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 CeAl3Pd2 (Materials Project id mp-4785)

       180       71       79        0        0        0  
        71      180       79        0        0        0  
        79       79      228        0        0        0  
         0        0        0       62        0        0  
         0        0        0        0       62        0  
         0        0        0        0        0       54  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 116.22 GPaEV = 152.55 GPaGV = 59.533 GPaνV = 0.28123
ReussKR = 114.44 GPaER = 151.1 GPaGR = 59.025 GPaνR = 0.27995
HillKH = 115.33 GPaEH = 151.83 GPaGH = 59.279 GPaνH = 0.28059

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
54 GPa 62 GPa 62 GPa 109 GPa 127.19 GPa 351.81 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 139.33 GPa 178.27 GPa 2.0784 TPa–1 3.3299 TPa–1 54 GPa 62 GPa0.245990.31474Value
Anisotropy 1.28 1.6022 1.148 1.2795Anisotropy
Axis 0.7071
0.7071
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.3827
0.9239
0.0000
1.0000
-0.0002
0.0000
-0.0000
0.0000
1.0000
0.7071
0.7071
0.0000
0.0000
0.0000
1.0000
Axis
0.0002
1.0000
0.0000
-1.0000
0.0000
-0.0000
-0.0000
0.0000
1.0000
0.7623
0.6472
-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