# 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 Co(NiSe2)2 (Materials Project id mp-1025318)

137 85 75 0 0 0 85 178 78 0 0 0 75 78 159 0 1 0 0 0 0 39 0 -9 0 0 1 0 56 0 0 0 0 -9 0 23

### Average properties

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

Voigt | K_{V} = 105.56 GPa | E_{V} = 104.96 GPa | G_{V} = 39.333 GPa | ν_{V} = 0.33427 |

Reuss | K_{R} = 104.07 GPa | E_{R} = 92.436 GPa | G_{R} = 34.186 GPa | ν_{R} = 0.35196 |

Hill | K_{H} = 104.81 GPa | E_{H} = 98.736 GPa | G_{H} = 36.76 GPa | ν_{H} = 0.34299 |

### Eigenvalues of the stiffness matrix

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

18.958 GPa | 43.042 GPa | 55.97 GPa | 66.036 GPa | 89.941 GPa | 318.05 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 | 62.452 GPa | 130.8 GPa | 2.2145 TPa^{–1} | 4.1488 TPa^{–1} | 18.958 GPa | 56.007 GPa | 0.0546 | 0.6955 | Value |

Anisotropy | 2.094 | 1.8735 | 2.954 | 12.7383 | Anisotropy | ||||

Axis | -0.6947 0.6789 -0.2376 |
0.5994 -0.0000 0.8004 |
0.0000 1.0000 0.0000 |
0.9995 0.0000 -0.0321 |
0.9122 -0.0001 0.4097 |
-0.0112 -0.0000 0.9999 |
-0.4228 0.4366 -0.7941 |
0.4100 0.6384 0.6514 |
Axis |

0.0001 1.0000 -0.0000 |
-0.9999 0.0000 -0.0112 |
-0.6766 0.4310 0.5971 |
-0.6408 0.7099 -0.2924 |
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