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 SrPd5 (Materials Project id mp-1260)

       156       74       78        0        0        0  
        74      156       78        0        0        0  
        78       78      209        0        0        0  
         0        0        0       50        0        0  
         0        0        0        0       50        0  
         0        0        0        0        0       41  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 109 GPaEV = 124.65 GPaGV = 47.6 GPaνV = 0.3094
ReussKR = 106.85 GPaER = 122.35 GPaGR = 46.73 GPaνR = 0.30915
HillKH = 107.93 GPaEH = 123.5 GPaGH = 47.165 GPaνH = 0.30928

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
41 GPa 50 GPa 50 GPa 82 GPa 108.69 GPa 330.31 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 111.01 GPa 156.1 GPa 2.0612 TPa–1 3.6488 TPa–1 41 GPa 50.608 GPa0.241180.35377Value
Anisotropy 1.406 1.7703 1.234 1.4669Anisotropy
Axis 0.9239
0.3827
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
1.0000
-0.0008
-0.0000
-0.1959
0.6794
0.7071
-0.8413
0.5405
0.0000
1.0000
-0.0004
-0.0000
Axis
0.0008
1.0000
-0.0000
-0.1959
0.6794
-0.7071
-0.0000
0.0000
-1.0000
0.0004
1.0000
-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