# 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 Rb2TlInCl6 (Materials Project id mp-989550)

48 10 10 0 0 0 10 48 10 0 0 0 10 10 48 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4

### Average properties

Averaging scheme | Bulk modulus | Young's modulus | Shear modulus | Poisson's ratio |
---|---|---|---|---|

Voigt | K_{V} = 22.667 GPa | E_{V} = 26.154 GPa | G_{V} = 10 GPa | ν_{V} = 0.30769 |

Reuss | K_{R} = 22.667 GPa | E_{R} = 16.15 GPa | G_{R} = 5.8462 GPa | ν_{R} = 0.38125 |

Hill | K_{H} = 22.667 GPa | E_{H} = 21.289 GPa | G_{H} = 7.9231 GPa | ν_{H} = 0.34347 |

### Eigenvalues of the stiffness matrix

λ_{1} |
λ_{2} |
λ_{3} |
λ_{4} |
λ_{5} |
λ_{6} |
---|---|---|---|---|---|

4 GPa | 4 GPa | 4 GPa | 38 GPa | 38 GPa | 68 GPa |

### Variations of the elastic moduli

Young's modulus | Linear compressibility | Shear modulus | Poisson's ratio | ||||||
---|---|---|---|---|---|---|---|---|---|

E_{min} | E_{max} |
β_{min} | β_{max} | G_{min} | G_{max} |
ν_{min} | ν_{max} | ||

Value | 11.333 GPa | 44.552 GPa | 14.706 TPa^{–1} | 14.706 TPa^{–1} | 4 GPa | 19 GPa | 0.053908 | 0.74124 | Value |

Anisotropy | 3.931 | 1.0000 | 4.75 | 13.7500 | Anisotropy | ||||

Axis | -0.5774 0.5774 -0.5773 |
1.0000 0.0000 0.0000 |
0.3827 0.0000 0.9239 |
-0.3706 0.4830 0.7934 |
0.0000 0.0000 1.0000 |
0.7071 0.0001 -0.7071 |
-0.7071 0.0000 0.7071 |
0.7071 -0.0003 0.7071 |
Axis |

1.0000 0.0000 -0.0000 |
-0.7071 -0.0002 -0.7071 |
0.0000 -1.0000 0.0000 |
0.7071 -0.0001 -0.7071 |
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