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 UCdO4 (Materials Project id mp-545598)

       211       38       73        0        0        0  
        38      129      101        0        0        0  
        73      101      328        0        0        0  
         0        0        0       25        0        0  
         0        0        0        0       54        0  
         0        0        0        0        0       15  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 121.33 GPaEV = 130.03 GPaGV = 49.2 GPaνV = 0.32139
ReussKR = 97.468 GPaER = 85.771 GPaGR = 31.689 GPaνR = 0.35334
HillKH = 109.4 GPaEH = 108.02 GPaGH = 40.444 GPaνH = 0.33543

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
15 GPa 25 GPa 54 GPa 86.255 GPa 176.77 GPa 404.98 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 49.323 GPa 239.56 GPa 0.26868 TPa–1 6.5187 TPa–1 15 GPa 89.431 GPa0.067390.72697Value
Anisotropy 4.857 24.2622 5.962 10.7876Anisotropy
Axis -0.6693
0.7430
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
1.0000
-0.0002
0.0000
0.7071
-0.0002
0.7071
-0.0000
0.8298
0.5581
0.0000
0.2796
0.9601
Axis
0.0002
1.0000
0.0000
0.7071
0.0001
-0.7071
-1.0000
-0.0000
-0.0000
-0.0000
0.9601
-0.2796
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