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 SrYSi4N7 (Materials Project id mp-6606)

       302      107       99        0        0        0  
       107      302       99        0        0        0  
        99       99      319        0        0        0  
         0        0        0      102        0        0  
         0        0        0        0      102        0  
         0        0        0        0        0       98  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 170.33 GPaEV = 254.25 GPaGV = 101.6 GPaνV = 0.25122
ReussKR = 170.31 GPaER = 253.92 GPaGR = 101.45 GPaνR = 0.2515
HillKH = 170.32 GPaEH = 254.09 GPaGH = 101.52 GPaνH = 0.25136

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
98 GPa 102 GPa 102 GPa 195 GPa 216.94 GPa 511.06 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 249.82 GPa 271.07 GPa 1.9031 TPa–1 1.9843 TPa–1 97.5 GPa 105.66 GPa0.223080.28117Value
Anisotropy 1.085 1.0427 1.084 1.2604Anisotropy
Axis 0.9903
0.0000
0.1387
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
-0.7071
0.7071
0.0000
0.4998
0.5002
0.7071
1.0000
-0.0004
-0.0000
1.0000
-0.0002
-0.0000
Axis
-0.7071
-0.7071
-0.0000
0.5003
0.4997
-0.7071
-0.0000
-0.0003
-1.0000
0.0002
1.0000
-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