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 FeNiPt2 (Materials Project id mp-13463)

       281      165      165        0        0        0  
       165      307      168        0        0        0  
       165      168      307        0        0        0  
         0        0        0      126        0        0  
         0        0        0        0      114        0  
         0        0        0        0        0      114  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 210.11 GPaEV = 252.79 GPaGV = 97.267 GPaνV = 0.29948
ReussKR = 209.62 GPaER = 235.21 GPaGR = 89.571 GPaνR = 0.31298
HillKH = 209.86 GPaEH = 244.05 GPaGH = 93.419 GPaνH = 0.30619

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
114 GPa 114 GPa 125.3 GPa 126 GPa 139 GPa 630.7 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 166.37 GPa 298.69 GPa 1.4679 TPa–1 1.8349 TPa–1 64.26 GPa 126 GPa0.0548130.555Value
Anisotropy 1.795 1.2500 1.961 10.1254Anisotropy
Axis 1.0000
0.0000
0.0000
0.5318
0.5988
0.5988
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.7071
-0.0002
0.7071
-0.0000
-0.0000
1.0000
-0.0000
0.7071
0.7071
-0.0000
0.7071
-0.7071
Axis
0.7071
-0.0006
-0.7071
0.0000
1.0000
0.0000
0.0000
-0.7071
0.7071
-1.0000
-0.0000
-0.0000
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