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 SmTaO4 (Materials Project id mp-12931)

       280       89      116        0      -10        0  
        89      194       99        0       16        0  
       116       99      278        0      -13        0  
         0        0        0       66        0        9  
       -10       16      -13        0       71        0  
         0        0        0        9        0       64  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 151.11 GPaEV = 182.06 GPaGV = 70.067 GPaνV = 0.2992
ReussKR = 144.7 GPaER = 173.68 GPaGR = 66.803 GPaνR = 0.29995
HillKH = 147.9 GPaEH = 177.87 GPaGH = 68.435 GPaνH = 0.29957

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
55.945 GPa 63.446 GPa 74.055 GPa 133.95 GPa 164.29 GPa 461.31 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 136.11 GPa 225.98 GPa 1.512 TPa–1 3.5558 TPa–1 52.21 GPa 81.676 GPa0.089630.44712Value
Anisotropy 1.66 2.3517 1.564 4.9885Anisotropy
Axis -0.3825
0.8656
0.3231
-0.4518
-0.0000
0.8921
0.4410
0.0000
0.8975
0.0000
1.0000
0.0000
0.6140
0.6770
0.4058
0.6495
-0.0001
0.7604
-0.0000
1.0000
-0.0000
0.4434
-0.0000
0.8963
Axis
-0.2874
0.6706
-0.6839
0.7604
0.0001
-0.6495
-0.7818
-0.0000
0.6235
-0.0000
1.0000
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