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 U2SeN2 (Materials Project id mp-3048)

       230      111       70       -9        0        0  
       111      230       70        9        0        0  
        70       70      189        0        0        0  
        -9        9        0       81        0        0  
         0        0        0        0       81       -9  
         0        0        0        0       -9       60  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 127.89 GPaEV = 179.6 GPaGV = 70.933 GPaνV = 0.26595
ReussKR = 124.49 GPaER = 173.24 GPaGR = 68.31 GPaνR = 0.26806
HillKH = 126.19 GPaEH = 176.42 GPaGH = 69.622 GPaνH = 0.26699

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
56.671 GPa 77.131 GPa 84.329 GPa 122.87 GPa 140.2 GPa 389.8 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 157.79 GPa 200.94 GPa 2.1775 TPa–1 3.678 TPa–1 56.311 GPa 84.329 GPa0.106070.45027Value
Anisotropy 1.273 1.6891 1.498 4.2449Anisotropy
Axis -0.0000
0.9435
-0.3313
-0.7033
0.4104
-0.5804
0.9914
0.1305
0.0000
0.0000
0.0000
1.0000
-0.7841
0.5249
-0.3311
-0.0000
0.3469
-0.9379
0.0002
0.5745
-0.8185
1.0000
0.0006
0.0001
Axis
-0.5754
-0.8148
0.0706
-1.0000
0.0000
0.0000
0.0001
-0.8185
-0.5745
-0.0006
0.9485
-0.3168
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