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 V3FeO8 (Materials Project id mp-771199)

       239       92      105        0       -5        0  
        92      279       91        0       -5        0  
       105       91      236        0       26        0  
         0        0        0       48        0       -5  
        -5       -5       26        0       64        0  
         0        0        0       -5        0       30  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 147.78 GPaEV = 157.3 GPaGV = 59.467 GPaνV = 0.32259
ReussKR = 146.83 GPaER = 135.36 GPaGR = 50.269 GPaνR = 0.34636
HillKH = 147.31 GPaEH = 146.42 GPaGH = 54.868 GPaνH = 0.33433

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
28.704 GPa 49.296 GPa 56.066 GPa 138.64 GPa 179.1 GPa 444.19 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 91.416 GPa 228.23 GPa 1.992 TPa–1 2.7735 TPa–1 28.704 GPa 92.91 GPa0.0733270.65998Value
Anisotropy 2.497 1.3923 3.237 9.0005Anisotropy
Axis -0.6992
0.6773
-0.2289
0.0000
1.0000
0.0000
0.0000
1.0000
0.0000
0.5842
0.0000
-0.8116
0.9680
0.0003
0.2508
0.3470
0.7071
0.6161
-0.7148
0.5640
0.4136
0.6698
0.6917
-0.2699
Axis
-0.0003
1.0000
-0.0001
-0.3470
0.7071
-0.6161
-0.2752
0.3168
-0.9077
-0.7158
0.6982
0.0133
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