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 SnS (Materials Project id mp-559676)

        82        3       37        0        0        0  
         3       35        6        0        0        0  
        37        6       81        0        0        0  
         0        0        0       12        0        0  
         0        0        0        0       53        0  
         0        0        0        0        0        2  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 32.222 GPaEV = 56.778 GPaGV = 23.533 GPaνV = 0.20632
ReussKR = 24.054 GPaER = 19.639 GPaGR = 7.1995 GPaνR = 0.36392
HillKH = 28.138 GPaEH = 39 GPaGH = 15.366 GPaνH = 0.269

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
2 GPa 12 GPa 34.073 GPa 44.943 GPa 53 GPa 118.98 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 7.3465 GPa 111.39 GPa 6.6024 TPa–1 26.733 TPa–1 2 GPa 53 GPa-0.856281.4257Value
Anisotropy 15.16 4.0490 26.5Anisotropy
Axis -0.6965
0.7176
-0.0000
0.7117
-0.0000
0.7025
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
1.0000
-0.0001
-0.0000
0.0000
0.0000
1.0000
0.6051
0.1799
0.7756
0.5672
0.2507
0.7845
Axis
0.0001
1.0000
0.0000
-1.0000
0.0000
0.0000
0.5365
0.6276
-0.5641
-0.6179
0.7593
0.2041
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