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 AgSbTe2 (Materials Project id mp-12360)

        77       36       40        6        0        0  
        36       77       40       -6        0        0  
        40       40       62        0        0        0  
         6       -6        0       20        0        0  
         0        0        0        0       20        6  
         0        0        0        0        6       21  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 49.778 GPaEV = 50.251 GPaGV = 18.867 GPaνV = 0.33175
ReussKR = 49.429 GPaER = 45.836 GPaGR = 17.034 GPaνR = 0.34545
HillKH = 49.603 GPaEH = 48.054 GPaGH = 17.95 GPaνH = 0.33854

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
14.479 GPa 17 GPa 25.45 GPa 26.521 GPa 44 GPa 149.55 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 33.681 GPa 66.579 GPa 5.7803 TPa–1 8.6705 TPa–1 13.328 GPa 26.521 GPa0.137490.59046Value
Anisotropy 1.977 1.5000 1.99 4.2945Anisotropy
Axis -0.0000
-0.0000
1.0000
-0.7466
0.4366
0.5020
0.9915
0.1303
0.0000
0.0000
0.0000
1.0000
-0.5172
0.2331
-0.8235
0.0000
0.7359
0.6771
0.5115
0.8593
0.0026
0.5053
0.8629
-0.0024
Axis
0.7182
-0.4053
-0.5657
-1.0000
0.0000
-0.0000
-0.7637
0.4532
0.4598
-0.3981
0.2307
-0.8879
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