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 NdIr3 (Materials Project id mp-1996)

       253      156      156        0        0        0  
       156      253      156        0        0        0  
       156      156      253        0        0        0  
         0        0        0      121        0        0  
         0        0        0        0      121        0  
         0        0        0        0        0      121  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 188.33 GPaEV = 237.35 GPaGV = 92 GPaνV = 0.28995
ReussKR = 188.33 GPaER = 200.32 GPaGR = 75.723 GPaνR = 0.32273
HillKH = 188.33 GPaEH = 219.07 GPaGH = 83.861 GPaνH = 0.30613

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
97 GPa 97 GPa 121 GPa 121 GPa 121 GPa 565 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 134 GPa 298.97 GPa 1.7699 TPa–1 1.7699 TPa–1 48.5 GPa 121 GPa-0.0553390.65072Value
Anisotropy 2.231 1.0000 2.495Anisotropy
Axis 0.0000
1.0000
0.0000
0.5774
0.5773
-0.5774
0.7934
0.0000
0.6088
0.1294
0.9830
0.1305
0.7071
0.0001
-0.7071
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
-0.0000
0.7071
-0.7071
Axis
-0.7071
-0.0002
-0.7071
1.0000
0.0002
-0.0000
-0.7071
-0.0002
-0.7071
-1.0000
0.0000
0.0000
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