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 Tl3VS4 (Materials Project id mp-5513)

        48       14       14        0        0        0  
        14       48       14        0        0        0  
        14       14       48        0        0        0  
         0        0        0        3        0        0  
         0        0        0        0        3        0  
         0        0        0        0        0        3  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 25.333 GPaEV = 23.177 GPaGV = 8.6 GPaνV = 0.34752
ReussKR = 25.333 GPaER = 12.675 GPaGR = 4.4737 GPaνR = 0.41661
HillKH = 25.333 GPaEH = 18.057 GPaGH = 6.5368 GPaνH = 0.3812

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
3 GPa 3 GPa 3 GPa 34 GPa 34 GPa 76 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 8.6582 GPa 41.677 GPa 13.158 TPa–1 13.158 TPa–1 3 GPa 17 GPa0.0584960.79944Value
Anisotropy 4.814 1.0000 5.667 13.6667Anisotropy
Axis 0.5774
0.5774
0.5773
1.0000
0.0000
0.0000
0.8660
0.0000
0.5000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
-0.7071
-0.0000
0.7071
0.7071
-0.0000
-0.7071
Axis
0.1735
0.9848
-0.0000
-0.7071
-0.0002
-0.7071
0.0000
-1.0000
-0.0000
-0.7071
0.0002
-0.7071
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