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-2285)

       154       65       55       41        0        0  
        65      154       55      -41        0        0  
        55       55      111        0        0        0  
        41      -41        0       59        0        0  
         0        0        0        0       59       41  
         0        0        0        0       41       45  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 85.444 GPaEV = 123.13 GPaGV = 48.867 GPaνV = 0.25983
ReussKR = 82.62 GPaER = 56.688 GPaGR = 20.455 GPaνR = 0.38565
HillKH = 84.032 GPaEH = 91.414 GPaGH = 34.661 GPaνH = 0.31869

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
10.407 GPa 14.108 GPa 70.311 GPa 93.593 GPa 133.89 GPa 259.69 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 30.256 GPa 206.76 GPa 3.067 TPa–1 5.9697 TPa–1 10.185 GPa 93.438 GPa-0.443221.0535Value
Anisotropy 6.834 1.9464 9.175Anisotropy
Axis 0.0000
0.8708
0.4917
-0.7445
0.4307
0.5101
0.9250
0.3800
0.0000
0.0000
0.0000
1.0000
-0.6617
0.3859
0.6429
-0.5573
0.3211
-0.7657
0.0000
0.6653
-0.7466
-1.0000
-0.0000
0.0000
Axis
-0.5089
-0.8608
-0.0071
-0.4992
-0.8665
-0.0000
-1.0000
-0.0000
-0.0000
0.0000
-0.8376
-0.5463
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