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 AgAuO2 (Materials Project id mp-996980)

       130       73       86        0        0        0  
        73      188       68        0        0        0  
        86       68       88        0        0        0  
         0        0        0       27        0        0  
         0        0        0        0       47        0  
         0        0        0        0        0        2  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 95.556 GPaEV = 74.362 GPaGV = 27.133 GPaνV = 0.3703
ReussKR = 85.121 GPaER = 21.459 GPaGR = 7.3591 GPaνR = 0.45798
HillKH = 90.338 GPaEH = 48.643 GPaGH = 17.246 GPaνH = 0.41026

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
2 GPa 19.846 GPa 27 GPa 47 GPa 93.742 GPa 292.41 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 7.5804 GPa 134.52 GPa 0.25735 TPa–1 9.8252 TPa–1 2 GPa 47 GPa-0.920111.6547Value
Anisotropy 17.75 38.1786 23.5Anisotropy
Axis 0.7179
0.6961
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
1.0000
-0.0001
0.0000
-0.0000
0.0000
1.0000
0.6512
0.1982
0.7326
-0.6315
0.2556
-0.7321
Axis
0.0001
1.0000
0.0000
-1.0000
0.0000
-0.0000
0.4974
0.6177
-0.6092
-0.5985
-0.7610
0.2505
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