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 Sr(FeAs)2 (Materials Project id mp-4488)

       165       54       58        0        0        0  
        54      165       58        0        0        0  
        58       58       78        0        0        0  
         0        0        0       42        0        0  
         0        0        0        0       42        0  
         0        0        0        0        0       66  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 83.111 GPaEV = 116.22 GPaGV = 45.867 GPaνV = 0.26694
ReussKR = 72.406 GPaER = 98.704 GPaGR = 38.775 GPaνR = 0.2728
HillKH = 77.758 GPaEH = 107.47 GPaGH = 42.321 GPaνH = 0.26966

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
40.342 GPa 42 GPa 42 GPa 66 GPa 111 GPa 256.66 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 47.279 GPa 134.1 GPa 1.9316 TPa–1 9.9478 TPa–1 24.615 GPa 66 GPa0.00280870.7415Value
Anisotropy 2.836 5.1500 2.681263.9998Anisotropy
Axis 0.0000
0.0000
1.0000
0.6791
0.6791
0.2788
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
1.0000
-0.0003
-0.0000
0.7071
0.7071
-0.0000
0.7071
0.7071
-0.0000
Axis
0.7071
-0.0005
-0.7071
0.0003
1.0000
0.0000
-0.7071
0.7071
0.0000
0.0005
-0.0005
-1.0000
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