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 Cs2PdC2 (Materials Project id mp-505824)

        30       15        9       -2        0        0  
        15       30        9        2        0        0  
         9        9      195        0        0        0  
        -2        2        0        4        0        0  
         0        0        0        0        4       -2  
         0        0        0        0       -2        7  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 35.667 GPaEV = 45.784 GPaGV = 17.8 GPaνV = 0.28606
ReussKR = 21.586 GPaER = 14.96 GPaGR = 5.4026 GPaνR = 0.3845
HillKH = 28.627 GPaEH = 30.662 GPaGH = 11.601 GPaνH = 0.32148

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
3 GPa 3.3153 GPa 8 GPa 15.685 GPa 43.928 GPa 196.07 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 8.7921 GPa 191.4 GPa 3.1348 TPa–1 21.595 TPa–1 3 GPa 19.658 GPa-0.394791.136Value
Anisotropy 21.77 6.8889 6.553Anisotropy
Axis -0.6936
0.4108
0.5917
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
-0.1516
0.9884
0.0000
-0.0000
0.4472
0.8944
-0.0002
0.6482
0.7615
0.1357
0.0759
-0.9878
0.2085
0.1202
-0.9706
Axis
-1.0000
0.0000
-0.0000
-0.0001
0.7615
-0.6482
-0.5088
0.8609
-0.0037
-0.8401
-0.4862
-0.2406
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