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 K2PtCl4 (Materials Project id mp-22934)

        22        6        6        0        0        0  
         6       26        4        0        0        0  
         6        4       26        0        0        0  
         0        0        0        5        0        0  
         0        0        0        0        5        0  
         0        0        0        0        0        5  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 11.778 GPaEV = 17.248 GPaGV = 6.8667 GPaνV = 0.25592
ReussKR = 11.76 GPaER = 15.743 GPaGR = 6.1645 GPaνR = 0.27689
HillKH = 11.769 GPaEH = 16.502 GPaGH = 6.5156 GPaνH = 0.26631

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
5 GPa 5 GPa 5 GPa 16.619 GPa 22 GPa 35.381 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 13.134 GPa 24.134 GPa 27.211 TPa–1 30.612 TPa–1 5 GPa 11 GPa0.0916030.47197Value
Anisotropy 1.837 1.1250 2.2 5.1523Anisotropy
Axis 0.5935
0.5691
0.5691
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
-0.0003
0.7071
-0.7071
-0.4094
0.0000
0.9123
0.6715
-0.0001
0.7410
Axis
-0.7660
0.6428
-0.0000
-0.0003
-0.7071
-0.7071
-0.0000
-1.0000
-0.0000
0.7410
-0.0001
-0.6715
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