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 CeAl3Pt2 (Materials Project id mp-1025102)

       227      102       83        0        0        0  
       102      227       83        0        0        0  
        83       83      224        0        0        0  
         0        0        0       67        0        0  
         0        0        0        0       67        0  
         0        0        0        0        0       63  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 134.89 GPaEV = 171.86 GPaGV = 66.733 GPaνV = 0.28765
ReussKR = 134.65 GPaER = 171.22 GPaGR = 66.462 GPaνR = 0.28807
HillKH = 134.77 GPaEH = 171.54 GPaGH = 66.598 GPaνH = 0.28786

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
63 GPa 67 GPa 67 GPa 125 GPa 147.91 GPa 405.09 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 168.81 GPa 182.12 GPa 2.3532 TPa–1 2.7204 TPa–1 62.5 GPa 70.928 GPa0.236020.36304Value
Anisotropy 1.079 1.1560 1.135 1.5382Anisotropy
Axis 0.8591
-0.0000
0.5119
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
-0.7071
0.7071
0.0000
0.4998
0.5002
0.7071
1.0000
-0.0004
-0.0000
-1.0000
0.0000
0.0000
Axis
-0.7071
-0.7071
0.0000
0.5003
0.4997
-0.7071
-0.0000
-0.0003
-1.0000
-0.0000
-1.0000
0.0001
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