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 YAl4Ni (Materials Project id mp-3602)

       142       56       68        0        0        0  
        56      184       44        0        0        0  
        68       44      173        0        0        0  
         0        0        0       65        0        0  
         0        0        0        0       79        0  
         0        0        0        0        0       49  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 92.778 GPaEV = 149.43 GPaGV = 60.667 GPaνV = 0.23156
ReussKR = 92.478 GPaER = 142.9 GPaGR = 57.507 GPaνR = 0.24246
HillKH = 92.628 GPaEH = 146.18 GPaGH = 59.087 GPaνH = 0.23698

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
49 GPa 65 GPa 79 GPa 83.757 GPa 136.51 GPa 278.73 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 106.6 GPa 177.86 GPa 3.2959 TPa–1 4.1268 TPa–1 43.667 GPa 79 GPa0.102870.43702Value
Anisotropy 1.668 1.2521 1.809 4.2482Anisotropy
Axis 1.0000
0.0000
0.0000
0.6279
0.0000
0.7783
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.7071
-0.0000
-0.7071
0.0000
0.0000
1.0000
-0.6911
0.1971
-0.6954
0.0000
0.0000
1.0000
Axis
-0.7071
0.0002
-0.7071
-1.0000
0.0000
0.0000
-0.6802
0.1480
0.7179
1.0000
0.0000
-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