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 Fe3Se4 (Materials Project id mp-2780)

       140       77       58        0        5        0  
        77      141       49        0        9        0  
        58       49      154        0       12        0  
         0        0        0       53        0        3  
         5        9       12        0       69        0  
         0        0        0        3        0       62  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 89.222 GPaEV = 133.83 GPaGV = 53.533 GPaνV = 0.25
ReussKR = 87.94 GPaER = 125.04 GPaGR = 49.501 GPaνR = 0.26302
HillKH = 88.581 GPaEH = 129.46 GPaGH = 51.517 GPaνH = 0.25643

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
52.092 GPa 60.754 GPa 62.908 GPa 69.393 GPa 104.9 GPa 268.95 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 90.704 GPa 160.55 GPa 2.8841 TPa–1 4.5433 TPa–1 31.448 GPa 68.695 GPa0.0252430.54358Value
Anisotropy 1.77 1.5753 2.184 21.5342Anisotropy
Axis 0.9997
-0.0000
0.0253
0.5819
0.4674
0.6656
-0.8560
0.0000
-0.5170
-0.5170
0.0000
0.8560
-0.7061
0.7071
-0.0373
0.0703
0.0000
-0.9975
0.6586
-0.0001
0.7525
0.7883
0.0001
0.6153
Axis
-0.7061
-0.7071
-0.0373
-0.9975
-0.0000
-0.0703
0.7525
0.0000
-0.6586
-0.0000
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