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 InNi3 (Materials Project id mp-22784)

       196      127      127        0        0        0  
       127      196      127        0        0        0  
       127      127      196        0        0        0  
         0        0        0       93        0        0  
         0        0        0        0       93        0  
         0        0        0        0        0       93  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 150 GPaEV = 180.83 GPaGV = 69.6 GPaνV = 0.29908
ReussKR = 150 GPaER = 148.02 GPaGR = 55.415 GPaνR = 0.33554
HillKH = 150 GPaEH = 164.65 GPaGH = 62.507 GPaνH = 0.31705

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
69 GPa 69 GPa 93 GPa 93 GPa 93 GPa 450 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 96.13 GPa 231.22 GPa 2.2222 TPa–1 2.2222 TPa–1 34.5 GPa 93 GPa-0.0800820.69985Value
Anisotropy 2.405 1.0000 2.696Anisotropy
Axis 1.0000
0.0000
0.0000
-0.5774
0.5774
0.5773
0.0000
0.0000
1.0000
0.8660
0.0000
0.5000
0.7071
0.0001
-0.7071
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
-0.0000
0.7071
-0.7071
Axis
-0.7071
-0.0002
-0.7071
0.7660
0.6428
-0.0000
-0.7071
-0.0002
-0.7071
-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