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 DyNi5 (Materials Project id mp-1179)

       233      106       88        0        0       -1  
       106      233       88        0        0       -1  
        88       88      290        0        0       -2  
         0        0        0       68        0        0  
         0        0        0        0       68        0  
        -1       -1       -2        0        0       63  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 146.67 GPaEV = 184.29 GPaGV = 71.4 GPaνV = 0.29057
ReussKR = 146.04 GPaER = 180.56 GPaGR = 69.772 GPaνR = 0.29394
HillKH = 146.36 GPaEH = 182.43 GPaGH = 70.586 GPaνH = 0.29225

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
62.982 GPa 68 GPa 68 GPa 127 GPa 187.66 GPa 441.35 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 170.44 GPa 244.28 GPa 1.9689 TPa–1 2.5091 TPa–1 62.985 GPa 84.288 GPa0.176650.38933Value
Anisotropy 1.433 1.2744 1.338 2.2040Anisotropy
Axis 0.6285
0.6285
0.4583
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.7071
0.7071
0.0000
1.0000
-0.0002
-0.0000
0.5000
0.5000
0.7071
0.7071
0.7071
0.0000
-0.7071
0.7071
-0.0000
Axis
0.0002
1.0000
0.0000
0.5000
0.5000
-0.7071
0.0003
-0.0003
-1.0000
-0.7071
-0.7071
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