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 SnF4 (Materials Project id mp-2706)

       239        9       -2        0        0        0  
         9      239       -2        0        0        0  
        -2       -2       18        0        0        0  
         0        0        0       14        0        0  
         0        0        0        0       14        0  
         0        0        0        0        0       19  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 56.222 GPaEV = 101.14 GPaGV = 42.133 GPaνV = 0.20019
ReussKR = 15.26 GPaER = 38.55 GPaGR = 17.864 GPaνR = 0.078971
HillKH = 35.741 GPaEH = 70.322 GPaGH = 29.999 GPaνH = 0.17208

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
14 GPa 14 GPa 17.965 GPa 19 GPa 230 GPa 248.03 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 17.968 GPa 238.46 GPa 4.4883 TPa–1 56.553 TPa–1 14 GPa 115 GPa-0.107030.73385Value
Anisotropy 13.27 12.6000 8.214Anisotropy
Axis 0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
0.9914
0.1305
0.0000
0.0000
0.0000
1.0000
-0.0000
-0.0000
1.0000
-0.7071
0.7071
0.0000
-0.0000
1.0000
0.0000
0.7071
0.7071
0.0000
Axis
1.0000
0.0002
0.0000
-0.7071
-0.7071
-0.0000
0.0000
0.0000
-1.0000
-0.7071
0.7071
-0.0001
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