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 YHg3 (Materials Project id mp-30726)

        80       50       43        0        0        0  
        50       80       43        0        0        0  
        43       43      103        0        0        0  
         0        0        0       19        0        0  
         0        0        0        0       19        0  
         0        0        0        0        0       15  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 59.444 GPaEV = 51.675 GPaGV = 19.067 GPaνV = 0.35512
ReussKR = 59.098 GPaER = 49.407 GPaGR = 18.156 GPaνR = 0.36066
HillKH = 59.271 GPaEH = 50.543 GPaGH = 18.611 GPaνH = 0.35788

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
15 GPa 19 GPa 19 GPa 30 GPa 54.208 GPa 178.79 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 45.495 GPa 74.554 GPa 4.5398 TPa–1 6.1907 TPa–1 15 GPa 22.59 GPa0.201850.51651Value
Anisotropy 1.639 1.3636 1.506 2.5589Anisotropy
Axis 1.0000
0.0001
-0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
1.0000
-0.0008
-0.0000
-0.1699
0.6864
-0.7071
0.9337
0.3580
-0.0000
0.1047
0.9945
-0.0000
Axis
0.0008
1.0000
-0.0000
0.1700
-0.6864
-0.7071
-0.0000
0.0000
-1.0000
-0.9945
0.1047
0.0000
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