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 LuTe2 (Materials Project id mp-973750)

        90       64       30        0        0        0  
        64       90       30        0        0        0  
        30       30      118        0        0        0  
         0        0        0       24        0        0  
         0        0        0        0       24        0  
         0        0        0        0        0       12  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 60.667 GPaEV = 62.673 GPaGV = 23.6 GPaνV = 0.32782
ReussKR = 60.637 GPaER = 51.141 GPaGR = 18.81 GPaνR = 0.35944
HillKH = 60.652 GPaEH = 56.975 GPaGH = 21.205 GPaνH = 0.34344

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
12 GPa 24 GPa 24 GPa 26 GPa 89.913 GPa 182.09 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 40.921 GPa 106.31 GPa 5.375 TPa–1 5.7415 TPa–1 12 GPa 27.851 GPa0.0749840.70506Value
Anisotropy 2.598 1.0682 2.321 9.4028Anisotropy
Axis 0.7071
0.7071
0.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
1.0000
-0.0002
-0.0000
0.7071
0.0001
-0.7071
-0.7071
0.7071
0.0000
-0.7071
0.7071
-0.0000
Axis
0.0002
1.0000
-0.0000
-0.7071
-0.0002
-0.7071
0.0000
0.0000
1.0000
-0.7071
-0.7071
-0.0000
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