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 TaSi2 (Materials Project id mp-11192)

       356       79       86        0        0        0  
        79      356       86        0        0        0  
        86       86      455        0        0        0  
         0        0        0      135        0        0  
         0        0        0        0      135        0  
         0        0        0        0        0      139  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 185.44 GPaEV = 341.02 GPaGV = 142.87 GPaνV = 0.19351
ReussKR = 182.95 GPaER = 337.72 GPaGR = 141.62 GPaνR = 0.19233
HillKH = 184.2 GPaEH = 339.37 GPaGH = 142.24 GPaνH = 0.19292

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
135 GPa 135 GPa 139 GPa 277 GPa 322.97 GPa 567.03 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 324.6 GPa 421 GPa 1.4361 TPa–1 2.0149 TPa–1 135 GPa 157.35 GPa0.15410.24952Value
Anisotropy 1.297 1.4030 1.166 1.6192Anisotropy
Axis 0.0000
0.9063
0.4227
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.3827
0.9239
0.0000
0.0000
0.0000
1.0000
0.5000
0.5000
0.7071
1.0000
-0.0004
-0.0000
-0.4443
0.4444
-0.7779
Axis
0.1736
0.9848
-0.0000
0.5000
0.5000
-0.7071
-0.0000
-0.0003
-1.0000
-0.5500
0.5501
0.6284
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