# 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 K3AgSn3Se8 (Materials Project id mp-571594)

23 7 8 0 0 0 7 23 8 0 0 0 8 8 47 0 0 0 0 0 0 5 0 0 0 0 0 0 5 0 0 0 0 0 0 7

### Average properties

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

Voigt | K_{V} = 15.444 GPa | E_{V} = 20.612 GPa | G_{V} = 8.0667 GPa | ν_{V} = 0.27757 |

Reuss | K_{R} = 13.935 GPa | E_{R} = 17.447 GPa | G_{R} = 6.7555 GPa | ν_{R} = 0.29133 |

Hill | K_{H} = 14.69 GPa | E_{H} = 19.033 GPa | G_{H} = 7.4111 GPa | ν_{H} = 0.28406 |

### Eigenvalues of the stiffness matrix

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

5 GPa | 5 GPa | 7 GPa | 16 GPa | 24.349 GPa | 52.651 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 | 14.625 GPa | 42.733 GPa | 10.92 TPa^{–1} | 30.421 TPa^{–1} | 5 GPa | 11.701 GPa | 0.14519 | 0.55104 | Value |

Anisotropy | 2.922 | 2.7857 | 2.34 | 3.7954 | Anisotropy | ||||

Axis | -0.5653 0.5654 -0.6007 |
0.0000 0.0000 1.0000 |
0.0000 0.0000 1.0000 |
0.5000 0.8660 0.0000 |
0.0000 0.0000 1.0000 |
0.7071 -0.0003 0.7071 |
-0.6430 -0.0000 -0.7659 |
0.5998 0.0001 0.8002 |
Axis |

-0.7660 0.6428 -0.0000 |
0.7071 -0.0005 -0.7071 |
0.0000 -1.0000 0.0000 |
0.8002 0.0003 -0.5998 |
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