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 Fe2As (Materials Project id mp-20426)

       185       83      120        0        0        0  
        83      185      120        0        0        0  
       120      120      311        0        0        0  
         0        0        0       29        0        0  
         0        0        0        0       29        0  
         0        0        0        0        0       54  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 147.44 GPaEV = 125.66 GPaGV = 46.267 GPaνV = 0.35796
ReussKR = 133.04 GPaER = 110.43 GPaGR = 40.548 GPaνR = 0.36167
HillKH = 140.24 GPaEH = 118.04 GPaGH = 43.407 GPaνH = 0.35972

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
29 GPa 29 GPa 54 GPa 102 GPa 118.44 GPa 460.56 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 92.568 GPa 203.54 GPa 0.51331 TPa–1 3.5015 TPa–1 29 GPa 59.548 GPa0.181570.63321Value
Anisotropy 2.199 6.8214 2.053 3.4873Anisotropy
Axis 0.7626
-0.0000
-0.6469
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.9239
0.3827
0.0000
0.0000
0.0000
1.0000
0.4999
0.5001
-0.7071
0.5648
0.5648
0.6016
-0.4328
0.4329
-0.7907
Axis
1.0000
0.0000
-0.0000
-0.5001
-0.4999
-0.7071
-0.7071
0.7071
-0.0000
0.5591
-0.5592
-0.6122
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