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 La3InC (Materials Project id mp-29056)

        90       -2       -2        0        0        0  
        -2       90       -2        0        0        0  
        -2       -2       90        0        0        0  
         0        0        0       36        0        0  
         0        0        0        0       36        0  
         0        0        0        0        0       36  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 28.667 GPaEV = 81.905 GPaGV = 40 GPaνV = 0.02381
ReussKR = 28.667 GPaER = 81.103 GPaGR = 39.429 GPaνR = 0.028474
HillKH = 28.667 GPaEH = 81.505 GPaGH = 39.714 GPaνH = 0.026136

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
36 GPa 36 GPa 36 GPa 86 GPa 92 GPa 92 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 76.131 GPa 89.909 GPa 11.628 TPa–1 11.628 TPa–1 36 GPa 46 GPa-0.0227270.0995Value
Anisotropy 1.181 1.0000 1.278Anisotropy
Axis 0.5774
0.5773
-0.5774
1.0000
0.0000
0.0000
0.9739
0.0000
0.2271
-0.1206
0.9160
0.3827
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
-0.0000
-0.0000
1.0000
0.7071
-0.0000
-0.7071
Axis
1.0000
0.0000
-0.0000
-0.7071
-0.0002
-0.7071
1.0000
0.0002
0.0000
-0.7071
0.0002
-0.7071
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