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 SnHgO3 (Materials Project id mp-1016837)

       275      163      163        0        0        0  
       163      275      163        0        0        0  
       163      163      275        0        0        0  
         0        0        0       49        0        0  
         0        0        0        0       49        0  
         0        0        0        0        0       49  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 200.33 GPaEV = 143.07 GPaGV = 51.8 GPaνV = 0.38097
ReussKR = 200.33 GPaER = 142.51 GPaGR = 51.579 GPaνR = 0.38144
HillKH = 200.33 GPaEH = 142.79 GPaGH = 51.689 GPaνH = 0.38121

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
49 GPa 49 GPa 49 GPa 112 GPa 112 GPa 601 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 135.92 GPa 153.68 GPa 1.6639 TPa–1 1.6639 TPa–1 49 GPa 56 GPa0.338930.42819Value
Anisotropy 1.131 1.0000 1.143 1.2634Anisotropy
Axis -0.5774
0.5774
0.5773
0.0000
0.0000
1.0000
0.2500
0.9330
0.2588
0.9926
-0.0000
0.1216
-0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
0.7071
-0.0005
0.7071
0.7071
-0.0002
0.7071
Axis
-0.7660
-0.6428
-0.0000
0.7071
-0.0005
-0.7071
0.0003
1.0000
0.0004
0.7071
-0.0005
-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