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 TmAu (Materials Project id mp-1017507)

       133       78       71        0        0        0  
        78      145       68        0        0        0  
        71       68      103        0        0        0  
         0        0        0        3        0        0  
         0        0        0        0       47        0  
         0        0        0        0        0       24  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 90.556 GPaEV = 70.52 GPaGV = 25.733 GPaνV = 0.37021
ReussKR = 87.51 GPaER = 30.513 GPaGR = 10.581 GPaνR = 0.44189
HillKH = 89.033 GPaEH = 51.004 GPaGH = 18.157 GPaνH = 0.40452

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
3 GPa 24 GPa 44.92 GPa 47 GPa 62.379 GPa 273.7 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 11.338 GPa 104.48 GPa 2.5374 TPa–1 6.1335 TPa–1 3 GPa 47 GPa-0.666311.4732Value
Anisotropy 9.216 2.4173 15.67Anisotropy
Axis -0.0000
0.7000
0.7141
0.7643
-0.0000
0.6449
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
0.0002
0.0001
1.0000
-0.0000
0.0000
1.0000
0.8049
0.2827
0.5217
0.8050
0.3533
0.4766
Axis
-0.0000
1.0000
-0.0001
-1.0000
-0.0000
-0.0000
-0.5760
0.5838
0.5722
0.0656
0.7454
-0.6634
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