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 LiNiS2 (Materials Project id mp-754727)

        85       41       44        0        1        0  
        41      132       47        0        3        0  
        44       47      135        0       -4        0  
         0        0        0       43        0        4  
         1        3       -4        0       27        0  
         0        0        0        4        0       26  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 68.444 GPaEV = 87.215 GPaGV = 33.867 GPaνV = 0.28763
ReussKR = 64.95 GPaER = 81.439 GPaGR = 31.541 GPaνR = 0.29102
HillKH = 66.697 GPaEH = 84.328 GPaGH = 32.704 GPaνH = 0.28928

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
25.106 GPa 26.533 GPa 43.894 GPa 56.002 GPa 86.91 GPa 209.56 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 63.277 GPa 108.49 GPa 3.4057 TPa–1 8.1559 TPa–1 25.106 GPa 43.966 GPa0.155680.44222Value
Anisotropy 1.715 2.3948 1.751 2.8406Anisotropy
Axis -0.8944
0.3823
0.2322
-0.1488
-0.0000
0.9889
0.0235
-0.0000
0.9997
0.9997
0.0000
-0.0235
-0.9759
0.0000
0.2181
-0.1424
0.7071
0.6926
0.6570
0.6380
0.4017
-0.0542
0.4591
-0.8867
Axis
-0.0000
-1.0000
-0.0000
-0.1424
-0.7071
0.6926
0.0225
0.5160
-0.8563
-0.9101
0.3426
0.2330
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