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 NdNi2B2C (Materials Project id mp-6102)

       272      119      137        0        0        0  
       119      272      137        0        0        0  
       137      137      270        0        0        0  
         0        0        0       62        0        0  
         0        0        0        0       62        0  
         0        0        0        0        0      118  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 177.78 GPaEV = 200.63 GPaGV = 76.467 GPaνV = 0.31191
ReussKR = 177.63 GPaER = 190.2 GPaGR = 71.96 GPaνR = 0.32154
HillKH = 177.7 GPaEH = 195.43 GPaGH = 74.213 GPaνH = 0.3167

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
62 GPa 62 GPa 118 GPa 127.53 GPa 153 GPa 533.47 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 171.5 GPa 243.72 GPa 1.7198 TPa–1 1.955 TPa–1 62 GPa 118 GPa0.0327280.49624Value
Anisotropy 1.421 1.1368 1.903 15.1624Anisotropy
Axis 0.5248
-0.0000
0.8512
0.7071
0.7071
0.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
1.0000
-0.0002
-0.0000
-0.7071
0.7071
0.0000
0.6557
0.6556
-0.3745
Axis
1.0000
0.0002
-0.0000
0.0002
1.0000
-0.0000
-0.7071
-0.7071
0.0000
-0.2646
-0.2650
-0.9272
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