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 LaB2Rh2C (Materials Project id mp-6794)

       264      204      151        0        0        0  
       204      264      151        0        0        0  
       151      151      300        0        0        0  
         0        0        0       38        0        0  
         0        0        0        0       38        0  
         0        0        0        0        0      130  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 204.44 GPaEV = 170.57 GPaGV = 62.667 GPaνV = 0.36095
ReussKR = 204.31 GPaER = 130.71 GPaGR = 46.906 GPaνR = 0.39337
HillKH = 204.38 GPaEH = 150.88 GPaGH = 54.786 GPaνH = 0.37696

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
38 GPa 38 GPa 60 GPa 130 GPa 154.53 GPa 613.47 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 97.615 GPa 285.28 GPa 1.5718 TPa–1 1.7511 TPa–1 30 GPa 130 GPa0.0937390.68085Value
Anisotropy 2.922 1.1141 4.333 7.2632Anisotropy
Axis 0.8948
-0.0000
0.4464
0.7071
0.7071
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
-0.7071
0.7071
0.0000
1.0000
-0.0000
-0.0000
-0.6730
0.6730
-0.3067
1.0000
-0.0000
-0.0000
Axis
-0.7071
-0.7071
-0.0000
0.0000
1.0000
0.0000
-0.7071
-0.7071
-0.0000
0.0000
1.0000
0.0000
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