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 RbH3O2 (Materials Project id mp-28264)

        49       22       16        0        0        0  
        22       46       32        0        0        0  
        16       32       64        0        0        0  
         0        0        0       20        0        0  
         0        0        0        0        8        0  
         0        0        0        0        0       10  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 33.222 GPaEV = 35.746 GPaGV = 13.533 GPaνV = 0.32067
ReussKR = 32.365 GPaER = 31.004 GPaGR = 11.566 GPaνR = 0.34034
HillKH = 32.793 GPaEH = 33.389 GPaGH = 12.549 GPaνH = 0.3303

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
8 GPa 10 GPa 18.735 GPa 20 GPa 38.885 GPa 101.38 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 22.969 GPa 53.256 GPa 7.0678 TPa–1 13.432 TPa–1 8 GPa 20 GPa0.0180790.68701Value
Anisotropy 2.319 1.9004 2.5 38.0000Anisotropy
Axis 0.7167
0.0000
0.6973
-0.0000
0.5798
0.8147
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
-0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
-0.0000
-0.0000
1.0000
Axis
1.0000
0.0000
-0.0000
0.0000
-1.0000
0.0000
-1.0000
0.0000
0.0000
-0.0000
1.0000
0.0000
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