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 LiNbS2 (Materials Project id mp-7936)

       189       52       36        0        0        0  
        52      189       36        0        0        0  
        36       36      132        0        0        0  
         0        0        0       46        0        0  
         0        0        0        0       46        0  
         0        0        0        0        0       69  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 84.222 GPaEV = 141.38 GPaGV = 57.933 GPaνV = 0.22022
ReussKR = 80.942 GPaER = 135.8 GPaGR = 55.64 GPaνR = 0.22037
HillKH = 82.582 GPaEH = 138.59 GPaGH = 56.787 GPaνH = 0.22029

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
46 GPa 46 GPa 69 GPa 111.92 GPa 137 GPa 261.08 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 115.94 GPa 170.01 GPa 3.2854 TPa–1 5.7837 TPa–1 46 GPa 69 GPa0.146350.30595Value
Anisotropy 1.466 1.7604 1.5 2.0906Anisotropy
Axis 0.5210
0.0000
0.8535
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
-0.0002
0.0000
0.3018
0.3018
-0.9043
-0.5483
0.5484
0.6314
Axis
0.1734
0.9849
-0.0000
0.0002
1.0000
0.0000
-0.7071
0.7071
-0.0000
-0.4465
0.4464
-0.7755
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