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 GeAs2 (Materials Project id mp-17524)

        21        4       17        0        0        0  
         4        9        9        0        0        0  
        17        9      107        0        0        0  
         0        0        0        6        0        0  
         0        0        0        0       27        0  
         0        0        0        0        0        8  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 21.889 GPaEV = 37.292 GPaGV = 15.333 GPaνV = 0.21605
ReussKR = 7.767 GPaER = 17.69 GPaGR = 7.8947 GPaνR = 0.12039
HillKH = 14.828 GPaEH = 27.629 GPaGH = 11.614 GPaνH = 0.18945

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
6 GPa 7.6076 GPa 8 GPa 18.253 GPa 27 GPa 111.14 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 7.882 GPa 89.221 GPa -4.2118 TPa–1 101.21 TPa–1 4.5525 GPa 27 GPa-0.195130.76703Value
Anisotropy 11.32 5.931Anisotropy
Axis 0.0000
1.0000
0.0000
0.0766
-0.0000
0.9971
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
-0.7071
0.7071
-0.0000
0.0000
0.0000
1.0000
0.6475
-0.0001
0.7620
0.3818
0.0003
-0.9242
Axis
-0.7071
-0.7071
-0.0000
-1.0000
0.0000
0.0000
0.7620
0.0000
-0.6475
0.0003
1.0000
0.0005
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