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 Y2GeRh3 (Materials Project id mp-10214)

       237       88      101        4        0        0  
        88      237      101       -4        0        0  
       101      101      253        0        0        0  
         4       -4        0       29        0        0  
         0        0        0        0       29        4  
         0        0        0        0        4       74  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 145.22 GPaEV = 147.76 GPaGV = 55.533 GPaνV = 0.33042
ReussKR = 144.78 GPaER = 122.72 GPaGR = 45.161 GPaνR = 0.35873
HillKH = 145 GPaEH = 135.37 GPaGH = 50.347 GPaνH = 0.3444

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
28.647 GPa 28.734 GPa 74.353 GPa 141.7 GPa 149.27 GPa 436.3 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 90.686 GPa 190.22 GPa 1.9896 TPa–1 2.4586 TPa–1 28.647 GPa 74.849 GPa0.100630.67873Value
Anisotropy 2.098 1.2358 2.613 6.7450Anisotropy
Axis -0.6270
0.3643
-0.6886
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
-0.1200
0.9928
0.0000
-0.0000
-0.0879
0.9961
0.7071
0.7044
-0.0617
-0.0000
0.7335
-0.6797
0.0001
0.6868
-0.7268
Axis
1.0000
0.0000
0.0000
-0.7071
0.7044
-0.0617
-1.0000
-0.0000
0.0000
0.0001
-0.7268
-0.6868
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