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 NaUO3 (Materials Project id mp-5788)

       151       43       65        0        0        0  
        43      192       25        0        0        0  
        65       25      147        0        0        0  
         0        0        0       41        0        0  
         0        0        0        0       81        0  
         0        0        0        0        0       43  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 84 GPaEV = 139.06 GPaGV = 56.8 GPaνV = 0.22409
ReussKR = 83.632 GPaER = 128.15 GPaGR = 51.48 GPaνR = 0.24462
HillKH = 83.816 GPaEH = 133.64 GPaGH = 54.14 GPaνH = 0.23425

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
41 GPa 43 GPa 81 GPa 82.406 GPa 154.73 GPa 252.86 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 103.62 GPa 179.79 GPa 3.5662 TPa–1 4.5773 TPa–1 41 GPa 81 GPa0.0361050.43813Value
Anisotropy 1.735 1.2835 1.976 12.1349Anisotropy
Axis 0.0000
0.5956
0.8033
0.7028
0.0000
0.7114
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
-0.0000
0.0000
1.0000
-0.5433
0.7061
0.4541
Axis
-0.0000
1.0000
-0.0000
-1.0000
0.0000
0.0000
-0.0000
-1.0000
0.0000
-0.5209
-0.7077
0.4773
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