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 Rb3As (Materials Project id mp-7898)

        28       20       16        0        0        0  
        20       28       16        0        0        0  
        16       16       43        0        0        0  
         0        0        0        8        0        0  
         0        0        0        0        8        0  
         0        0        0        0        0        4  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 22.556 GPaEV = 19.359 GPaGV = 7.1333 GPaνV = 0.35695
ReussKR = 22.171 GPaER = 16.441 GPaGR = 5.9723 GPaνR = 0.37641
HillKH = 22.363 GPaEH = 17.909 GPaGH = 6.5528 GPaνH = 0.36653

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
4 GPa 8 GPa 8 GPa 8 GPa 22.735 GPa 68.265 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 13.097 GPa 32.333 GPa 10.309 TPa–1 17.397 TPa–1 4 GPa 8 GPa0.135020.63713Value
Anisotropy 2.469 1.6875 2 4.7187Anisotropy
Axis 0.5000
0.8660
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.3827
0.9239
0.0000
1.0000
-0.0008
0.0000
0.0000
0.0000
1.0000
0.7712
0.6366
0.0000
-0.5770
0.8167
0.0000
Axis
0.0008
1.0000
0.0000
0.7660
0.6428
-0.0000
-0.0000
-0.0000
1.0000
-0.8167
-0.5770
-0.0000
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