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 TaSb2 (Materials Project id mp-11697)

       219       69       52        0      -21        0  
        69      157       50        0       12        0  
        52       50      209        0        1        0  
         0        0        0       82        0       20  
       -21       12        1        0       77        0  
         0        0        0       20        0       80  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 103 GPaEV = 181.83 GPaGV = 75.4 GPaνV = 0.20578
ReussKR = 101.03 GPaER = 170.46 GPaGR = 69.932 GPaνR = 0.21879
HillKH = 102.02 GPaEH = 176.17 GPaGH = 72.666 GPaνH = 0.21219

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
60.975 GPa 66.329 GPa 101.02 GPa 118.26 GPa 164.62 GPa 312.79 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 125.38 GPa 218.88 GPa 2.4645 TPa–1 4.287 TPa–1 47.905 GPa 101.02 GPa0.0416730.41979Value
Anisotropy 1.746 1.7395 2.109 10.0735Anisotropy
Axis 0.0000
1.0000
0.0000
0.8781
-0.0000
-0.4785
0.9996
-0.0000
0.0269
0.0000
1.0000
0.0000
0.6118
0.7071
0.3546
0.6892
-0.0004
0.7245
-0.5386
0.7124
-0.4498
-0.9934
-0.0000
-0.1150
Axis
-0.6118
0.7071
-0.3546
-0.0002
1.0000
0.0007
-0.4656
-0.6966
-0.5459
0.0000
-1.0000
-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