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 SmCu5 (Materials Project id mp-227)

       138       82       55        0        0        0  
        82      138       55        0        0        0  
        55       55       63        0        0        0  
         0        0        0       35        0        0  
         0        0        0        0       35        0  
         0        0        0        0        0       28  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 80.333 GPaEV = 78.61 GPaGV = 29.4 GPaνV = 0.33691
ReussKR = 61.984 GPaER = 69.068 GPaGR = 26.276 GPaνR = 0.31428
HillKH = 71.159 GPaEH = 73.88 GPaGH = 27.838 GPaνH = 0.32696

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
28 GPa 30.991 GPa 35 GPa 35 GPa 56 GPa 252.01 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 35.5 GPa 85.218 GPa 1.0243 TPa–1 14.085 TPa–1 18.111 GPa 35 GPa0.0273010.54331Value
Anisotropy 2.401 13.7500 1.933 19.9007Anisotropy
Axis 0.0000
0.0000
1.0000
0.6141
0.6389
-0.4633
0.2588
0.9659
0.0000
0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
0.0000
0.0000
1.0000
0.5299
0.4596
-0.7127
0.7982
0.6024
-0.0000
Axis
0.7071
-0.0005
-0.7071
0.7660
0.6428
-0.0000
0.5384
0.4670
0.7014
0.0001
-0.0002
-1.0000
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