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 FeAs2 (Materials Project id mp-2008)

       288       68       81        0        0        0  
        68      349       26        0        0        0  
        81       26      232        0        0        0  
         0        0        0       68        0        0  
         0        0        0        0      132        0  
         0        0        0        0        0      148  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 135.44 GPaEV = 270.47 GPaGV = 115.87 GPaνV = 0.16718
ReussKR = 131.78 GPaER = 249.11 GPaGR = 105.12 GPaνR = 0.18494
HillKH = 133.61 GPaEH = 259.85 GPaGH = 110.49 GPaνH = 0.17587

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
68 GPa 132 GPa 148 GPa 172.05 GPa 278.41 GPa 418.54 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 175.69 GPa 339.39 GPa 2.0013 TPa–1 3.3623 TPa–1 68 GPa 148 GPa-0.0281210.38524Value
Anisotropy 1.932 1.6801 2.176Anisotropy
Axis -0.0000
0.6064
0.7951
-0.4371
0.8994
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
-0.0003
-0.0000
1.0000
1.0000
-0.0000
0.0000
0.7102
0.5124
-0.4827
-0.6597
0.5878
-0.4683
Axis
0.0000
1.0000
0.0000
0.0000
1.0000
-0.0000
-0.7040
0.5147
-0.4894
-0.0663
-0.6662
-0.7428
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