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 RbTiAsO5 (Materials Project id mp-6394)

       117       34       43        0        0        0  
        34      123       35        0        0        0  
        43       35      125        0        0        0  
         0        0        0       31        0        0  
         0        0        0        0       37        0  
         0        0        0        0        0       37  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 65.444 GPaEV = 95.233 GPaGV = 37.867 GPaνV = 0.25747
ReussKR = 65.354 GPaER = 94.004 GPaGR = 37.295 GPaνR = 0.26027
HillKH = 65.399 GPaEH = 94.619 GPaGH = 37.581 GPaνH = 0.25887

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
31 GPa 37 GPa 37 GPa 77.679 GPa 90.782 GPa 196.54 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 84.679 GPa 108.48 GPa 4.692 TPa–1 5.3378 TPa–1 31 GPa 44.313 GPa0.189690.36617Value
Anisotropy 1.281 1.1376 1.429 1.9303Anisotropy
Axis 0.0000
0.6949
0.7191
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
-0.0003
-0.0000
1.0000
-0.0002
0.7071
0.7071
-0.7659
-0.0000
0.6430
0.0003
0.7140
-0.7001
Axis
0.0000
1.0000
0.0000
0.0001
0.7071
-0.7071
0.0000
-1.0000
-0.0000
0.0002
-0.7001
-0.7140
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