# 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 Na (Materials Project id mp-567772)

-1 11 11 0 0 0 11 -1 11 0 0 0 11 11 -1 0 0 0 0 0 0 7 0 0 0 0 0 0 7 0 0 0 0 0 0 7

### Average properties

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

Voigt | K_{V} = 7 GPa | E_{V} = 4.9737 GPa | G_{V} = 1.8 GPa | ν_{V} = 0.38158 |

Reuss | K_{R} = 7 GPa | E_{R} = 45 GPa | G_{R} = 52.5 GPa | ν_{R} = -0.57143 |

Hill | K_{H} = 7 GPa | E_{H} = 35.523 GPa | G_{H} = 27.15 GPa | ν_{H} = -0.34579 |

### Eigenvalues of the stiffness matrix

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

-12 GPa | -12 GPa | 7 GPa | 7 GPa | 7 GPa | 21 GPa |

Stiffness matrix is not definite positive, crystal is mechanically unstable

No further analysis will be performed.

No further analysis will be performed.