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 SmNi5 (Materials Project id mp-1075)

       218       95       63        0        0       -6  
        95      218       63        0        0       -6  
        63       63      249        0        0       -7  
         0        0        0       67        0        0  
         0        0        0        0       67        0  
        -6       -6       -7        0        0       62  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 125.22 GPaEV = 177.3 GPaGV = 70.133 GPaνV = 0.26402
ReussKR = 124.57 GPaER = 173.54 GPaGR = 68.438 GPaνR = 0.26783
HillKH = 124.9 GPaEH = 175.42 GPaGH = 69.286 GPaνH = 0.26592

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
61.611 GPa 67 GPa 67 GPa 123 GPa 186.34 GPa 376.05 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 160.6 GPa 223.3 GPa 2.2594 TPa–1 3.0796 TPa–1 61.5 GPa 83.225 GPa0.119880.40616Value
Anisotropy 1.39 1.3630 1.353 3.3881Anisotropy
Axis 0.6225
0.6226
0.4742
0.0000
0.0000
1.0000
-0.7071
0.7071
0.0000
0.7071
0.7071
0.0000
0.7071
0.7071
0.0000
0.5000
0.5000
0.7071
0.7071
0.7071
-0.0000
-0.7071
0.7071
-0.0000
Axis
-0.7071
0.7071
0.0000
-0.5000
-0.5000
0.7071
0.0005
-0.0005
-1.0000
-0.7071
-0.7071
-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