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 NaTbSe2 (Materials Project id mp-999127)

        87       23       20        5        0        0  
        23       87       20       -5        0        0  
        20       20       54        0        0        0  
         5       -5        0       22        0        0  
         0        0        0        0       22        5  
         0        0        0        0        5       32  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 39.333 GPaEV = 64.319 GPaGV = 26.2 GPaνV = 0.22746
ReussKR = 37.246 GPaER = 60.068 GPaGR = 24.394 GPaνR = 0.23122
HillKH = 38.29 GPaEH = 62.194 GPaGH = 25.297 GPaνH = 0.22928

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
19.929 GPa 20.841 GPa 34.071 GPa 42.201 GPa 65.159 GPa 121.8 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 46.727 GPa 80.336 GPa 6.6148 TPa–1 13.619 TPa–1 19.929 GPa 34.071 GPa0.0915930.39561Value
Anisotropy 1.719 2.0588 1.71 4.3193Anisotropy
Axis -0.0000
-0.0000
1.0000
0.0000
0.9728
-0.2316
-0.9303
0.3668
0.0000
0.0000
0.0000
1.0000
-0.0000
0.3827
-0.9239
-0.0000
0.9239
0.3827
0.6099
0.3521
0.7100
1.0000
0.0005
-0.0001
Axis
-1.0000
0.0000
0.0000
-1.0000
-0.0000
-0.0000
-0.4999
0.8661
-0.0000
-0.0002
0.6030
0.7978
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