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 Rb2MnBr4 (Materials Project id mp-27263)

        30       15       16        0        0        0  
        15       30       16        0        0        0  
        16       16       33        0        0        0  
         0        0        0        5        0        0  
         0        0        0        0        5        0  
         0        0        0        0        0        9  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 20.778 GPaEV = 18.556 GPaGV = 6.8667 GPaνV = 0.35116
ReussKR = 20.702 GPaER = 17.583 GPaGR = 6.4719 GPaνR = 0.35844
HillKH = 20.74 GPaEH = 18.071 GPaGH = 6.6693 GPaνH = 0.35478

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
5 GPa 5 GPa 9 GPa 15 GPa 15.591 GPa 62.409 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 15.158 GPa 22.354 GPa 13.361 TPa–1 17.472 TPa–1 5 GPa 9 GPa0.204230.54989Value
Anisotropy 1.475 1.3077 1.8 2.6925Anisotropy
Axis 0.7271
-0.0000
0.6866
0.7071
0.7071
0.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
1.0000
-0.0002
0.0000
-0.5792
0.5792
0.5737
0.5060
0.5060
0.6985
Axis
-0.7660
0.6428
-0.0000
0.0002
1.0000
0.0000
-0.7071
-0.7071
-0.0000
-0.4939
-0.4939
0.7156
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