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 FeGe (Materials Project id mp-21255)

       248      107      107        0        0        0  
       107      248      107        0        0        0  
       107      107      248        0        0        0  
         0        0        0       95        0        0  
         0        0        0        0       95        0  
         0        0        0        0        0       95  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 154 GPaEV = 215.8 GPaGV = 85.2 GPaνV = 0.26645
ReussKR = 154 GPaER = 211.95 GPaGR = 83.406 GPaνR = 0.27061
HillKH = 154 GPaEH = 213.88 GPaGH = 84.303 GPaνH = 0.26853

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
95 GPa 95 GPa 95 GPa 141 GPa 141 GPa 462 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 183.5 GPa 236.39 GPa 2.1645 TPa–1 2.1645 TPa–1 70.5 GPa 95 GPa0.160540.36219Value
Anisotropy 1.288 1.0000 1.348 2.2561Anisotropy
Axis 0.0000
1.0000
0.0000
0.5774
0.5773
-0.5774
0.0000
0.0000
1.0000
0.3536
0.8536
0.3827
0.7071
-0.0003
0.7071
-0.0000
0.0000
1.0000
0.7071
-0.0000
-0.7071
0.7071
-0.0005
0.7071
Axis
0.7071
-0.0005
-0.7071
-0.5000
0.8660
-0.0000
-0.7071
0.0002
-0.7071
0.0004
1.0000
0.0004
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