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 Be17Nb2 (Materials Project id mp-30441)

       344       55       23      -11        0        0  
        55      344       23       11        0        0  
        23       23      372        0        0        0  
       -11       11        0      150        0        0  
         0        0        0        0      150      -11  
         0        0        0        0      -11      144  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 140.22 GPaEV = 336.15 GPaGV = 152.73 GPaνV = 0.10045
ReussKR = 140.22 GPaER = 333.73 GPaGR = 151.24 GPaνR = 0.10332
HillKH = 140.22 GPaEH = 334.94 GPaGH = 151.99 GPaνH = 0.10189

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
135.6 GPa 148.28 GPa 158.4 GPa 290.72 GPa 350.28 GPa 420.72 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 310.05 GPa 369.35 GPa 2.3682 TPa–1 2.3953 TPa–1 135.6 GPa 168.44 GPa0.039980.17511Value
Anisotropy 1.191 1.0115 1.242 4.3801Anisotropy
Axis -0.7418
0.4322
0.5129
0.0000
0.0000
1.0000
0.2741
0.9617
-0.0000
0.0000
0.0000
1.0000
0.0000
0.7947
0.6070
0.0003
0.5850
0.8110
0.0000
0.3462
0.9381
0.5121
0.8589
0.0050
Axis
-1.0000
0.0000
0.0000
0.0000
0.8110
-0.5850
-1.0000
-0.0000
0.0000
-0.8128
0.4827
0.3261
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