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 IrW (Materials Project id mp-30744)

       619      221      191        0        0        0  
       221      583      166        0        0        0  
       191      166      651        0        0        0  
         0        0        0      154        0        0  
         0        0        0        0      182        0  
         0        0        0        0        0      163  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 334.33 GPaEV = 468.15 GPaGV = 184.8 GPaνV = 0.26663
ReussKR = 333.78 GPaER = 459.5 GPaGR = 180.83 GPaνR = 0.27056
HillKH = 334.06 GPaEH = 463.83 GPaGH = 182.81 GPaνH = 0.26859

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
154 GPa 163 GPa 182 GPa 378.84 GPa 470.14 GPa 1004 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 414.22 GPa 573.09 GPa 0.92351 TPa–1 1.0836 TPa–1 154 GPa 223.64 GPa0.163160.37912Value
Anisotropy 1.384 1.1734 1.452 2.3237Anisotropy
Axis -0.0000
0.7585
0.6517
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.0000
1.0000
0.0000
-0.0003
-0.0000
1.0000
-0.0001
0.7071
0.7071
0.4153
0.9097
0.0000
-0.7271
0.6865
-0.0000
Axis
0.0000
1.0000
0.0000
0.0000
0.7071
-0.7071
0.0001
-0.0000
-1.0000
-0.6865
-0.7271
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