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 OsF6 (Materials Project id mp-22626)

        11        3        3        0        0        0  
         3       12        2        0        0        0  
         3        2       14        0        0        0  
         0        0        0        2        0        0  
         0        0        0        0        2        0  
         0        0        0        0        0        3  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 5.8889 GPaEV = 8.4127 GPaGV = 3.3333 GPaνV = 0.2619
ReussKR = 5.8613 GPaER = 7.346 GPaGR = 2.8448 GPaνR = 0.29112
HillKH = 5.8751 GPaEH = 7.8852 GPaGH = 3.0891 GPaνH = 0.27631

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
2 GPa 2 GPa 3 GPa 8.2042 GPa 11 GPa 17.796 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 5.9086 GPa 13.057 GPa 49.813 TPa–1 61.021 TPa–1 2 GPa 5.4626 GPa0.0857140.5618Value
Anisotropy 2.21 1.2250 2.731 6.5543Anisotropy
Axis 0.5275
0.5477
0.6494
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0002
0.7071
-0.7071
0.5007
0.0004
-0.8656
0.6651
0.0000
0.7468
Axis
1.0000
0.0000
-0.0000
0.0001
-0.7071
-0.7071
-0.0005
1.0000
0.0001
0.7468
-0.0001
-0.6651
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