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 MgHg2 (Materials Project id mp-11464)

        49       35       27        0        0        0  
        35       49       27        0        0        0  
        27       27       97        0        0        0  
         0        0        0       13        0        0  
         0        0        0        0       13        0  
         0        0        0        0        0        9  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 41.444 GPaEV = 37.911 GPaGV = 14.067 GPaνV = 0.34754
ReussKR = 39.353 GPaER = 30.78 GPaGR = 11.236 GPaνR = 0.36964
HillKH = 40.399 GPaEH = 34.367 GPaGH = 12.652 GPaνH = 0.35822

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
9 GPa 13 GPa 13 GPa 14 GPa 51.767 GPa 129.23 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 23.275 GPa 79.643 GPa 4.4843 TPa–1 10.463 TPa–1 7 GPa 17.968 GPa0.0939360.66252Value
Anisotropy 3.422 2.3333 2.567 7.0529Anisotropy
Axis 1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
-0.7071
0.7071
-0.0001
0.5000
0.5000
0.7071
1.0000
0.0003
0.0000
-1.0000
-0.0000
0.0000
Axis
-0.7071
-0.7071
0.0000
0.5000
0.5000
-0.7071
0.0000
0.0001
-1.0000
0.0000
-1.0000
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