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 PtN2 (Materials Project id mp-570155)

       470       91      243        0        0        0  
        91      672       86        0        0        0  
       243       86      477        0        0        0  
         0        0        0      106        0        0  
         0        0        0        0      250        0  
         0        0        0        0        0      143  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 273.22 GPaEV = 442.23 GPaGV = 179.73 GPaνV = 0.23024
ReussKR = 272.97 GPaER = 387.29 GPaGR = 153.26 GPaνR = 0.26353
HillKH = 273.1 GPaEH = 415.12 GPaGH = 166.49 GPaνH = 0.24666

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
106 GPa 143 GPa 230.43 GPa 250 GPa 567.2 GPa 821.37 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 288.36 GPa 650.06 GPa 1.1581 TPa–1 1.2591 TPa–1 106 GPa 274.8 GPa0.0646910.5055Value
Anisotropy 2.254 1.0872 2.592 7.8140Anisotropy
Axis -0.0000
0.5988
0.8009
0.0000
1.0000
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
0.0000
-0.0004
-0.0002
1.0000
0.4930
0.7071
0.5069
-0.5826
0.6513
-0.4863
0.0000
0.0000
1.0000
Axis
-0.0000
1.0000
0.0002
-0.4930
0.7071
-0.5069
-0.7525
-0.2061
0.6255
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