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 SrTaNO2 (Materials Project id mp-552454)

       293       90      104        0        0        0  
        90      293      104        0        0        0  
       104      104      439        0        0        0  
         0        0        0      115        0        0  
         0        0        0        0      115        0  
         0        0        0        0        0      130  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 180.11 GPaEV = 295.52 GPaGV = 120.47 GPaνV = 0.22654
ReussKR = 173.38 GPaER = 288.88 GPaGR = 118.17 GPaνR = 0.22231
HillKH = 176.74 GPaEH = 292.2 GPaGH = 119.32 GPaνH = 0.22446

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
115 GPa 115 GPa 130 GPa 203 GPa 261.28 GPa 560.72 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 252.44 GPa 382.52 GPa 1.1945 TPa–1 2.2866 TPa–1 101.5 GPa 134.13 GPa0.124170.31208Value
Anisotropy 1.515 1.9143 1.322 2.5132Anisotropy
Axis 1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
-0.7071
0.7071
0.0000
0.4999
0.5001
0.7071
0.7071
0.7071
-0.0001
0.4198
0.4197
0.8047
Axis
-0.7071
-0.7071
-0.0000
0.5000
0.4999
-0.7071
-0.7071
0.7071
0.0000
0.5689
0.5692
-0.5936
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