# 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 BaAg2SnS4 (Materials Project id mp-555166)

35 23 31 0 0 0 23 46 27 0 0 0 31 27 83 0 0 0 0 0 0 15 0 0 0 0 0 0 15 0 0 0 0 0 0 13

### Average properties

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

Voigt | K_{V} = 36.222 GPa | E_{V} = 37.52 GPa | G_{V} = 14.133 GPa | ν_{V} = 0.32736 |

Reuss | K_{R} = 30.857 GPa | E_{R} = 33.21 GPa | G_{R} = 12.573 GPa | ν_{R} = 0.32062 |

Hill | K_{H} = 33.539 GPa | E_{H} = 35.367 GPa | G_{H} = 13.353 GPa | ν_{H} = 0.32425 |

### Eigenvalues of the stiffness matrix

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

13 GPa | 15 GPa | 15 GPa | 15.173 GPa | 33.408 GPa | 115.42 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 | 18.939 GPa | 54.12 GPa | 0.75209 TPa^{–1} | 20.717 TPa^{–1} | 8.1516 GPa | 16.835 GPa | 0.11934 | 0.74468 | Value |

Anisotropy | 2.858 | 27.5455 | 2.065 | 6.2399 | Anisotropy | ||||

Axis | 1.0000 0.0000 0.0000 |
0.0000 0.0000 1.0000 |
0.0000 0.0000 1.0000 |
1.0000 0.0000 0.0000 |
-0.7071 0.7071 -0.0000 |
0.1896 0.6812 0.7071 |
0.0000 1.0000 0.0001 |
0.0000 0.0000 1.0000 |
Axis |

-0.7071 -0.7071 0.0000 |
0.1900 0.6811 -0.7071 |
0.0000 0.0001 -1.0000 |
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