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 SrAgO2 (Materials Project id mp-997100)

       237      103       17        0        0        0  
       103      237       17        0        0        0  
        17       17       91        0        0        0  
         0        0        0       17        0        0  
         0        0        0        0       17        0  
         0        0        0        0        0       52  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 93.222 GPaEV = 117.92 GPaGV = 45.733 GPaνV = 0.28918
ReussKR = 66.877 GPaER = 76.865 GPaGR = 29.373 GPaνR = 0.30844
HillKH = 80.049 GPaEH = 97.425 GPaGH = 37.553 GPaνH = 0.29716

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
17 GPa 17 GPa 52 GPa 88.7 GPa 134 GPa 342.3 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 52.768 GPa 191.21 GPa 2.4373 TPa–1 10.078 TPa–1 17 GPa 67 GPa0.050.59731Value
Anisotropy 3.624 4.1351 3.941 11.9462Anisotropy
Axis 0.4686
0.4686
0.7489
1.0000
0.0000
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.7071
0.7071
0.0000
0.0000
0.0000
1.0000
0.7792
0.0002
0.6267
Axis
-0.1736
0.9848
-0.0000
-0.7071
0.7071
0.0000
0.1736
0.9848
-0.0000
0.6267
0.0003
-0.7792
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