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 LiInSe2 (Materials Project id mp-20310)

        53       23       18        0        0        0  
        23       45       18        0        0        0  
        18       18       57        0        0        0  
         0        0        0       13        0        0  
         0        0        0        0       11        0  
         0        0        0        0        0       14  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 30.333 GPaEV = 36.4 GPaGV = 14 GPaνV = 0.3
ReussKR = 30.171 GPaER = 35.28 GPaGR = 13.516 GPaνR = 0.30511
HillKH = 30.252 GPaEH = 35.841 GPaGH = 13.758 GPaνH = 0.30254

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
11 GPa 13 GPa 14 GPa 25.387 GPa 38.417 GPa 91.195 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 31.107 GPa 47.922 GPa 9.6465 TPa–1 13.154 TPa–1 11 GPa 18.193 GPa0.176710.42095Value
Anisotropy 1.541 1.3636 1.654 2.3822Anisotropy
Axis 0.7485
0.0000
0.6631
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
1.0000
0.0002
0.0000
0.6755
0.0001
-0.7374
Axis
1.0000
0.0000
-0.0000
-0.7071
-0.0002
-0.7071
-0.0000
0.0002
-1.0000
-0.7374
-0.0002
-0.6755
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