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 Ho2In (Materials Project id mp-20686)

        91       59       26        0        0        0  
        59       91       26        0        0        0  
        26       26       96        0        0        0  
         0        0        0       32        0        0  
         0        0        0        0       32        0  
         0        0        0        0        0       16  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 55.556 GPaEV = 70.003 GPaGV = 27.133 GPaνV = 0.28999
ReussKR = 54.824 GPaER = 61.615 GPaGR = 23.469 GPaνR = 0.31269
HillKH = 55.19 GPaEH = 65.842 GPaGH = 25.301 GPaνH = 0.30116

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
16 GPa 32 GPa 32 GPa 32 GPa 77.382 GPa 168.62 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 51.803 GPa 86.987 GPa 5.3648 TPa–1 7.5107 TPa–1 16 GPa 32 GPa0.0746040.61886Value
Anisotropy 1.679 1.4000 2 8.2953Anisotropy
Axis 1.0000
0.0002
0.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
1.0000
-0.0002
0.0000
0.0000
0.0000
1.0000
0.4502
0.6216
0.6411
-0.6692
0.7431
-0.0000
Axis
0.0002
1.0000
0.0000
0.7660
0.6428
-0.0000
0.3761
0.5192
-0.7675
-0.7431
-0.6692
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