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 Cd(InSe2)2 (Materials Project id mp-22304)

        32       17       19        0        0        0  
        17       32       19        0        0       -0  
        19       19       36        0        0        0  
         0        0        0       20        0        0  
         0        0        0        0       20        0  
         0       -0        0        0        0       20  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 23.333 GPaEV = 37.059 GPaGV = 15 GPaνV = 0.23529
ReussKR = 23.156 GPaER = 30.633 GPaGR = 11.971 GPaνR = 0.27951
HillKH = 23.244 GPaEH = 33.9 GPaGH = 13.485 GPaνH = 0.25693

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
14.855 GPa 15 GPa 20 GPa 20 GPa 20 GPa 70.145 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 19.76 GPa 46.714 GPa 10.557 TPa–1 16.315 TPa–1 7.4571 GPa 20 GPa-0.160350.62031Value
Anisotropy 2.364 1.5455 2.682Anisotropy
Axis 0.0000
1.0000
0.0000
0.5640
0.5641
0.6031
0.0000
0.0000
1.0000
0.6088
0.7934
0.0000
0.7071
0.0001
-0.7071
-0.0000
0.0000
1.0000
-0.7071
0.7071
0.0000
0.0000
0.6766
0.7363
Axis
-0.7071
-0.0002
-0.7071
-0.5000
0.8660
-0.0000
-0.7071
-0.7071
-0.0000
-1.0000
0.0000
0.0000
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