# 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 PbC2(SN)2 (Materials Project id mp-20605)

34 27 16 0 5 0 27 48 17 0 7 0 16 17 41 0 5 0 0 0 0 13 0 4 5 7 5 0 10 0 0 0 0 4 0 20

### Average properties

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

Voigt | K_{V} = 27 GPa | E_{V} = 33.16 GPa | G_{V} = 12.8 GPa | ν_{V} = 0.29531 |

Reuss | K_{R} = 23.137 GPa | E_{R} = 27.399 GPa | G_{R} = 10.517 GPa | ν_{R} = 0.30263 |

Hill | K_{H} = 25.068 GPa | E_{H} = 30.281 GPa | G_{H} = 11.658 GPa | ν_{H} = 0.29868 |

### Eigenvalues of the stiffness matrix

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

8.5969 GPa | 11.185 GPa | 12.892 GPa | 21.815 GPa | 28.101 GPa | 83.41 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 | 17.356 GPa | 51.33 GPa | 6.1338 TPa^{–1} | 29.389 TPa^{–1} | 6.5335 GPa | 21.815 GPa | 0.06986 | 0.73606 | Value |

Anisotropy | 2.958 | 4.7913 | 3.339 | 10.5362 | Anisotropy | ||||

Axis | 0.9805 0.0000 -0.1965 |
-0.6103 0.7423 -0.2767 |
0.6728 0.0000 0.7398 |
-0.7398 -0.0000 0.6728 |
-0.7026 0.7071 -0.0797 |
-0.9106 0.0000 -0.4132 |
-0.0000 1.0000 0.0000 |
-0.0000 1.0000 0.0000 |
Axis |

-0.7026 -0.7071 -0.0797 |
0.0000 -1.0000 -0.0000 |
-0.2290 -0.0000 0.9734 |
-0.9734 -0.0000 -0.2290 |
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