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 Al2Te5 (Materials Project id mp-9254)

         6        3        4        0        3        0  
         3       52        5        0        3        0  
         4        5        5        0        2        0  
         0        0        0        8        0        6  
         3        3        2        0        4        0  
         0        0        0        6        0        7  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 9.6667 GPaEV = 17.304 GPaGV = 7.2 GPaνV = 0.20166
ReussKR = 3.1516 GPaER = 4.4359 GPaGR = 1.7528 GPaνR = 0.26541
HillKH = 6.4091 GPaEH = 10.893 GPaGH = 4.4764 GPaνH = 0.21673

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
1.1976 GPa 1.4792 GPa 2.4358 GPa 10.353 GPa 13.521 GPa 53.014 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 1.9901 GPa 45.781 GPa 8.1199 TPa–1 259.4 TPa–1 0.63174 GPa 13.521 GPa-0.564871.331Value
Anisotropy 23 31.9460 21.4Anisotropy
Axis 0.9856
0.0000
-0.1691
-0.0730
0.9933
-0.0895
0.0000
1.0000
0.0000
-0.7783
-0.0000
0.6279
0.6370
-0.0000
-0.7709
0.6771
0.0000
0.7359
0.3593
0.7747
0.5203
0.0000
1.0000
-0.0000
Axis
-0.7709
0.0000
-0.6370
0.0000
1.0000
-0.0000
-0.0676
0.5777
-0.8135
0.1492
0.0000
0.9888
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