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 SmCo3B2 (Materials Project id mp-5410)

       368      117      167        0        0        0  
       117      368      167        0        0        0  
       167      167      321        0        0        0  
         0        0        0      115        0        0  
         0        0        0        0      115        0  
         0        0        0        0        0      125  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 217.67 GPaEV = 285.5 GPaGV = 111.4 GPaνV = 0.2814
ReussKR = 217.66 GPaER = 277.32 GPaGR = 107.69 GPaνR = 0.28765
HillKH = 217.66 GPaEH = 281.42 GPaGH = 109.54 GPaνH = 0.28452

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
115 GPa 115 GPa 125 GPa 153 GPa 251 GPa 653 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 205.99 GPa 300.82 GPa 1.5114 TPa–1 1.5414 TPa–1 84.716 GPa 125.5 GPa0.107140.46451Value
Anisotropy 1.46 1.0199 1.481 4.3356Anisotropy
Axis 0.0000
0.0000
1.0000
0.8382
0.0000
0.5454
0.0000
0.0000
1.0000
0.8660
0.5000
0.0000
0.5000
0.5000
0.7071
0.7071
0.7071
0.0000
1.0000
0.0007
0.0000
1.0000
-0.0004
-0.0000
Axis
0.5000
0.5000
-0.7071
-0.7071
0.7071
0.0000
-0.0007
1.0000
-0.0000
-0.0000
-0.0003
-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