4.9733Anisotropy
Axis 0.5639
0.5840
0.5840
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
0.9659
0.2588
0.0000
0.0000
1.0000
0.7071
-0.0000
-0.7071
0.0000
0.0000
1.0000
0.8015
0.0001
0.5980
Axis
1.0000
0.0000
-0.0000
-0.7071
0.0002
-0.7071
-1.0000
0.0000
0.0000
0.5980
0.0003
-0.8015
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