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 Na2PdC2 (Materials Project id mp-4823)

        46       19       17       -6        0        0  
        19       46       17        6        0        0  
        17       17      341        0        0        0  
        -6        6        0        9        0        0  
         0        0        0        0        9       -6  
         0        0        0        0       -6       14  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 59.889 GPaEV = 80.909 GPaGV = 31.733 GPaνV = 0.27483
ReussKR = 31.792 GPaER = 25.52 GPaGR = 9.3395 GPaνR = 0.36622
HillKH = 45.841 GPaEH = 53.604 GPaGH = 20.536 GPaνH = 0.30511

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
5 GPa 5.6307 GPa 18 GPa 30.369 GPa 62.921 GPa 343.08 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 13.81 GPa 332.11 GPa 1.436 TPa–1 15.009 TPa–1 4.8806 GPa 34.679 GPa-0.662711.4112Value
Anisotropy 24.05 10.4516 7.105Anisotropy
Axis 0.0000
0.8285
-0.5600
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.9659
0.2588
0.0000
-0.4888
0.2856
-0.8243
-0.5142
0.3287
-0.7922
0.0000
0.1654
0.9862
-0.0000
0.2043
0.9789
Axis
-0.5043
-0.8635
-0.0002
-0.6804
0.4060
0.6101
-1.0000
-0.0000
0.0000
-0.0000
-0.9789
0.2043
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