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 Sr2NiTeO6 (Materials Project id mp-18908)

       197       80       97        0      -12        0  
        80      224       77        0       11        0  
        97       77      254        0        8        0  
         0        0        0       40        0       -1  
       -12       11        8        0       78        0  
         0        0        0       -1        0       65  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 131.44 GPaEV = 166.67 GPaGV = 64.667 GPaνV = 0.28867
ReussKR = 130.07 GPaER = 155.58 GPaGR = 59.81 GPaνR = 0.30065
HillKH = 130.76 GPaEH = 161.15 GPaGH = 62.238 GPaνH = 0.2946

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
39.96 GPa 65.04 GPa 71.44 GPa 124.15 GPa 160.7 GPa 396.71 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 118.25 GPa 213.71 GPa 1.9691 TPa–1 2.9946 TPa–1 39.96 GPa 82.874 GPa0.088730.5539Value
Anisotropy 1.807 1.5208 2.074 6.2425Anisotropy
Axis -0.0663
0.7154
0.6955
0.3473
-0.0000
0.9378
0.0618
0.0000
0.9981
0.9981
0.0000
-0.0618
0.0399
0.0000
0.9992
0.9706
0.0001
0.2409
-0.5893
0.5579
-0.5843
0.4713
0.6053
0.6415
Axis
0.0000
1.0000
-0.0000
0.2409
0.0002
-0.9706
-0.8072
-0.3753
0.4557
-0.0627
0.7485
-0.6602
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