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 NaTl2InF6 (Materials Project id mp-989533)

       195       96       96        0        0        0  
        96      195       96        0        0        0  
        96       96      195        0        0        0  
         0        0        0       35        0        0  
         0        0        0        0       35        0  
         0        0        0        0        0       35  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 129 GPaEV = 110.73 GPaGV = 40.8 GPaνV = 0.35694
ReussKR = 129 GPaER = 107.88 GPaGR = 39.645 GPaνR = 0.36061
HillKH = 129 GPaEH = 109.31 GPaGH = 40.223 GPaνH = 0.35878

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
35 GPa 35 GPa 35 GPa 99 GPa 99 GPa 387 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 96.291 GPa 131.66 GPa 2.584 TPa–1 2.584 TPa–1 35 GPa 49.5 GPa0.258650.47463Value
Anisotropy 1.367 1.0000 1.414 1.8350Anisotropy
Axis 0.5774
0.5773
-0.5774
0.0000
0.0000
1.0000
0.9659
0.0000
0.2588
0.4330
0.7500
0.5000
0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
0.7071
-0.0001
0.7071
0.7071
-0.0002
0.7071
Axis
-0.9397
0.3420
0.0000
0.7071
-0.0005
-0.7071
0.0001
1.0000
0.0000
0.7071
-0.0005
-0.7071
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