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 FeCuS2 (Materials Project id mp-3497)

        78       55       45        0        0        0  
        55       78       45        0        0        0  
        45       45       64        0        0        0  
         0        0        0       24        0        0  
         0        0        0        0       24        0  
         0        0        0        0        0       30  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 56.667 GPaEV = 55.121 GPaGV = 20.6 GPaνV = 0.33788
ReussKR = 55.086 GPaER = 48.375 GPaGR = 17.868 GPaνR = 0.35364
HillKH = 55.877 GPaEH = 51.763 GPaGH = 19.234 GPaνH = 0.3456

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
23 GPa 24 GPa 24 GPa 26.11 GPa 30 GPa 170.89 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 33.549 GPa 68.705 GPa 4.2582 TPa–1 9.6369 TPa–1 11.5 GPa 30 GPa0.0388820.65045Value
Anisotropy 2.048 2.2632 2.609 16.7286Anisotropy
Axis 0.0000
0.0000
1.0000
0.6325
0.6326
-0.4469
0.2588
0.9659
0.0000
0.0000
0.0000
1.0000
0.7071
0.7071
-0.0000
1.0000
0.0000
-0.0000
0.7067
-0.0002
0.7075
0.7071
0.7071
-0.0000
Axis
-0.7071
0.7071
-0.0000
-0.0000
1.0000
-0.0000
0.7075
-0.0006
-0.7067
0.0000
-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