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 ScGa2 (Materials Project id mp-11412)

       135       35       62        0        0        0  
        35      128       65        0        0        0  
        62       65      141        0        0        0  
         0        0        0       42        0        0  
         0        0        0        0       62        0  
         0        0        0        0        0       56  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 80.889 GPaEV = 120.5 GPaGV = 48.133 GPaνV = 0.25172
ReussKR = 79.214 GPaER = 114.34 GPaGR = 45.396 GPaνR = 0.25942
HillKH = 80.052 GPaEH = 117.43 GPaGH = 46.765 GPaνH = 0.25552

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
42 GPa 56 GPa 62 GPa 62.599 GPa 96.937 GPa 244.46 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 92.398 GPa 140.63 GPa 2.5542 TPa–1 5.1778 TPa–1 33.369 GPa 62 GPa-0.0132960.45783Value
Anisotropy 1.522 2.0272 1.858Anisotropy
Axis 0.0000
0.0000
1.0000
0.7514
0.0000
-0.6598
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
-0.0000
0.7071
0.7071
-0.0000
0.0000
1.0000
-0.7086
0.7057
-0.0000
-0.6480
0.7616
0.0001
Axis
0.0001
0.7071
-0.7071
-1.0000
0.0000
-0.0000
-0.7057
-0.7086
0.0000
0.0001
0.0002
-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