# 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 VAg3O4 (Materials Project id mp-19412)

80 72 64 0 0 0 72 80 64 0 0 0 64 64 88 0 0 0 0 0 0 -6 0 0 0 0 0 0 -6 0 0 0 0 0 0 13

### Average properties

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

Voigt | K_{V} = 72 GPa | E_{V} = 10.042 GPa | G_{V} = 3.4 GPa | ν_{V} = 0.47675 |

Reuss | K_{R} = 72 GPa | E_{R} = 149.89 GPa | G_{R} = 65 GPa | ν_{R} = 0.15302 |

Hill | K_{H} = 72 GPa | E_{H} = 88.576 GPa | G_{H} = 34.2 GPa | ν_{H} = 0.29496 |

### Eigenvalues of the stiffness matrix

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

-6 GPa | -6 GPa | 8 GPa | 13 GPa | 24 GPa | 216 GPa |

Stiffness matrix is not definite positive, crystal is mechanically unstable

No further analysis will be performed.

No further analysis will be performed.