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-517)

       359       81       87        0        0        0  
        81      359       87        0        0        0  
        87       87      446        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 = 186 GPaEV = 340.34 GPaGV = 142.4 GPaνV = 0.19503
ReussKR = 184.05 GPaER = 337.68 GPaGR = 141.38 GPaνR = 0.19421
HillKH = 185.02 GPaEH = 339.01 GPaGH = 141.89 GPaνH = 0.19462

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
135 GPa 135 GPa 139 GPa 278 GPa 319.93 GPa 566.07 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 325.97 GPa 411.6 GPa 1.4688 TPa–1 1.9823 TPa–1 135 GPa 155.76 GPa0.158550.24678Value
Anisotropy 1.263 1.3496 1.154 1.5565Anisotropy
Axis 0.6800
0.5845
0.4426
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.3077
0.6367
0.7071
0.4533
0.8913
-0.0000
0.5934
0.2197
-0.7743
Axis
0.1736
0.9848
-0.0000
0.3077
0.6367
-0.7071
-0.0000
0.0000
-1.0000
-0.7262
-0.2689
-0.6328
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