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 ZnSnN2 (Materials Project id mp-1029469)

       233       96       76        0        0        0  
        96      223       73        0        0        0  
        76       73      250        0        0        0  
         0        0        0       57        0        0  
         0        0        0        0       54        0  
         0        0        0        0        0       65  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 132.89 GPaEV = 169.73 GPaGV = 65.933 GPaνV = 0.28713
ReussKR = 132.82 GPaER = 165.63 GPaGR = 64.09 GPaνR = 0.29216
HillKH = 132.85 GPaEH = 167.68 GPaGH = 65.012 GPaνH = 0.28964

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
54 GPa 57 GPa 65 GPa 131.86 GPa 175.36 GPa 398.77 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 150.51 GPa 215.74 GPa 2.3889 TPa–1 2.6362 TPa–1 54 GPa 81.572 GPa0.18510.40055Value
Anisotropy 1.433 1.1035 1.511 2.1640Anisotropy
Axis 0.7527
-0.0000
-0.6584
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
0.0000
1.0000
0.0000
0.6749
0.0002
-0.7379
Axis
-1.0000
0.0000
0.0000
-0.7071
-0.0002
-0.7071
-0.0000
-0.0000
1.0000
-0.7379
-0.0003
-0.6749
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