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 Zn2SbN3 (Materials Project id mp-1029334)

       222       93       75        0        0        0  
        93      222       75        0        0        0  
        75       75      254        0        0        0  
         0        0        0       55        0        0  
         0        0        0        0       56        0  
         0        0        0        0        0       63  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 131.56 GPaEV = 167.72 GPaGV = 65.133 GPaνV = 0.28752
ReussKR = 131.47 GPaER = 163.8 GPaGR = 63.375 GPaνR = 0.29235
HillKH = 131.51 GPaEH = 165.77 GPaGH = 64.254 GPaνH = 0.28993

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
55 GPa 56 GPa 63 GPa 129 GPa 174.14 GPa 394.86 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 150.62 GPa 218.29 GPa 2.3997 TPa–1 2.6033 TPa–1 55 GPa 80.092 GPa0.187570.3845Value
Anisotropy 1.449 1.0848 1.456 2.0500Anisotropy
Axis 0.3631
0.6902
-0.6259
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.6088
0.7934
0.0000
-0.0003
-0.0000
1.0000
0.7071
-0.0003
0.7071
-0.7071
0.7071
0.0000
0.0000
0.6614
-0.7501
Axis
-0.0000
1.0000
0.0000
0.7071
-0.0005
-0.7071
-0.0002
-0.0002
-1.0000
-0.0000
-0.7501
-0.6614
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