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 DyAgSn (Materials Project id mp-21198)

       131       60       35        0        0        0  
        60      131       35        0        0        0  
        35       35      106        0        0        0  
         0        0        0       48        0        0  
         0        0        0        0       48        0  
         0        0        0        0        0       36  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 69.778 GPaEV = 105.5 GPaGV = 42.267 GPaνV = 0.24801
ReussKR = 67.665 GPaER = 102.9 GPaGR = 41.275 GPaνR = 0.24654
HillKH = 68.722 GPaEH = 104.2 GPaGH = 41.771 GPaνH = 0.24729

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
36 GPa 48 GPa 48 GPa 71 GPa 83.26 GPa 213.74 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 93.173 GPa 107.01 GPa 3.9897 TPa–1 6.7993 TPa–1 35.5 GPa 48 GPa0.106550.40558Value
Anisotropy 1.148 1.7042 1.352 3.8064Anisotropy
Axis 0.0000
0.0000
1.0000
-0.5513
0.5513
0.6262
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
-0.7071
0.7071
-0.0000
-0.0000
0.0000
1.0000
0.6992
-0.0001
0.7149
1.0000
-0.0002
-0.0000
Axis
-0.7071
-0.7071
-0.0000
-0.7660
0.6428
-0.0000
0.7149
-0.0005
-0.6992
0.0002
1.0000
-0.0000
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