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 SrCO3 (Materials Project id mp-38035)

       113       49       48       14        0        0  
        49      113       48      -14        0        0  
        48       48       68        0        0        0  
        14      -14        0       22        0        0  
         0        0        0        0       22       14  
         0        0        0        0       14       32  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 64.889 GPaEV = 66.778 GPaGV = 25.133 GPaνV = 0.32848
ReussKR = 60.453 GPaER = 49.846 GPaGR = 18.291 GPaνR = 0.36258
HillKH = 62.671 GPaEH = 58.393 GPaGH = 21.712 GPaνH = 0.34471

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
12.134 GPa 14.138 GPa 32.435 GPa 41.866 GPa 71.862 GPa 197.57 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 33.925 GPa 100.2 GPa 3.1211 TPa–1 10.3 TPa–1 12.134 GPa 41.866 GPa-0.033310.83468Value
Anisotropy 2.953 3.3000 3.45Anisotropy
Axis 0.6676
0.3854
-0.6370
-0.0000
0.9240
-0.3824
-0.1305
0.9914
0.0000
0.0000
0.0000
1.0000
0.4989
0.2880
0.8174
-0.5000
0.8660
0.0000
-0.6679
0.3856
0.6366
-0.5000
0.8660
0.0000
Axis
-0.5000
0.8660
-0.0000
-0.7079
-0.4087
0.5761
-0.5000
-0.8660
-0.0000
-0.5674
-0.3276
0.7555
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