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 DyZn2 (Materials Project id mp-570093)

       114       52       37        0        0        0  
        52       99       47        0        0        0  
        37       47      140        0        0        0  
         0        0        0       50        0        0  
         0        0        0        0       34        0  
         0        0        0        0        0       36  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 69.444 GPaEV = 97.414 GPaGV = 38.467 GPaνV = 0.26621
ReussKR = 68.923 GPaER = 92.766 GPaGR = 36.359 GPaνR = 0.27568
HillKH = 69.184 GPaEH = 95.097 GPaGH = 37.413 GPaνH = 0.27091

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
34 GPa 36 GPa 50 GPa 51.687 GPa 91.942 GPa 209.37 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 68.191 GPa 121.92 GPa 3.9488 TPa–1 5.6443 TPa–1 26.658 GPa 50 GPa0.104630.47558Value
Anisotropy 1.788 1.4294 1.876 4.5455Anisotropy
Axis 0.0000
1.0000
0.0000
-0.0000
0.4514
0.8923
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
0.7071
0.7071
0.0000
-0.0006
-0.0006
1.0000
1.0000
0.0002
-0.0000
1.0000
0.0003
-0.0000
Axis
-0.7071
0.7071
-0.0000
-0.0000
1.0000
0.0006
-0.0000
0.0000
-1.0000
-0.0003
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