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 FeAgO2 (Materials Project id mp-18966)

       202       69       79        0        0        0  
        69      202       79        0        0        0  
        79       79      366        0        0        0  
         0        0        0       14        0        0  
         0        0        0        0       14        0  
         0        0        0        0        0       66  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 136 GPaEV = 145.4 GPaGV = 55 GPaνV = 0.32181
ReussKR = 126.21 GPaER = 76.662 GPaGR = 27.404 GPaνR = 0.39876
HillKH = 131.1 GPaEH = 111.88 GPaGH = 41.202 GPaνH = 0.35777

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
14 GPa 14 GPa 66 GPa 133 GPa 197.1 GPa 439.9 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 50.789 GPa 319.94 GPa 1.3033 TPa–1 3.3101 TPa–1 14 GPa 92.439 GPa0.0641030.82355Value
Anisotropy 6.299 2.5398 6.603 12.8473Anisotropy
Axis 0.5113
0.5113
0.6907
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
-0.0000
-0.0000
1.0000
0.7071
0.0001
-0.7071
0.6540
0.0003
-0.7565
0.6279
0.0001
0.7783
Axis
1.0000
0.0002
0.0000
-0.7071
-0.0002
-0.7071
-0.0005
1.0000
-0.0000
0.7783
0.0001
-0.6279
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