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 UNi5 (Materials Project id mp-2838)

       311      155      155        0        0        0  
       155      311      155        0        0        0  
       155      155      311        0        0        0  
         0        0        0      101        0        0  
         0        0        0        0      101        0  
         0        0        0        0        0      101  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 207 GPaEV = 239.93 GPaGV = 91.8 GPaνV = 0.30682
ReussKR = 207 GPaER = 236.61 GPaGR = 90.344 GPaνR = 0.30949
HillKH = 207 GPaEH = 238.27 GPaGH = 91.072 GPaνH = 0.30815

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
101 GPa 101 GPa 101 GPa 156 GPa 156 GPa 621 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 207.89 GPa 260.61 GPa 1.6103 TPa–1 1.6103 TPa–1 78 GPa 101 GPa0.213240.39212Value
Anisotropy 1.254 1.0000 1.295 1.8388Anisotropy
Axis 0.0000
0.0000
1.0000
0.5774
0.5774
0.5773
0.2500
0.9330
0.2588
0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
0.0000
0.0000
1.0000
0.7071
-0.0000
-0.7071
0.7071
-0.0005
0.7071
Axis
0.7071
-0.0005
-0.7071
0.7660
0.6428
-0.0000
-0.7071
0.0002
-0.7071
0.0004
1.0000
0.0004
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