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 PtF4 (Materials Project id mp-8943)

        74       50       26        0        0        0  
        50       83       31        0        0        0  
        26       31       33        0        0        0  
         0        0        0       19        0        0  
         0        0        0        0       16        0  
         0        0        0        0        0       38  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 44.889 GPaEV = 52.544 GPaGV = 20.133 GPaνV = 0.30491
ReussKR = 32.068 GPaER = 40.761 GPaGR = 15.822 GPaνR = 0.28815
HillKH = 38.478 GPaEH = 46.665 GPaGH = 17.977 GPaνH = 0.29787

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
16 GPa 17.958 GPa 19 GPa 28.548 GPa 38 GPa 143.49 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 20.199 GPa 77.602 GPa-0.97874 TPa–1 27.731 TPa–1 9.9465 GPa 38 GPa0.0443370.85958Value
Anisotropy 3.842 3.82 19.3874Anisotropy
Axis 0.0000
0.0000
1.0000
0.7058
0.7084
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
-0.0001
0.7071
0.7071
1.0000
-0.0001
-0.0000
0.6920
-0.0001
0.7219
-0.6558
0.7549
0.0000
Axis
0.0000
0.7071
-0.7071
0.0001
1.0000
0.0000
0.7219
-0.0004
-0.6920
0.0000
0.0000
-1.0000
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