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 RbO2 (Materials Project id mp-12105)

        31       22        6        0        0        0  
        22       31        6        0        0        0  
         6        6       56        0        0        0  
         0        0        0        4        0        0  
         0        0        0        0        4        0  
         0        0        0        0        0       16  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 20.667 GPaEV = 26.718 GPaGV = 10.4 GPaνV = 0.28453
ReussKR = 20.539 GPaER = 16.507 GPaGR = 6.042 GPaνR = 0.36605
HillKH = 20.603 GPaEH = 21.768 GPaGH = 8.221 GPaνH = 0.32391

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
4 GPa 4 GPa 9 GPa 16 GPa 45.883 GPa 63.117 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 11.664 GPa 54.642 GPa 14.157 TPa–1 17.265 TPa–1 4 GPa 20.948 GPa0.0513370.72905Value
Anisotropy 4.685 1.2195 5.237 14.2013Anisotropy
Axis 0.8028
0.0000
-0.5962
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.5000
0.5000
-0.7071
0.4063
0.4063
0.8184
0.4761
0.4762
0.7393
Axis
1.0000
0.0000
-0.0000
-0.5000
-0.5000
-0.7071
-0.7071
0.7071
0.0000
0.5230
0.5226
-0.6734
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