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 Sr(BIr)2 (Materials Project id mp-6939)

       279       99      120        0        0        0  
        99      268      154        0        0        0  
       120      154      215        0        0        0  
         0        0        0       94        0        0  
         0        0        0        0       82        0  
         0        0        0        0        0       74  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 167.56 GPaEV = 197.9 GPaGV = 75.933 GPaνV = 0.30315
ReussKR = 166.9 GPaER = 181.3 GPaGR = 68.728 GPaνR = 0.31896
HillKH = 167.23 GPaEH = 189.65 GPaGH = 72.331 GPaνH = 0.31099

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
74 GPa 79.049 GPa 82 GPa 94 GPa 179.82 GPa 503.13 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 110.08 GPa 237.25 GPa 1.6351 TPa–1 2.373 TPa–1 41.405 GPa 94 GPa0.0615330.68193Value
Anisotropy 2.155 1.4513 2.27 11.0824Anisotropy
Axis 0.0000
0.0000
1.0000
0.0000
0.7748
0.6322
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
-0.0004
0.7071
0.7071
0.0001
0.0002
1.0000
0.0000
1.0000
0.0000
0.0001
1.0000
-0.0000
Axis
0.0004
0.7071
-0.7071
0.0000
1.0000
-0.0002
-1.0000
0.0000
-0.0000
-0.0003
-0.0000
-1.0000
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