# 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 ZnSi3 (Materials Project id mp-971761)

-27 69 69 0 0 0 69 -27 69 0 0 0 69 69 -27 0 0 0 0 0 0 -38 0 0 0 0 0 0 -38 0 0 0 0 0 0 -38

### Average properties

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

Voigt | K_{V} = 37 GPa | E_{V} = -202.7 GPa | G_{V} = -42 GPa | ν_{V} = 1.413 |

Reuss | K_{R} = 37 GPa | E_{R} = -198.49 GPa | G_{R} = -41.455 GPa | ν_{R} = 1.3941 |

Hill | K_{H} = 37 GPa | E_{H} = -200.59 GPa | G_{H} = -41.727 GPa | ν_{H} = 1.4035 |

### Eigenvalues of the stiffness matrix

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

-96 GPa | -96 GPa | -38 GPa | -38 GPa | -38 GPa | 111 GPa |

Stiffness matrix is not definite positive, crystal is mechanically unstable

No further analysis will be performed.

No further analysis will be performed.