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 DyAu (Materials Project id mp-1007918)

       124       80       68        0        0        0  
        80      129       74        0        0        0  
        68       74      101        0        0        0  
         0        0        0        4        0        0  
         0        0        0        0       46        0  
         0        0        0        0        0       28  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 88.667 GPaEV = 67.05 GPaGV = 24.4 GPaνV = 0.37397
ReussKR = 86.342 GPaER = 35.759 GPaGR = 12.495 GPaνR = 0.43097
HillKH = 87.504 GPaEH = 51.708 GPaGH = 18.447 GPaνH = 0.40151

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
4 GPa 28 GPa 39.534 GPa 46 GPa 47.209 GPa 267.26 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 14.806 GPa 90.935 GPa 2.2374 TPa–1 6.0305 TPa–1 4 GPa 46 GPa-0.510161.311Value
Anisotropy 6.142 2.6953 11.5Anisotropy
Axis -0.0000
0.7011
0.7131
0.7649
-0.0000
0.6442
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
-0.0003
-0.0000
1.0000
-0.0000
0.0000
1.0000
0.7881
0.3460
0.5091
-0.7741
0.4235
0.4706
Axis
0.0000
1.0000
0.0000
-1.0000
0.0000
-0.0000
-0.6113
0.5373
0.5810
0.0032
-0.7406
0.6719
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