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 HoClO (Materials Project id mp-29731)

       170       57       56        0        0        0  
        57      170       56        0        0        0  
        56       56       49        0        0        0  
         0        0        0       25        0        0  
         0        0        0        0       25        0  
         0        0        0        0        0       66  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 80.778 GPaEV = 98.248 GPaGV = 37.867 GPaνV = 0.29729
ReussKR = 48.03 GPaER = 60.615 GPaGR = 23.501 GPaνR = 0.28966
HillKH = 64.404 GPaEH = 79.436 GPaGH = 30.684 GPaνH = 0.29443

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
18.866 GPa 25 GPa 25 GPa 66 GPa 113 GPa 257.13 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 21.37 GPa 113.19 GPa -1.443 TPa–1 23.706 TPa–1 12.601 GPa 66 GPa-0.142861.3061Value
Anisotropy 5.297 5.238Anisotropy
Axis 0.0000
0.0000
1.0000
0.7036
0.7036
0.0994
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
1.0000
0.0006
-0.0000
0.7071
0.7071
0.0000
0.7071
0.7071
0.0000
Axis
0.7071
-0.0005
-0.7071
-0.0006
1.0000
0.0000
-0.7071
0.7071
-0.0000
0.0000
-0.0000
-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