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 DyNi2B2C (Materials Project id mp-6223)

       295      157      150        0        0        0  
       157      295      150        0        0        0  
       150      150      252        0        0        0  
         0        0        0       58        0        0  
         0        0        0        0       58        0  
         0        0        0        0        0      129  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 195.11 GPaEV = 198.66 GPaGV = 74.667 GPaνV = 0.3303
ReussKR = 193.55 GPaER = 182.2 GPaGR = 67.827 GPaνR = 0.34311
HillKH = 194.33 GPaEH = 190.46 GPaGH = 71.247 GPaνH = 0.33665

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
58 GPa 58 GPa 117.48 GPa 129 GPa 138 GPa 586.52 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 152.44 GPa 265.49 GPa 1.4803 TPa–1 2.206 TPa–1 58 GPa 129 GPa0.0290320.57796Value
Anisotropy 1.742 1.4902 2.224 19.9074Anisotropy
Axis -0.0000
-0.0000
1.0000
0.7071
0.7071
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
-0.0002
-0.0000
-0.7071
0.7071
-0.0000
-0.7071
0.7071
-0.0001
Axis
1.0000
0.0000
-0.0000
0.0002
1.0000
-0.0000
-0.7071
-0.7071
-0.0000
-0.0000
0.0001
1.0000
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