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 Sr2Mn3(AsO)2 (Materials Project id mp-19060)

       132       57       34        0        0        0  
        57      132       34        0        0        0  
        34       34      101        0        0        0  
         0        0        0       37        0        0  
         0        0        0        0       37        0  
         0        0        0        0        0       54  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 68.333 GPaEV = 103.75 GPaGV = 41.6 GPaνV = 0.24696
ReussKR = 65.792 GPaER = 100.66 GPaGR = 40.428 GPaνR = 0.24499
HillKH = 67.063 GPaEH = 102.21 GPaGH = 41.014 GPaνH = 0.24599

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
37 GPa 37 GPa 54 GPa 75 GPa 79.823 GPa 210.18 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 88.577 GPa 130.9 GPa 3.9936 TPa–1 7.2123 TPa–1 37 GPa 54 GPa0.17250.37787Value
Anisotropy 1.478 1.8060 1.459 2.1905Anisotropy
Axis 0.3302
0.0001
0.9439
0.7071
0.7071
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
-0.0003
-0.0000
0.4149
0.4149
-0.8097
1.0000
-0.0002
0.0000
Axis
-0.7662
0.6426
-0.0000
0.0003
1.0000
0.0000
-0.7071
0.7071
0.0000
0.0002
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