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-743)

        33       13        9        0        0        0  
        13       33        9        0        0        0  
         9        9       28        0        0        0  
         0        0        0        7        0        0  
         0        0        0        0        7        0  
         0        0        0        0        0       13  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 17.333 GPaEV = 24.312 GPaGV = 9.6 GPaνV = 0.26623
ReussKR = 17.061 GPaER = 22.982 GPaGR = 9.009 GPaνR = 0.27549
HillKH = 17.197 GPaEH = 23.648 GPaGH = 9.3045 GPaνH = 0.27081

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
7 GPa 7 GPa 13 GPa 20 GPa 21.412 GPa 52.588 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 19.474 GPa 31.581 GPa 16.874 TPa–1 24.867 TPa–1 7 GPa 13 GPa0.148340.43557Value
Anisotropy 1.622 1.4737 1.857 2.9363Anisotropy
Axis 0.6818
-0.0000
0.7316
0.7071
0.7071
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
-0.0000
-0.0000
1.0000
1.0000
0.0007
0.0000
0.4947
0.4947
0.7145
-0.5316
0.5316
-0.6594
Axis
1.0000
0.0002
0.0000
-0.0007
1.0000
0.0000
-0.7071
0.7071
-0.0000
-0.4663
0.4662
0.7518
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