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 CoCu2GeS4 (Materials Project id mp-6498)

        98       60       54        0        0        0  
        60       98       54        0        0        0  
        54       54       97       -0        0        0  
         0        0       -0       42        0        0  
         0        0        0        0       42        0  
         0        0        0        0        0       46  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 69.889 GPaEV = 88.507 GPaGV = 34.333 GPaνV = 0.28893
ReussKR = 69.809 GPaER = 78.934 GPaGR = 30.092 GPaνR = 0.31155
HillKH = 69.849 GPaEH = 83.762 GPaGH = 32.213 GPaνH = 0.30014

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
38 GPa 42 GPa 42 GPa 45.267 GPa 46 GPa 209.73 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 54.745 GPa 107.82 GPa 4.5292 TPa–1 5.2665 TPa–1 19 GPa 46 GPa0.00584380.58355Value
Anisotropy 1.97 1.1628 2.421 99.8580Anisotropy
Axis 1.0000
0.0000
0.0000
0.5945
0.5944
0.5415
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
-0.7071
0.7071
-0.0000
1.0000
-0.0000
0.0000
0.7073
-0.0002
0.7069
0.7442
-0.0003
-0.6679
Axis
-0.7071
-0.7071
0.0000
0.0000
1.0000
0.0000
0.7069
-0.0005
-0.7073
0.0002
1.0000
-0.0002
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