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 Re4Si7 (Materials Project id mp-568595)

       389       97      124        0       28        0  
        97      411      100        0        4        0  
       124      100      469        0       47        0  
         0        0        0      167        0        6  
        28        4       47        0      164        0  
         0        0        0        6        0      160  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 212.33 GPaEV = 386.32 GPaGV = 161.4 GPaνV = 0.19677
ReussKR = 206.98 GPaER = 379.88 GPaGR = 159.06 GPaνR = 0.19411
HillKH = 209.66 GPaEH = 383.1 GPaGH = 160.23 GPaνH = 0.19546

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
155.53 GPa 156.55 GPa 170.45 GPa 291.05 GPa 339.47 GPa 646.96 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 325.36 GPa 484.57 GPa 1.1559 TPa–1 1.987 TPa–1 145.05 GPa 180.92 GPa0.149730.25971Value
Anisotropy 1.489 1.7190 1.247 1.7344Anisotropy
Axis -0.8428
-0.0000
0.5383
0.5090
0.0000
0.8607
-0.5193
0.0000
-0.8546
-0.8546
0.0000
0.5193
-0.6059
0.7071
0.3645
-0.3578
0.7071
-0.6099
-0.0000
1.0000
0.0000
-0.8546
0.0001
-0.5193
Axis
-0.6059
-0.7071
0.3646
-0.3577
-0.7071
-0.6099
-0.4916
-0.0000
-0.8708
0.5193
-0.0001
-0.8546
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