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 Rb(FeAs)2 (Materials Project id mp-975359)

        91       50       35        0        0        0  
        50       91       35        0        0        0  
        35       35       50        0        0        0  
         0        0        0       29        0        0  
         0        0        0        0       29        0  
         0        0        0        0        0       46  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 52.444 GPaEV = 71.885 GPaGV = 28.267 GPaνV = 0.27155
ReussKR = 45.545 GPaER = 61.353 GPaGR = 24.051 GPaνR = 0.27548
HillKH = 48.994 GPaEH = 66.62 GPaGH = 26.159 GPaνH = 0.27338

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
28.267 GPa 29 GPa 29 GPa 41 GPa 46 GPa 162.73 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 32.624 GPa 92.586 GPa 3.2609 TPa–1 15.435 TPa–1 15.748 GPa 46 GPa0.0209550.7Value
Anisotropy 2.838 4.7333 2.921 33.4049Anisotropy
Axis 0.0000
0.0000
1.0000
0.6872
0.6872
0.2357
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
1.0000
-0.0002
0.0000
0.7037
-0.0002
0.7105
-0.7071
0.7071
0.0000
Axis
0.7071
-0.0005
-0.7071
0.0002
1.0000
-0.0000
0.7105
-0.0005
-0.7037
0.0000
0.0000
1.0000
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