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 In2TeO6 (Materials Project id mp-504908)

       232      103      107       -2        0        0  
       103      232      107        2        0        0  
       107      107      183        0        0        0  
        -2        2        0       64        0        0  
         0        0        0        0       64       -2  
         0        0        0        0       -2       65  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 142.33 GPaEV = 159.21 GPaGV = 60.6 GPaνV = 0.31358
ReussKR = 140.68 GPaER = 155.79 GPaGR = 59.218 GPaνR = 0.31543
HillKH = 141.51 GPaEH = 157.5 GPaGH = 59.909 GPaνH = 0.3145

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
62.438 GPa 63.877 GPa 66.562 GPa 89.666 GPa 129.12 GPa 428.33 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 114.65 GPa 172.84 GPa 1.9788 TPa–1 3.1505 TPa–1 48.618 GPa 66.562 GPa0.237820.44841Value
Anisotropy 1.508 1.5921 1.369 1.8855Anisotropy
Axis 0.0000
0.0000
1.0000
-0.7431
0.4485
-0.4967
0.5000
0.8660
0.0000
0.0000
0.0000
1.0000
0.0010
0.6895
-0.7243
0.0000
0.7882
-0.6154
0.0000
0.6327
-0.7744
0.5755
0.8178
0.0011
Axis
-0.0006
-0.7243
-0.6895
-1.0000
0.0000
0.0000
0.0000
-0.7744
-0.6327
-0.0720
0.0494
0.9962
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