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 IrN2 (Materials Project id mp-415)

       719      113      166        0       69        0  
       113      805      128        0       26        0  
       166      128      735        0      -16        0  
         0        0        0      161        0       30  
        69       26      -16        0      182        0  
         0        0        0       30        0      144  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 341.44 GPaEV = 545.07 GPaGV = 220.87 GPaνV = 0.23394
ReussKR = 337.05 GPaER = 482.78 GPaGR = 191.39 GPaνR = 0.26127
HillKH = 339.25 GPaEH = 514.23 GPaGH = 206.13 GPaνH = 0.24736

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
121.32 GPa 170.11 GPa 183.68 GPa 570.09 GPa 673.15 GPa 1027.7 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 338.02 GPa 770.07 GPa 0.76746 TPa–1 1.2421 TPa–1 121.32 GPa 327.5 GPa0.0405940.499Value
Anisotropy 2.278 1.6185 2.7 12.2922Anisotropy
Axis -0.6315
0.6261
0.4573
0.0000
1.0000
0.0000
0.6081
0.0000
0.7939
-0.7939
-0.0000
0.6081
-0.7977
0.0000
0.6031
0.6961
0.7071
0.1245
-0.8165
-0.0000
0.5774
0.7072
0.6861
0.1707
Axis
-0.0000
-1.0000
0.0000
-0.6961
0.7071
-0.1246
-0.0000
-1.0000
-0.0000
-0.7041
0.7055
0.0812
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