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 Sb3Ir (Materials Project id mp-1239)

       196       50       50        0        0        0  
        50      196       50        0        0        0  
        50       50      196        0        0        0  
         0        0        0       52        0        0  
         0        0        0        0       52        0  
         0        0        0        0        0       52  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 98.667 GPaEV = 150.49 GPaGV = 60.4 GPaνV = 0.24579
ReussKR = 98.667 GPaER = 147.09 GPaGR = 58.762 GPaνR = 0.25154
HillKH = 98.667 GPaEH = 148.79 GPaGH = 59.581 GPaνH = 0.24866

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
52 GPa 52 GPa 52 GPa 146 GPa 146 GPa 296 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 132.69 GPa 175.67 GPa 3.3784 TPa–1 3.3784 TPa–1 52 GPa 73 GPa0.163520.35899Value
Anisotropy 1.324 1.0000 1.404 2.1954Anisotropy
Axis -0.5774
0.5774
0.5773
0.0000
0.0000
1.0000
0.6088
0.0000
0.7934
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
-0.7071
0.0000
0.7071
0.7071
-0.0000
-0.7071
Axis
0.1735
0.9848
-0.0000
0.7071
-0.0005
-0.7071
-0.0000
-1.0000
-0.0000
-0.7071
0.0002
-0.7071
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