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 OsSe2 (Materials Project id mp-2480)

       345       65       65        0        0        0  
        65      345       65        0        0        0  
        65       65      345        0        0        0  
         0        0        0       88        0        0  
         0        0        0        0       88        0  
         0        0        0        0        0       88  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 158.33 GPaEV = 265.57 GPaGV = 108.8 GPaνV = 0.22045
ReussKR = 158.33 GPaER = 254.66 GPaGR = 103.36 GPaνR = 0.23194
HillKH = 158.33 GPaEH = 260.14 GPaGH = 106.08 GPaνH = 0.22617

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
88 GPa 88 GPa 88 GPa 280 GPa 280 GPa 475 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 222.74 GPa 324.39 GPa 2.1053 TPa–1 2.1053 TPa–1 88 GPa 140 GPa0.118110.37312Value
Anisotropy 1.456 1.0000 1.591 3.1591Anisotropy
Axis 0.5774
0.5773
-0.5774
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
0.7071
-0.0000
0.7071
0.7071
-0.0002
0.7071
Axis
-0.7880
0.6157
-0.0000
-0.7071
-0.0002
-0.7071
0.0000
1.0000
0.0000
0.7071
-0.0005
-0.7071
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