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 InAs (Materials Project id mp-20305)

        71       38       38        0        0        0  
        38       71       38        0        0        0  
        38       38       71        0        0        0  
         0        0        0       34        0        0  
         0        0        0        0       34        0  
         0        0        0        0        0       34  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 49 GPaEV = 68.431 GPaGV = 27 GPaνV = 0.26724
ReussKR = 49 GPaER = 61.612 GPaGR = 23.872 GPaνR = 0.29044
HillKH = 49 GPaEH = 65.052 GPaGH = 25.436 GPaνH = 0.27873

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
33 GPa 33 GPa 34 GPa 34 GPa 34 GPa 147 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 44.505 GPa 82.84 GPa 6.8027 TPa–1 6.8027 TPa–1 16.5 GPa 34 GPa0.00237650.53394Value
Anisotropy 1.861 1.0000 2.061224.6786Anisotropy
Axis 0.0000
0.0000
1.0000
0.5774
0.5774
0.5773
0.7934
0.0000
0.6088
0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
0.0000
0.0000
1.0000
0.7071
-0.0002
0.7071
0.7071
-0.0001
0.7071
Axis
0.7071
-0.0005
-0.7071
0.7660
0.6428
-0.0000
0.7071
-0.0006
-0.7071
0.0001
1.0000
0.0001
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