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 LaAgSO (Materials Project id mp-6625)

       147       52       49        0        0        0  
        52      147       49        0        0        0  
        49       49       84        0        0        0  
         0        0        0       26        0        0  
         0        0        0        0       26        0  
         0        0        0        0        0       47  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 75.333 GPaEV = 90.92 GPaGV = 35 GPaνV = 0.29885
ReussKR = 69.673 GPaER = 82.822 GPaGR = 31.808 GPaνR = 0.30188
HillKH = 72.503 GPaEH = 86.871 GPaGH = 33.404 GPaνH = 0.3003

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
26 GPa 26 GPa 47 GPa 51.454 GPa 95 GPa 231.55 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 59.869 GPa 113.79 GPa 2.9377 TPa–1 8.4774 TPa–1 26 GPa 47.5 GPa0.197290.46798Value
Anisotropy 1.901 2.8857 1.827 2.3720Anisotropy
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
0.0000
0.0000
1.0000
0.7071
0.7071
-0.0000
0.9667
0.0002
0.2559
1.0000
-0.0004
-0.0000
Axis
0.1735
0.9848
-0.0000
-0.7071
0.7071
0.0000
-0.0002
1.0000
-0.0000
-0.0000
-0.0003
-1.0000
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