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 Fe3RhN (Materials Project id mp-580234)

       338      131      131        0        0        0  
       131      338      131        0        0        0  
       131      131      338        0        0        0  
         0        0        0       72        0        0  
         0        0        0        0       72        0  
         0        0        0        0        0       72  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 200 GPaEV = 222.44 GPaGV = 84.6 GPaνV = 0.31464
ReussKR = 200 GPaER = 216.38 GPaGR = 81.98 GPaνR = 0.31969
HillKH = 200 GPaEH = 219.41 GPaGH = 83.29 GPaνH = 0.31716

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
72 GPa 72 GPa 72 GPa 207 GPa 207 GPa 600 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 192.86 GPa 264.82 GPa 1.6667 TPa–1 1.6667 TPa–1 72 GPa 103.5 GPa0.218240.4369Value
Anisotropy 1.373 1.0000 1.437 2.0019Anisotropy
Axis -0.5774
0.5774
-0.5773
0.0000
0.0000
1.0000
0.1294
0.9830
0.1305
0.6871
0.3967
0.6088
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
0.7071
-0.0000
-0.7071
0.7071
-0.0000
-0.7071
Axis
1.0000
0.0000
-0.0000
-0.7071
-0.0002
-0.7071
-0.0000
1.0000
-0.0000
-0.7071
0.0002
-0.7071
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