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 Rb3BAs2 (Materials Project id mp-9718)

        18       10       14        0       -1        0  
        10       23        8        0        2        0  
        14        8       26        0       -2        0  
         0        0        0        6        0        3  
        -1        2       -2        0       12        0  
         0        0        0        3        0        7  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 14.556 GPaEV = 18.837 GPaGV = 7.3333 GPaνV = 0.28431
ReussKR = 14.288 GPaER = 14.574 GPaGR = 5.4789 GPaνR = 0.33
HillKH = 14.422 GPaEH = 16.74 GPaGH = 6.4061 GPaνH = 0.30655

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
3.4586 GPa 6.5211 GPa 9.5414 GPa 10.621 GPa 17.844 GPa 44.014 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 8.8342 GPa 31.211 GPa 14.387 TPa–1 30.416 TPa–1 3.3469 GPa 11.938 GPa0.0102060.76056Value
Anisotropy 3.533 2.1142 3.567 74.5237Anisotropy
Axis 0.9996
-0.0000
0.0265
-0.6218
0.0000
0.7832
-0.0229
-0.0000
0.9997
0.9997
0.0000
0.0229
0.7749
0.2564
-0.5777
0.0373
0.4003
-0.9156
-0.1903
-0.0000
0.9817
-0.0621
0.0002
0.9981
Axis
-0.5818
0.6465
-0.4935
-0.9132
0.3857
0.1314
0.0000
-1.0000
-0.0000
0.9981
0.0001
0.0621
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