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 CsTbS2 (Materials Project id mp-9085)

        80       24       24        8        0        0  
        24       80       24       -8        0        0  
        24       24       81        0        0        0  
         8       -8        0       24        0        0  
         0        0        0        0       24        8  
         0        0        0        0        8       28  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 42.778 GPaEV = 65.825 GPaGV = 26.467 GPaνV = 0.24354
ReussKR = 42.776 GPaER = 61.147 GPaGR = 24.231 GPaνR = 0.26176
HillKH = 42.777 GPaEH = 63.503 GPaGH = 25.349 GPaνH = 0.25258

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
17.754 GPa 20.404 GPa 34.246 GPa 56.664 GPa 59.596 GPa 128.34 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 46.811 GPa 79.94 GPa 7.7008 TPa–1 7.8383 TPa–1 17.754 GPa 34.246 GPa0.0327710.46165Value
Anisotropy 1.708 1.0179 1.929 14.0874Anisotropy
Axis -0.7174
0.4142
-0.5601
-0.7941
0.4584
0.3991
0.0000
0.0000
1.0000
0.8660
0.5000
0.0000
0.5330
0.3077
0.7882
1.0000
-0.0000
0.0000
-0.5571
0.3217
0.7656
-0.5000
0.8660
0.0000
Axis
-0.5000
0.8660
-0.0000
-0.0000
0.7882
0.6154
-0.5000
-0.8660
-0.0000
-0.6567
-0.3791
0.6519
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