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 Y2Zn17 (Materials Project id mp-17639)

       150       55       39       -2        0        0  
        55      150       39        2        0        0  
        39       39      160        0        0        0  
        -2        2        0       49        0        0  
         0        0        0        0       49       -2  
         0        0        0        0       -2       48  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 80.667 GPaEV = 126.37 GPaGV = 51 GPaνV = 0.23891
ReussKR = 80.645 GPaER = 125.23 GPaGR = 50.45 GPaνR = 0.24118
HillKH = 80.656 GPaEH = 125.8 GPaGH = 50.725 GPaνH = 0.24004

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
46.438 GPa 48.827 GPa 50.562 GPa 95.173 GPa 122.93 GPa 242.07 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 117.1 GPa 145.16 GPa 4.0661 TPa–1 4.2678 TPa–1 46.187 GPa 57.588 GPa0.163660.32903Value
Anisotropy 1.24 1.0496 1.247 2.0105Anisotropy
Axis 0.0000
0.8377
-0.5462
0.0000
0.0000
1.0000
0.1305
0.9914
0.0000
0.0000
0.0000
1.0000
-0.6939
0.4311
-0.5768
0.5199
0.4066
-0.7512
-0.0028
0.9986
0.0533
1.0000
0.0002
-0.0000
Axis
-0.5326
-0.8463
0.0081
0.6125
0.4355
0.6597
0.0003
0.0533
-0.9986
-0.0002
0.9868
-0.1622
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