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 YZnAsO (Materials Project id mp-546011)

       178       35       39        0        0        0  
        35      178       39        0        0        0  
        39       39      108        0        0        0  
         0        0        0       18        0        0  
         0        0        0        0       18        0  
         0        0        0        0        0       41  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 76.667 GPaEV = 99.598 GPaGV = 38.8 GPaνV = 0.28348
ReussKR = 73.121 GPaER = 76.795 GPaGR = 28.98 GPaνR = 0.32496
HillKH = 74.894 GPaEH = 88.345 GPaGH = 33.89 GPaνH = 0.3034

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
18 GPa 18 GPa 41 GPa 84.354 GPa 143 GPa 236.65 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 56.157 GPa 161.25 GPa 3.4566 TPa–1 6.7628 TPa–1 18 GPa 71.5 GPa0.0764250.63061Value
Anisotropy 2.871 1.9565 3.972 8.2513Anisotropy
Axis -0.4853
0.4853
0.7273
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.7071
0.7071
0.0000
-0.8089
-0.0000
0.5879
0.7808
0.0002
0.6248
Axis
1.0000
0.0000
-0.0000
-0.7071
0.7071
-0.0000
0.0000
-1.0000
-0.0000
0.6248
0.0003
-0.7808
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