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 CdBr2 (Materials Project id mp-27934)

        35       14        4        0        0        0  
        14       35        4        0        0        0  
         4        4        8        0        0        0  
         0        0        0        1        0        0  
         0        0        0        0        1        0  
         0        0        0        0        0       11  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 13.556 GPaEV = 16.44 GPaGV = 6.3333 GPaνV = 0.29787
ReussKR = 7.3469 GPaER = 5.6841 GPaGR = 2.0729 GPaνR = 0.37105
HillKH = 10.451 GPaEH = 11.119 GPaGH = 4.2031 GPaνH = 0.32269

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
1 GPa 1 GPa 7.2338 GPa 11 GPa 21 GPa 49.766 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 3.4438 GPa 29.552 GPa 11.111 TPa–1 113.89 TPa–1 1 GPa 11 GPa0.0390450.77208Value
Anisotropy 8.581 10.2500 11 19.7741Anisotropy
Axis 0.6613
0.0000
-0.7501
0.7071
0.7071
0.0000
0.2588
0.9659
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0007
0.0000
0.4630
0.4630
0.7558
-0.5977
0.5977
0.5344
Axis
1.0000
0.0000
-0.0000
-0.0007
1.0000
0.0000
-0.7071
0.7071
0.0000
-0.3780
0.3777
-0.8452
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