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 IrF6 (Materials Project id mp-560553)

         7        2        2        0        0        0  
         2       11        3        0        0        0  
         2        3       10        0        0        0  
         0        0        0        2        0        0  
         0        0        0        0        3        0  
         0        0        0        0        0        2  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 4.6667 GPaEV = 7 GPaGV = 2.8 GPaνV = 0.25
ReussKR = 4.4315 GPaER = 6.5193 GPaGR = 2.5977 GPaνR = 0.25481
HillKH = 4.5491 GPaEH = 6.7598 GPaGH = 2.6988 GPaνH = 0.25234

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
2 GPa 2 GPa 3 GPa 5.9218 GPa 7.4888 GPa 14.589 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 5.4827 GPa 9.803 GPa 54.096 TPa–1 109.74 TPa–1 2 GPa 3.7399 GPa0.138610.51032Value
Anisotropy 1.788 2.0286 1.87 3.6816Anisotropy
Axis 0.7976
0.6032
0.0001
0.0000
1.0000
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
0.0000
-0.0003
-0.0000
1.0000
-0.0000
0.7071
-0.7071
1.0000
0.0000
0.0000
0.0000
0.7240
0.6898
Axis
0.0000
1.0000
0.0000
-0.0000
-0.7071
-0.7071
-0.0000
1.0000
0.0000
-0.0000
-0.6898
0.7240
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