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 SrTa2H2O7 (Materials Project id mp-990430)

       313       24       -9        0        0        0  
        24      313       -9        0        0        0  
        -9       -9       35        0        0        0  
         0        0        0       33        0        0  
         0        0        0        0       33        0  
         0        0        0        0        0       72  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 74.778 GPaEV = 162.25 GPaGV = 71.267 GPaνV = 0.13836
ReussKR = 26.26 GPaER = 81.765 GPaGR = 41.672 GPaνR = -0.018953
HillKH = 50.519 GPaEH = 123.42 GPaGH = 56.469 GPaνH = 0.092818

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
33 GPa 33 GPa 34.465 GPa 72 GPa 289 GPa 337.54 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 34.519 GPa 309.17 GPa 3.7823 TPa–1 30.517 TPa–1 30.866 GPa 144.5 GPa-0.239190.39543Value
Anisotropy 8.957 8.0682 4.682Anisotropy
Axis 0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.5003
0.4998
-0.7071
-0.7071
0.7071
0.0000
1.0000
0.0002
0.0000
0.7071
0.7071
-0.0000
Axis
-0.4998
-0.5001
-0.7072
-0.7071
-0.7071
-0.0000
-0.0000
0.0002
-1.0000
-0.7071
0.7071
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