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 Te2Ir (Materials Project id mp-1551)

       194       62       67        0       -7        0  
        62      163       39        0       -6        0  
        67       39       88        0      -28        0  
         0        0        0       45        0       -0  
        -7       -6      -28        0       56        0  
         0        0        0       -0        0       39  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 86.778 GPaEV = 118.29 GPaGV = 46.467 GPaνV = 0.27282
ReussKR = 65.177 GPaER = 97.608 GPaGR = 39.031 GPaνR = 0.2504
HillKH = 75.977 GPaEH = 107.99 GPaGH = 42.749 GPaνH = 0.2631

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
32.353 GPa 39 GPa 45 GPa 76.545 GPa 116.2 GPa 275.9 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 46.102 GPa 166.15 GPa-0.53414 TPa–1 12.386 TPa–1 22.802 GPa 60.764 GPa-0.0631750.87965Value
Anisotropy 3.604 2.665Anisotropy
Axis 0.2367
0.0000
0.9716
-0.7232
0.0000
0.6906
0.9688
-0.0000
-0.2478
0.2478
0.0000
0.9688
0.8498
0.0002
0.5271
-0.5236
0.7071
0.4753
-0.2654
0.5738
0.7748
0.9687
-0.0001
-0.2481
Axis
0.5271
0.0001
-0.8498
-0.5235
-0.7071
0.4753
-0.5552
0.5661
-0.6094
-0.2481
0.0000
-0.9687
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