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 SrSe (Materials Project id mp-2758)

        92       15       15        0        0        0  
        15       92       15        0        0        0  
        15       15       92        0        0        0  
         0        0        0       22        0        0  
         0        0        0        0       22        0  
         0        0        0        0        0       22  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 40.667 GPaEV = 69.506 GPaGV = 28.6 GPaνV = 0.21514
ReussKR = 40.667 GPaER = 65.418 GPaGR = 26.552 GPaνR = 0.23189
HillKH = 40.667 GPaEH = 67.476 GPaGH = 27.576 GPaνH = 0.22346

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
22 GPa 22 GPa 22 GPa 77 GPa 77 GPa 122 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 55.917 GPa 87.794 GPa 8.1967 TPa–1 8.1967 TPa–1 22 GPa 38.5 GPa0.09820.39771Value
Anisotropy 1.57 1.0000 1.75 4.0500Anisotropy
Axis 0.5774
0.5774
0.5773
1.0000
0.0000
0.0000
0.7934
0.0000
0.6088
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
0.7071
0.0004
-0.7071
0.7071
-0.0002
0.7071
Axis
-0.7880
0.6157
-0.0000
-0.7071
-0.0002
-0.7071
-0.0003
1.0000
0.0003
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