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 RbWO3 (Materials Project id mp-975138)

       321      102      102        0        0        0  
       102      321      102        0        0        0  
       102      102      321        0        0        0  
         0        0        0      123        0        0  
         0        0        0        0      122        0  
         0        0        0        0        0      121  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 175 GPaEV = 287.03 GPaGV = 117 GPaνV = 0.22664
ReussKR = 175 GPaER = 286.37 GPaGR = 116.67 GPaνR = 0.22727
HillKH = 175 GPaEH = 286.7 GPaGH = 116.83 GPaνH = 0.22695

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
121 GPa 122 GPa 123 GPa 219 GPa 219 GPa 525 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 271.81 GPa 297.02 GPa 1.9048 TPa–1 1.9048 TPa–1 109.5 GPa 123 GPa0.185670.25876Value
Anisotropy 1.093 1.0000 1.123 1.3937Anisotropy
Axis 0.0000
0.0000
1.0000
0.5551
0.5792
0.5970
0.1294
0.0170
0.9914
0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
0.0000
-0.0000
1.0000
-0.0000
0.7071
0.7071
0.0000
0.7071
-0.7071
Axis
0.7071
-0.0005
-0.7071
-0.0000
-1.0000
-0.0000
0.0000
-0.7071
0.7071
-1.0000
0.0000
0.0000
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