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 KAg2AsO4 (Materials Project id mp-12015)

       109       62       39        0        0        0  
        62      109       39        0        0        0  
        39       39       41        0        0        0  
         0        0        0       20        0        0  
         0        0        0        0       20        0  
         0        0        0        0        0       17  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 59.889 GPaEV = 52.365 GPaGV = 19.333 GPaνV = 0.35427
ReussKR = 40.918 GPaER = 45.093 GPaGR = 17.128 GPaνR = 0.31632
HillKH = 50.403 GPaEH = 48.808 GPaGH = 18.231 GPaνH = 0.33861

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
17 GPa 20 GPa 20 GPa 20.753 GPa 47 GPa 191.25 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 23.211 GPa 63.333 GPa 0.50391 TPa–1 23.432 TPa–1 12.105 GPa 23.5 GPa0.0708260.62178Value
Anisotropy 2.729 46.5000 1.941 8.7789Anisotropy
Axis 0.0000
0.0000
1.0000
0.9889
-0.0000
0.1485
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
-0.5001
0.4998
-0.7071
0.7071
0.7071
0.0000
-0.4864
0.4861
-0.7260
1.0000
-0.0003
-0.0000
Axis
0.4999
-0.5002
-0.7071
-0.7071
0.7071
-0.0000
0.5133
-0.5135
-0.6876
-0.0000
-0.0004
-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