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 ZnCu2GeS4 (Materials Project id mp-6408)

       101       58       56        0        0        0  
        58      101       56        0        0        0  
        56       56       99        0        0        0  
         0        0        0       47        0        0  
         0        0        0        0       47        0  
         0        0        0        0        0       46  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 71.222 GPaEV = 94.034 GPaGV = 36.733 GPaνV = 0.27995
ReussKR = 71.195 GPaER = 83.638 GPaGR = 32.065 GPaνR = 0.3042
HillKH = 71.209 GPaEH = 88.885 GPaGH = 34.399 GPaνH = 0.29196

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
43 GPa 44.312 GPa 46 GPa 47 GPa 47 GPa 213.69 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 59.328 GPa 114.89 GPa 4.5411 TPa–1 4.9636 TPa–1 21.99 GPa 47 GPa-0.0125870.57183Value
Anisotropy 1.937 1.0930 2.137Anisotropy
Axis 1.0000
0.0000
0.0000
0.5789
0.5789
-0.5743
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.7071
-0.0002
0.7071
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
0.7185
-0.0001
0.6955
Axis
0.7071
-0.0006
-0.7071
0.7660
0.6428
-0.0000
-0.7071
-0.0002
-0.7071
0.0001
1.0000
0.0001
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