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 Rb2Pd3S4 (Materials Project id mp-11695)

        52       11       29        0        0        0  
        11       19        9        0        0        0  
        29        9       47        0        0        0  
         0        0        0        7        0        0  
         0        0        0        0        9        0  
         0        0        0        0        0        2  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 24 GPaEV = 22.085 GPaGV = 8.2 GPaνV = 0.34663
ReussKR = 16.773 GPaER = 14.109 GPaGR = 5.1878 GPaνR = 0.35981
HillKH = 20.386 GPaEH = 18.101 GPaGH = 6.6939 GPaνH = 0.35202

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
2 GPa 7 GPa 9 GPa 15.664 GPa 20.522 GPa 81.814 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 6.9603 GPa 32.389 GPa 3.9544 TPa–1 45.551 TPa–1 2 GPa 10.182 GPa-0.100930.87196Value
Anisotropy 4.653 11.5192 5.091Anisotropy
Axis 0.6792
0.7340
0.0000
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
0.0000
1.0000
-0.0001
-0.0000
0.7071
-0.0002
0.7071
-0.4777
0.4418
-0.7593
-0.6142
0.3893
-0.6864
Axis
0.0001
1.0000
0.0000
0.7071
0.0002
-0.7071
0.4989
-0.5750
-0.6484
-0.6675
-0.7203
0.1888
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