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 Rb2NbCl6 (Materials Project id mp-570558)

        14        7        9        0        0        0  
         7       13        7        0        0        0  
         9        7       14        0        0        0  
         0        0        0        5        0        0  
         0        0        0        0        5        0  
         0        0        0        0        0        5  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 9.6667 GPaEV = 11.006 GPaGV = 4.2 GPaνV = 0.31024
ReussKR = 9.5714 GPaER = 10.255 GPaGR = 3.8803 GPaνR = 0.32143
HillKH = 9.619 GPaEH = 10.632 GPaGH = 4.0402 GPaνH = 0.31578

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
5 GPa 5 GPa 5 GPa 5 GPa 6.9095 GPa 29.091 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 7.5564 GPa 12.837 GPa 29.851 TPa–1 44.776 TPa–1 2.5 GPa 5 GPa0.0606570.56438Value
Anisotropy 1.699 1.5000 2 9.3044Anisotropy
Axis 1.0000
0.0000
0.0000
0.6089
0.5084
0.6089
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
0.7071
0.0001
-0.7071
-0.0000
0.0000
1.0000
0.0000
0.7035
0.7107
-0.0000
0.5718
0.8204
Axis
-0.7071
-0.0002
-0.7071
-0.5000
0.8660
-0.0000
-0.0000
-0.7107
0.7035
-1.0000
-0.0000
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