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 YbCu2 (Materials Project id mp-567538)

        95       42       29        0        0        0  
        42      101       55        0        0        0  
        29       55       99        0        0        0  
         0        0        0       37        0        0  
         0        0        0        0       24        0  
         0        0        0        0        0       24  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 60.778 GPaEV = 73.418 GPaGV = 28.267 GPaνV = 0.29867
ReussKR = 59.719 GPaER = 70.044 GPaGR = 26.847 GPaνR = 0.30452
HillKH = 60.248 GPaEH = 71.733 GPaGH = 27.557 GPaνH = 0.30156

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
24 GPa 24 GPa 37 GPa 42.454 GPa 68.85 GPa 183.7 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 59.568 GPa 94.04 GPa 3.7137 TPa–1 7.0623 TPa–1 21.762 GPa 37 GPa0.0790450.51168Value
Anisotropy 1.579 1.9017 1.7 6.4733Anisotropy
Axis 0.6575
0.0000
0.7534
-0.0000
0.6804
0.7328
0.0000
1.0000
0.0000
1.0000
0.0000
0.0000
0.3195
0.7071
0.6308
-0.0006
-0.0006
1.0000
0.0000
0.0000
1.0000
-0.0004
-0.0002
1.0000
Axis
-0.3195
0.7071
-0.6308
-0.0000
1.0000
0.0006
-1.0000
0.0000
0.0000
0.0000
1.0000
0.0002
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