ELATE: Elastic tensor analysis
Welcome to ELATE, the online tool for analysis of elastic tensors, developed by Romain Gaillac and François-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 YbBi2BrO4 (Materials Project id mp-552016)
134 62 27 0 0 0 62 134 27 0 0 0 27 27 66 0 0 0 0 0 0 10 0 0 0 0 0 0 10 0 0 0 0 0 0 50
Average properties
Averaging scheme | Bulk modulus | Young's modulus | Shear modulus | Poisson's ratio |
---|---|---|---|---|
Voigt | KV = 62.889 GPa | EV = 74.355 GPa | GV = 28.533 GPa | νV = 0.30295 |
Reuss | KR = 52.173 GPa | ER = 47.985 GPa | GR = 17.816 GPa | νR = 0.34671 |
Hill | KH = 57.531 GPa | EH = 61.293 GPa | GH = 23.174 GPa | νH = 0.32243 |
Eigenvalues of the stiffness matrix
λ1 | λ2 | λ3 | λ4 | λ5 | λ6 |
---|---|---|---|---|---|
10 GPa | 10 GPa | 50 GPa | 55.614 GPa | 72 GPa | 206.39 GPa |
Variations of the elastic moduli
Young's modulus | Linear compressibility | Shear modulus | Poisson's ratio | Emin | Emax | βmin | βmax | Gmin | Gmax | νmin | νmax |
---|---|---|---|---|---|---|---|---|---|
Value | 32.531 GPa | 126.98 GPa | 3.3978 TPa–1 | 12.371 TPa–1 | 10 GPa | 50 GPa | 0.074138 | 0.67749 | Value |
Anisotropy | 3.903 | 3.6410 | 5 | 9.1383 | Anisotropy | ||||
Axis | 0.6686 -0.0001 0.7437 |
0.7071 0.7071 0.0000 |
0.2588 0.9659 0.0000 |
0.0000 0.0000 1.0000 |
0.0000 0.0000 1.0000 |
1.0000 0.0007 -0.0000 |
0.4777 0.4777 0.7373 |
0.5646 0.5645 0.6022 |
Axis |
-0.7660 0.6428 -0.0000 |
-0.0007 1.0000 -0.0000 |
-0.7071 0.7071 -0.0000 |
0.4257 0.4258 -0.7984 |
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