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 Li3AuS2 (Materials Project id mp-15999)

        69       22       22        0        0        0  
        22       58       32        0        0        0  
        22       32       60        0        0        0  
         0        0        0       35        0        0  
         0        0        0        0       17        0  
         0        0        0        0        0       17  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 37.667 GPaEV = 53.553 GPaGV = 21.2 GPaνV = 0.26304
ReussKR = 37.658 GPaER = 48.836 GPaGR = 19.019 GPaνR = 0.28386
HillKH = 37.663 GPaEH = 51.214 GPaGH = 20.11 GPaνH = 0.27337

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
17 GPa 17 GPa 26.976 GPa 35 GPa 47.017 GPa 113.01 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 39.204 GPa 73.331 GPa 8.5259 TPa–1 9.1817 TPa–1 13.494 GPa 35 GPa0.047190.49005Value
Anisotropy 1.871 1.0769 2.594 10.3846Anisotropy
Axis 0.0000
1.0000
0.0000
-0.0000
0.6996
0.7145
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
-0.0004
0.7071
0.7071
0.0002
0.0000
1.0000
0.0000
0.7075
0.7067
-0.0004
-0.0002
1.0000
Axis
0.0003
0.7071
-0.7071
-0.0000
1.0000
-0.0000
0.0000
-0.7067
0.7075
0.0000
1.0000
0.0002
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