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 Sn3Pt2 (Materials Project id mp-30846)

       143       90       68        0        0        0  
        90      143       68        0        0        0  
        68       68      179        0        0        0  
         0        0        0       29        0        0  
         0        0        0        0       29        0  
         0        0        0        0        0       26  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 101.89 GPaEV = 88.701 GPaGV = 32.733 GPaνV = 0.35491
ReussKR = 101.75 GPaER = 83.159 GPaGR = 30.488 GPaνR = 0.36379
HillKH = 101.82 GPaEH = 85.939 GPaGH = 31.611 GPaνH = 0.35933

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
26 GPa 29 GPa 29 GPa 53 GPa 106.12 GPa 305.88 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 76.4 GPa 139.31 GPa 2.9884 TPa–1 3.4197 TPa–1 26 GPa 42.446 GPa0.169320.55429Value
Anisotropy 1.823 1.1443 1.633 3.2736Anisotropy
Axis 0.6090
0.6090
0.5081
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.6116
0.7912
0.0000
1.0000
-0.0002
-0.0000
0.7071
-0.0003
0.7071
-0.7071
0.7071
-0.0000
0.7070
0.7072
0.0000
Axis
0.0002
1.0000
-0.0000
0.7071
-0.0005
-0.7071
-0.0000
-0.0000
-1.0000
-0.7072
0.7070
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