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 PdS2 (Materials Project id mp-13682)

       182        4       13        0        0        0  
         4        4        6        0        0        0  
        13        6      135        0        0        0  
         0        0        0        2        0        0  
         0        0        0        0       52        0  
         0        0        0        0        0        1  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 40.778 GPaEV = 73.943 GPaGV = 30.867 GPaνV = 0.19778
ReussKR = 3.9684 GPaER = 6.4005 GPaGR = 2.5993 GPaνR = 0.23119
HillKH = 22.373 GPaEH = 40.182 GPaGH = 16.733 GPaνH = 0.20067

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
1 GPa 2 GPa 3.6604 GPa 52 GPa 131.82 GPa 185.52 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 2.9238 GPa 177.61 GPa -3.9769 TPa–1 255.81 TPa–1 1 GPa 70.374 GPa-0.442191.4607Value
Anisotropy 60.75 70.37Anisotropy
Axis -0.5589
0.8292
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
1.0000
-0.0002
-0.0000
0.7071
-0.0000
0.7071
0.6550
0.1281
0.7447
0.0000
0.0000
1.0000
Axis
0.0002
1.0000
0.0000
0.7071
0.0000
-0.7071
0.5835
0.5405
-0.6061
0.0000
1.0000
-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