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 RhSe (Materials Project id mp-900)

       176      111      100        0        0        0  
       111      176      100        0        0        0  
       100      100      261        0        0        0  
         0        0        0       16        0        0  
         0        0        0        0       16        0  
         0        0        0        0        0       33  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 137.22 GPaEV = 91.996 GPaGV = 33.133 GPaνV = 0.38826
ReussKR = 134.25 GPaER = 70.263 GPaGR = 24.867 GPaνR = 0.41277
HillKH = 135.73 GPaEH = 81.217 GPaGH = 29 GPaνH = 0.40027

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
16 GPa 16 GPa 33 GPa 65 GPa 131.98 GPa 416.02 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 53.553 GPa 191.31 GPa 1.5845 TPa–1 2.9322 TPa–1 16 GPa 53.129 GPa0.178520.6996Value
Anisotropy 3.572 1.8506 3.321 3.9189Anisotropy
Axis 0.7454
0.0000
0.6666
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.6088
0.7934
0.0000
0.0000
0.0000
1.0000
0.4998
0.5002
0.7071
0.4108
0.4108
0.8139
-0.4324
0.4325
0.7912
Axis
1.0000
0.0000
-0.0000
0.5002
0.4998
-0.7071
-0.7071
0.7071
0.0000
-0.5595
0.5595
-0.6116
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