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 Te2W (Materials Project id mp-22693)

       143        1       37        0        0        0  
         1        3        3        0        0        0  
        37        3      102        0        0        0  
         0        0        0        2        0        0  
         0        0        0        0       46        0  
         0        0        0        0        0        1  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 36.667 GPaEV = 58.293 GPaGV = 23.6 GPaνV = 0.23503
ReussKR = 2.9694 GPaER = 5.8071 GPaGR = 2.4731 GPaνR = 0.17407
HillKH = 19.818 GPaEH = 32.076 GPaGH = 13.037 GPaνH = 0.23024

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
1 GPa 2 GPa 2.9091 GPa 46 GPa 80.256 GPa 164.83 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 2.6226 GPa 129.58 GPa -1.8709 TPa–1 333.49 TPa–1 1 GPa 46 GPa-0.479041.1721Value
Anisotropy 49.41 46Anisotropy
Axis 0.4914
0.8709
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
1.0000
-0.0002
-0.0000
0.0000
0.0000
-1.0000
0.6861
0.1228
0.7171
-0.6254
0.1013
0.7737
Axis
0.0002
1.0000
0.0000
-1.0000
0.0000
-0.0000
0.5252
0.5984
-0.6050
-0.5168
-0.7967
-0.3134
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