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 CdPt (Materials Project id mp-1194)

       204       82      120        0        0        0  
        82      204      120        0        0        0  
       120      120      181        0        0        0  
         0        0        0       63        0        0  
         0        0        0        0       63        0  
         0        0        0        0        0       38  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 137 GPaEV = 135.16 GPaGV = 50.6 GPaνV = 0.33557
ReussKR = 136.7 GPaER = 122.51 GPaGR = 45.353 GPaνR = 0.35064
HillKH = 136.85 GPaEH = 128.87 GPaGH = 47.976 GPaνH = 0.34305

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
38 GPa 55.859 GPa 63 GPa 63 GPa 122 GPa 411.14 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 80.301 GPa 162.46 GPa 2.003 TPa–1 2.6561 TPa–1 29.92 GPa 63 GPa0.0196240.64997Value
Anisotropy 2.023 1.3261 2.106 33.1213Anisotropy
Axis 0.0000
0.0000
1.0000
0.8040
0.0000
0.5946
0.0000
0.0000
1.0000
-0.1305
0.9914
0.0000
-0.5002
0.4999
-0.7071
0.0000
-0.0000
1.0000
1.0000
0.0007
0.0000
1.0000
-0.0003
0.0000
Axis
0.4998
-0.5001
-0.7071
1.0000
0.0001
-0.0000
-0.0007
1.0000
0.0000
0.0000
-0.0004
-1.0000
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