# 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 Cs2Pd(IBr2)2 (Materials Project id mp-543024)

17 9 9 0 0 0 9 17 9 0 0 0 9 9 63 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 8

### Average properties

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

Voigt | K_{V} = 16.778 GPa | E_{V} = 20.41 GPa | G_{V} = 7.8667 GPa | ν_{V} = 0.29725 |

Reuss | K_{R} = 12.724 GPa | E_{R} = 13.964 GPa | G_{R} = 5.3011 GPa | ν_{R} = 0.31709 |

Hill | K_{H} = 14.751 GPa | E_{H} = 17.194 GPa | G_{H} = 6.5839 GPa | ν_{H} = 0.30573 |

### Eigenvalues of the stiffness matrix

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

4 GPa | 4 GPa | 8 GPa | 8 GPa | 22.044 GPa | 66.956 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 | 10.769 GPa | 56.769 GPa | 5.4201 TPa^{–1} | 36.585 TPa^{–1} | 4 GPa | 12.136 GPa | 0.072727 | 0.65232 | Value |

Anisotropy | 5.271 | 6.7500 | 3.034 | 8.9694 | Anisotropy | ||||

Axis | 0.8619 0.0000 0.5071 |
0.0000 0.0000 1.0000 |
0.0000 0.0000 1.0000 |
0.9659 0.2588 0.0000 |
0.0000 0.0000 1.0000 |
-0.5002 0.4998 -0.7071 |
1.0000 0.0002 0.0000 |
-0.3899 0.3901 0.8341 |
Axis |

1.0000 0.0000 -0.0000 |
0.4999 -0.5001 -0.7071 |
-0.0000 0.0002 -1.0000 |
-0.5900 0.5897 -0.5516 |
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