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-20311)

        91       31        3        0        0        0  
        31       91        3        0        0        0  
         3        3       10        0        0        0  
         0        0        0        1        0        0  
         0        0        0        0        1        0  
         0        0        0        0        0       62  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 29.556 GPaEV = 55.04 GPaGV = 23.133 GPaνV = 0.18962
ReussKR = 9.2462 GPaER = 6.3098 GPaGR = 2.2758 GPaνR = 0.38626
HillKH = 19.401 GPaEH = 31.285 GPaGH = 12.705 GPaνH = 0.23124

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
1 GPa 1 GPa 9.8395 GPa 60 GPa 62 GPa 122.16 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 3.5778 GPa 122.07 GPa 5.8236 TPa–1 96.506 TPa–1 1 GPa 62 GPa-0.0155610.85556Value
Anisotropy 34.12 16.5714 62Anisotropy
Axis 0.6704
0.0000
0.7420
0.7071
0.7071
0.0000
0.1302
0.9915
-0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0007
0.0000
-0.7071
0.7071
-0.0000
0.6372
0.6372
0.4334
Axis
1.0000
0.0000
-0.0000
-0.0007
1.0000
0.0000
-0.7071
-0.7071
0.0000
0.3065
0.3065
-0.9012
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