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 Sn2S3 (Materials Project id mp-1509)

        20        8       15        0        0        0  
         8       18       11        0        0        0  
        15       11       77        0        0        0  
         0        0        0        9        0        0  
         0        0        0        0       19        0  
         0        0        0        0        0       10  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 20.333 GPaEV = 32.149 GPaGV = 13 GPaνV = 0.23649
ReussKR = 13.448 GPaER = 23.385 GPaGR = 9.6616 GPaνR = 0.21019
HillKH = 16.891 GPaEH = 27.78 GPaGH = 11.331 GPaνH = 0.22588

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
9 GPa 10 GPa 10.875 GPa 19 GPa 20.968 GPa 83.157 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 14.42 GPa 64.061 GPa 0.73832 TPa–1 40.291 TPa–1 5.4457 GPa 19 GPa-0.094420.61486Value
Anisotropy 4.443 54.5714 3.489Anisotropy
Axis 0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
-0.7071
0.7071
0.0000
0.0000
0.0000
1.0000
0.6744
-0.0001
-0.7383
0.0000
0.0000
1.0000
Axis
-0.7071
-0.7071
-0.0000
-1.0000
0.0000
0.0000
-0.7383
0.0003
-0.6744
1.0000
0.0000
-0.0000
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