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 URu3 (Materials Project id mp-1263)

       336      207      207        0        0        0  
       207      336      207        0        0        0  
       207      207      336        0        0        0  
         0        0        0      117        0        0  
         0        0        0        0      117        0  
         0        0        0        0        0      117  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 250 GPaEV = 255.32 GPaGV = 96 GPaνV = 0.32979
ReussKR = 250 GPaER = 236.91 GPaGR = 88.263 GPaνR = 0.34206
HillKH = 250 GPaEH = 246.16 GPaGH = 92.132 GPaνH = 0.3359

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
117 GPa 117 GPa 117 GPa 129 GPa 129 GPa 750 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 178.18 GPa 303.63 GPa 1.3333 TPa–1 1.3333 TPa–1 64.5 GPa 117 GPa0.103360.5524Value
Anisotropy 1.704 1.0000 1.814 5.3446Anisotropy
Axis 1.0000
0.0000
0.0000
0.5774
0.5774
0.5773
0.2500
0.9330
0.2588
0.9914
0.0000
0.1305
0.7071
0.0001
-0.7071
0.0000
0.0000
1.0000
0.7071
-0.0002
0.7071
0.7071
-0.0001
0.7071
Axis
-0.7071
-0.0002
-0.7071
-0.9397
-0.3420
0.0000
0.7071
-0.0006
-0.7071
0.0001
1.0000
0.0001
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