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 NbSn2 (Materials Project id mp-1046)

       171       60       70        0        0        0  
        60      176       49        0        0        0  
        70       49      161        0        0        0  
         0        0        0       50        0        0  
         0        0        0        0       53        0  
         0        0        0        0        0       35  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 96.222 GPaEV = 126.84 GPaGV = 49.533 GPaνV = 0.28031
ReussKR = 95.944 GPaER = 122.99 GPaGR = 47.807 GPaνR = 0.28635
HillKH = 96.083 GPaEH = 124.92 GPaGH = 48.67 GPaνH = 0.28332

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
35 GPa 50 GPa 53 GPa 95.165 GPa 123.75 GPa 289.08 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 101.87 GPa 150.43 GPa 3.0328 TPa–1 3.8 TPa–1 35 GPa 59.659 GPa0.157720.45947Value
Anisotropy 1.477 1.2530 1.705 2.9132Anisotropy
Axis 0.7386
0.6741
-0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
1.0000
-0.0001
-0.0000
0.3503
0.7071
0.6142
-0.0000
0.0000
1.0000
-0.6792
0.7340
0.0000
Axis
0.0001
1.0000
0.0000
-0.3503
0.7071
-0.6142
-0.0000
-1.0000
0.0000
-0.7340
-0.6792
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