# 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 Ni(RhSe2)2 (Materials Project id mp-4852)

109 72 59 0 4 0 72 158 73 0 21 0 59 73 127 0 -6 0 0 0 0 35 0 13 4 21 -6 0 39 0 0 0 0 13 0 33

### Average properties

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

Voigt | K_{V} = 89.111 GPa | E_{V} = 90.649 GPa | G_{V} = 34.067 GPa | ν_{V} = 0.33046 |

Reuss | K_{R} = 85.198 GPa | E_{R} = 79.842 GPa | G_{R} = 29.707 GPa | ν_{R} = 0.34381 |

Hill | K_{H} = 87.154 GPa | E_{H} = 85.263 GPa | G_{H} = 31.887 GPa | ν_{H} = 0.33695 |

### Eigenvalues of the stiffness matrix

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

20.962 GPa | 29.673 GPa | 47.038 GPa | 55.506 GPa | 76.397 GPa | 271.42 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 | 60.353 GPa | 127.85 GPa | 2.0112 TPa^{–1} | 5.8607 TPa^{–1} | 20.962 GPa | 48.907 GPa | 0.10804 | 0.69211 | Value |

Anisotropy | 2.118 | 2.9140 | 2.333 | 6.4059 | Anisotropy | ||||

Axis | -0.5389 0.7256 0.4280 |
0.4589 0.7616 0.4577 |
0.0000 1.0000 0.0000 |
0.9618 0.0000 -0.2739 |
-0.7337 0.0000 0.6794 |
0.0405 0.4948 -0.8681 |
0.1190 0.4293 -0.8953 |
0.0000 1.0000 -0.0000 |
Axis |

-0.0000 -1.0000 -0.0000 |
-0.7448 0.5941 0.3038 |
-0.7272 -0.5763 -0.3730 |
-0.7163 0.0000 -0.6978 |
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