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 GeSe2 (Materials Project id mp-10074)

        25       -7       11        0        0        0  
        -7       25       11        0        0        0  
        11       11       29        0        0        0  
         0        0        0       17        0        0  
         0        0        0        0       17        0  
         0        0        0        0        0       12  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 12.111 GPaEV = 29.475 GPaGV = 13.467 GPaνV = 0.094378
ReussKR = 8.75 GPaER = 21.024 GPaGR = 9.5602 GPaνR = 0.099549
HillKH = 10.431 GPaEH = 25.25 GPaGH = 11.513 GPaνH = 0.096541

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
7 GPa 12 GPa 17 GPa 17 GPa 32 GPa 40 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 13.77 GPa 35.751 GPa -14.286 TPa–1 64.286 TPa–1 4.6409 GPa 17 GPa-0.539260.63306Value
Anisotropy 2.596 3.663Anisotropy
Axis 0.7071
0.7071
0.0000
0.6998
0.0000
0.7144
0.0000
0.0000
1.0000
-0.1305
0.9914
0.0000
-0.5001
0.4999
-0.7071
0.0000
0.0000
1.0000
-0.9755
-0.0000
0.2200
0.2442
0.2442
0.9385
Axis
0.4999
-0.5001
-0.7071
0.7660
0.6428
-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