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 HgO (Materials Project id mp-1224)

        26       21       13        0        0        0  
        21       96       15        0        0        0  
        13       15       28        0        0        0  
         0        0        0        5        0        0  
         0        0        0        0        7        0  
         0        0        0        0        0       11  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 27.556 GPaEV = 29.901 GPaGV = 11.333 GPaνV = 0.31915
ReussKR = 19.925 GPaER = 20.934 GPaGR = 7.9002 GPaνR = 0.3249
HillKH = 23.74 GPaEH = 25.418 GPaGH = 9.6167 GPaνH = 0.32155

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
5 GPa 7 GPa 11 GPa 13.496 GPa 30.522 GPa 105.98 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 15.196 GPa 78.097 GPa 1.1224 TPa–1 26.045 TPa–1 5 GPa 15.329 GPa0.0569340.60503Value
Anisotropy 5.139 23.2041 3.066 10.6269Anisotropy
Axis 0.0000
0.6106
0.7919
0.0000
1.0000
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
0.0000
-0.0003
-0.0000
1.0000
-0.0003
0.7071
-0.7071
0.0000
-0.0000
1.0000
0.2517
0.8159
0.5205
Axis
0.0000
1.0000
0.0000
-0.0003
-0.7071
-0.7071
-0.0000
-1.0000
-0.0000
-0.1026
0.5573
-0.8239
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