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 Te2Pd3 (Materials Project id mp-613)

       146       76       92        0        0        0  
        76      113       74        0        0        0  
        92       74      140        0        0        0  
         0        0        0       24        0        0  
         0        0        0        0       21        0  
         0        0        0        0        0       22  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 98.111 GPaEV = 66.23 GPaGV = 23.867 GPaνV = 0.38749
ReussKR = 95.002 GPaER = 65.219 GPaGR = 23.535 GPaνR = 0.38558
HillKH = 96.557 GPaEH = 65.725 GPaGH = 23.701 GPaνH = 0.38655

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
21 GPa 22 GPa 24 GPa 50.857 GPa 51.742 GPa 296.4 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 61.5 GPa 75.403 GPa 2.2309 TPa–1 5.5541 TPa–1 21 GPa 26.013 GPa0.313970.52672Value
Anisotropy 1.226 2.4897 1.239 1.6776Anisotropy
Axis -0.5814
0.7325
0.3541
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
0.7071
0.7071
0.0000
0.6828
0.0004
-0.7306
0.7295
0.0001
-0.6840
Axis
1.0000
0.0000
-0.0000
-0.7071
0.7071
0.0001
-0.0002
1.0000
0.0004
-0.6840
0.0001
-0.7295
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