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 Sr7GeN6 (Materials Project id mp-568436)

        99       44       28        0        0        0  
        44      112       32        0        0        0  
        28       32      128        0        0        0  
         0        0        0       35        0        0  
         0        0        0        0       35        0  
         0        0        0        0        0       45  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 60.778 GPaEV = 95.704 GPaGV = 38.667 GPaνV = 0.23756
ReussKR = 60.456 GPaER = 93.369 GPaGR = 37.57 GPaνR = 0.2426
HillKH = 60.617 GPaEH = 94.539 GPaGH = 38.118 GPaνH = 0.24006

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
35 GPa 35 GPa 45 GPa 61.021 GPa 95.074 GPa 182.91 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 79.692 GPa 115.94 GPa 4.9156 TPa–1 6.4536 TPa–1 30.605 GPa 46.91 GPa0.129810.39838Value
Anisotropy 1.455 1.3129 1.533 3.0690Anisotropy
Axis 0.9864
0.0000
0.1644
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
1.0000
0.0000
0.0000
-0.7071
0.7071
0.0000
0.4767
0.5223
0.7071
1.0000
0.0002
-0.0000
0.0000
1.0000
-0.0000
Axis
-0.7071
-0.7071
0.0000
0.4769
0.5221
-0.7071
-0.0000
0.0000
-1.0000
-1.0000
0.0000
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