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 Sm2TeO2 (Materials Project id mp-16033)

       161       38       36        0        0        0  
        38      161       36        0        0        0  
        36       36      113        0        0        0  
         0        0        0       20        0        0  
         0        0        0        0       20        0  
         0        0        0        0        0       56  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 72.778 GPaEV = 103.27 GPaGV = 40.867 GPaνV = 0.2635
ReussKR = 70.801 GPaER = 83.516 GPaGR = 32.038 GPaνR = 0.3034
HillKH = 71.789 GPaEH = 93.527 GPaGH = 36.452 GPaνH = 0.28287

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
20 GPa 20 GPa 56 GPa 89.359 GPa 123 GPa 222.64 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 62.56 GPa 144.82 GPa 3.8703 TPa–1 6.3835 TPa–1 20 GPa 61.5 GPa0.095430.58429Value
Anisotropy 2.315 1.6494 3.075 6.1227Anisotropy
Axis -0.4762
0.4762
-0.7392
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.7071
0.7071
-0.0000
0.7425
0.0005
-0.6698
0.7575
-0.0006
0.6528
Axis
-0.7660
0.6428
-0.0000
-0.7071
0.7071
-0.0000
-0.0007
1.0000
0.0000
0.6528
-0.0009
-0.7575
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