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 TaSe2 (Materials Project id mp-501)

       132       35        0        0        0        0  
        35      132        0        0        0        0  
         0        0        9        0        0        0  
         0        0        0        3        0        0  
         0        0        0        0        3        0  
         0        0        0        0        0       48  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 38.111 GPaEV = 64.87 GPaGV = 26.667 GPaνV = 0.21631
ReussKR = 8.1243 GPaER = 14.079 GPaGR = 5.8122 GPaνR = 0.21117
HillKH = 23.118 GPaEH = 39.475 GPaGH = 16.239 GPaνH = 0.21541

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
3 GPa 3 GPa 9 GPa 48 GPa 97 GPa 167 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 7.9661 GPa 122.72 GPa 5.988 TPa–1 111.11 TPa–1 3 GPa 48.5 GPa00.54401Value
Anisotropy 15.41 18.5556 16.17Anisotropy
Axis 0.3603
0.3603
0.8605
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
-0.7071
0.7071
-0.0000
0.0000
0.0000
1.0000
0.8871
0.0000
0.4617
Axis
0.1735
0.9848
-0.0000
-0.7071
-0.7071
-0.0000
1.0000
0.0000
-0.0000
0.4617
-0.0001
-0.8871
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