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 FeSe (Materials Project id mp-1090)

       118       46       26       -1        0        0  
        46      118       26        1        0        0  
        26       26      144        0        0        0  
        -1        1        0       33        0        0  
         0        0        0        0       33       -1  
         0        0        0        0       -1       36  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 64 GPaEV = 97.661 GPaGV = 39.2 GPaνV = 0.24567
ReussKR = 63.977 GPaER = 94.01 GPaGR = 37.451 GPaνR = 0.2551
HillKH = 63.989 GPaEH = 95.842 GPaGH = 38.326 GPaνH = 0.25037

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
32.697 GPa 32.949 GPa 36.303 GPa 72.051 GPa 115.89 GPa 192.11 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 84.496 GPa 135.76 GPa 5.0305 TPa–1 5.3 TPa–1 32.697 GPa 50.33 GPa0.112970.36661Value
Anisotropy 1.607 1.0536 1.539 3.2452Anisotropy
Axis 0.6962
0.4019
0.5948
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
-0.9239
0.3827
0.0000
-0.0000
0.2898
0.9571
0.0000
0.6927
0.7212
0.4999
0.8661
0.0000
-0.5000
0.8660
-0.0000
Axis
-1.0000
-0.0000
-0.0000
-0.0000
-0.7212
0.6927
0.0709
-0.0409
0.9966
-0.8631
-0.4984
-0.0818
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