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 SrPd2 (Materials Project id mp-1558)

       113       64       64        0        0        0  
        64      113       64        0        0        0  
        64       64      113        0        0        0  
         0        0        0       40        0        0  
         0        0        0        0       40        0  
         0        0        0        0        0       40  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 80.333 GPaEV = 88.928 GPaGV = 33.8 GPaνV = 0.3155
ReussKR = 80.333 GPaER = 84.564 GPaGR = 31.922 GPaνR = 0.32456
HillKH = 80.333 GPaEH = 86.754 GPaGH = 32.861 GPaνH = 0.32001

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
40 GPa 40 GPa 40 GPa 49 GPa 49 GPa 241 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 66.718 GPa 102.92 GPa 4.1494 TPa–1 4.1494 TPa–1 24.5 GPa 40 GPa0.132810.49115Value
Anisotropy 1.543 1.0000 1.633 3.6981Anisotropy
Axis 0.0000
0.0000
1.0000
0.5774
0.5774
0.5773
0.7934
0.0000
0.6088
0.3314
0.8001
0.5000
0.7071
-0.0003
0.7071
-0.0000
0.0000
1.0000
0.7071
-0.0000
-0.7071
0.7071
-0.0001
0.7071
Axis
0.7071
-0.0005
-0.7071
-0.5000
0.8660
-0.0000
-0.7071
0.0002
-0.7071
0.0001
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