# 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 GaCuPt2 (Materials Project id mp-644280)

242 154 154 0 0 0 154 269 142 0 0 0 154 142 269 0 0 0 0 0 0 103 0 0 0 0 0 0 80 0 0 0 0 0 0 80

### Average properties

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

Voigt | K_{V} = 186.67 GPa | E_{V} = 197.49 GPa | G_{V} = 74.6 GPa | ν_{V} = 0.32367 |

Reuss | K_{R} = 186.49 GPa | E_{R} = 185.37 GPa | G_{R} = 69.461 GPa | ν_{R} = 0.33433 |

Hill | K_{H} = 186.58 GPa | E_{H} = 191.45 GPa | G_{H} = 72.031 GPa | ν_{H} = 0.32898 |

### Eigenvalues of the stiffness matrix

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

80 GPa | 80 GPa | 92.893 GPa | 103 GPa | 127 GPa | 560.11 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 | 126.59 GPa | 227.25 GPa | 1.6913 TPa^{–1} | 1.9796 TPa^{–1} | 49.797 GPa | 103 GPa | 0.021378 | 0.62276 | Value |

Anisotropy | 1.795 | 1.1705 | 2.068 | 29.1313 | Anisotropy | ||||

Axis | 1.0000 0.0000 0.0000 |
0.4908 0.6161 0.6160 |
0.0000 0.9659 0.2588 |
1.0000 0.0000 0.0000 |
0.7071 -0.0002 0.7071 |
0.0004 0.0003 1.0000 |
0.0000 0.7071 0.7071 |
0.0000 0.7071 0.7071 |
Axis |

0.7071 -0.0006 -0.7071 |
-0.0001 1.0000 -0.0003 |
-0.0000 -0.7071 0.7071 |
-1.0000 0.0000 0.0000 |
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