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 InSe (Materials Project id mp-20485)

        55       16        1        0        0        0  
        16       55        1        0        0        0  
         1        1        4        0        0        0  
         0        0        0        1        0        0  
         0        0        0        0        1        0  
         0        0        0        0        0       20  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 16.667 GPaEV = 26.645 GPaGV = 10.8 GPaνV = 0.23355
ReussKR = 3.76 GPaER = 5.1739 GPaGR = 2.0359 GPaνR = 0.27066
HillKH = 10.213 GPaEH = 15.919 GPaGH = 6.418 GPaνH = 0.24022

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
1 GPa 1 GPa 3.9702 GPa 20 GPa 39 GPa 71.03 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 2.987 GPa 51.041 GPa 10.638 TPa–1 244.68 TPa–1 1 GPa 20 GPa0.0140850.65576Value
Anisotropy 17.09 23.0000 20 46.5586Anisotropy
Axis 0.5825
0.0000
0.8129
0.7071
0.7071
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0007
0.0000
0.0000
0.0000
1.0000
-0.6350
0.6350
0.4399
Axis
1.0000
0.0000
-0.0000
-0.0007
1.0000
0.0000
-0.7660
0.6428
0.0000
0.3110
-0.3111
0.8980
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