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 BAsO4 (Materials Project id mp-3277)

       105      -16       38        0        0       -1  
       -16      105       38        0        0        1  
        38       38       99        0        0        0  
         0        0        0       51        0        0  
         0        0        0        0       51        0  
        -1        1        0        0        0       37  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 47.667 GPaEV = 101.64 GPaGV = 44.4 GPaνV = 0.14461
ReussKR = 43.874 GPaER = 88.723 GPaGR = 38.145 GPaνR = 0.16296
HillKH = 45.77 GPaEH = 95.202 GPaGH = 41.273 GPaνH = 0.15333

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
36.976 GPa 40.028 GPa 51 GPa 51 GPa 121.02 GPa 147.97 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 66.13 GPa 117.72 GPa 2.1948 TPa–1 10.299 TPa–1 23.267 GPa 60.542 GPa-0.33860.5138Value
Anisotropy 1.78 4.6923 2.602Anisotropy
Axis -0.6919
0.7220
-0.0000
0.7490
-0.0159
0.6624
0.0000
0.0000
1.0000
-0.2143
0.9768
0.0000
0.5106
0.4891
-0.7071
0.7219
0.6920
-0.0000
0.9998
-0.0212
-0.0000
0.9998
-0.0212
-0.0000
Axis
-0.5103
-0.4894
-0.7071
-0.6920
0.7219
0.0000
0.0212
0.9998
0.0001
-0.0000
0.0000
-1.0000
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