# 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 CdSnSb2 (Materials Project id mp-10063)

52 29 28 0 0 0 29 52 28 0 0 0 28 28 51 0 0 0 0 0 0 24 0 0 0 0 0 0 24 0 0 0 0 0 0 23

### Average properties

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

Voigt | K_{V} = 36.111 GPa | E_{V} = 48.205 GPa | G_{V} = 18.867 GPa | ν_{V} = 0.27752 |

Reuss | K_{R} = 36.099 GPa | E_{R} = 43.545 GPa | G_{R} = 16.761 GPa | ν_{R} = 0.29896 |

Hill | K_{H} = 36.105 GPa | E_{H} = 45.894 GPa | G_{H} = 17.814 GPa | ν_{H} = 0.28814 |

### Eigenvalues of the stiffness matrix

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

23 GPa | 23 GPa | 23.656 GPa | 24 GPa | 24 GPa | 108.34 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 | 31.557 GPa | 58.248 GPa | 8.9739 TPa^{–1} | 9.7542 TPa^{–1} | 11.745 GPa | 24 GPa | 0.0026962 | 0.54696 | Value |

Anisotropy | 1.846 | 1.0870 | 2.043 | 202.8631 | Anisotropy | ||||

Axis | 1.0000 0.0000 0.0000 |
-0.5768 0.5768 0.5785 |
0.6931 0.7209 -0.0000 |
0.0000 0.0000 1.0000 |
0.7071 -0.0002 0.7071 |
-0.0000 0.0000 1.0000 |
0.7071 -0.0003 0.7071 |
0.7192 -0.0001 0.6948 |
Axis |

0.7071 -0.0006 -0.7071 |
-0.7660 0.6428 -0.0000 |
0.7071 -0.0005 -0.7071 |
0.0001 1.0000 0.0001 |
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