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 RbTiBr3 (Materials Project id mp-569807)

        24        9       11        0        0        0  
         9       24       11        0        0        0  
        11       11       41        0        0        0  
         0        0        0        4        0        0  
         0        0        0        0        4        0  
         0        0        0        0        0        7  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 16.778 GPaEV = 18.127 GPaGV = 6.8667 GPaνV = 0.31993
ReussKR = 15.648 GPaER = 15.411 GPaGR = 5.7683 GPaνR = 0.33585
HillKH = 16.213 GPaEH = 16.774 GPaGH = 6.3175 GPaνH = 0.32757

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
4 GPa 4 GPa 7 GPa 15 GPa 20.938 GPa 53.062 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 12.572 GPa 33.667 GPa 9.901 TPa–1 27.003 TPa–1 4 GPa 9.8726 GPa0.158730.61448Value
Anisotropy 2.678 2.7273 2.468 3.8713Anisotropy
Axis 0.5402
0.5402
0.6453
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.7934
0.6088
0.0000
0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
-0.6846
-0.0000
0.7289
0.6178
0.0001
-0.7864
Axis
1.0000
0.0000
-0.0000
-0.7071
-0.0002
-0.7071
0.0000
-1.0000
-0.0000
-0.7864
-0.0002
-0.6178
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