# 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 Co3Pt (Materials Project id mp-865193)

323 170 131 0 0 0 170 323 131 0 0 0 131 131 398 0 0 0 0 0 0 91 0 0 0 0 0 0 91 0 0 0 0 0 0 77

### Average properties

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

Voigt | K_{V} = 212 GPa | E_{V} = 242.49 GPa | G_{V} = 92.6 GPa | ν_{V} = 0.30936 |

Reuss | K_{R} = 211.62 GPa | E_{R} = 235.22 GPa | G_{R} = 89.455 GPa | ν_{R} = 0.31475 |

Hill | K_{H} = 211.81 GPa | E_{H} = 238.86 GPa | G_{H} = 91.028 GPa | ν_{H} = 0.31205 |

### Eigenvalues of the stiffness matrix

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

77 GPa | 91 GPa | 91 GPa | 153 GPa | 254.25 GPa | 636.75 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 | 221.41 GPa | 328.38 GPa | 1.4269 TPa^{–1} | 1.6492 TPa^{–1} | 76.5 GPa | 109.41 GPa | 0.17993 | 0.45334 | Value |

Anisotropy | 1.483 | 1.1558 | 1.43 | 2.5195 | Anisotropy | ||||

Axis | 0.9472 0.0001 0.3208 |
0.0000 0.0000 1.0000 |
0.0000 0.0000 1.0000 |
1.0000 0.0000 0.0000 |
-0.7071 0.7072 0.0000 |
0.5000 0.5000 0.7071 |
1.0000 0.0002 -0.0000 |
1.0000 -0.0001 -0.0000 |
Axis |

-0.7072 -0.7071 0.0000 |
0.5000 0.5000 -0.7071 |
-0.0000 0.0000 -1.0000 |
0.0001 1.0000 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