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 ScRu3 (Materials Project id mp-973004)

       242      188      188        0        0        0  
       188      242      188        0        0        0  
       188      188      242        0        0        0  
         0        0        0       71        0        0  
         0        0        0        0       71        0  
         0        0        0        0        0       71  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 206 GPaEV = 147.46 GPaGV = 53.4 GPaνV = 0.3807
ReussKR = 206 GPaER = 120.56 GPaGR = 42.982 GPaνR = 0.40246
HillKH = 206 GPaEH = 134.11 GPaGH = 48.191 GPaνH = 0.39149

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
54 GPa 54 GPa 71 GPa 71 GPa 71 GPa 618 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 77.609 GPa 191.05 GPa 1.6181 TPa–1 1.6181 TPa–1 27 GPa 71 GPa-0.0146450.78824Value
Anisotropy 2.462 1.0000 2.63Anisotropy
Axis 0.0000
0.0000
1.0000
0.5774
0.5773
-0.5774
0.9239
0.0000
0.3827
0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
0.0000
0.0000
1.0000
0.7071
-0.0002
0.7071
0.0000
0.7071
0.7071
Axis
0.7071
-0.0005
-0.7071
0.9397
0.3420
-0.0000
0.7071
-0.0006
-0.7071
-1.0000
0.0000
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