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 SmTe (Materials Project id mp-342)

       147       13       13        0        0        0  
        13      147       13        0        0        0  
        13       13      147        0        0        0  
         0        0        0        6        0        0  
         0        0        0        0        6        0  
         0        0        0        0        0        6  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 57.667 GPaEV = 77.569 GPaGV = 30.4 GPaνV = 0.27581
ReussKR = 57.667 GPaER = 26.846 GPaGR = 9.4366 GPaνR = 0.42241
HillKH = 57.667 GPaEH = 53.585 GPaGH = 19.918 GPaνH = 0.34513

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
6 GPa 6 GPa 6 GPa 134 GPa 134 GPa 173 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 17.397 GPa 144.89 GPa 5.7803 TPa–1 5.7803 TPa–1 6 GPa 67 GPa0.0125070.85857Value
Anisotropy 8.328 1.0000 11.17 68.6474Anisotropy
Axis 0.5774
0.5773
-0.5774
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.4330
0.7500
0.5000
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
-0.7072
-0.0000
0.7070
0.7071
-0.0000
-0.7071
Axis
0.1735
0.9848
-0.0000
-0.7071
-0.0002
-0.7071
0.0000
-1.0000
-0.0000
-0.7071
0.0002
-0.7071
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