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 NbS2 (Materials Project id mp-966)

       143       49       -2        0        0        0  
        49      143       -2       -0        0        0  
        -2       -2        5        0        0        0  
         0       -0        0        1        0        0  
         0        0        0        0        1        0  
         0        0        0        0        0       47  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 42.333 GPaEV = 65.158 GPaGV = 26.2 GPaνV = 0.24347
ReussKR = 4.5333 GPaER = 5.6033 GPaGR = 2.1651 GPaνR = 0.294
HillKH = 23.433 GPaEH = 35.405 GPaGH = 14.183 GPaνH = 0.24819

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
1 GPa 1 GPa 4.9572 GPa 47 GPa 94 GPa 192.04 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 3.1719 GPa 125.86 GPa 7.3529 TPa–1 205.88 TPa–1 1 GPa 47 GPa-0.0104170.7195Value
Anisotropy 39.68 28.0000 47Anisotropy
Axis 0.5558
0.2630
0.7886
0.6088
0.7934
0.0000
0.9239
0.3827
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.7139
0.7003
0.0000
0.0000
0.0000
1.0000
-0.4035
0.8062
0.4328
Axis
1.0000
0.0000
-0.0000
-0.7003
0.7139
0.0000
1.0000
0.0002
-0.0000
-0.1935
0.3871
-0.9015
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