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 UAl3Pd2 (Materials Project id mp-4561)

       170      104       79        0        0        0  
       104      170       79        0        0        0  
        79       79      237        0        0        0  
         0        0        0       66        0        0  
         0        0        0        0       66        0  
         0        0        0        0        0       33  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 122.33 GPaEV = 141.22 GPaGV = 54 GPaνV = 0.3076
ReussKR = 121.43 GPaER = 126.45 GPaGR = 47.664 GPaνR = 0.32644
HillKH = 121.88 GPaEH = 133.88 GPaGH = 50.832 GPaνH = 0.31692

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
33 GPa 66 GPa 66 GPa 66 GPa 142.26 GPa 368.74 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 101.68 GPa 191.45 GPa 2.2114 TPa–1 3.012 TPa–1 33 GPa 66 GPa0.11050.54177Value
Anisotropy 1.883 1.3621 2 4.9029Anisotropy
Axis 0.9914
0.1305
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.2588
0.9659
0.0000
1.0000
-0.0002
0.0000
0.0000
0.0000
1.0000
0.0579
0.7712
0.6339
-0.5661
0.7710
0.2916
Axis
0.0002
1.0000
0.0000
1.0000
0.0000
-0.0000
-0.0475
-0.6322
0.7734
-0.8061
-0.5918
-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