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 Li(NiS)2 (Materials Project id mp-755570)

       120       60       51        4        0        0  
        60      120       51       -4        0        0  
        51       51       79        0        0        0  
         4       -4        0       14        0        0  
         0        0        0        0       14        4  
         0        0        0        0        4       30  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 71.444 GPaEV = 60.021 GPaGV = 22.067 GPaνV = 0.35998
ReussKR = 67.299 GPaER = 51.702 GPaGR = 18.843 GPaνR = 0.37196
HillKH = 69.371 GPaEH = 55.872 GPaGH = 20.455 GPaνH = 0.36577

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
13.056 GPa 13.315 GPa 30.944 GPa 41.453 GPa 60.685 GPa 217.55 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 37.749 GPa 80.625 GPa 3.1049 TPa–1 8.6494 TPa–1 13.056 GPa 30.944 GPa0.115940.61537Value
Anisotropy 2.136 2.7857 2.37 5.3079Anisotropy
Axis 0.0000
0.6867
0.7270
-0.8589
0.4959
0.1279
-0.1305
0.9914
0.0000
0.0000
0.0000
1.0000
0.1990
0.1149
0.9732
-0.0000
0.9733
0.2297
-0.6122
0.3535
0.7073
0.6615
0.3817
0.6456
Axis
-0.5000
0.8660
0.0000
-1.0000
-0.0000
0.0000
-0.5000
-0.8660
0.0000
0.5586
0.3237
-0.7637
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