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 UCo2 (Materials Project id mp-1383)

       317      187      187        0        0        0  
       187      317      187        0        0        0  
       187      187      317        0        0        0  
         0        0        0      104        0        0  
         0        0        0        0      104        0  
         0        0        0        0        0      104  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 230.33 GPaEV = 235.12 GPaGV = 88.4 GPaνV = 0.32987
ReussKR = 230.33 GPaER = 224.38 GPaGR = 83.871 GPaνR = 0.33764
HillKH = 230.33 GPaEH = 229.77 GPaGH = 86.135 GPaνH = 0.33374

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
104 GPa 104 GPa 104 GPa 130 GPa 130 GPa 691 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 178.23 GPa 271.18 GPa 1.4472 TPa–1 1.4472 TPa–1 65 GPa 104 GPa0.15340.49942Value
Anisotropy 1.522 1.0000 1.6 3.2557Anisotropy
Axis 0.0000
0.0000
1.0000
0.5774
0.5774
0.5773
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
-0.0000
0.0000
1.0000
0.7071
-0.0002
0.7071
0.7071
-0.0004
-0.7071
Axis
-0.7071
-0.0002
-0.7071
-0.5000
0.8660
-0.0000
0.7071
-0.0006
-0.7071
0.0003
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