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 NiSb2 (Materials Project id mp-19895)

       120       59       80        0        0        0  
        59      182       42        0        0        0  
        80       42      127        0        0        0  
         0        0        0       33        0        0  
         0        0        0        0       49        0  
         0        0        0        0        0       62  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 87.889 GPaEV = 116.05 GPaGV = 45.333 GPaνV = 0.27994
ReussKR = 87.318 GPaER = 99.912 GPaGR = 38.155 GPaνR = 0.30929
HillKH = 87.603 GPaEH = 108.07 GPaGH = 41.744 GPaνH = 0.2944

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
33 GPa 41.732 GPa 49 GPa 62 GPa 122.17 GPa 265.09 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 63.306 GPa 157.49 GPa 3.2458 TPa–1 4.4074 TPa–1 21.161 GPa 62 GPa-0.00320710.6581Value
Anisotropy 2.488 1.3579 2.93Anisotropy
Axis 1.0000
0.0000
0.0000
-0.3528
0.9357
-0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
0.7071
-0.0000
-0.7071
1.0000
-0.0002
0.0000
-0.7063
0.6955
0.1321
0.0000
0.0000
1.0000
Axis
-0.7071
0.0002
-0.7071
0.0002
1.0000
0.0000
-0.7079
-0.6938
-0.1324
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