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 SmSn3 (Materials Project id mp-2484)

        58       57       57        0        0        0  
        57       58       57        0        0        0  
        57       57       58        0        0        0  
         0        0        0       29        0        0  
         0        0        0        0       29        0  
         0        0        0        0        0       29  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 57.333 GPaEV = 47.899 GPaGV = 17.6 GPaνV = 0.36076
ReussKR = 57.333 GPaER = 3.6297 GPaGR = 1.2185 GPaνR = 0.48945
HillKH = 57.333 GPaEH = 26.764 GPaGH = 9.4092 GPaνH = 0.4222

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
1 GPa 1 GPa 29 GPa 29 GPa 29 GPa 172 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 1.4957 GPa 74.448 GPa 5.814 TPa–1 5.814 TPa–1 0.5 GPa 29 GPa-1.612.4242Value
Anisotropy 49.78 1.0000 58Anisotropy
Axis 0.0000
0.0000
1.0000
-0.5774
0.5774
-0.5773
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
0.0000
0.0000
1.0000
-0.6206
0.6206
-0.4794
0.6260
0.6260
-0.4651
Axis
-0.7071
-0.0002
-0.7071
-0.1736
0.9848
-0.0000
-0.7071
-0.7071
0.0000
0.3289
0.3289
0.8853
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