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 FeAs (Materials Project id mp-427)

       285      114      146        0        0        0  
       114      265      123        0        0        0  
       146      123      181        0        0        0  
         0        0        0       99        0        0  
         0        0        0        0      128        0  
         0        0        0        0        0      106  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 166.33 GPaEV = 228.31 GPaGV = 89.8 GPaνV = 0.27123
ReussKR = 159.76 GPaER = 188.21 GPaGR = 72.187 GPaνR = 0.30365
HillKH = 163.05 GPaEH = 208.46 GPaGH = 80.993 GPaνH = 0.28691

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
67.363 GPa 99 GPa 106 GPa 128 GPa 161.01 GPa 502.62 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 87.186 GPa 276.71 GPa 1.0074 TPa–1 3.5677 TPa–1 37.675 GPa 128 GPa-0.0579150.80096Value
Anisotropy 3.174 3.5415 3.397Anisotropy
Axis 0.0000
0.0000
1.0000
0.7237
0.3944
-0.5662
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
0.0000
0.0000
1.0000
0.7042
0.7100
-0.0000
-0.8087
0.5882
-0.0000
Axis
-0.7071
-0.0002
-0.7071
-1.0000
0.0000
0.0000
-0.7100
0.7042
-0.0000
-0.0002
-0.0003
-1.0000
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