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 DyCuSeO (Materials Project id mp-9304)

       188       61       62        0        0        0  
        61      188       62        0        0        0  
        62       62      107        0        0        0  
         0        0        0       29        0        0  
         0        0        0        0       29        0  
         0        0        0        0        0       47  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 94.778 GPaEV = 107.19 GPaGV = 40.867 GPaνV = 0.3115
ReussKR = 88.163 GPaER = 96.84 GPaGR = 36.767 GPaνR = 0.31693
HillKH = 91.47 GPaEH = 102.02 GPaGH = 38.817 GPaνH = 0.31411

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
29 GPa 29 GPa 47 GPa 65.177 GPa 127 GPa 290.82 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 75.524 GPa 147.94 GPa 2.374 TPa–1 6.5946 TPa–1 29 GPa 63.5 GPa0.163710.49205Value
Anisotropy 1.959 2.7778 2.19 3.0056Anisotropy
Axis 0.2502
0.2502
0.9353
1.0000
0.0000
0.0000
0.2588
0.9659
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
-0.7071
0.7071
0.0000
0.9604
0.0003
0.2787
0.9402
0.0002
0.3407
Axis
1.0000
0.0000
-0.0000
-0.7071
-0.7071
-0.0000
-0.0003
1.0000
-0.0001
0.3407
0.0003
-0.9402
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