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 Ba(CdP)2 (Materials Project id mp-8279)

        99       27       29       -4        0        0  
        27       99       29        4        0        0  
        29       29       90        0        0        0  
        -4        4        0       30        0        0  
         0        0        0        0       30       -4  
         0        0        0        0       -4       36  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 50.889 GPaEV = 80.862 GPaGV = 32.733 GPaνV = 0.23517
ReussKR = 50.832 GPaER = 79.591 GPaGR = 32.118 GPaνR = 0.23904
HillKH = 50.86 GPaEH = 80.228 GPaGH = 32.426 GPaνH = 0.2371

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
28 GPa 29.251 GPa 38 GPa 63.212 GPa 72.749 GPa 152.79 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 70.922 GPa 90.079 GPa 6.316 TPa–1 7.0408 TPa–1 28 GPa 38 GPa0.143650.31402Value
Anisotropy 1.27 1.1148 1.357 2.1859Anisotropy
Axis 0.0000
0.7427
-0.6697
-0.0000
0.9544
0.2986
0.9239
0.3827
0.0000
0.0000
0.0000
1.0000
0.0000
0.4472
0.8944
-1.0000
-0.0000
-0.0000
0.6348
0.3665
-0.6802
-0.5243
0.3026
-0.7960
Axis
-1.0000
-0.0000
0.0000
0.0000
-0.8944
0.4472
-0.5000
0.8660
0.0000
0.6893
-0.3981
-0.6054
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