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 H2C (Materials Project id mp-985782)

         4        3        2        0        0        0  
         3        4        1        0        0        0  
         2        1      275        0        0        0  
         0        0        0        1        0        0  
         0        0        0        0        1        0  
         0        0        0        0        0        2  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 32.778 GPaEV = 48.33 GPaGV = 19.267 GPaνV = 0.25425
ReussKR = 3.4855 GPaER = 2.9503 GPaGR = 1.0855 GPaνR = 0.35892
HillKH = 18.132 GPaEH = 25.717 GPaGH = 10.176 GPaνH = 0.26361

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
0.99817 GPa 1 GPa 1 GPa 2 GPa 6.9832 GPa 275.02 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 1.7443 GPa 273.86 GPa 2.0866 TPa–1 143.45 TPa–1 0.49909 GPa 4.9554 GPa-0.285710.76654Value
Anisotropy 157 68.7500 9.929Anisotropy
Axis 1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
0.7071
0.7071
-0.0000
0.4985
0.5015
0.7071
0.0000
-0.0000
1.0000
-0.2260
0.2257
0.9476
Axis
-0.7071
0.7071
0.0001
0.4985
0.5015
-0.7071
-0.0000
-1.0000
-0.0000
-0.6857
0.6541
-0.3193
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