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 Mn(PtO2)3 (Materials Project id mp-18971)

       317      147      117        0        0        0  
       147      318      133        0        0        0  
       117      133      291        0        0        0  
         0        0        0       37        0        0  
         0        0        0        0       58        0  
         0        0        0        0        0      103  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 191.11 GPaEV = 198.66 GPaGV = 74.867 GPaνV = 0.32675
ReussKR = 190.03 GPaER = 175.27 GPaGR = 65.095 GPaνR = 0.34627
HillKH = 190.57 GPaEH = 187.05 GPaGH = 69.981 GPaνH = 0.33641

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
37 GPa 58 GPa 103 GPa 164.92 GPa 186.31 GPa 574.77 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 120.73 GPa 261.58 GPa 1.4937 TPa–1 2.0713 TPa–1 37 GPa 103 GPa0.117410.63448Value
Anisotropy 2.167 1.3867 2.784 5.4041Anisotropy
Axis 0.0000
0.7063
0.7080
0.7423
0.6701
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
-0.0003
-0.0000
1.0000
1.0000
-0.0001
0.0000
0.5753
0.5566
0.5993
0.3198
0.6599
-0.6799
Axis
0.0000
1.0000
0.0000
0.0001
1.0000
-0.0000
-0.7939
0.5563
0.2454
-0.1394
-0.6770
-0.7226
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