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 Ba(FeAs)2 (Materials Project id mp-568961)

       150       49       57        0        0        0  
        49      150       57        0        0        0  
        57       57       89        0        0        0  
         0        0        0       43        0        0  
         0        0        0        0       43        0  
         0        0        0        0        0       58  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 79.444 GPaEV = 111.14 GPaGV = 43.867 GPaνV = 0.26683
ReussKR = 75.255 GPaER = 101.21 GPaGR = 39.662 GPaνR = 0.27586
HillKH = 77.35 GPaEH = 106.18 GPaGH = 41.764 GPaνH = 0.27121

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
43 GPa 43 GPa 46.414 GPa 58 GPa 101 GPa 241.59 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 56.347 GPa 124.28 GPa 2.8538 TPa–1 7.5805 TPa–1 27.149 GPa 58 GPa0.0412780.61401Value
Anisotropy 2.206 2.6562 2.136 14.8751Anisotropy
Axis 0.0000
0.0000
1.0000
0.6580
0.6580
-0.3662
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
0.0001
-0.0001
-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