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 Rb2CrCl4 (Materials Project id mp-570910)

        38       10       11        0        0        0  
        10       38       11        0        0        0  
        11       11       35        0        0        0  
         0        0        0        8        0        0  
         0        0        0        0        8        0  
         0        0        0        0        0       11  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 19.444 GPaEV = 27.053 GPaGV = 10.667 GPaνV = 0.26812
ReussKR = 19.432 GPaER = 25.896 GPaGR = 10.132 GPaνR = 0.2779
HillKH = 19.438 GPaEH = 26.477 GPaGH = 10.4 GPaνH = 0.27299

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
8 GPa 8 GPa 11 GPa 24.64 GPa 28 GPa 58.36 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 22.468 GPa 33.304 GPa 16.69 TPa–1 18.081 TPa–1 8 GPa 14 GPa0.152360.44469Value
Anisotropy 1.482 1.0833 1.75 2.9186Anisotropy
Axis 0.5091
0.5091
-0.6940
0.0000
1.0000
0.0000
0.5000
0.8660
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.7071
0.7071
-0.0000
0.7764
0.0004
0.6302
0.7273
-0.0003
0.6863
Axis
1.0000
0.0000
-0.0000
-0.7071
0.7071
0.0000
-0.0004
1.0000
-0.0002
0.6863
-0.0005
-0.7273
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