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 AgH4WS4N (Materials Project id mp-643431)

        64        3        3        0        0        0  
         3       14       -0       -0        0        0  
         3       -0       14        0        0        0  
         0       -0        0        5        0        0  
         0        0        0        0        9        0  
         0        0        0        0        0        9  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 11.556 GPaEV = 23.881 GPaGV = 10.333 GPaνV = 0.15556
ReussKR = 6.7538 GPaER = 16.838 GPaGR = 7.7634 GPaνR = 0.084473
HillKH = 9.1547 GPaEH = 20.418 GPaGH = 9.0484 GPaνH = 0.12828

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
5 GPa 9 GPa 9 GPa 13.643 GPa 14 GPa 64.357 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 11.568 GPa 62.714 GPa 9.1116 TPa–1 69.476 TPa–1 5 GPa 10.533 GPa-0.0101470.21477Value
Anisotropy 5.421 7.6250 2.107Anisotropy
Axis 0.0000
0.7071
0.7071
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
-0.0003
-0.0000
1.0000
0.7071
0.0002
0.7071
-0.0002
0.0001
1.0000
0.9876
-0.0000
-0.1568
Axis
0.0000
1.0000
0.0000
0.7071
-0.0002
-0.7071
-0.0000
-1.0000
0.0001
-0.1568
0.0001
-0.9876
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