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 Sr2Cu(ClO)2 (Materials Project id mp-23102)

       148       70       43        0        0        0  
        70      148       43        0        0        0  
        43       43       91        0        0        0  
         0        0        0       32        0        0  
         0        0        0        0       32        0  
         0        0        0        0        0       60  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 77.667 GPaEV = 102.85 GPaGV = 40.2 GPaνV = 0.27928
ReussKR = 70.789 GPaER = 95.405 GPaGR = 37.403 GPaνR = 0.27538
HillKH = 74.228 GPaEH = 99.131 GPaGH = 38.801 GPaνH = 0.27742

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
32 GPa 32 GPa 60 GPa 66.578 GPa 78 GPa 242.42 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 74.037 GPa 143.15 GPa 2.974 TPa–1 8.1784 TPa–1 32 GPa 60 GPa0.171990.38812Value
Anisotropy 1.933 2.7500 1.875 2.2566Anisotropy
Axis 0.0000
0.0000
1.0000
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
-0.0002
-0.0000
-0.5498
0.5498
-0.6289
0.6637
0.6637
0.3450
Axis
1.0000
0.0000
-0.0000
0.0002
1.0000
-0.0000
-0.7071
-0.7071
0.0000
0.2438
0.2441
-0.9386
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