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 SrN2 (Materials Project id mp-10564)

       104       51       -6        0        0        0  
        51      104       -6        0        0        0  
        -6       -6      262        0        0        0  
         0        0        0       15        0        0  
         0        0        0        0       15        0  
         0        0        0        0        0       54  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 60.889 GPaEV = 109.34 GPaGV = 45.533 GPaνV = 0.2007
ReussKR = 57.664 GPaER = 65.933 GPaGR = 25.176 GPaνR = 0.30943
HillKH = 59.277 GPaEH = 88.475 GPaGH = 35.355 GPaνH = 0.25124

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
15 GPa 15 GPa 53 GPa 54 GPa 154.33 GPa 262.67 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 47.058 GPa 261.54 GPa 4.1196 TPa–1 6.6111 TPa–1 15 GPa 87.806 GPa-0.038710.70151Value
Anisotropy 5.558 1.6048 5.854Anisotropy
Axis 0.7665
0.0000
0.6422
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
-0.1305
0.9914
0.0000
0.0000
0.0000
1.0000
0.5000
0.5000
-0.7071
0.0000
0.0000
-1.0000
0.4551
0.4550
-0.7654
Axis
0.1736
0.9848
-0.0000
-0.5000
-0.5000
-0.7071
0.5000
0.8660
0.0000
0.5412
0.5412
0.6436
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