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 FeP2 (Materials Project id mp-20027)

       404       84      114        0        0        0  
        84      471       29        0        0        0  
       114       29      314        0        0        0  
         0        0        0       96        0        0  
         0        0        0        0      194        0  
         0        0        0        0        0      193  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 182.56 GPaEV = 372.79 GPaGV = 160.73 GPaνV = 0.15966
ReussKR = 177.29 GPaER = 344.05 GPaGR = 146.21 GPaνR = 0.17657
HillKH = 179.92 GPaEH = 358.49 GPaGH = 153.47 GPaνH = 0.16793

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
96 GPa 193 GPa 194 GPa 233.83 GPa 392.18 GPa 562.99 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 242.68 GPa 454.45 GPa 1.4086 TPa–1 2.5147 TPa–1 96 GPa 196.68 GPa-0.0252070.36901Value
Anisotropy 1.873 1.7852 2.049Anisotropy
Axis -0.0000
0.5944
-0.8042
0.2834
0.9590
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
-0.0003
-0.0000
1.0000
-0.4914
0.7071
-0.5085
0.7108
0.4801
-0.5141
-0.6717
0.5875
0.4513
Axis
0.0000
1.0000
0.0000
-0.4914
-0.7071
-0.5085
-0.7034
0.4888
-0.5160
-0.1060
-0.6791
0.7264
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