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 Rb2CdCl4 (Materials Project id mp-29873)

        37       11       15        0        0        0  
        11       37       15        0        0        0  
        15       15       30        0        0        0  
         0        0        0        6        0        0  
         0        0        0        0        6        0  
         0        0        0        0        0        6  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 20.667 GPaEV = 20.785 GPaGV = 7.8 GPaνV = 0.33238
ReussKR = 20.625 GPaER = 19.157 GPaGR = 7.1207 GPaνR = 0.34519
HillKH = 20.646 GPaEH = 19.975 GPaGH = 7.4604 GPaνH = 0.33875

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
6 GPa 6 GPa 6 GPa 15.957 GPa 26 GPa 62.043 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 16.4 GPa 29.085 GPa 15.152 TPa–1 18.182 TPa–1 6 GPa 13 GPa0.118640.53064Value
Anisotropy 1.773 1.2000 2.167 4.4725Anisotropy
Axis 0.5631
0.5631
-0.6049
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
-0.7071
0.7071
0.0000
-1.0000
-0.0000
-0.0000
0.8056
0.0001
0.5924
Axis
0.1735
0.9848
-0.0000
-0.7071
-0.7071
-0.0000
0.0000
-1.0000
-0.0000
0.5924
0.0003
-0.8056
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