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 H3ClO (Materials Project id mp-34078)

        44       30        8       -2        0        0  
        30       44        8        2        0        0  
         8        8        4        0        0        0  
        -2        2        0        5        0        0  
         0        0        0        0        5       -2  
         0        0        0        0       -2        7  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 20.444 GPaEV = 17.55 GPaGV = 6.4667 GPaνV = 0.35693
ReussKR = 3.36 GPaER = 7.4986 GPaGR = 3.3237 GPaνR = 0.12805
HillKH = 11.902 GPaEH = 12.915 GPaGH = 4.8952 GPaνH = 0.31915

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
2.2169 GPa 3.7639 GPa 4.1849 GPa 8.2361 GPa 14.815 GPa 75.783 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 2.2703 GPa 24.689 GPa -23.81 TPa–1 345.24 TPa–1 1.6926 GPa 8.2361 GPa-0.477251.0873Value
Anisotropy 10.87 4.866Anisotropy
Axis 0.0000
0.0000
1.0000
0.8332
0.4811
-0.2727
-0.9914
0.1305
0.0000
0.0000
0.0000
1.0000
0.0013
0.6753
-0.7376
-0.7367
0.4253
0.5257
0.0000
0.8366
0.5478
0.5000
0.8660
-0.0000
Axis
-0.0008
-0.7376
-0.6753
-0.5000
-0.8660
0.0000
-0.0004
0.5478
-0.8366
-0.4280
0.2471
0.8693
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