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 Sr2ZnCu2(SO)2 (Materials Project id mp-9453)

       154       74       32        0        0        0  
        74      154       32        0        0        0  
        32       32       85        0        0        0  
         0        0        0       41        0        0  
         0        0        0        0       41        0  
         0        0        0        0        0       39  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 74.333 GPaEV = 104.33 GPaGV = 41.2 GPaνV = 0.26609
ReussKR = 64.193 GPaER = 99.26 GPaGR = 39.951 GPaνR = 0.24229
HillKH = 69.263 GPaEH = 101.84 GPaGH = 40.575 GPaνH = 0.25494

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
39 GPa 41 GPa 41 GPa 71.882 GPa 80 GPa 241.12 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 76.018 GPa 114.91 GPa 3.0579 TPa–1 9.4623 TPa–1 38.896 GPa 41 GPa0.13510.44662Value
Anisotropy 1.512 3.0943 1.054 3.3058Anisotropy
Axis 0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.4997
0.5002
0.7071
0.0000
0.0000
1.0000
0.3507
0.3507
-0.8684
0.7071
0.7071
-0.0000
Axis
0.5002
0.4998
-0.7071
-0.9397
-0.3420
0.0000
0.6140
0.6140
0.4959
-0.7071
0.7071
-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