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 Cs2Pd(IBr2)2 (Materials Project id mp-543024)

        17        9        9        0        0        0  
         9       17        9        0        0        0  
         9        9       63        0        0        0  
         0        0        0        4        0        0  
         0        0        0        0        4        0  
         0        0        0        0        0        8  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 16.778 GPaEV = 20.41 GPaGV = 7.8667 GPaνV = 0.29725
ReussKR = 12.724 GPaER = 13.964 GPaGR = 5.3011 GPaνR = 0.31709
HillKH = 14.751 GPaEH = 17.194 GPaGH = 6.5839 GPaνH = 0.30573

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
4 GPa 4 GPa 8 GPa 8 GPa 22.044 GPa 66.956 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 10.769 GPa 56.769 GPa 5.4201 TPa–1 36.585 TPa–1 4 GPa 12.136 GPa0.0727270.65232Value
Anisotropy 5.271 6.7500 3.034 8.9694Anisotropy
Axis 0.8619
0.0000
0.5071
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
-0.5002
0.4998
-0.7071
1.0000
0.0002
0.0000
-0.3899
0.3901
0.8341
Axis
1.0000
0.0000
-0.0000
0.4999
-0.5001
-0.7071
-0.0000
0.0002
-1.0000
-0.5900
0.5897
-0.5516
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