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 GaTe (Materials Project id mp-10009)

        76       24       21        0        0        0  
        24       76       21        0        0        0  
        21       21       66        0        0        0  
         0        0        0       18        0        0  
         0        0        0        0       18        0  
         0        0        0        0        0       26  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 38.889 GPaEV = 56.657 GPaGV = 22.533 GPaνV = 0.25718
ReussKR = 38.635 GPaER = 55.151 GPaGR = 21.849 GPaνR = 0.26209
HillKH = 38.762 GPaEH = 55.905 GPaGH = 22.191 GPaνH = 0.25962

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
18 GPa 18 GPa 26 GPa 48.78 GPa 52 GPa 117.22 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 49.156 GPa 64.991 GPa 7.8699 TPa–1 10.143 TPa–1 18 GPa 26 GPa0.184040.37107Value
Anisotropy 1.322 1.2889 1.444 2.0163Anisotropy
Axis 0.6508
0.0892
-0.7540
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
-0.4028
0.9153
0.0000
0.5124
0.3722
0.7739
0.6880
0.2591
-0.6779
Axis
1.0000
0.0000
-0.0000
-0.9153
-0.4028
-0.0000
-0.5876
0.8091
-0.0000
0.6344
0.2390
0.7351
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