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 YbGa5Co (Materials Project id mp-20627)

       135       22       34        0        0        0  
        22      135       34        0        0        0  
        34       34      126        0        0        0  
         0        0        0       54        0        0  
         0        0        0        0       54        0  
         0        0        0        0        0       44  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 64 GPaEV = 120.51 GPaGV = 50.8 GPaνV = 0.18616
ReussKR = 63.993 GPaER = 119.53 GPaGR = 50.28 GPaνR = 0.18868
HillKH = 63.996 GPaEH = 120.02 GPaGH = 50.54 GPaνH = 0.18742

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
44 GPa 54 GPa 54 GPa 90.98 GPa 113 GPa 192.02 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 107.67 GPa 127.95 GPa 5.0944 TPa–1 5.2662 TPa–1 44 GPa 56.5 GPa0.101930.24459Value
Anisotropy 1.188 1.0337 1.284 2.3996Anisotropy
Axis 0.7071
0.7071
0.0000
0.8366
0.0000
0.5478
0.0000
0.0000
1.0000
0.3827
0.9239
0.0000
1.0000
-0.0002
-0.0000
0.7071
0.7071
-0.0000
-1.0000
-0.0000
0.0000
0.5154
0.5154
0.6847
Axis
0.0002
1.0000
-0.0000
-0.7071
0.7071
0.0000
0.0000
-1.0000
0.0000
-0.7071
0.7071
-0.0000
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