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 RbN3 (Materials Project id mp-581833)

        30        5        8        0        0        0  
         5       30        8        0        0        0  
         8        8       59        0        0        0  
         0        0        0        3        0        0  
         0        0        0        0        3        0  
         0        0        0        0        0        5  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 17.889 GPaEV = 22.533 GPaGV = 8.7333 GPaνV = 0.29006
ReussKR = 16.008 GPaER = 13.56 GPaGR = 4.9896 GPaνR = 0.35882
HillKH = 16.949 GPaEH = 18.137 GPaGH = 6.8615 GPaνH = 0.32165

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
3 GPa 3 GPa 5 GPa 25 GPa 30.508 GPa 63.492 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 9.5792 GPa 55.343 GPa 9.809 TPa–1 26.329 TPa–1 3 GPa 16.245 GPa0.047040.76928Value
Anisotropy 5.777 2.6842 5.415 16.3537Anisotropy
Axis 0.5466
0.5466
0.6344
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
0.7118
0.0004
-0.7024
0.6283
0.0001
-0.7780
Axis
0.1735
0.9848
-0.0000
-0.7071
-0.0002
-0.7071
-0.0004
1.0000
0.0001
-0.7780
-0.0001
-0.6283
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