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 Be2C (Materials Project id mp-1569)

       572       16       16        0        0        0  
        16      572       16        0        0        0  
        16       16      572        0        0        0  
         0        0        0      204        0        0  
         0        0        0        0      204        0  
         0        0        0        0        0      204  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 201.33 GPaEV = 505.35 GPaGV = 233.6 GPaνV = 0.081662
ReussKR = 201.33 GPaER = 497.05 GPaGR = 228.31 GPaνR = 0.088538
HillKH = 201.33 GPaEH = 501.21 GPaGH = 230.95 GPaνH = 0.085089

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
204 GPa 204 GPa 204 GPa 556 GPa 556 GPa 604 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 457.49 GPa 571.13 GPa 1.6556 TPa–1 1.6556 TPa–1 204 GPa 278 GPa0.0272110.17999Value
Anisotropy 1.248 1.0000 1.363 6.6145Anisotropy
Axis -0.5774
0.5774
0.5773
1.0000
0.0000
0.0000
-0.3314
0.8001
0.5000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
0.0000
0.0000
1.0000
0.7071
-0.0002
0.7071
Axis
-0.7660
0.6428
-0.0000
0.7071
-0.0005
-0.7071
0.1736
0.9848
-0.0000
0.7071
-0.0006
-0.7071
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