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 Fe2B (Materials Project id mp-568748)

       351       88       88        0        0        0  
        88      221      208        0        0        0  
        88      208      222        0        0        0  
         0        0        0       55        0        0  
         0        0        0        0       44        0  
         0        0        0        0        0       43  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 173.56 GPaEV = 151.03 GPaGV = 55.733 GPaνV = 0.35496
ReussKR = 173.53 GPaER = 65.324 GPaGR = 22.725 GPaνR = 0.43726
HillKH = 173.54 GPaEH = 109.44 GPaGH = 39.229 GPaνH = 0.39489

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
13.499 GPa 43 GPa 44 GPa 55 GPa 259.76 GPa 520.74 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 26.02 GPa 314.94 GPa 1.8724 TPa–1 2.0164 TPa–1 6.7497 GPa 96.907 GPa-0.379671.1713Value
Anisotropy 12.1 1.0769 14.36Anisotropy
Axis 0.0000
1.0000
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
0.0003
0.7071
-0.7071
0.7071
0.4994
-0.5005
0.8613
-0.0001
-0.5080
-0.7962
0.6051
-0.0000
Axis
0.0003
-0.7071
-0.7071
-0.7071
0.4995
-0.5006
-0.5080
0.0003
-0.8613
-0.0001
-0.0000
1.0000
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