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 SrSO4 (Materials Project id mp-5285)

       107       46       35        0        0        0  
        46      102       41        0        0        0  
        35       41       84        0        0        0  
         0        0        0       20        0        0  
         0        0        0        0       16        0  
         0        0        0        0        0       34  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 59.667 GPaEV = 66.731 GPaGV = 25.4 GPaνV = 0.3136
ReussKR = 58.568 GPaER = 62.033 GPaGR = 23.436 GPaνR = 0.32347
HillKH = 59.117 GPaEH = 64.389 GPaGH = 24.418 GPaνH = 0.31847

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
16 GPa 20 GPa 34 GPa 50.876 GPa 61.679 GPa 180.44 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 47.255 GPa 86.524 GPa 4.5158 TPa–1 7.6594 TPa–1 16 GPa 34 GPa0.172840.50447Value
Anisotropy 1.831 1.6961 2.125 2.9187Anisotropy
Axis 0.6645
-0.0000
0.7473
0.8084
0.5887
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0006
0.0000
-0.5029
0.5997
0.6224
-0.5810
0.5297
0.6180
Axis
1.0000
0.0000
-0.0000
-0.0006
1.0000
-0.0000
-0.6691
-0.7260
0.1589
-0.5706
0.2764
-0.7733
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