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 YHg2 (Materials Project id mp-30725)

       125       57       38        0        0        0  
        57      125       38        0        0        0  
        38       38       83        0        0        0  
         0        0        0       24        0        0  
         0        0        0        0       24        0  
         0        0        0        0        0       34  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 66.556 GPaEV = 77.638 GPaGV = 29.733 GPaνV = 0.30558
ReussKR = 62.337 GPaER = 74.413 GPaGR = 28.597 GPaνR = 0.30105
HillKH = 64.446 GPaEH = 76.027 GPaGH = 29.165 GPaνH = 0.30338

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
24 GPa 24 GPa 34 GPa 59.437 GPa 68 GPa 205.56 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 63.647 GPa 93.027 GPa 3.6831 TPa–1 8.6757 TPa–1 24 GPa 34 GPa0.20790.37032Value
Anisotropy 1.462 2.3556 1.417 1.7812Anisotropy
Axis 0.5324
0.0707
0.8435
0.7934
0.6088
0.0000
0.2587
0.9659
-0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.2447
0.9696
0.0000
0.2763
-0.0669
0.9587
-0.4962
0.6150
0.6129
Axis
0.1735
0.9848
-0.0000
-0.9696
0.2447
-0.0000
0.2353
0.9719
0.0000
0.3848
-0.4770
0.7902
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